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Practice Worksheets – Components 1 to 8

For certification June 2017 onwards

AQA Resources

Entry Level Certificate

MATHEMATICS

Our specification is published on our website (www.aqa.org.uk). We will also publish changes on our

website. The definitive version of our specification will always b the one on our website, this may differ

from printed versions.

Version 1.0 3

Contents

Introduction 5

Component 1 - Properties of Number 6

Component 2 – The Four Operations 40

Component 3 – Ratio 70

Component 4 – Money 100

Component 5 – The calendar and time 130

Component 6 – Measures 160

Component 7 – Geometry 190

Component 8 – Statistics 220

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Introduction

It is recognised that GCSE Mathematics is too demanding for some students.

Entry Level Certificate Mathematics is designed as a qualification that offers students who are unlikely to achieve a grade in GCSE mathematics the opportunity to achieve a certificated award. This specification has been designed to build on work undertaken at Key Stage 3. The specification has been developed with reference to National curriculum attainment targets and GCSE subject criteria for Mathematics. It is intended that it can be used in conjunction with any GCSE mathematics specification, particularly those offered by AQA. It therefore offers opportunities for students to work alongside those following a GCSE course in Mathematics.

These worksheets may be used as practice material for the outcomes detailed in the specification or you may prefer to produce your own.

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Practice

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6 Version 1.0

Component 1 Properties of number

Outcome 1.1 Count reliably up to 20 items

Name Date achieved

1 Count how many ducks.

Answer _________________ ducks

2 How many balloons are there?

Answer _________________ balloons

Practice

ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 1 - PROPERTIES OF NUMBER

Version 1.0 7

3 How many apples are there?

Answer _________________ apples

4 Draw some more arrows so there are 8 arrows altogether.

Practice

8 Version 1.0

5 Danny has 6 pencils in his pencil case.

Draw the pencils in the case.

6 Draw 12 tennis balls below.

Practice


Version 1.0 9

7 Draw some more triangles so there are 9 triangles altogether.

8 Draw some more squares so there are 10 squares altogether.

Practice

10 Version 1.0

Outcome 1.2 Read, write, order and compare numbers up to 20, including zero

Name Date achieved

1 Draw a circle round the smallest number in each box below.

3 4 9 7 8 5

7 1 0 2 6 3

2 Write the numbers below in words.

3 ___________________________

9 ___________________________

12 ___________________________

16 ___________________________

3 Write these words as numbers.

one _________________________

eighteen _________________________

nine _________________________ zero

_________________________

Practice


Version 1.0 11

4 Write these numbers in order.

Start with the smallest.

15 7 18 12 1

_________ _________ _________ _________ _________


Start with the largest.

13 17 10 15 20

_________ _________ _________ _________ _________

6 Use lines to join the words to their matching numbers, the first one has been done for you.

Words Digits

Zero 17

Five 0

Nine 9

Twelve 16

Seventeen 12

Sixteen 5

Practice

12 Version 1.0

Outcome 1.3 Complete a number line up to 20

Name Date achieved

1 Look at the number lines.

Fill in the missing numbers. (a)

(b)

(c)

(d)

(e)

(f)

10 _________ 12 13 _________ 15 16 17 18

9 10 _________ 12 _________ 14 15 16 17

7 8 9 _________ 11 _________ 13 14 15

0 1 2 _________ 4 _________ 6 7 8

11 _________ 13 14 _________ 16 17 18 19

0 1 2 _________ 4 _________ 6 7 8

Practice


Version 1.0 13

(g)

(h)

(i)

_________ 13 _________ 15 16 17 18 19 20

14 13 _________ 11 _________ 9 8 7 6

10 9 _________ 7 _________ 5 4 3 2

Practice

14 Version 1.0

Outcome 2.1 Read, write, order and compare numbers up to 100

Name Date achieved

1 Use lines to join the words to their matching numbers, the first one has been done for you.

Words Digits

Twenty 99

Fifty five 43

Seventy 20

Eighty four 70

Forty three 55

Ninety nine 84



48 84 20 19 39 95

_________ _________ _________ _________ _________ _________

Practice


Version 1.0 15

3 Write the following in words:

(a) 65 _________________________________________________________

(b) 49 _________________________________________________________

(c) 84 _________________________________________________________

4 Write the following as numbers:

(a) Thirty seven _________________

(b) Eighteen _________________

(c) Eighty one _________________

5 Fill in the missing numbers on the cards.

Any number that is more than 20 but less than 30

____________

Any number that is larger than 50 but less than 70

____________

Any number that is more than 80 but less than 95

____________

Practice

16 Version 1.0

6 Four students were asked to guess the number of mables in a jar.

Robin Alex Miriam Liz

64 72 80 85

(a) Who made the smallest guess?

_________________________________________________________

(b) The actual number of marbles in the jar is 90.

Whose guess was the closest?

_________________________________________________________ 7 Write the following set of numbers in order, smallest to largest.

34 56 85 92 75 46

Practice


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8 Write the following set of numbers in order, largest to smallest.

21 45 91 86 55 74

Practice

18 Version 1.0

Outcome 2.2 Recognise place value in two-digit numbers

Name Date achieved

1 Shade in all of the numbers that have a 3 in the units column.

15 16 17 18 19 20 21 22

23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38

39 40 41 42 43 44 45 46

47 48 49 50 51 52 53 54

2 Shade in all of the numbers that have a 5 in the tens column.

15 16 17 18 19 20 21 22

23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38

39 40 41 42 43 44 45 46

47 48 49 50 51 52 53 54

Practice


Version 1.0 19

3 Write down the value of the digit underlined. The first one is done for you.

(a) 62 2 units

(b) 43 _________________

(c) 75 _________________

(d) 83 _________________

4 Write the following as figures:

(a) Two tens and five units _________________

(b) Nine tens _________________

(c) Four units and seven tens _________________

Practice

20 Version 1.0

Outcome 2.3 Count from 0 in steps of 2, 3 and 5

Name Date achieved

1 Counting in steps of 2 makes the number pattern 2, 4, 6, 8, …..

Shade in the rest of the numbers in this pattern.

1 2 3 4 5 6 7 8

9 10 11 12 13 14 15 16

17 18 19 20 21 22 23 24

25 26 27 28 29 30 31 32

33 34 35 36 37 38 39 40



1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

Practice


Version 1.0 21



1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

4 Fill in the missing numbers in these patterns.

(a) 30 32 _________ 36 _________ 40

(b) 56 _________ 62 65 _________ 71

5 Fill in the missing numbers in these patterns.

(a) 90 88 _________ 84 82 _________

(b) 70 65 _________ 55 50 _________

Practice

22 Version 1.0

Outcome 2.4 Round numbers less than 100 to the nearest 10

Name Date achieved

1 Look at the numbers below.

Circle all of the numbers that are closer to 50 than 60


Circle all of the numbers that would round to 80 if you were rounding to the nearest 10 3 Round each of the following numbers to the nearest 10

(a) 84 __________ (b) 22 __________

(d) 76 __________ (c) 36

__________

(e) 43 __________ (f) 91

__________

52

51

54

53

56

55

58

57 59

78

77

80

79

82

81

84

83 85

86

Practice


Version 1.0 23

4 Each of the following numbers are rounded to the nearest 10.

Join the numbers to their answers.

The first one has been done for you.

Number Rounded to the nearest 10

24 80

78 20

94 50

25 90

84 30

47 80

Practice

24 Version 1.0

Outcome 2.5 Understand and identify odd and even numbers

Name Date achieved


Circle all of the odd numbers.


Circle all of the even numbers.

3 Write down an odd number between 60 and 70 _______________

4 Write down an even number between 71 and 81 _______________

3

2

1

6

5

4

9

8

7

12

11

10

15

14

13

18

17

16

21

20

19

11

10

9

14

13

12

17

16

15

20

19

18

23

22

21

26

25

24

29

28

27

Practice


Version 1.0 25

5 What is the next even number after 58? _______________

6 What is the next odd number after 91? _______________

7 What is the next even number after 28? _______________

8 What is the next odd number after 35? _______________

9 Sidrah says,

‘There are 11 odd numbers between 0 and 20’

Is she correct?

Show how you decide.

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

Practice

26 Version 1.0

Outcome 3.1 Read and write numbers up to 1000

Name Date achieved

1 Look at the grid.

Shade in the following numbers

(a) Four hundred

(b) Eight hundred and sixty

(c) Two hundred and two

(d) Five hundred and twenty six

2 Write the following numbers in words.

(a) 500 _________________________________________________________

(b) 470 _________________________________________________________

(c) 871 _________________________________________________________

815 800 240 202

224 400 560 60

526 440 501 430

806 860 40 550

Practice


Version 1.0 27

2 Write the following numbers in figures:

(a) Six hundred _________________

(b) Seven hundred and seven _________________

(c) Six hundred and nine _________________

(d) Nine hundred and nineteen _________________

(e) Eight hundred and two _________________

(f) Two hundred and four _________________

(g) One hundred and fourteen _________________

Practice

28 Version 1.0

Outcome 3.2 Order and compare numbers up to 1000

Name Date achieved

1 Look at the list of numbers.

802 375 983 830 229 88 777

(b) Which is the largest number? ______________________

(c) Which is the smallest number ______________________ 2 Write these numbers in order.


418 854 260 119 349 985

_________ _________ _________ _________ _________ _________

Practice


Version 1.0 29



186 759 660 606 669 768

_________ _________ _________ _________ _________ _________

4 These numbers are in order starting with the smallest.

206 279 335 _________ 376 510 601

What could the missing number be? ______________________

5 Circle the word needed to make the sentence correct.

(a) 723 is bigger smaller than 698

(b) 967 is bigger smaller than 998

Practice

30 Version 1.0

Outcome 3.3 Recognise place value in 3-digit numbers

Name Date achieved


35 589 865 687 249 57 956 648

(a) Which of the numbers have a 8 in the tens column?

______________________ and ______________________

(b) Which of the numbers have a 9 in the units column?

______________________ and ______________________

(c) Which of the numbers have a 6 in the hundreds column?

______________________ and ______________________

Practice


Version 1.0 31

2 Write down the value of the digit underlined. The first one is done for you.

(a) 985 8 tens or 80

(b) 743 _________________

(c) 557 _________________

(d) 583 _________________

3 Write the following as figures:

(a) Three hundreds and five tens _________________

(b) Nine hundreds, 3 tens and 8 units _________________

(c) Six hundreds and four units _________________

Practice

32 Version 1.0


Name Date achieved


Circle all of the numbers that are closer to 80 than 90


Circle all of the numbers that would round to 560 if you were rounding to the nearest 10 3 Round each of the following numbers to the nearest 10

(a) 474 __________ (b) 672 __________

(d) 973 __________ (c) 456

__________

(e) 813 __________ (f) 291

__________

82

81

84

83

86

85

88

87 89

558

557

560

559

562

561

564

563 565

566

Practice


Version 1.0 33

4 Each of the following numbers are rounded to the nearest 10




344 690

269 340

871 270

543 540

974 870

687 970

Practice

34 Version 1.0


Name Date achieved

1 Look at the grid of numbers.

340 385 445 478 493

513 536 545 553 565

Shade in the numbers that would round to 500 when rounding to the nearest 100

2 Look at the grid of numbers.

745 751 770 809 825

849 852 860 871 882

Shade in the numbers that would round to 800 when rounding to the nearest 100

Practice


Version 1.0 35

3 Each of the following numbers are rounded to the nearest 100




156 700

657 800

596 600

778 200

924 900

259 300

4 Round each of the following numbers to the nearest 100

(a) 514 __________ (b) 692 __________

(d) 877 __________ (c) 585

__________

(e) 892 __________ (f) 362

__________

Practice

36 Version 1.0

Outcome 3.6 Find 10 or 100 more or less than a given number

Name Date achieved

1 Complete the following

(a) 10 more than 58 is _________ (b) 10 more than 452 is _________

(c) 10 less than 617 is _________ (d) 10 less than 301 is _________ 2 Complete the following

(a) 100 more than 867 is _________ (b) 100 more than 589 is _________

(c) 100 less than 217 is _________ (d) 100 less than 348 is _________ 3 Complete the following

(a) _________ is 10 more than 789

(b) _________ is 100 more than 865

(c) _________ is 100 less than 563

Practice


Version 1.0 37

4 Four friends are saving up for a hoilday.

Shaun saved £10 more than Leah

Liz saved £100 more than Miriam

Complete the cards to show how much each person saved.

Leah

£ 442

Miriam

£ 402

Shaun

£ __________

Liz

£ __________

Practice

38 Version 1.0

Outcome 3.7 Recognise and use multiples of 2, 3, 4, 5, 8, 10, 50 and 100

Name Date achieved

1 Shade in the multiples of 3

9 10 11 12 13 14

15 16 17 18 19 20

21 22 23 24 25 26

27 28 29 30 31 32


7 8 9 10 11 12 13

14 15 16 17 18 19 20

21 22 23 24 25 26 27

28 29 30 31 32 33 34


16 17 18 19 20 36 37 38 39 40

21 22 23 24 25 41 42 43 44 45

26 27 28 29 30 46 47 48 49 50

31 32 33 34 35 51 52 53 54 55

Practice


Version 1.0 39


13 26 135 266 309

Which number is a multiple of 5?

_________________


45 50 110 150 201 300 450 550 700

(a) Which of the numbers are mutiples of 100?

_________________ and _________________

(b) Which of the numbers are multiples of 50?

_________________________________________________________________

(c) Which of the numbers is not a multiple of 5?

_________________

Practice

40 Version 1.0

Component 2 The four operations

Outcome 1.1 Add two whole numbers with a total up to 20

Name Date achieved

1 Work out these sums

(a) 7 + 1 = ________ (b) 6 + 0 = ________

(d)

6 + 5 = ________ (c)

8 + 3 = ________

(e)

9 + 7 = ________ (f)

9 + 9 = ________

(g)

15 + 4 = ________ (h)

17 + 3 = ________

(i)

16 + 3 = ________ (j)

11 + 9 = ________

2 Helen has 8 sweets.

Paul has 7 sweets.

How many sweets do they have altogether?

_________________________

3 (a) What is the sum of 5 and 8? ___________________________

(b) What is the sum of 7 and 9? ___________________________

Practice

ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 2 - THE FOUR OPERATIONS

Version 1.0 41

4 Look at the counters.

(a) Which two counters have a total of 14?

(b) Which two counters have a total of 15?

5 Is this statement true or false?

4 + 9 = 10 + 3 Tick your answer.

True False

3 6 8 10 12

Practice

42 Version 1.0

Outcome 1.2 Subract one number up to 20 from another

Name Date achieved

1 Work out these sums

(a) 6 1 = ________ (b) 5 0 = ________

(d)

5 4 = ________ (c)

7 3 = ________

(e)

9 5 = ________ (f)

9 9 = ________.

(g)

15 6 = ________ (h)

17 4 = ________

(i)

18 7 = ________ (j)

11 9 = ________.

2 (a) Subtract 2 from 10 ___________________________

(b) Subtract 4 from 15 ___________________________

3 (a) Work out the difference between 9 and 14 ___________________________

(b) Work out the difference between 12 and 19 ___________________________

Practice


Version 1.0 43

4 I have 10 sweets and I eat 6.

How many have I got left?

___________________________

5 Dan wants to raise £20 for charity.

His sponsored walk raised £14.

How much more does he need to get to £20?

___________________________

6 Aden has £17 and Julie has £9

How much more does Aden have than Julie?

___________________________

Practice

44 Version 1.0

Outcome 1.3 Understand and use the + and signs to solve simple number

problems

Name Date achieved

1 Fill in the missing numbers.

(a) 4 + ________ = 7 (b) 5 + ________ = 10

(c) 9 + ________ = 13 (d) 5 + ________ = 17

(e) ________ + 6 = 9 (f) ________ + 3 = 9

(g) ________ + 8 = 17 (h) ________ + 11 = 19

2 Write the missing signs in the boxes.

Use + or

9 4 = 13

7 8 = 15

12 9 = 3

Practice


Version 1.0 45

3 Put the correct signs in these sums to give the answers shown

(a) 16 ________ 3 = 19 (b) 12 ________ 2 = 14

(c) 11 ________ 4 = 7 (d) 9 ________ 9 = 0

(e) 17 ________ 14 = 3 (f) 14 ________ 6 = 20

Practice

46 Version 1.0

Outcome 2.1 Add whole numbers with a total up to 100

Name Date achieved

1 Work out

(a) 34 + 3 = _________

(b) 53 + 7 = _________

(c) 67 + 7 = _________

(d) 77 + 9 = _________

2 Work out

(a) 30 + 20 = _________

(b) 50 + 30 = _________

(c) 60 + 20 = _________

(d) 70 + 30 = _________

Practice


Version 1.0 47

3 Work out

(a) 5 4 +

(b) 6 2 +

2 6 3 8

(c) 2 5 +

(d) 3 8 +

3 4 3 3

(e) 7 8 +

(f) 6 6 +

2 1 2 7

4 What is the total of 36, 13 and 32?

___________________________

Practice

48 Version 1.0

Outcome 2.2 Subract one number up to 100 from another

Name Date achieved

1 Work out

(a) 26 2 = _________

(b) 42 5 = _________

(c) 56 5 = _________

(d) 67 9 = _________

2 Work out

(a) 30 25 = _________

(b) 60 32 = _________

(c) 70 26 = _________

(d) 80 38 = _________

Practice


Version 1.0 49

3 Work out

(a) 5 7 (b) 5 1

2 5 2 8

(c) 3 5 (d) 3 8

3 2 2 2

(e) 8 9 (f) 8 8

3 3 3 7

4 Work out the difference between 36 and 84

___________________________

Practice

50 Version 1.0

Outcome 2.3 Multiply using single digit whole numbers

Name Date achieved

1 Work out

(a) 2 lots of 2 _____________

(b) 3 lots of 4 _____________

(c) 4 lots of 5 _____________

(d) 9 lots of 7 _____________

2 Work out

(a) 2 × 3 = _________

(b) 2 × 5 = _________

(c) 3 × 5 = _________

(d) 5 × 6 = _________

(e) 8 × 4 = _________

(f) 7 × 5 = _________

Practice


Version 1.0 51


(a) 8 + 8 + 8 = 3 × __________

(b) 6 + 6 + 6 + 6 = 4 × __________ (c) 7 + 7 = __________ × 7 4 Fill in the blank squares.

3 4 6 4 5 2

2 6 8 6 12

3 12 18 3 12 15

4 16 7 35

5 Complete these square tables.

4 7 9 5 3 2

5 4

8 6

3 8

Practice

52 Version 1.0

Outcome 2.4 Use and interpret +, , × and = in real-life situations to

solve problems

Name Date achieved

1 I have 3 packets of sweets.

There are 8 sweets in a packet.

How many sweets have I got altogether?

__________________________ sweets

2 I have 7 pairs of socks.

How many socks have I got altogether?

__________________________ socks

3 A CD case holds 10 CDs.

I have 6 cases full of CDs.

How many CDs have I got altogether?

__________________________ CDs

4 There are 6 eggs in a box.

I have 2 boxes in my fridge.

How many eggs have I got?

__________________________ eggs

5 A film on the internet is 79 minutes long.

So far Alex has watched 53 minutes of the film.

How many minutes does he still have left to watch?

__________________________ minutes

Practice


Version 1.0 53

6 The counters below have a total of 100

What is the value of the blank counter?

__________________ 7 I think of a number and add 5

My answer is less than 10

What could my number have been?

__________________

8 Sharon is planning a BBQ for 27 people.

Burgers can be bought in boxes of 5, 3 or 2.

How can Sharon buy exactly 27 burgers?

__________________ boxes of 5 burgers

__________________ boxes of 3 burgers

__________________ boxes of 2 burgers

10 46

23

Practice

54 Version 1.0

Outcome 2.5 Recall and use multiplication facts for the 2, 5 and 10

multiplication tables

Name Date achieved

1 Shade in the answers in the grid.

(a) 2 × 5 (b) 2 × 3

(c) 2 × 6 (d) 2 × 7

(e) 2 × 9 (f) 2 × 10


(a) 2 × 5 (b) 5 × 3

(c) 4 × 2 (d) 5 × 5

(e) 2 × 9 (f) 3 × 10

8 10 13 18

9 12 25 28

30 17 21 14

19 32 15 6

8 10 13 18

9 12 25 28

20 17 21 14

19 32 15 6

Practice


Version 1.0 55

3 Complete the multiplication grid.

4 5 7 8

2

5

10


(a) 5 × _________ = 15

(b) 10 × _________ = 70

(c) _________ × 4 = 20

(d) _________ × 12 = 24

Practice

56 Version 1.0

Outcome 3.1 Add and subtract using 3 digit numbers

Name Date achieved

1 Work out

(a) 3 3 1 + (b) 2 6 1

+

3 1 7 3 2 5

(c) 6 3 5 + (d) 7 2 8

+

3 2 5 2 2 2

2 Work out

(a) 3 5 7 (b) 4 2 9

1 2 5 3 2 8

(c) 4 3 5 (d) 4 3 8

1 3 6 2 2 9

3 400 take away 175

____________

Practice


Version 1.0 57

4 What is the difference between 109 and 237

______________

5 Work out the answers to:

(a) 312 + 462 = ____________

(b)105 + 214 = ____________

(c)

205 + 577 = ____________ (d)

560 + 273 = ____________

(e)

178 + 753 = ____________ (f)

674 + 189 = ____________

(g)

256 130 = ____________ (h)

864 353 = ____________

(i)

890 437 = ____________ (j)

702 161 = ____________

(k)

523 347 = ____________ (l)

700 169 = ____________

(m) Add 653 to 152

____________

(n) From 925 take 208

____________

Practice

58 Version 1.0

Outcome 3.2 Multiply a two digit whole number by a single digit whole number

Name Date achieved

Fill in the spaces in these sums:

Use the space for any working out. 1

20 × 3 = ____________ 2

40 × 7 = ____________

3

2 × 34 = ____________ 4

42 × 5 = ____________

5

31 × 9 = ____________ 6

24 × 8 = ____________

Practice

ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 2 THE FOUR OPERATIONS

Version 1.0 59

7 A case holds 10 DVDs.

I have 6 cases full of DVDs.

How many DVDs have I got altogether?

___________________________ DVDs

8 There are 12 pencils in a box.

How many pencils are in 9 boxes?

___________________________ pencils


How many eggs are in 18 boxes?

___________________________ eggs

10 A bus holds 48 passengers.

How many passengers are on 3 buses?

___________________________ passengers

11 I have 16 pairs of socks.

How many socks have I got altogether?

___________________________ socks

Practice

60 Version 1.0

Outcome 3.3 Divide a two digit whole number by a single digit whole number

Name Date achieved

1 Work out (a)

24 ÷ 4 = ____________ (b)

40 ÷ 5 = ____________

(c)

21 ÷ 7 = ____________ (d)

27 ÷ 3 = ____________ (e)

54 ÷ 3 = ____________ (f)

72 ÷ 6 = ____________

2 Fill in the missing numbers

(a) _________ ÷ 4 = 12

(b) _________ ÷ 3 = 21

(c) _________ ÷ 3 = 12

(d) _________ ÷ 5 = 15

3 A box of 35 pens is shared out equally between 7 teachers.

How many pens will each teacher have?

____________ pens

Practice


Version 1.0 61

4 What is the remainder when 38 is divided by 6?

____________

5 Stamps are sold in books of 6

Adam needs 16 stamps.

(a) How many books will he need to buy? ____________ books

(b) How many spare stamps will he have left? ____________ stamps

Practice

62 Version 1.0

Outcome 3.4 Use and interpret +, , ×, ÷ and = in real-life situations to

solve problems

Name Date achieved

1 I think of a number and add 5

My answer is less than 10

What could my number have been?

_________________

2 Carl has 5 packets of football stickers.

In each packet there are 6 stickers.

How many football stickers does Carl have altogether?

_________________ football stickers

3 Danny has 24 marbles.

He gives 8 of them to Lee.

He buys 12 more marbles.

How many marbles does Danny have now?

_________________. marbles

4 24 people are on a bus.

At the bus stop 12 people get off and 7 get on.

How many people are on the bus now?

_________________

Practice


Version 1.0 63

5 At the start of the day there are 652 books in the library.

During the day 212 books are returned and 325 are taken out.

How many books are in the library at the end of the day?

______________________________________________________________________

______________________________________________________________________

6 Lauren is trying to raise £1000 for charity.

So far she has raised £578

She raises £198 more doing a sponsored swim.

How much more does she need to reach her target of £1000?

______________________________________________________________________

______________________________________________________________________

7 Connor pays £268 for 20 computer games.

He sells each game for £15

How much profit has he made?

______________________________________________________________________

______________________________________________________________________

Practice

64 Version 1.0

Outcome 3.5 Use inverse operations to find missing numbers

Name Date achieved


(a) _________ + 206 = 777

(b) _________ + 378 = 863

(c) 317 _________ = 123

(d) 522 _________ = 436

2 What number must be added to 196 to get 864?

______________________________________________________________________

______________________________________________________________________


(a) _________ × 6 = 66

(b) 20 × _________ = 240

(d) 36 ÷ _________ = 6

Practice


Version 1.0 65

4 The difference between two numbers is 148

If the smaller of the two numbers is 342 what is the other number?

______________________________________________________________________

______________________________________________________________________


(a) 465 + _________ 240 = 475

(b) 589 + _________ 362 = 546

(c) 765 _________ + 120 = 465

(d) 485 _________ + 236 = 587

Practice

66 Version 1.0

Outcome 3.6 Estimate the answer to a calculation

Name Date achieved

These questions are about estimating answers.

1 For each problem circle the best estimate for the answer.

(a) 33 + 29 40 60 80

(b) 72 21 20 40 50

(c) 103 - 79 40 30 20

(d) 204 62 120 130 140

2 If you spend 43 p using £ 1, would you have about 60 p, 20 p or 70 p left?

____________________

3 What is the best estimate to 59 p + 38 p + 98 p

Tick your answer.

£1 £2 £3

Practice


Version 1.0 67

4 If you buy 2 DVDs for £ 7.99, would you spend about

Tick your answer

£14 £16 £18

5 You have £ 20 and spend £ 2.10 in one shop and £ 3.70 in another shop.

Put a circle around the best estimate for the amount you have left.

£ 14 £ 15 £ 16

6 Put a circle around the best estimate 133 109

30 20 10

7 Which of these sums gives an estimate of 150?

Circle your answer.

162 32 198 46 183 18

8 I have three £ 20 notes and spend £ 8.99

Would I have about £ 10, £ 30 or £ 50 left?

____________________

Practice

68 Version 1.0

Outcome 3.7 Recall and use multiplication facts for the 3, 4 and 8 multiplication tables

Name Date achieved


(a) 8 × 2 (b) 3 × 6 (c) 4 × 5 (d) 4 × 7 (e) 3 × 8 (f) 4 × 10 2 Shade in the answers in the grid.

(a) 4 × 6 (b) 5 × 8 (c) 3 × 5 (d) 8 × 4 (e) 2 × 4 (f) 3 × 10

40 10 36 18

16 12 24 28

30 17 21 13

19 32 15 8

16 10 13 18

22 12 25 24

20 17 28 14

36 32 21 40

Practice


Version 1.0 69

3 Complete the multiplication grid.

6 7 8 9

3

4

8


(a) 8 × _________ = 48

(b) 10 × _________ = 40

(c) _________ × 4 = 32

(d) _________ × 4 = 28

Practice

70 Version 1.0

Component 3 Ratio

Outcome 1.1 Understand equality

Name Date achieved

1 Tick the statements that are correct.

(a) 6 + 1 = 2 + 5 (b) 5 + 3 = 4 + 2

(c) 7 5 = 9 8 (d) 8 4 = 9 5

(e) 8 3 = 2 + 3 (f) 7 3 = 2 + 3


(a) 4 + ________ = 7 + 2 (b) 5 + 6 = ________ + 10

(c) 6 + ________ = 9 + 2 (d) 9 + 4 = ________ + 6


(a) 10 ________ = 9 2 (b) 9 4 = ________ 6

(c) 19 ________ = 17 2 (d) 15 6 = ________ 8

Practice

ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 3 - RATIO

Version 1.0 71


(a) 11 + 3 = 7 + 2 + ________

(b) 18 + 2 = 8 + 2 + ________

(c) 19 2 = 9 + 2 + ________

Practice

72 Version 1.0

Outcome 1.2 Identify or show one half of a quantity up to 20

Name Date achieved

1 Circle the shapes that have one half shaded.

2 Shade in half of each shape.

3 Look at the counters below.

Shaun says, ‘Half of the counters are red.’

Is he correct? Show how you decide.

______________________________________________________________________

______________________________________________________________________

______________________________________________________________________

Practice


Version 1.0 73

4 Draw a ring around half the shapes in these boxes.

(a)

(b)

5 Look at the stars.

Tick the correct statement.

Half of the stars are black

Half of the stars have stripes

Practice

74 Version 1.0

Outcome 1.3 Work out half of an even number up to 20

Name Date achieved

1 Work out the following.

(a) Half of 6 = __________

(b) Half of 8 = __________

(c) Half of 10 = __________

(d) Half of 18 = __________

(e) Half of 16 = __________

2 Work out the following.

(a)

21 of 4 = __________

(b) 21 of 14 = __________

(c) 21 of 20 = __________

(d) 21 of 12 = __________

Practice


Version 1.0 75

3 Katie has 16 doughnuts.

She sells half of them.

How many doughnuts does Katie sell?

______________________________________________________________________

______________________________________________________________________

4 Rick has 14 football cards.

He gives half of them to Robin.

How many football cards does Rick have left?

______________________________________________________________________

______________________________________________________________________

5 Matt thinks of a number.

Half of his number is 9

What number was he thinking of?

______________________________________________________________________

______________________________________________________________________

Practice

76 Version 1.0

Outcome 2.1 Identify or show one third or one quarter of a quantity up to 24

Name Date achieved

1 Shade in one third of each shape.

2 Shade in one quarter of each shape.

3 Look at the counters below.

Circle the correct word.

One third / A quarter of the counters are red.

4 Colour one quarter of the hearts.

Practice


Version 1.0 77

5 Circle one third of the fish.

6 What fraction of the apples are not red?

____________________________________________________________________

Practice

78 Version 1.0

Outcome 2.2 Work out one third or one quarter of a number up to 24

Name Date achieved

1 Work out

(a) One third of 9 = _________

(b) One third of 18 = _________

(c) One quarter of 12 = _________

(d) One quarter of 20 = _________

2 Work out

(a)

31 of 6 = _________

(b) 31 of 15 = _________

(c) 41 of 24 = _________

(d) 41 of 40 = _________

Practice


Version 1.0 79

3 Gareth has 9 sweets.

He gives one third of them to Paul.

How many sweets does he give Paul? ___________________________

4 Daisy has 20 cakes.

She sells one quarter of them.

How many cakes does she sell? ___________________________

5 Molly has 12 stamps.

She uses one third of them.

How many stamps does she use? ___________________________

Practice

80 Version 1.0

Outcome 2.3 Count in fractions of one half or one third or one quarter

Name Date achieved

1 Look at the patterns below.

Draw the next picture.

(a)

(b)

(c)

Practice


Version 1.0 81

2 Work out the next number in each pattern.

(a) 121 2 2

21 3 _________

(b) 3

43 4 4

41 4

21

_________

3 Fill in the missing number in each pattern

(a) 541

_________ 543

_________

(b) 2

31 2

32 3 3

31

_________

Practice

82 Version 1.0

Outcome 2.4 Work out amounts of 2, 3 or 4 times the size of a given amount

Name Date achieved

1 Complete the table to show the double of each number.


Double the number

4 8

8

12

35

47

2 Emma raised £22 for charity.

Claire raised twice as much.

How much did Claire raise?

__________________________

Practice


Version 1.0 83

3 Harry has 6 computer games.

(a) Andy has three times as many as Harry.

How many computer games does Andy have?

__________________________

(b) Wendy has four times as many as Harry.

How many computer games does Wendy have?

__________________________


(a) £32 is _________ times as much as £16

(b)

£20 is _________ times as much as £5

(c)

£48 is _________ times as much as £12

Practice

Version 1.0

Outcome 2.5 Recognise the equivalence of 21 and

42

Name Date achieved

1 Look at the shapes

(a) Shade in 21 of each shape.

(b) Shade in 42 of each shape.

Practice


Version 1.0 85

2 Decide which of the following are true / false.

Tick the correct box.

(a) One half of this shape is shaded True False

(b) One half of this shape is shaded True False

3 Fill in the missing number.

42

21

Practice

86 Version 1.0

Outcome 3.1 Identify or show unit fractions up to one tenth of a quantity

up to 100

Name Date achieved

1 Shade in

(a) One eighth

(b) One fifth

(c) One tenth

2 Look at the counters


One sixth / One fifth of the counters are shaded.

3 Look at cards


One fifth / One tenth of the cards are patterned.

Practice


Version 1.0 87

4 Colour in one eighth of the tiles

5 What fraction of the cards are shaded?

__________________________________

6 What fraction of the cats are black?

__________________________________

Practice

88 Version 1.0

Outcome 3.2 Work out unit fractions to one tenth of a number up to 100

Name Date achieved

1 Work out

(a) One fifth of 50 = __________________________________

(b) One eight of 72 = __________________________________

(c) One ninth of 36 = __________________________________

(d) One tenth of 100 = __________________________________

2 Work out

(a) 51 of 40 = __________________________________

(b) 101 of 80 = __________________________________

(c) 61 of 54 = __________________________________

(d) 81 of 56 = __________________________________

Practice


Version 1.0 89

3 Jenny has a pack of 36 Christmas cards.

She sends one third of them to friends.

How many Christmas cards does she send?

___________________________ Christmas cards

4 Tim has 60 raffle tickets.

He sells one tenth of them.

How many raffle tickets does he sell?

___________________________ raffle tickets


One sixth of them are brown and the rest are white.

How many eggs are brown?

___________________________ brown eggs

Practice

90 Version 1.0

Outcome 3.3 Identify or show any number of thirds, quarters, fifths or tenths

of a quantity

Name Date achieved

1 Shade in

(a) four tenths

(b) two fifths

(c) One third

2 Shade in two quarters of the counters.

3 Shade in two thirds of the tiles.

Practice


Version 1.0 91

4 What fraction of the cards are shaded?

__________________________________

5 What fraction of the hens are black?

__________________________________

Practice

92 Version 1.0

Outcome 3.4 Work out any number of thirds, quarters, fifths and tenths of

an amount

Name Date achieved

1 Work out

(a) One fifth of 45 = __________________________________

(b) Seven tenths of 70 = __________________________________

(c) Two thirds of 60 = __________________________________

(d) Three quarters of 36 = __________________________________

2 Work out

(a) 53 of 40 = __________________________________

(b) 108 of 80 = __________________________________

(c) 32 of 36 = __________________________________

(d) 42 of 72 = __________________________________

Practice


Version 1.0 93

3 Jorel has £90.

He spends two thirds of his money.

How much does Jorel spend?

£ _______________________

4 Emma has 60 badges.

She gives two fifths of them away.

How many badges does she give away?

_______________________ badges

Practice

94 Version 1.0

Outcome 3.5 Recognise and identify equivalent fractions

Name Date achieved

1 Circle the fractions that are equivalent to 21

126

62

84

93

85


53

62

93

97

84


62

82

123

124

145

4 Fill in the missing numbers to make the fractions equivalent.

(a) 62

= 12

(b) 84

= 2

(c) 32

= 12

(d) 41

= 20

(e) 31

= 15

(f) 21

= 10

Practice


Version 1.0 95

5 Fill in the missing numbers to make the fractions equivalent.

(a) 21

= 6

(b) 21

= 2

(c) 31

= 4

(d) 41

= 4

(e) 31

= 3

(f) 41

= 6

Practice

96 Version 1.0

Outcome 3.6 Add and subtract fractions with the same denominator within

one whole

Name Date achieved

1 Work out

(a) 61

+ 62

= 6

(b) 31

+ 32

= 3

(c) 51

+ 53

= 5

(d) 82

+ 83

= 8

(e) 64

+ 61

= 6

(f) 128

+ 123

= 12

2 Work out

(a) 65

62

= 6

(b) 32

31

= 3

(c) 54

53

= 5

(d) 86

83

= 8

(e) 63

61

= 6

(f) 128

124

= 12

Practice


Version 1.0 97

3 Work out

(a) 74

+ 72

= 7

(b) 72

73

= 7

(c) 52

51

= 5

(d) 87

83

= 8

(e) 107

+ 62

= 10

(f) 129

124

= 12

Practice

98 Version 1.0

Outcome 3.7 Work out amounts 5, 8 or 10 times the size of a given amount

Name Date achieved

1 Work out 5 times the following amounts

(a) 5 ______________________

(b) 8 ______________________

(c) 12 ______________________

(d) 30 ______________________


(a) 6 ______________________

(b) 26 ______________________

(c) 32 ______________________

(d) 56 ______________________

Practice


Version 1.0 99


(a) 5 ______________________

(b) 22 ______________________

(c) 31 ______________________

(d) 42 ______________________ 4 Mike sends 20 texts.

His friend Tony sends five times as many texts.

How many texts does Tony send?

_______________________ texts

5 Claire raises £52 in a sponsored run.

Liz raises ten times as much as Claire.

How much does Liz raise?

£ _______________________

Practice

100 Version 1.0

Component 4 Money

Outcome 1.1 Recognise coins and notes up to £20

Name Date achieved

1 Match the coins to their correct value.


£2

20p

1p

10p

2p

50p

5p

£1

Practice

ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 4 - MONEY

Version 1.0 101

2 Match the notes to their correct value.

£20

£10

£5

Practice

102 Version 1.0

Outcome 1.2 Exchange money up to 20p for an equivalent amount in other

denominations

Name Date achieved

1 Shade in the coins needed to make the total shown.

(a)

3p

(b)

5p

(c)

9p

(d)

7p

(e)

10p

(f)

8p

(g)

6p

Practice


Version 1.0 103

2 You have lots of each of these coins.

Show how to make the following amounts in 2 different ways.

(a) 5 p = _________________________ or _________________________

(b) 8 p = _________________________ or _________________________

(c) 15 p = _________________________ or _________________________

(d) 18 p = _________________________ or _________________________

(e) 20 p = _________________________ or _________________________

Practice

104 Version 1.0

Outcome 1.3 Add up to 20 coins

Name Date achieved

1 Work out the total of the following lists of coins.

(a)

__________________________________________________________________ (b)

__________________________________________________________________ (c)

__________________________________________________________________ (d)

__________________________________________________________________

Practice


Version 1.0 105

2 Jane has these coins in her purse.

How much money does she have?

_________________

3 Abdul has these coins in his pocket.

What is the total value of his money?

_________________

4 Naz has these coins.

What is the total value of her money?

_________________

Practice

106 Version 1.0

Outcome 2.1 Appreciate the purchasing power of an amount of money (coins)

Name Date achieved

1 For each statement decide whether it is true or false.

Circle your answer.

(a)

is enough to buy a computer game True False

(b)

is enough to buy a music DVD True False

(c)

is enough to buy a laptop True False

(d)

is enough to buy a plasma television True False

(e)

is enough to buy a new motorbike True False

(f)

is enough to buy a packet of crisps True False

Practice


Version 1.0 107

2 I have a £2 coins, two 10p coins and two 5p coins, do I have enough to buy a banana?

_________________

3 If had a £1 coin, four 50p coins and a 20p coin, would I have enough to buy a new bike?

_________________ 4 I have a £5 coin, two 50p coins and ten 20p coins, do I have enough to buy a small car?

_________________

Practice

108 Version 1.0

Outcome 2.2 Convert pence to pounds and vice versa

Name Date achieved

1 Change these pounds into pence. For example £ 1.24 is 124p

(a) £2.00 = _________________ p (b) £2.50 = _________________ p

(c) £1.40 = _________________ p (d) £3.60 = _________________ p

(e) £4.75 = _________________ p (f) £5.42 = _________________ p

(g) £0.10 = _________________ p (h) £0.02 = _________________ p 2 Change these pence into pounds and pence For example 124 p is £ 1.24

(a) 100 p = £ _________________ (b) 500 p = £ _________________

(c) 210 p = £ _________________ (d) 302 = £ _________________

(e) 8 p = £ _________________ (f) 5 p = £ _________________

(g) 600 p = £ _________________ (h) 1219 p = £ _________________ 3

How many pence is £ 2.50? _________________

Practice


Version 1.0 109

4 How many pence is £ 8.40? _________________

5 Write 423 p in £ and pence. _________________ 6 Write 670 p in £ and pence. _________________

Practice

110 Version 1.0

Outcome 2.3 Make amounts of money up to £2 from given coins

Name Date achieved

1 Shade in the coins to give the total given.

(a) £1.52

(b) £1.21

(c) £1.67

Practice


Version 1.0 111

2 Use 50 p, 20 p, 10 p and 5 p coins to show 3 different ways to make 60 p.

(a) __________________________________________________________________

(b)

__________________________________________________________________

(c)

__________________________________________________________________ 3 Use 20 p, 10 p, 5 p and 2 p coins to show 3 different ways to make 74 p.

(a) __________________________________________________________________

(b)

__________________________________________________________________

(c)

__________________________________________________________________ 4 Show how you can make £1.25 using only 20 p, 10 p, 2 p and 1p coins.

__________________________________________________________________

5 Show how you can make £1.95 using only 50p, 10p and 5p coins.

__________________________________________________________________

Practice

112 Version 1.0

Outcome 2.4 Make amounts of money in multiples of £5 from £5, £10 and £20 notes

Name Date achieved

1 Circle the notes you would need to make £55

2 Show 2 different ways of making £115 using £20, £10, and £5 notes.

_____________________________________________________________________

_____________________________________________________________________ 3 Show 3 different ways of making £120 using £20, £10 and £5 notes.

______________________________________________________________________

______________________________________________________________________

______________________________________________________________________

Practice


Version 1.0 113

4 How can you make £30 using notes?

_____________________________________________________________________


_____________________________________________________________________


_____________________________________________________________________


_____________________________________________________________________

Practice

114 Version 1.0

Outcome 2.5 Calculate with amounts of money in pence up to £1 and whole

pounds up to £100 and give change.

1 Look at the items below:

Pen Eraser Pencil Ruler Pencil sharpener

34p 12p 22p 55p 45p

Complete the table below.

Total cost Change from £1

Pen and pencil ________________ ________________

Pencil and eraser ________________ ________________

Ruler and pencil sharpener ________________ ________________

2 pens and a pencil ________________ ________________

Ruler and pen ________________ ________________

Practice


Version 1.0 115

2 Danny, Carl and Lisa go to the zoo.

Carl buys tickets for all of them.

(a) How much does he pay?

£ ___________________

(b) How much change will he get if he pays with a £20 note?

£ ___________________

3 Look at these items.

(a) Calculate the cost of the items.

£ ___________________

(b) How much change would you get from a £50 note

£ ___________________

TICKETS £6.00

£ 9.00 £ 22.00 £ 17.00

Practice

1

116 Version 1.0

Outcome 3.1 Appreciate the purchasing power of amounts of money (notes)

Name Date achieved

1 For each statement decide whether it is true or false.

Circle your answer.

(a)

is enough to buy a cinema ticket True False

(b)

is enough to pay for a holiday abroad True False

(c)

is enough to buy a magzine True False

(d)

is enough to buy a bottle of milk True False

(e)

is enough to buy a house True False

Practice


Version 1.0 117

2 I have a £5, do I have enough to buy an orange?

_________________

3 If had a £20 note, two £10 notes and a £5, would I have enough to buy a bunch of flowers?

_________________ 4 I have five £20 notes and two £5 notes, do I have enough to buy a new motorbike?

_________________

Practice

1

118 Version 1.0

Outcome 3.2 Exchange notes for an equivalent value in coins

Name Date achieved

1 Shade in the coins to give the total given.

(a) £10

(b) £15

2 Show 2 different ways of making £12 with coins.

_____________________________________________________________________

_____________________________________________________________________

Practice


Version 1.0 119

3 Show 3 different ways of making £15 using coins.

______________________________________________________________________

______________________________________________________________________

______________________________________________________________________ 4 George needs to put exactly £15 into a parking machine to pay for a ticket.

So far he has put the following coins into the machine.

List the extra coins he could use to bring the total to £15.

______________________________________________________________________

______________________________________________________________________

Practice

120 Version 1.0

Outcome 3.3 Use decimal notation for money

Name Date achieved

1 Look at the list below.

Tick the amounts that are written using the correct decimal notation.

£5.65p £7.37 £11.3 £18.90 £9.05p

2 Write the following amounts of money using the correct notation.

(a) £1.45p _________________ (b) £5.76p _________________

(b) £8.50p _________________

(d) £5.10p _________________ (e) £3.99p _________________

(f) £7.04p _________________ (g) £00.60p _________________

(h) £12.0p _________________ (i) £17.11p _________________

(j) £99.09p _________________

Practice


Version 1.0 121

3 Write the following amounts of money using the correct notation.

(a) £1.4 _________________ (b) £5.7 _________________

(c) £8.5 _________________

(d) £5.1 _________________ (e) £03.99 _________________

(f) £07.4 _________________ (g) £11.6 _________________

(h) £12.0 _________________ (i) £21.5 _________________

(j) £22.9 _________________

Practice

122 Version 1.0

Outcome 3.4 Interpret a calculator display

Name Date achieved

1 Join the calculator display to the money they show.

£0.03

£6.50

£9.96

£0.50

£9.60

6.5

9.6

0.5

0.03

9.96

Practice


Version 1.0 123

2 Write down the money shown on the following calculator displays.

(a)

______________________________________

(b)

______________________________________

(c)

______________________________________

(d)

______________________________________

4.76

49.49

50.50

100.02

Practice

124 Version 1.0

Outcome 3.5 Solve real life problems involving what to buy and how to pay

Name Date achieved

1 Zoe buys 2 DVDs costing £9.99 each.

(a) How much does she spend?

_________________

(b) Circle the notes she could use to pay for the CDs.

2 Eric Saved £5.15 every week for 6 weeks.

(a) How much money has he saved?

_________________

(b) How much more money does he need to by a console game costing £34.99

_________________

Practice


Version 1.0 125

3 Look at these items.

(a) Calculate the cost of the items.

£ _________________

(b) How much change would you get from a £50 note

£ _________________

4 A set of tennis balls costs £3.65

Victoria buys two sets.


£ _________________

(b) She has one £5 note, two £1 coins and one 50p.

How much does she have left?

£ _________________

£ 9.00 £ 15.00 £ 22.00

Practice

126 Version 1.0

Outcome 3.6 Add amounts of money and give change

Name Date achieved

1 Kerry buys two jumpers for £16.50 each


£ _________________

(b) She pays using two £20 notes.

How much change should she get?

£ _________________

2 Natasha has these notes.

Concert tickets are £15.99 each.

Natasha buys three.

How much money does she have left?

£ _________________

Practice


Version 1.0 127

3 Mary buys 2 chocolate bars for 35p each.

(a) What is the total cost?

_________________ p

(b) How much change should she get from a £1 coin?

_________________ p

4 Rory buys three computer games for £29.50 each and a new headset for £58.25

(a) How much does she spend altogeher?

£ _________________

(b) Rory pays with the following notes.

How much change should he get?

£ _________________

Practice

1

128 Version 1.0

Outcome 3.7 Carry out investigations involving money

Name Date achieved

1 Which of the following amounts could you make using exactly four coins?

Circle your answer.

(a) 9 p yes / no

(b)10 p yes / no

(c)

33p yes / no (d)

69 p yes / no

(e)

£1.07 yes / no (f)

£1.29 yes / no

2 Lauren has the following coins.

Circle the totals that she can make

29p 36p £1.07 £1.18 £1.39

3 Sue has 18 coins all of the same value.

She has a total of £9

Which coins does she have?

_____________________________________________________________________

Practice


Version 1.0 129

4 Tim is saving money for his holiday.

So far he has three £20 notes five £5 notes.

His target is to save £100

How much more does he need to save?

_____________________________________________________________________

_____________________________________________________________________

5 Each week Ben earns the following

Mowing the lawn £8.50

Car Washing £5.00

Extra Jobs £3.50

Ben saves all of the money he earns.

How many weeks will it take him to save £119?

_________________ weeks

Practice

130 Version 1.0

Component 5 The calendar and time

Outcome 1.1 Know the days of the week and their order

Name Date achieved

1 Circle the days of the week.

Monday Saturday Spring Friday Winter December

2 Circle the days that make up a weekend.

Friday Saturday Sunday Monday Tuesday Wednesday

3 Which day comes before Thursday?

_____________________________________ 4 Which day comes after Thursday

_____________________________________ 5 Which day comes before Sunday?

_____________________________________ 6 Which day comes after Tuesday?

_____________________________________

Practice

ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 5 – THE CALENDAR AND TIME

Version 1.0 131

7 Complete the list to show the days of the week in order.

Monday

T ___________________________________

Wednesday

T ___________________________________

Friday

S ___________________________________

S ___________________________________

Practice

132 Version 1.0

Outcome 1.2 Read times to the hour or half hour on an analogue clock and

draw the hands on the clock to show these times

Name Date achieved

1 Write down the time shown on these clocks.

(a) (b)

________________________________

________________________________

(c) (d)

_______________________________

________________________________

Practice


Version 1.0 133

2 Draw the hands on the clock faces to show the times.

(a) 03:00 (b) 06:00

(c) 02:30 (d) 11:30

Practice

134 Version 1.0

Outcome 1.3 Order familiar events

Name Date achieved

1 Here are some things that Ann does in a day and the time when she does them.

Bedtime 10.00 pm

Breakfast 8.00 am

Lunchtime 12.30 am

Start of School

9.00 am

Fill in the gaps in the table.

Breakfast ________________

_______________________________ 9.00 am

_______________________________ 12.30 pm

Bedtime ________________

Practice


Version 1.0 135

2 Look at these events.

Lee works from 9 am to 5 pm

(a) Which of these events would Lee do first?

_______________________________________________________________

(b) Which of these events would Lee do next after eating her lunch?

_______________________________________________________________

(c) Which of these events would be next after her afternoon coffee break?

_______________________________________________________________

3 Oliver is making a drink of orange.

Here are the things he needs to do.

A Pour some orange into a glass

B Take the top off the orange

C Get a glass

D Have a drink of the orange

Put the letters in the correct order.


C _______ _______ _______

Leaves work

Afternoon coffee break

Morning break

Eats lunch Cycles to work

Practice

136 Version 1.0

Outcome 2.1 Know the seasons and months and their order

Name Date achieved

1 Which season is missing?

autumn winter spring _______________________

2 Which season comes after winter?

_____________________________________

3 Which season comes before winter?

_____________________________________

4 Which season comes after spring?

_____________________________________

5 Which season comes after summer?

_____________________________________

6 Which month comes before October?

_____________________________________

7 Which month comes before August?

_____________________________________

8 Which month comes after October?

_____________________________________

Practice


Version 1.0 137

9 Jane’s birthday is after September but before December.

What months could Jane’s birthday be in?

_________________________________ or _________________________________

10 Complete the list to show the seasons in order.

Winter

S ___________________________________

S ___________________________________

A ___________________________________

Practice

138 Version 1.0

Outcome 2.2 Know that 1 week = ? days; 1 day =3 hours; 1 hour = ? minutes 1 minute = ? seconds

1 Complete the following.

(a) 1 week = ____________ days (b) 3 weeks = ____________ days

(c) 4 weeks = ____________ days (d) 7 weeks = ____________ days

(e) 7 days = ____________ week (f) 14 days = ____________ weeks


(a) 1 hour = ____________ minutes (b) 3 hours = ____________ minutes

(c) 120 seconds = ________minutes (d) 240 minutes = ____________ hours 3 Complete the following

(a) 1 day = ____________ hours (b) 4 days = ____________ hours

(c) 48 hours = ____________ days (d) 240 hours = ____________ days

Practice


Version 1.0 139


(a) 5 weeks = ____________ days

(b)

72 hours = ____________ days (c)

2 hours = ____________ minutes (d)

5 hours = ____________ minutes

(e) 240 seconds = ____________ minutes

(f) 2 minutes = ____________ seconds

Practice

140 Version 1.0

Outcome 2.3 Read the time displayed on an analogue or 12 hour digital clock

in hours, half hours and quarter hours and draw hands on a

clock or digital display to show these times

Name Date achieved


(a)

(b)

_______________________________ _______________________________


(a) Quarter past nine (b) Half past eleven

Practice


Version 1.0 141

3 Show the times given on the digital watches on the clock faces below.

(a)

(b)

(c)

(d)

6 30

12 45 2 15

1 45

Practice

142 Version 1.0

Outcome 2.4 Read the time to the nearest five minutes on an analogue clock,

draw the hands on a clock to show the time, and read any time

on a digital clock

Name Date achieved


(a) (b)

_______________________________ _______________________________


(a) Five past three (b) Twenty five past four

Practice


Version 1.0 143


(a) 09:35 (b) 11:55

4 Draw the hands on the clockfaces to show the times on the digital watches.

(a)

(b)

14 20 19 35

Practice

Version 1.0

Outcome 2.5 Find the difference between two times given in hours, half hours

and quarter hours

1 Calculate the difference between the two times shown.

(a)

______________________________________________________

(b)

______________________________________________________

Practice


Version 1.0 145

2 Calculate the difference between the 2 times given.

(a) 11:30 to 12:15 _______________ minutes

(b) 01:45 to 02:30 _______________ minutes

(c) 06:45 to 07:30 _______________ minutes

(d) 03:30 to 04:30 _______________ hour

(e) 12:30 to 01:45 _______________ hour _______________ minutes

(f) 06:15 to 08:30 _______________ hours _______________ minutes

Practice

146 Version 1.0

Outcome 3.1 Solve problems involving time

Name Date achieved

1 Alex got on a train at 09.15

His journey lasted 45 minutes.

What time did Alex get off the train?

__________________________

2 A film lasts for 2 hours and 10 minutes.

If it starts at 7.30 pm what time will it finish?

__________________________

3 A pizza takes 35 minutes to cook.

Caroline puts it in the oven at 5.15 pm

What time will it be cooked?

__________________________

4 A concert starts at 7 o’clock.

It will end at half past nine.

How long does the concert last?

__________________________

Practice


Version 1.0 147

5 Ann leaves to go to the airport at 3.00 pm.

The journey takes 90 minutes.

At what time does Ann arrive at the airport?

__________________________

6 Sam is uploading films to his movie player.

He has enough file space left for 2 hours 15 minutes.

Circle a film he could pick.

7 A film on TV lasts 2 hours and 45 minutes.

Howard is going out at 8.30 pm.

If he starts watching the film at 5.15 pm, will he have time to watch all of it?


_____________________________________________________________________

_____________________________________________________________________

Batman Begins 205 minutes

Transformers 140 minutes

Spy Kids 135 minutes

Twilight 130 minutes

Practice

148 Version 1.0

Outcome 3.2 Know number of days in a year or a leap year, number of months

in a year and number of full weeks in a year

Name Date achieved


(a) 12 months = ____________ year (b) 24 months = ____________ years

(c) 3 years = ____________ months (d) 5 years = ____________ months 2 Complete the following

(a) 1 year = ____________ days (b) 2 years = ____________ days

(c) 104 weeks = ____________ years (d) 156 weeks = ____________ years 3 Complete the following

There are ____________ days in a leap year. 4 Dena buys a new car on finance and agrees to pay for it over 60 months.

How many years will it take her to pay for her car?

_________________________

Practice

150 Version 1.0

Outcome 3.3 Use a calendar and write the date correctly (day / month / year)

Name Date achieved

1 Sunday 17th April 2016 can be written as 17/04/16

Complete the following dates.

(a) 20th May 2016 ___________ / ___________ / ___________

(b) 5th December 2016 ___________ / ___________ / ___________

(c) 29th November 2017 ___________ / ___________ / ___________

(d) 2nd February 2018 ___________ / ___________ / ___________

(e) 06/06/16 _______________________________________________________ (f) 22/11/17 _______________________________________________________ (g) 23/01/17 _______________________________________________________ (h) 02/02/20 _______________________________________________________

Practice


Version 1.0 151

2 The calendar for October 2016 is shown below.

OCTOBER 2016

Monday Tuesday Wednesday Thursday Friday Saturday Sunday

1 2

3 4 5 6 7 8 9

10 11 12 13 14 15 16

17 18 19 20 21 22 23

24 25 26 27 28 29 30

31

(a) What was the date of the first Monday in October?

___________ / ___________ / ___________

(b) Zenon goes swimming every Sunday morning in October.

How many times did Zenon go swimming in October?

______________________

(c) Which day of the week was 19/10/16?

______________________________________

(d) Which day of the week was 27/10/16?

______________________________________

Practice

152 Version 1.0

Outcome 3.4 Tell and write the time from an analogue clock, including using

Roman numerals from I to XII

Name Date achieved


(a) (b)

____________________________ _____________________________


(a) Ten to eight (b) Six twenty five

Practice


Version 1.0 153


(a) 02:05 07:55

Practice

154 Version 1.0

Outcome 3.5 Understand and use the 12 hour and 24 hour clock system and

convert from one system to the other

Name Date achieved

1 Write the following as 24 hour times

(a) 9:30 am _________________ (b) 12:30 pm _________________

(c) 2:30 pm _________________ (d) 8:20 pm _________________ `

(e) 4:30 am _________________ (f) 10:10 pm _________________

2 Write the following as 12 hour times (use am or pm)

(a) 18:30 _________________ (b) 10:20 _________________

(c) 11:40 _________________ (d) 05:20 _________________

(e) 22:20 _________________ (f) 00:40 _________________

Practice


Version 1.0 155

3 Circle the correct time for each of the following

(a) Cliff works each evening.

He starts work at 08:00 / 20:00 (b) Juile works in a shop each Saturday morning.

She starts work at 09:15 / 21:15 (c) Barry delivers newspapers before school.

He starts work at 18:30 / 06:30

Practice

156 Version 1.0

Outcome 3.6 Convert between hours, minutes and seconds

Name Date achieved


(a) 1 hour = ___________ minutes

(b) 3 hours = ___________ minutes

(c) 15 minutes = ___________ seconds

(d) 8 minutes = ___________ seconds

(e) 12 minutes = ___________ seconds

(f) 660 seconds = ___________ minutes


(a) 140 seconds = ___________ minutes ___________ seconds

(b) 210 seconds = ___________ minutes ___________ seconds

(c) 300 minutes = ___________ hours ___________ minutes

(d) 430 minutes = ___________ hours ___________ minutes

Practice


Version 1.0 157


(a) 1 hour 15 minutes = ___________ minutes

(b) 2 hours 20 minutes = ___________ minutes

(c) 3 minutes 45 seconds = ___________ seconds

(d) 5 minutes 10 seconds = ___________ seconds

4 It takes Ben 4 minutes 20 seconds to complete a puzzle.

It takes Helen 275 seconds to complete the puzzle.

Who has taken the longest time?

Show how you decided.

____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

Practice

158 Version 1.0

Outcome 3.7 Add up to three lengths of time given in minutes and hours

Name Date achieved

1 Look at the TV listings for Channel 4.

(a) How long do ‘Come Dine with Me’, ‘The Simpsons’ and ‘Hollyoaks’ last altogether?

__________________________________________________________________

(b) How long do ‘Location, location, location’, Peter Kay: Live at the top of the tower’

and ‘24 hours in A & E’ last altogether?

__________________________________________________________________

17:00 Come Dine with Me [R] [S] [HD] 4oD

20:00 Location, location location [R] [S] [HD] 4oD

18:00 The Simpsons [R] [S]

21:00 Peter Kay: Live at the top of the Tower [R] [S] [HD] 4oD

18:30 Hollyoaks [R] [S] [HD] 4oD

22:30 24 hours in A & E [R] [S] [HD] 4oD

19:00 Channel 4 News [S]

23:00 Ramsey’s Hotel Hell [R] [S] [HD] 4oD

Practice


Version 1.0

2 Look at the list of evening classes.

Complete the table to show the total time each person spends attending classes?

Sally James Colin

Dressmaking Cookery Pottery

Computing Woodwork

Computing Pottery

Woodwork

Total time

__________________

Total time

__________________

Total time

__________________

Evening Classes Dressmaking 1 hour Cookery 55 minutes Computing 35 minutes Hairdressing 1 hour 20 minutes Pottery 1 hour 15 minutes Woodwork 40 minutes

160 Version 1.0

Component 6 Measures

Outcome 1.1 Compare lengths, heights, weights and capacities

Name Date achieved

1 Without measuring, can you answer this question?

Look at these arrows. Circle the shortest.

2 Look at the animals shown below.

squirrel Donkey Sparrow Fox

(a) Which animal is the heaviest? ___________________________________

(b) Which animal is the lightest? ___________________________________

Practice

ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 6 – MEASURES

Version 1.0 161

3 Look at the glasses.

A B C

(a) Which glass has the most cola in it? _______________

(b) Which glass has the least cola in it? ________________ 4 Draw a line longer than the line shown below.

Practice

162 Version 1.0

Outcome 1.2 Give the length of a line drawn on a centimetre grid

Name Date achieved

1 Write down the length of each line shown on the centimetre grid.

1 _______________ cm 2 _______________ cm

3 _______________ cm 4 _______________ cm

5 _______________ cm 6 _______________ cm

1

2

3

4

5

6

Practice


Version 1.0 163

2 Write down the length of the lines shown on the centimetre grid below.

A _______________ cm B _______________ cm

C _______________ cm D _______________ cm

A

B

C

D

Practice

164 Version 1.0

Outcome 1.3 Describe capacity in fractions

Name Date achieved

1 Look at the bottles.

A B C

(a) Which bottle is more than half full? _______________

(b) Which bottle is less than half full? ________________

Practice


Version 1.0 165

2 Look at the kettles.

A B C D

Shade in kettle D so that it is more than half full?

Practice

166 Version 1.0

Outcome 2.1 Choose appropriate standard units of length, capacity and

weight

Name Date achieved

1 Choose the correct word from the list to complete the sentences.

millimetres centimetres

kilometres metres

(a) A pencil is 16 _____________________________ long.

(b) A cricket pitch is 20 _____________________________ long.

(c) Birmingham is 130 _____________________________ from Manchester.

(d) An ant is 4 _____________________________ long 2 Choose the correct word from the list to complete the sentences.

grams tonnes

kilograms

(a) A pencil weighs 5 _____________________________

(b) A dog weighs 11 _____________________________

(c) A car weighs 2 _____________________________

Practice


Version 1.0 167

3 Look at the units of measurement shown on the box.

m cm mm km g kg ml cl l

State the unit you would use to measure each of the following.

(a) The length of a pen. _____________

(b) The length of a bus. _____________

(c) The amount of water in a swimming pool. _____________

(d) The capacity of a small carton of juice. _____________

(e) The weight of a cat. _____________

(f) The height of a block of flats. _____________

(g) The length of a spiders leg _____________

(h) The capacity of a small spoon. _____________

(i) The length of a motorway. _____________

Practice

168 Version 1.0

Outcome 2.2 Compare and order lengths, capacities and weights in the same

units

Name Date achieved

1 Write each list of measures in order, starting with the smallest.

(a) 6 mm 17 mm 9 mm 21 mm

________________________________________________________________

(b) 36 g 11 g 75 g 27 g

________________________________________________________________

(c) 20 ml 75 ml 25 ml 7 ml

________________________________________________________________

(d) 30 kg 23 kg 32 kg 2 kg

________________________________________________________________

Practice


Version 1.0 169

2 In each list, circle the largest measure.

(a) 30 cl 3 cl 13 cl 23 cl

(b) 70 cm 77 cm 7 cm 27 cm

(c) 52 g 25 g 55 g 5 g

(d) 40 m 24 m 44 m 54 m

3 In each list, circle the smallest measure.

(a) 60 cm 66 cm 6 cm 67 cm

(b) 50 cl 5 cl 15 cl 25 cl

(c) 70 m 74 m 57 m 64 m

(d) 42 g 44 g 55 g 45 g

Practice

170 Version 1.0

Outcome 2.3 Select a possible length, capacity or weight for a given item

Name Date achieved

1 Tick () the correct measure for each item.

(a) A length of a car.

5 m 5 km

(b) Amount of water in a bottle.

750 ml 7 l

(c) The length of a hand.

17 cm 7 mm

(d) The weight of a tennis ball.

2 kg 58 g

Practice


Version 1.0 171

2 Here is a pound coin.

Tick () the best estimate for its thickness.

3 mm 300 mm 30 cm

3 Here is a litre carton of juice.

Tick () the best estimate for its mass.

2 g 1 kg 500 kg

Practice

172 Version 1.0

Component 2.4 Measure or draw a length using a ruler

Name Date achieved

1 Measure the lines below in cm.

A is __________________ B is __________________

C is __________________ D is __________________

E is __________________ F is __________________

A

B

C

D

E

F

Practice


Version 1.0 173

2 Draw a line 8 cm long in the space below.

3 Draw a line 70 mm long in the space below.

Practice

174 Version 1.0

Outcome 2.5 Estimate the weight, capacaity or length of given items

1 For each pair draw a ring around the heaviest object.

(a)

(b)

(c)

(d)

2 Tick () the animal that weighs the least.

Horse Mouse Cat

Practice


Version 1.0 175

3 The car is 5 metres long.

Estimate the length of the bus.

5 metres .__________________ metres 4 A small bar of chocolate weighs 30g

Estimate the weight of the large chocolate bar.

30 grams __________________ grams

5 Tick the item that would hold the most water.

Practice

1

176 Version 1.0

Outcome 3.1 Add lengths, capacities and weights and compare the total to

another total or requirement

Name Date achieved

1 Add together the following measures.

(a) 400 g + 250 g + 45 g

_____________________________________________________________________

(b) 200 ml + 15 ml + 320 ml

_____________________________________________________________________

2 Dennis is training for a cycle race.

He plans to cycle a total of 300 km per week.

During 1 week he did 3 training sessions.

Session 1 Session 2 Session 3

105 km 95 km 110 km

Has he reached his target of 300 km?


_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

Practice


Version 1.0 177

3 Cal has some books he wants to post.

The total weight of his parcel must be less than 900 g.

Which 3 books can he post?


_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

4 Will has a 1 litre bottle of coke.

Does he have enough to fill all of the glasses?


_____________________________________________________________________

_____________________________________________________________________

_____________________________________________________________________

290 ml 230 ml 420 ml

Gone : 340 g Kings : 190 g Time : 500 g Stars : 2g

Practice

178 Version 1.0

Outcome 3.2 Convert standard units of length, capacity and weight

Name Date achieved

1 Convert the following lengths into the units given.

(a) 4 m = ___________________ cm

(b) 3.6 m = ___________________ cm

(c) 200 cm = ___________________ m

(d) 2.6 m = ___________________ m and ___________________ cm

2 Convert the following capacities into the units given.

(a) 5 litres = ___________________ ml

(b) 1.5 litres = ___________________ ml

(c) 2000 ml = ___________________ litres

(d) 4560 ml = ___________________ litres and ___________________ ml

Practice


Version 1.0 179

3 6.4 cm is the same as 6 cm 4 mm

Complete the following.

(a) 5.6 cm = _____________ cm _____________ mm

(b) 9.2 cm = _____________ cm _____________ mm

(c) 1.5 litres = _____________ litres _____________ ml

(d) 2.4 litres = _____________ litres _____________ ml

(e) 2.2 kg = _____________ kg _____________ g

(f) 8.3 kg = _____________ kg _____________ g

(g) 5400 g = _____________ kg _____________ g

(h) 2500 m = _____________ km _____________ m

(i) 4600 litres = _____________ litres _____________ ml

Practice

180 Version 1.0

Outcome 3.3 Compare and order lengths, capacities and weights in different

standard units

Name Date achieved

1 Write each list of measures in order, starting with the smallest.

(a) 5 cm 6 mm 4 m 9 cm

________________________________________________________________

(b) 300 ml 20 cl 0.5 litres 800 ml

________________________________________________________________

(c) 7 kg 70 g 0.9 kg 600 g

________________________________________________________________

(d) 60 m 600 m 1000 m 1.5 km

________________________________________________________________

(e) 60 g 600 kg 5600 g 1.9 kg

________________________________________________________________

(f) 40 cl 300 ml 4400 ml 4.5 litres

________________________________________________________________

Practice


Version 1.0 181

2 In each list, circle the largest measure.

(a) 30 cl 3 ml 13 cl 23 ml

(b) 70 mm 77 cm 7 m 27 cm

(c) 52 g 25 kg 55 g 5 kg

(d) 40 mm 24 m 44 cm 54 m

3 In each list, circle the smallest measure.

(a) 60 m 66 cm 6 mm 67 m

(b) 50 cl 5 ml 15 litres 25 ml

(c) 7 m 74 km 57 m 6400 m

(d) 42 kg 440 g 55 kg 450 g

Practice

182 Version 1.0

Outcome 3.4 Measure the perimeter of a simple shape

Name Date achieved

1 Measure the perimeter of each of the following squares.

(a) Perimeter = _____________ cm (b) Perimeter = _____________ cm

2 Measure the perimeter of each of the following rectangles.

(a) Perimeter = _____________ cm (b) Perimeter = _____________ cm

Practice


Version 1.0 183

3 Measure the perimeter of the following shape.

Perimeter = _____________ cm 4 Measure the perimeter of the following shape.

Perimeter = _____________ cm

Practice

184 Version 1.0

Outcome 3.5 Choose an appropriate measuring instrument.

Name Date achieved

1 Which of the following would you use to measure the length of a cricket pitch?

Tick () the correct box

2 Which of the following would you use to measure the amount of juice in a glass?

Circle your answer.

3 What would you use to find you weight?

Circle your answer.

Practice


Version 1.0 185

4 Circle the item you would use to measure each of the following.

(a) The length of a football pitch

ruler / trundle wheel

(b) The weight of a banana

kitchen scales / measuring jug

(c) The capacity of a glass

measuring jug / bathroom scales

(d) The weight of a man

kitchen scales / bathroom scales

(e) The length of a desk

trundle wheel / tape measure

(f) The capacity of a coffee mug

measuring jug / kitchen scales

(g) The width of a pound coin

ruler / trundle wheel

Practice

186 Version 1.0

Outcome 3.6 Read values from an appropriate scale

Name Date achieved

1 Write down the weight shown on the kitchen scales.

__________________________ kg

2 Write down the speed shown on the speedometer.

__________________________ mph

Practice


Version 1.0 187

3 Fill in the missing measurements on the scale.

4 Jason weighs his suitcase.

The maximum weight allowed is 25 kg.

Is his suitcase too heavy?


____________________________________________________________________

5 Sally wants to make a banana milkshake.

She needs

340 ml of milk

1 banana

3 ice cubes

Sally pours some milk into a measuing jug.

Sally says,

“I need another 120 ml of milk.”

Is she correct?


____________________________________________________________________

____________________________________________________________________

100

300

500 ml

20kg 30kg 40kg

Weight of suitcase

4.1 4.2 4.3 4.5 4.6 4.7 4.8 4.9 ___________ ___________

Practice

188 Version 1.0

Outcome 3.7 Read and compare temperature including temperature with

negative values

Name Date achieved

1 Write down the temperatures shown on the thermometers.

(a) (b) (c)

2 Work out the temperatures after the rise in temperature.

START temperature

RISE in temperature

FINAL temperature

2°C

4°C

5°C

1°C

5°C

6°C

7°C

4°C

__________°C

__________°C

__________°C

__________°C

Practice


Version 1.0 189

3 In each list, circle the warmest temperature.

(a) 15°C 22°C 5°C 31°C

(b) 5°C 19°C 34°C 25°C

4 In each list, circle the coldest temperature.

(a) 15°C 2°C 35°C 20°C

(b) 12°C 18°C 6°C 0°C

5 Write each list of temperatures in order, starting with the warmest.

(a) 9°C 17°C 22°C 6°C

________________________________________________________________

(b) 3°C 5°C 9°C 0°C

________________________________________________________________

6 Write each list of temperatures in order, starting with the coldest.

(a) 12°C 4°C 2°C 15°C

________________________________________________________________

(b) 0°C 6°C 5°C 7°C

________________________________________________________________

Practice

190 Version 1.0

Component 7 Geometry

Outcome 1.1 Recognise and name squares, rectangles, triangles, circles and

cubes

Name Date achieved

1 Tick () the correct name for this shape.

Circle

Square


Triangle

Rectangle


Cube

Square

Practice

ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 7 – GEOMETRY

Version 1.0 191

4 Colour in all of the circles.

5 Colour in all of the squares.

6 Colour in all of the rectangles.

7 Look at the 3D shapes below.

Shade in the cubes.

Practice

192 Version 1.0

Outcome 1.2 Compare and order a group of shapes or pictures or similar

shapes of different size and recognise congruent shapes

Name Date achieved

1 Look at the shapes below.

Shade the three shapes that are exactly the same shape and size.

2 Look at the shapes and circle the correct word.

(a)

is smaller than / bigger than

(b)

is shorter than / taller than

(c)

is fatter than / thinner than

(d)

is narrower than / thicker than

Practice


Version 1.0 193

3 Look at the shapes.

(a)

Draw a larger rectangle

(b)

Draw a taller arrow

(c)

Draw a wider circle

(d)

Draw a narrower triangle

Practice

194 Version 1.0

Outcome 1.3 Use and understand positional vocabulary

Name Date achieved

1 Look at the shapes below.

Use a word from the box to complete the following sentences.

right left inside outside

(a) The circle is __________________________________ the triangle.

(b) The square is __________________________________ of the triangle.

(c) The rectangle is __________________________________ of the triangle.

(d) The triangle is __________________________________ of the circle.

Practice


Version 1.0 195

2 Draw a circle to the left of the rectangle.

3 Sally hides clues for a treasure hunt.

(a) The first clue is to the left of the tree. Mark this as 1 on the picture.

(b) The second clue is to the right of the post box.

Mark this as 2 on the picture.

(c) The third clue is under the bench.

Mark this as 3 on the picture.

Practice

196 Version 1.0

Outcome 2.1 Recognise and name shapes including pentagons, hexagons and

octagons and identify a right-angled triangle from a set of

triangles

Name Date achieved

1 Tick () the correct name for each shape.

(a)

RECTANGLE PENTAGON HEXAGON OCTAGON

(b)

RECTANGLE PENTAGON HEXAGON TRIANGLE

(c)

RECTANGLE PENTAGON HEXAGON OCTAGON

Practice


Version 1.0 197

2 Shade in all of the right angled triangles.

3 Colour in all of the hexagons.

4 Colour in all of the octogons.

Practice

198 Version 1.0

Outcome 2.2 Recognise and name cuboids, pyramids and spheres

Name Date achieved

1 Tick () the correct name for each shape.

(a) (b)

sphere cuboid pyramid sphere cuboid pyramid

(c) (d)


(e) (f)


Practice


Version 1.0 199

2 Name each of the shapes shown below.

(a) (b)

_____________________________ _____________________________

(c) (d)

_____________________________ _____________________________

(e) (f)

_____________________________ _____________________________

Practice

200 Version 1.0

Outcome 2.3 Describe the properties of 2D shapes, including straight and

curved edges

Name Date achieved

1 Shade in all of the shapes with more than 4 edges.

2 Shade in all of the shapes with a curved edge.

Practice


Version 1.0 201

3 Write down the number of edges and vertices on these shapes.

(a)

____________ edges

____________ vertices

(b)

____________ edges

____________ vertices

(c)

____________ edges

____________vertices

(d)

____________ edges

____________ vertices

(e)

____________ edges

____________ vertices

(f)

____________ edges

____________ vertices

Practice

202 Version 1.0

Outcome 2.4 Describe the properties of solids

Name Date achieved

1 Write down the number of edges, vertices and faces of these shapes.

(a)

____________ edges

____________ vertices

____________ faces

(b)

____________ edges

____________ vertices

____________ faces

(c)

____________ edges

____________ vertices

____________ faces

(d)

____________ edges

____________ vertices

____________ faces

Practice


Version 1.0 203

2 Shade in all of the shapes with a curved edge.

3 Look at the prism.

Tick () the statements that are true.

The prism has 9 edges

The prism has 2 triangular faces

The prism has 8 vertices

The total number of faces is 5

Practice

204

204 Version 1.0

Component 2.5 Understand angle as a measure of turn

Name Date achieved

1 Describe the turn for each of the following.

Put a tick () in the correct box.

(a)

quarter turn

half turn

(b)

quarter turn

half turn

2 Look at the dragonfly.

Circle the picture which shows that the dragonfly has turned through a half turn?

Practice


Version 1.0 205

3 Look at the picture of the car.

A B C (a) Which picture shows the car after a quarter turn?


Picture A Picture B Picture C

(b) Which picture shows the car after half a turn?


Picture A Picture B Picture C

Practice

206 Version 1.0

Outcome 3.1 Recognise and name prisms, cylinders and cones

N Name Date achieved

1 1 Match each shape to its name.


cube

prism

cone

cylinder

pyramid

Practice


Version 1.0 207


A C D

(a) Which shape is a prism? ____________

(b) Which shape is a cone? ____________

(c) Which shape is a cylinder? ____________

3 Name the shapes of the following items.

(a)

__________________________

(b)

__________________________

(c)

__________________________

(d)

__________________________

Practice

208 Version 1.0

Outcome 3.2 Draw lines of symmetry on shapes or pictures

Name Date achieved

1 Draw all lines of symmetry on these shapes.

(a) (b)

(c)

(d)

(e)

(f)

(g)

(h)

Practice


Version 1.0 209

2 Draw all lines of symmetry on these national flags. (a)

(b)

(c)

(d)

3 Draw all lines of symmetry on these road signs. (a)

(b)

(c)

(d)

(e)

(f)

Practice

210 Version 1.0

Outcome 3.3 Recognise and draw nets of cubes and cuboids

Name Date achieved

1 Circle the nets that would fold to make a cube.

Practice


Version 1.0 211

2 Complete this net for a cube.

3 Complete this net for a cubiod.

Practice

212 Version 1.0

Outcome 3.4 Identify whether an angle is less or more than a right-angle

Name Date achieved

1 Look at the angles marked x, y and z.


(a)

smaller than a right angle

equal to a right angle

larger than a right angle

(b)




(c)




x

y

z

x is

y is

z is

Practice


Version 1.0 213

2 Mark all of the right angles inside these shapes.

(a) (b)

3 Tick () the angles that are less than a right angle.

4 Tick () the angles that are more than a right angle.

5 Draw the following angles.

Less than a right angle A right angle More than a right angle

Practice

214 Version 1.0

Outcome 3.5 Identify horizontal, vertical and parallel lines

1 Using the words given in the box, complete the sentences.

parallel horizontal vertical

(a)

This is a ______________________________ line

(b)

This is a ______________________________ line

(c)

These lines are __________________________


On each shape tick the sides that are parallel.

(a) (b)

Practice


Version 1.0 215

3 Look at the hoodies below.

(a) How many hoodies have horizontal stripes? ____________

(b) How many hoodies have vertical stripes? ____________

(c) How many hoodies have parallel stripes? ____________ 4 Look at the patterned tiles below.

(a) How many vertical lines are there? ____________

(b) How many horizontal lines are there? ____________

(c) How many parallel lines are there? ____________

Practice

22

216 Version 1.0

Outcome 3.6 Denote the position of a point on a grid by its coordinates or

identify a point or item given its coordinates

Name Date achieved

1 The grid shows part of a farm.

Write down the coordinates of:

(a) The tractor

(__________, __________)

(b) The bull

(__________, __________)

(c) The horse

(__________, __________)

1 2 3 4 5

5

4

3

2

1

Practice


Version 1.0 217

2 Look at the grid below.

(a) Write down the coordinates of each letter.

A (__________, __________) B (__________, __________)

C (__________, __________) D (__________, __________)

E (__________, __________) F (__________, __________)

(b) Plot the following points on the grid.

1 (__________, __________) 2 (__________, __________)

3 (__________, __________) 4 (__________, __________)

x

y

8 7

6 0

5 4

10 10

B

C

D

E

F

A

Practice

218 Version 1.0

Outcome 3.7 Use North (N), South (S), East (E) and West (W) to give directions

or position from a map

Name Date achieved

1 Look at the plan of a safari park below.

(a) Kerry is at the giraffe area.

Which direction must she travel to get to the elephant area? _____________

(b) Dave is at the lion area.

Which direction must he travel to get to the giraffe area? _____________

(c) Ash is at the zebra area.

Which direction must he travel to get to the monkey area? _____________

N

Practice


Version 1.0 219

2 Using the words in the box below.

Write down the directions the mouse must follow to reach the cheese.


north south east west (a)

_________________

_________________

_________________

_________________

_________________

_________________

_________________

(b)

_________________

_________________

_________________

_________________

_________________

_________________

_________________

north

east

N

N

Practice

220 Version 1.0

Component 8 Statistics

Outcome 1.1 Sort and classify objects using a single criterion

Name Date achieved

1 Look at the mugs.

(a) How may mugs have spots on them? _____________

(b) How many mugs are there altogether? _____________

2 Colour in all of the shapes with curved sides.

Practice

ENTRY LEVEL CERTIFICATE MATHEMATICS - COMPONENT 8 – STATISTICS

Version 1.0 221

3 Look at the letters shown below.

(a) Sort the letters into the correct boxes.

Shaded Letters Unshaded Letters

(b) Which box has most letters? _____________

(c) How many letters are there altogether? _____________

Practice

222 Version 1.0

Outcome 1.2 Interpret and draw conclusions from a list or group of objects

Name Date achieved

1 Zainab asked 12 friends to choose their favourite fruit.

Here are their choices.

(a) How many friends chose banana as their favourite fruit? _______________

(b) How many friends chose orange as their favourite fruit? _______________

(c) How many friends chose apple as their favourite fruit? _______________

2 Teachers were asked the type of transport they used to get to school.

Car Bicycle Train Car Car Bicycle

Bus Bus Car Bus Walk Car

Train Car Bus Bus Car Car

(a) How many teachers were asked? _______________

(b) Which was the most popular type of transport? ______________________________

(c) Which was the least popular type of transport? ______________________________

Practice


Version 1.0 223

3 Alex asked his friends about their favourite drink.

The list shows their choices.

Cola

Lemonade

Orangeade Cola

Cola Limeade

Cola Lemonade

Orangeade

Cola

(a) How many friends did Alex ask? _______________

(b) How many drinks chosen were fruit based? _______________

(c) Which drink was the most popular? _________________________________

(d) Which drink was the least popular? _________________________________

Practice

224 Version 1.0

Outcome 1.3 Constuct and interpret simple line graphs

Name Date achieved

1 20 pupils in class 3 were asked to choose their favourite fairground ride.

Here are their choices.

Fairground ride Waltzer Big Dipper Speedway Dodgems

Number of children 7 6 4 3

Complete the graph to show their choices.

Waltzer Big Dipper Speedway Dodgems

8

7

6

5

4

3

2

1

0

Fairground ride

Number of Children

Practice


Version 1.0 225

2 25 people were asked what type of pet they owned.

Here are their answers.

Type of pet Dog Cat Rabbit Gerbil Snake Mouse

Number of people 9 6 3 4 1 2

Complete the graph to show their answers.

Dog Cat Rabbit Gerbil Snake Mouse

10

9

8

7

6

5

4

3

2

1

0

Type of pet

Number of people

Practice

226 Version 1.0

Outcome 2.1 Sort and classify objects using more than one criterion

Name Date achieved

1 Look at the T-shirts.

(a) How many T-shirts have a star on them?

_______________

(b) How many T-shirts have a star and a stripe on them?

_______________

(c) How many T-shirts are there altogether?

_______________

Practice


Version 1.0 227

2

(a) How many of the houses have a car?

_______________

(b) How many houses with a car also have a tree?

_______________

(c) How many houses with a tree also have a path?

_______________

Practice

228 Version 1.0

Outcome 2.2 Collect information by survey

Name Date achieved

1 Ask at least 10 people their about their favourite fast food.

Circle their answers in the list below.

1 Fish & chips Pizza Burger Indian Chinese Other















Practice


Version 1.0 229

2 Ask at least 6 people their favourite flavour of crisps.

Tick () their answers in the list below.

1 Ready salted Salt and vinegar Cheese and onion Prawn cocktail Beef Other










Practice

230 Version 1.0

Outcome 2.3 Record results in lists, tally charts and tables

Name Date achieved

1 An ice cream van sells 4 different flavours of ice cream.

20 people were asked to name their favourite from these 4 flavours .

Their choices are as follows.

Mint Chocolate Chocolate Strawberry Chocolate

Vanilla Vanilla Vanilla Chocolate Vanilla

Vanilla Mint Strawberry Mint Vanilla

Vanilla Chocolate Chocolate Strawberry Chocolate

Complete tally table to show this information.

Tally

Vanilla

Chocolate

Strawberry

Mint

Practice


Version 1.0

2 6 boys have already answered the following question.

Ask 4 more boys.

Boy 1 Football Tennis Swimming Rugby Cricket










3 Using the data collected record the totals for each sport below:

Football ________ Rugby ________

Tennis ________ Cricket ________

Swimming ________

What is your favourite Sport?

Practice

232 Version 1.0

Outcome 2.4 Construct and interpret pictograms where one picture

represents one item

Name Date achieved

1 An ice cream van sells 4 different flavours of ice cream.

20 people were asked to name their favourite from these 5 flavours .

Use the information in the pictogram to answer the following.

Key: = 1 person

Vanilla

Chocolate

Raspberry Ripple

Mint

(a) How many people chose Raspberry Ripple as their favourite ice cream?

_______________

(b) Which are the 2 most popular flavours of ice cream?

_________________________________________________________________

_________________________________________________________________

Practice


Version 1.0 233

2 Jenny asked her friends to pick their favourite type of TV programme.

Here are there answers.

5 friends chose Soap

2 friends chose Crime

3 friends chose Sport

2 friends chose Quiz

4 friends chose Comedy

(a) Show this information on a pictogram.

Soap

Crime

Sport

Quiz

Comedy

(b) Which was the most popular type of TV programme?

_______________________ (c) Which two types of TV programme were equally popular?

_______________________ and _______________________

(d) How many friends did Jenny ask?

_____________

Key: represents 1 friend.

Practice

234 Version 1.0

Outcome 2.5 Interpret simple tables, diagrams, lists and graphs

Name Date achieved

1 This pictogram shows how many children liked certain shapes.

Circles

Squares

Triangles

Stars

(a) How many children liked triangles? __________________

(b) Which is the favourite shape? _________________________________

(c) Which shape was liked least? _________________________________

(d) How many children were asked? __________________

Practice


Version 1.0 235

2 Here is a table for the number of medals won at an international sports event.

Gold Silver Bronze Total

USA 29 10 14 53

United Kingdom 17 7 11 35

Germany 12 8 20 40

China 16 10 19 45

(a) Which country won the most Bronze medals?

______________________________

(b) Which country won the most Gold medals?

______________________________

(c) Which 2 countries won the same number of Silver medals?

______________________________ and ______________________________

(d) Look at the Total column.

How many more medals did the USA win than the United Kingdom?

_____________________

Practice

236 Version 1.0

Outcome 3.1 Construct and interpret bar charts with the vertical axis scaled in

ones or twos

Name Date achieved

1 This bar chart is about types of transport passing a school in 30 minutes.

(a) How many more cars than vans are there? _______________________________

(b) How many bikes and cars are there? _______________________________

(c) How many buses are there? _______________________________

(d) How many more lorries than bikes are there? _______________________________

Car Van Bike Lorry Bus

16

15

14

13

12

11

10

9

8

7

6

5

4

3

2

1

0

Practice


Version 1.0 237

2 The table below shows the number of coins in a money box.

Coin Frequency

£ 2 3

£ 1 9

50 p 12

20 p 7

Use this information to draw a bar chart. 3 The table below shows the number of pets owned by a class of children.

Pet Frequency

Dog 8

Cat 10

Goldfish 4

Hamster 5

Mouse 2

Use this information to draw a bar chart.

4 The table below shows the type of transport used by teachers to get to school.

Transport type Frequency

Car 15

Bus 7

Train 8

Bicycle 2

Walk 3

Use this information to draw a bar chart.

Practice

238 Version 1.0

Outcome 3.2 Construct and interpret pictograms where one picture

respresents more than one item

Name Date achieved

1 The pictogram shows the number of days it rained from April to August.

April

May

June

July

August

(a) How many days did it rain in May? __________________

(b) How many days did it rain in April? __________________

(c) On which two months did it rain for the same number of days

_______________________________ and _______________________________

Key: represents 2 days.

Practice


Version 1.0 239

2 The table below shows the favourite colours of a class of children.

Colour Frequency

Blue 15

Red 20

Green 10

Yellow 10

Pink 5

Purple 25

Display this data in a pictogram. Use 1 symbol to show 5 of each colour.

3 The table below shows the favourite fruit of pupils from a school.

Fruit Frequency

Apple 24

Orange 20

Banana 16

Pear 18

Grapes 22

Kiwi 10

Peach 8

Display this data in a pictogram. Use 1 symbol to show 4 pieces of fruit.

Practice

240 Version 1.0

Outcome 3.3 Extract numerical information from lists, tables, diagrams and

charts

Name Date achieved

1 Five friends each have a target of swimming 50 km in 5 weeks.

The chart below shows the distance they have swam so far.

10 km 20 km 30 km 40 km 50 km

Karl

Abdul

Jay

Sean

Harry

(a) How far has Karl swam so far? __________________

(b) How far has Jay swam so far? __________________

(d) How much further does Sean need to swim to reach the 50 km target?

__________________

(c) How much further has Abdul swam than Harry?

__________________

Practice


Version 1.0 241

2

(a) How much would it cost to stay in a Chalet for one week in August?

£ _______________________

(b) How much would it cost to stay in a Lodge for one week in May?

£ _______________________

(c) Mr Stafford wants his holiday to be as cheap as possible should he stay in a

Chalet or Lodge?

_____________________________________

(d) Why do you think the prices are different at different times of the year?

_______________________________________________________________

_______________________________________________________________

_______________________________________________________________

_______________________________________________________________

CHALET

April to June £120

July to September £220

October to March £ 80

LODGE

April to June £150

July to September £270

October to March £110

Price per person per week

Practice

242 Version 1.0

Outcome 3.4 Complete a frequency table given the original list of results

1 20 pupils were asked their shoe size. Here are the results.

Complete the frequency table in the space given.

6 4 6 3 6

5 6 8 7 5

6 7 9 4 3

7 4 4 6 8

Size of Shoe Frequency

3

4

5

6

7

8

9

(a) How many pupils wear size 4 shoes? __________________

(b) How many pupils wear size 6 shoes? __________________

(c) How many pupils wear size 8 shoes? __________________

Practice


Version 1.0 243

2 30 people were asked how they travel to work.

Here are the results.

Complete the frequency table in the space given.

Car Cycle Car Bus Walk Bus

Car Walk Cycle Car Bus Car

Bus Car Bus Bus Bus Car

Car Car Cycle Cycle Car Car

Cycle Walk Car Cycle Walk Bus

Mode of transport Frequency

Bus

Car

Cycle

Walk

(a) How many people walk to work? __________________

(b) How many people cycle to work? __________________

(c) How many people catch a bus to work? __________________

Practice

244 Version 1.0

Outcome 3.5 Complete a tally chart and the resulting frequency table

Name Date achieved

1 The data below shows the price of pencils in 27 shops.

23 29 25 25 29 29 29 25 23

27 23 23 25 25 25 29 27 27

23 25 23 25 29 27 29 23 23

(a) Complete the tally chart to show this information.

Price of Pencil Tally

23

25

27

29

(b) Complete the frequency table to show this information.

Price of Pencil Frequency

23

25

27

29

Practice


Version 1.0 245

2 Some students were asked their favourite type of TV programme.

Drama Soaps Soaps Comedy Reality Comedy Soaps

Drama Drama Reality Reality Soaps Soaps Comedy

Comedy Soaps Reality Soaps Drama Soaps Comedy

Comedy Drama Reality Soaps Drama Soaps Soaps

(a) Complete the tally chart to show this information.

Type of TV programme Tally

Comedy

Drama

Reality

Soaps

(b) Complete the frequency table to show this information.

Type of TV programme Frequency

Comedy

Drama

Reality

Soaps

Practice

246 Version 1.0

Outcome 3.6 Compare two or more diagrams

Name Date achieved

1 Matt and Carly both count the number of text messages they received in a week.

The pictogram shows the number of text messages that Carly received in one week.

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Sunday

The Bar chart shows the number of text messages that Matt received in one week.

(a) How many text messages did Carly get on Monday? _______________

(b) Who got the most text messages on Friday? ______________________

0

2

4

6

8

10

12

Key = 2 texts

Monday Tuesday Wednesday Thursday Friday Saturday Sunday

Practice


Version 1.0 247

(c) On which days did Carly receive the same number of text messages as Matt?

_____________________________________

(d) During the week Carly received 37 text messages altogether.

Matt claims that he receieved more text messages than Carly.

Is he correct? Show how you decide.

______________________________________________________________________

______________________________________________________________________

______________________________________________________________________

Practice

248 Version 1.0

Outcome 3.7 Solve one-step and two step problems based on statistical

information

Name Date achieved

1 The graph shows the number of bikes sold by “The Bike People’ shop in 2014.

Janu

ary

Febr

uary

Mar

ch

Apr

il

May

June

July

Aug

ust

Sep

tem

ber

Oct

ober

Nov

embe

r

Dec

embe

r

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

Practice


Version 1.0 249

The table shows the number of bikes sold by “The Bike People’ shop in 2015.

. Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

Number of bikes

sold 1 3 5 6 9 12 10 12 9 10 13 15

(a) Which month had the highest number of sales in both 2014 and 2015?

_____________________________________

(b) Which month in both years had the same number of sales?

_____________________________________

(c) How many more bikes were sold in June 2015 than June 2014?

___________

(d) How many more bikes were sold in the first 3 months of 2014 than during the first

3 months of 2015?

_____________________________________

(e) In which year were the most bikes sold?


______________________________________________________________________

______________________________________________________________________

______________________________________________________________________

______________________________________________________________________

______________________________________________________________________

Practice

AQA Entry Level Certificate in Mathematics

first certification summer 2017

You can download a copy of the specification and support materials from our website:

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