ma - · pdf filesta/12/5588 (pupil pack) sta/12/5581 (mark schemes pack) 20 1 2: mathematics...

Mathematics test

Page Marks

5

7

9

11

13

15

17

19

21

Total

First name

Middle name

Last name

School

DfE number

Test ACalculator not allowed

For marker’s use only

2012

Ma

KEY STAGE

2LEVELS

3–5

These three children appear in some of the questions in this test.

MinaKirsty Seb

2

Instructions

You may not use a calculator to answer any questions in this test.

Work as quickly and as carefully as you can.

You have 45 minutes for this test.

If you cannot do one of the questions, go on to the next one.

You can come back to it later, if you have time.

If you finish before the end, go back and check your work.

Follow the instructions for each question carefully.

This shows where you need to put the answer.

If you need to do working out, you can use any space on a page.

Some questions have an answer box like this:

For these questions you may get a mark for showing your working.

Show your

working

3

Match each shape to the correct name.

One has been done for you.

triangle

pentagon

octagon

quadrilateral

hexagon

1i

1ii

2 marks

1

4

Write these prices in order, starting with the smallest.

£25

£

£2.50

£

£20.05

£

£20.50

£

smallest

2

1 mark

2

Circle the number which is closer to 1000

996 1006

Explain how you know.

3

1 mark

3

5 Total out of 4

Kirsty, Seb and Mina made toffee apples to sell at the school fair.

They made 80 toffee apples altogether.

Kirsty sold 12 toffee apples.

Seb sold 25 toffee apples.

Mina sold 17 toffee apples.

How many toffee apples were left?

4ai

4aii

2 marks

Show your

working

Kirsty sold her 12 toffee apples for 50p each.

How much money did she collect?

4b

1 mark

4

6

Here is a number machine.

7

14

+ 3

× 2

4

Here is another number machine.

Write the four missing numbers.

42

+ 3

× 2

× 2

+ 3

5i

5ii

2 marks

5

7 Total out of 5

Kirsty, Seb, Mina, Jack and Donna belong to a sports club.

This table shows the sports they do in one week.

Mon Tues Wed Thurs Fri

SwimmingKirsty Jack

JackKirsty Donna

Donna

Jogging Seb MinaMina Kirsty Jack

CyclingKirsty Donna

Jack Seb

How many of the children do not go swimming?

6a

1 mark

Write the names of all the children who go both jogging and cycling.

6b

1 mark

6

8

Calculate 507 – 291

7

1 mark

7

This square has two dots on each side.

The dots are equally spaced.

Join two dots to divide the square into two equal parts.

Use a ruler.

8

1 mark

8

9 Total out of 4

Shade 14 of this shape.

9

1 mark

9

Complete this table to show the numbers rounded to the nearest 100


rounded to the nearest hundred

316 300

3162

31628

316281

10i

10ii

2 marks

10

10

Kirsty draws this shape on a grid.

She turns her grid one quarter turn clockwise.

Draw the shape in its new position after the turn.

Use a ruler.

11

11

1 mark

11 Total out of 4

These are the prices of cheese in a shop.

Cheddar cheese82p for 100 grams

Edam cheese66p for 100 grams

Cottage cheese45p for 100 grams

Mina buys 200g of Cheddar cheese and 150g of Edam cheese.

How much does she pay altogether?

Show your

working

£

12ai

12aii

2 marks

Seb buys some cottage cheese for £1.35

How many grams of cottage cheese does he get?

g

12b

1 mark

12

12

Here are five shapes on a regular grid.

A B C

E

D

Which shape has the longest perimeter?

13a

1 mark

Which shape has only one line of symmetry?

13b

1 mark

13

13 Total out of 5

Calculate 144 ÷ 6

14

1 mark

14

These are all times on the same morning.

A 7:56am

B quarter to eight

C six minutes to eight

D half past seven

Write the letters for the times in order, starting with the earliest.

15

1 mark

15

14

Here is a Venn diagram for sorting numbers.

Write each number in its correct place on the diagram.

10 11 12 13

multiples of 4

multiples of 2

16i

16ii

2 marks

16

15 Total out of 4

Freddie is half as tall as his mother.

Freddie is one metre shorter than his father.

Freddie’s father is 180 centimetres tall.

How many centimetres tall is Freddie’s mother?

cm

17

1 mark

17

Calculate 560 × 28

Show your

working

18i

18ii

2 marks

18

16

Here are five letters on a scale.

B D

A C E

2 litres1 litre

Match each letter to one of the capacities in the list below.

1200ml

1.7 l

114l

1560ml

1.07 l

19i

19ii

2 marks

19

17 Total out of 5

Seb has some cubes with a cross on each face and

some cubes with a circle on each face.

He sticks five cubes together to make this shape.

How many crosses and how many circles are there on the outside of the shape?

Number of crosses 20a

1 mark

Number of circles 20b

1 mark

20

18

Mina has 5 more marbles than Kirsty.

Kirsty has 2 more marbles than Seb.

Altogether they have 30 marbles.

How many marbles does each child have?

21i

21ii

2 marks

Show your

working

KirstyMina Seb

21

19 Total out of 4

This pie chart shows the ingredients to make

a food mixture for wild birds.

suet

millet

sun�owerseeds

dried breadcrumbs

Estimate the percentage of mixture that is suet.

%

22a

1 mark

Mina uses 100 grams of millet in the mixture.

Estimate how many grams of sunflower seeds she should use.

g

22b

1 mark

22

20

Write these in order of size, starting with the smallest.

34

0.34 0.7 43%

smallest

23

1 mark

23

24 In a class, 18 of the children are girls.

A quarter of the children in the class are boys.

Altogether, how many children are there in the class?

24i

24ii

2 marks

Show your

working

21 Total out of 5

End of test

22

© Crown copyright 2012

STA/12/5588 (Pupil pack)STA/12/5581 (Mark schemes pack)

2012

Mathematics test

Page Marks

5

7

9

11

13

15

17

19

21

23

Total

For marker’s use only

First name

Middle name

Last name

School

DfE number

Test BCalculator allowed

2012

Ma

KEY STAGE

2LEVELS

3–5

These three children appear in some of the questions in this test.

MinaKirsty Seb

2

Instructions

You may use a calculator to answer any questions in this test.

Work as quickly and as carefully as you can.

You have 45 minutes for this test.

If you cannot do one of the questions, go on to the next one.

You can come back to it later, if you have time.

If you finish before the end, go back and check your work.

Follow the instructions for each question carefully.

This shows where you need to put the answer.

If you need to do working out, you can use any space on a page.

Some questions have an answer box like this:

For these questions you may get a mark for showing your method.

Show your

method

3

Write the missing numbers.

57 + = 125 1a

1 mark

5 × = 175 1b

1 mark

1

Here is a semi-circle.

Measure accurately the length of the straight edge.

Give your answer in centimetres.

cm

2

1 mark

2

4

Mina and Seb share these coins so that they each have the same

amount of money.

Mina chooses her coins first.

Seb takes the rest of the coins.

Which coins could Mina choose?

3

1 mark

3

5 Total out of 4

Here are three shapes made from regular hexagons.

Write the fraction of each shape that is shaded.

4

4i

4ii

2 marks

6

5 Here are five calculations.

For each, put a tick ( ) in the box if the answer is greater than 450Put a cross ( ) if it is not.


greater than 450

46 × 10

149 + 137 + 158

911 − 447

863 ÷ 2

16 × 2812

5i

5ii

2 marks

7 Total out of 4

This diagram shows a square with dots at the vertices and at the

middle of each side.

The square is divided into four triangles, A, B, C and D.

AB

C

D

Write the letters of all the triangles that have a right angle.

6a

1 mark

Write the letters of all the triangles that have two equal sides.

6b

1 mark

6

8

elena

Cross-Out

A survey was done to find out children’s favourite season.

This chart shows the results.

winter

0 2

autumn

summer

spring

4 6 8

Number of children

10 12 14 16

How many more children chose autumn than chose spring?

7a

1 mark

Kirsty says,

‘Exactly twice as many children chose summer as chose winter.’

Is Kirsty correct? Circle Yes or No.

Yes / No


7b

1 mark

7

9 Total out of 4

The table below shows five journeys a taxi driver made one day.

journey number

start time

number of passengers

distance cost

1 9:15am 2 8km £7.50

2 9:40am 1 12km £9.90

3 10:30am 3 7km £7.60

4 10:50am 1 21km £15.50

5 12:10pm 4 15km £12.00

On journey number 5, the passengers shared the cost equally.

How much did each passenger pay?

£

8a

1 mark

How many passengers made journeys of more than 10km?

passengers

8b

1 mark

The 12km journey took 40 minutes.

What time did the taxi finish its journey?

am

8c

1 mark

8

10

Here is a design on a square grid.

Complete the design so that it is symmetrical about the mirror line.

Use a ruler.

mirror line

9

1 mark

9

11 Total out of 4

Seb goes on a sponsored walk to collect money for charity.

His aunt promises to pay 75p for each kilometre he walks.

She pays him £6.75 at the end of the walk.

How many kilometres does Seb walk?

km

10a

1 mark

15% of the people walk 5km or less.

40% of the people walk 8km or more.

What percentage of the people walk between 5km and 8km?

%

10b

1 mark

10

12

Here is a number line.

0 1

Y X

What is the value of X?

X = 11a

1 mark

Estimate the value of Y.

Y = 11b

1 mark

11

13 Total out of 4

Kirsty ran a race in one and a half minutes.

Mina took 10 seconds longer.

How many seconds did Mina take to run the race?

seconds

12a

1 mark

Seb made a jump of two and a half metres.

Kirsty’s jump was 10 centimetres longer.

How long was Kirsty’s jump?

12b

1 mark

12

14

Three single-digit numbers multiply to make 504

Write the missing numbers.

× × = 504

13

1 mark

13

Mina thinks of a 3-D shape.

She says,

‘It has 5 faces. Two opposite faces are triangles. The other faces are rectangles.’

What is the name of the 3-D shape?

14

1 mark

14

15 Total out of 4

Seb bought 2 apples and 3 pears.

He spent £1.59 altogether.

Apples cost 24p each.

How much does one pear cost?

Show your

method 15i

15ii

2 marks

15

16

Here are some tiles on a square grid.

A

C

B

D E

F G

Three different tiles can be fitted together without overlapping to

make a shape identical to tile A.

Write the letters of the three tiles.

and and 16

1 mark

16

17 Total out of 3

A gardener plants tulip bulbs in a flower bed.

She plants 3 red bulbs for every 4 white bulbs.

She plants 60 red bulbs.

How many white bulbs does she plant?

Show your

method 17i

17ii

2 marks

17

Here is a shaded shape on a 1cm square grid.

1cm

1cm

What is the area of the shaded shape?

cm2

18

1 mark

18

18

Kirsty measured the length of her shadow every hour on one sunny day.

She plotted her results on this graph.

Length ofshadow (cm)

9:000

100

200

10:00 11:00 12:00

Time

1:00 2:00 3:00 4:00am pm

Look at the graph.

Estimate the length of Kirsty’s shadow at 3:30pm.

cm

19a

1 mark

Estimate a time when her shadow was 180 centimetres long.

:

19b

1 mark

19

19 Total out of 5

The diagram shows four lines drawn on a square grid.

The lines are AB, BC, CD and DA.

D

A

B

C

Which two of the lines are parallel?Circle them in the list below.

AB BC CD DA 20a

1 mark

Which two of the lines are perpendicular?Circle them in the list below.

AB BC CD DA 20b

1 mark

20

20

Write the missing number to make this calculation correct.

( 18 +

) × 32 = 777.6 21

1 mark

21

A school buys some yo-yos as prizes.

The yo-yos cost £4.25 each.

The school has £40 to spend on prizes.

They buy as many yo-yos as they can.

How much money is left?

Show your

method 22i

22ii

2 marks

22

21 Total out of 5

j and k stand for two numbers.

Double j equals half of k.

Write numbers to complete the sentence below.

When j is then k is 23

1 mark

23

Here is a line on coordinate axes.

O

P

Q

R

(25,12)

x

y

Points O, P, Q and R are equally spaced.

The coordinates of P are (25,12).

What are the coordinates of R?

R = ( , )

24

1 mark

24

22

Three whole numbers add up to 50

Seb says,

‘All three numbers must be even numbers.’

Is Seb correct? Circle Yes or No.

Yes / No


25

1 mark

25

23 Total out of 3



2012

THIS BOOKLET CONTAINS CONFIDENTIAL TEST QUESTIONS.

IT MUST BE KEPT SECURE. IT SHOULD NOT BE OPENED

UNTIL THE MENTAL MATHEMATICS TEST IS DUE TO START ON

WEDNESDAY 16 MAY 2012.

EARLY OPENING, UP TO ONE HOUR BEFORE THE TEST STARTS,

IS PERMISSIBLE ONLY IF PAPERS ARE NEEDED FOR ADMINISTRATIVE

PURPOSES.

This booklet contains a transcript of the Key Stage 2 mental mathematics test. It should be used ONLY in the case of CD failure or for specific access arrangements outlined in the 2012 Key Stage 2 Assessment and reporting arrangements.

Mathematics test

Mental mathematics Test transcript

2012

Ma

KEY STAGE

2LEVELS

3–5

2

Notes for use of transcript

Instructions

In the event of CD failure, the test administrator should follow the instructions on pages 2 and 5.

1. Pupilsshouldhaveonlypensorpencils.Theyshouldnothaverubbers,rulers,calculatorsorany

mathematicalequipment.Accesstopaperforworkingoutanswersisnot allowed.

2. Ensurethateachpupilhasananswersheet.Tellthepupilstowritetheirname,schoolandDfEnumber

intheboxatthetopoftheanswersheet.

3. Ensurethepupilsunderstandthat:

theymustcompletethetestontheirownwithoutcopyingordiscussingquestionswithotherpupils

theywillbetoldhowlongtheyhavetoanswereachquestionandthatthetimegivenwill

increasefrom5,to10,to15secondsasthetestprogressesthroughthethreesections

forsomeofthequestions,theinformationtheywillneedisincludedinorbesidetheanswerbox

onthepupilanswersheet

theyarenotallowedtouseacalculatororanyothermathematicalequipment

iftheywanttochangetheiranswer,theyshouldputacrossthroughtheirfirstanswer.Theyare

notallowedtoruboutanyanswers

theyshouldanswerasmanyquestionsastheycan.Iftheyfindaquestiontoodifficult,they

shouldputacrossintheanswerboxandwaitforthenextquestion

theyshouldnotwriteinthewhiteboxesinthebluemargins

theywillnotbeallowedtoaskanyquestionsoncethetesthasstarted.

4. Thetestadministratormusthaveaccesstoaclockorwatchthatmeasuresaccuratelyinseconds.

Instructions continued on page 5

3

Test questions

‘Now we are ready to start the test.

For this group of questions, you will have 5 seconds to work out each answer and write it down.’

The questions

1 What is double thirty-six?

2 What time is it half an hour before eleven o’clock?

3 Divide forty-two by seven.

4 Subtract forty-five from one hundred and twenty.

5 What is two-thirds of one hundred and fifty?

‘For the next group of questions, you will have 10 seconds to work out each answer and write it down.’

6 Add twenty-nine to eighty-nine.

7 Cakes cost one pound twenty-five each. How much do four cakes cost?

8 Multiply three by eight, then subtract nine.

9 How many metres are there in half a kilometre?

10 What is twenty-five percent of six hundred?

11 Look at your answer sheet. How much does it cost altogether for one small pizza and one large pizza, each with one extra topping?

12 Subtract one and a half from eight.

13 Look at your answer sheet. Put a ring around the number that is closest to one.

14 Two angles of a triangle are fifty degrees each. What is the third angle of the triangle?

15 What must be added to eight squared to make one hundred?

‘For the next group of questions, you will have 15 seconds to work out each answer and write it down.’

16 Look at your answer sheet. Add the five numbers together.

17 Sandwiches cost one pound fifty pence each. I buy six sandwiches. How much change do I get from ten pounds?

18 What is thirty-two multiplied by eight?

19 What number is exactly halfway between ten and negative twenty?

20 Look at your answer sheet. Put a ring around the two prime numbers in the list.

‘Now put down your pen or pencil. The test is finished.’

4

Reference copy of pupil answer sheet

Key stage 2 mathematics 2012 mental mathematics test

First name Middle name

Last name DfE number

School name Total marks

Practice question

22

Time: 5 seconds

11

4 454

33

1515

5 1505

Time: 10 seconds

6 29 896

8 98

7 £ £1.257

9 m9

1818

1919

17 £ £1.5017

20 31 33 35 37 3920

10 25%10

14 º 50º14

1212

13 0.09 0.89 0.1

1.2 1.1913

11 Pizza

small £6.00

medium £7.50

large £9.00

extra topping 50p

£11

Time: 15 seconds

16 30 40 50

60 7016

5

5. Readoutthefollowingscript, using exactly these words:

Listen carefully to the instructions I am going to give you.

I am going to ask you 20 questions for the test. I will read each question twice. Listen carefully both times. You will then have time to work out your answer.

On your sheet there is an answer box for each question, where you should write the answer and nothing else. Some questions are easy and some are harder, so don’t worry if you cannot answer a question.

For some of the questions, important information is already written down for you on the sheet.

You should work out the answer to each question in your head. Do not try to write down your calculations. This will waste time and you may miss the next question. However, you may jot things down outside the answer box if this helps you.

If you cannot work out an answer, put a cross in the answer box. If you make a mistake, cross out the wrong answer and then write the correct answer next to it.

You will not be able to ask questions once the test has begun. If you have any questions you may ask them now.

6. Stopandansweranyquestionsthatthepupilsmayhave.

7. Readoutthefollowing:

I will start by reading a practice question to show you what to do.

I will read the practice question twice. Then you will have 5 seconds to work out the answer and write it in the answer box.

What is twenty add twelve?

Repeatthequestion.

What is twenty add twelve?

Waitfiveseconds(measuredaccuratelyusingaclockorwatch),thenreadoutthefollowing:

Now put down your pen or pencil.

8. Ensurethatthepupilshavecorrectlyplacedtheiranswerstothepracticequestionontheiranswersheets.Remindthepupilsthat,forsomequestions,informationisprovidedinorbesidetheanswerbox.Whentheyarereadytobeginthetest,tellthepupilsthatyouwillnotbeabletoansweranyfurtherquestions,orinterruptthetest,onceyouhavestartedreadingthequestions.

9. Thequestionsaregivenonpage3ofthisbooklet.Thequestionsmustbereadoutexactlyaswritten.Startbystatingthequestionnumber,thenreadeachquestiontwicebeforeleavingthe5,10or15secondresponsetime.These timings must be strictly adhered to.

10. Attheendofthetest,tellthepupilstoputdowntheirpensorpencils,thencollecttheiranswersheets.

ma - · pdf filesta/12/5588 (pupil pack) sta/12/5581 (mark schemes pack) 20 1 2: mathematics...

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