basic arithmetic and the calculator - … · 2 g − = 23 7 2 h − = 3 2 5 4 i ... a 35×16= b 25...

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Basic Arithmetic and The Calculator

3.4% of 2560 = ____

Student Book - Series H-1

Basic arithmetic and the calculatorStudent Book - Series H

Contents

Author of The Topics and Topic Tests: AS Kalra

Topics

Practice Tests

Topic 1 - Addition and subtraction __/__/__

Topic 1 - Topic test A __/__/__

Date completed

Topic 2 - Multiplication __/__/__

Topic 2 - Topic test B __/__/__

Topic 3 - Division __/__/__ Topic 4 -Approximations and rounding off __/__/__ Topic 5 - Mixed operations __/__/__ Topic 6 - Squares, cubes and powers __/__/__ Topic 7 - Square roots and cube roots __/__/__ Topic 8 - Money and the calculator __/__/__

Basic arithmetic and the calculatorMathletics Instant Workbooks – Series H Copyright © 3P Learning

1Basic arithmetic and the calculatorMathletics Instant Workbooks – Series H Copyright © 3P Learning

Basic arithmetic and the calculator Topic 1: Addition and subtraction

Basic arithmetic and the calculator

63EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 1

page 152ANSWERS

QUESTION 1 Use a calculator to work out the following.a 28 + 52 + 69 = b 64 + 120 + 43 = c 85 + 36 + 49 =

d 86 + 34 + 128 = e 192 + 87 + 15 = f 65 + 87 + 235 =

g 48 + 65 + 579 = h 624 + 8359 = i 6536 + 8538 =

j 698 + 12653 = k 5834 + 3939 = l 9436 + 3968 =

QUESTION 2 Calculate the following.a 9.36 – 4.9 = b 19.79 – 6.3 = c 82.69 – 8.36 =

d 16.39 – 2.56 = e 56.86 – 12.35 = f 56.83 – 36.5 =

g 43.68 – 13.5 = h 18.48 – 16.39 = i 93.64 – 86.3 =

j 92.86 – 53.7 = k 48.43 – 36.382 = l 62.88 – 16.8 =

QUESTION 3 Use your calculator to find the following.a 92.5 + 63.8 = b 96.36 + 8.9 = c 9.3 + 83.5 =

d 68.6 + 100.65 = e 53.68 + 35.45 = f 63.86 + 30.62 =

g 68.9 + 93.5 = h 63.56 + 128.86 = i 43.91 + 105.36 =

j 12.6 + 193.8 = k 13.9 + 123.48 = l 91.8 + 102.76 =

QUESTION 4 Use your calculator to find the following.

a =−27

4

9

4b =−

17

1

17

8c =−

15

3

15

8

d =−11

2

11

6e =−

3

2

9

8f =−

7

3

5

2

g =−23

72 h =−

3

2

5

4i =−

20

3

20

9


a =−3

11

3

22 b =−

4

15

2

120 c =+

4

18

4

112

d =+4

39

2

18 e =−

6

58

4

336 f =−

5

23

5

47

g =−3

28

2

115 h =−

3

22

4

18 i =−

2

14

4

318

j =−4

36

12

510 k =−

3

24

9

58 l =−

4

32

6

59

UNIT 1: Addition and subtraction

CHAPTER 6

3

4

page 151


Basic arithmetic and the calculatorTopic 2: MultiplicationBasic arithmetic and the calculator

EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 164

page 152ANSWERS

UNIT 2: Multiplication

QUESTION 1 Use a calculator to work out the following.a =×3264 b =×3386 c =×9248d =× 26165 e =×54326 f =×52436g =×12048 h =×15432 i =×1682j =× 2864 k =×3289 l =×109536

QUESTION 2 Calculate the following.a =×564.8 b =× 9.78.6 c =× 2.189.5d =×1286.9 e =×36.53 f =× 6.785.36g =× 1.23.9 h =× 1.49.86 i =× 5.436.2j =× 5.66.16 k =× 9.42.91 l =× 6.885.0

QUESTION 3 Use your calculator to find the answer.

a =×7

5

3

2b =×

3

1

2

1c =×

3

2

8

5

d =×9

7

4

1e =×

2

11

3

12 f =×

5

12

4

13

g =×4

14

9

8h =×

4

31

6

54 i =×

3

23

16

5

j =×4

13

6

55 k =×

5

22

2

13 l =×

7

12

2

116

QUESTION 4 Use your calculator to simplify the following.a =×1635 b =×2625 c =×5496d =×1486 e =×3185 f =×6932g =× 3.248 h =×872.3 i =× 7.32.9j =× 54.389 k =× 9.86.5 l =× 9.37.15

QUESTION 5 Use your calculator to work out the following.a =× 8.56.8 b =× 9.586.2 c =× 9.46.18d =× 6.65.93 e =× 5.873.6 f =× 4.38.5g =× 8.29.35 h =× 9.87.32 i =× 1.369.9j =× 3.28.53 k =× 64.58.3 l =× 8.58.16m =× 4.569.9 n =× 2.46.9 o =× 9.66.9

18.6

page 151


Basic arithmetic and the calculatorTopic 3: DivisionBasic arithmetic and the calculator


page 152ANSWERS

QUESTION 1 Use a calculator to work out the following.a =÷1680 b =÷81392 c =÷35631d =÷972 e 8100 90÷ = f =÷58995g =÷32577 h =÷9981 i =÷5940j =÷52565 k =÷806400 l =÷97263

QUESTION 2 Calculate the following.a =÷ 24.80 b =÷39.66 c =÷55.63d =÷ 24.90 e =÷927.18 f =÷ 2.05.93g =÷55.864 h =÷55.56 i =÷55.86j =÷33.96 k =÷ 26.98 l =÷ 5.28500


a =÷7

2

7

5b =÷

100

3

100

9c =÷

5

3

20

17

d =÷2

11

4

32 e =÷

4

12

4

36 f =÷

2

14

2

118

g =÷5

13

5

28 h =÷

10

11

10

19 i =÷

5

11

5

39

j =÷2

11

4

15 k =÷

5

23

10

79 l =÷

4

12

4

38

QUESTION 4 Use your calculator to simplify the following.a =÷16112 b =÷36.84 c =÷ 02.06.642d =÷ 4256 e =÷322.836 f =÷ 5.05.463g =÷3243 h =÷ 4.08.512 i =÷ 03.07.128j =÷9729 k =÷ 03.036.189 l =÷ 3.09.48

QUESTION 5 Calculate the following.

a =÷7

2

7

59 b =÷

3

2

6

58 c =÷

2

12

2

110

d =÷4

13

8

35 e =÷

2

1

4

136 f =÷

5

2

10

758

g =÷10

11

5

316 h =÷

2

11

4

128 i =÷

4

12

2

136

UNIT 3: Division

page 151


Basic arithmetic and the calculatorTopic 4: Approximations and rounding offBasic arithmetic and the calculator


page 152ANSWERS

UNIT 4: Approximations and rounding off

QUESTION 1 Round off the following numbers to the nearest unit.a 8.2 = b 9.13 = c 5.46 =

d 31.5 = e 81.9 = f 3.51 =

g 8.72 = h 9.36 = i 52.5 =

j 63.18 = k 39.09 = l 63.7 =

QUESTION 2 Round off the following numbers to the nearest ten.a 56 = b 83 = c 92 =

d 129 = e 365 = f 533 =

g 968 = h 6359 = i 9638 =

j 3541 = k 10 356 = l 8932 =

QUESTION 3 Round off the following to the nearest hundred.a 867 = b 960 = c 432 =

d 3256 = e 8365 = f 9365 =

g 9652 = h 9635 = i 958 =

j 596 = k 3543 = l 6831 =

QUESTION 4 Round off the following numbers to the nearest thousand.a 8647 = b 6349 = c 52 138 =

d 9681 = e 5963 = f 68 009 =

g 10 543 = h 12 684 = i 5838 =

j 9325 = k 8312 = l 15 693 =

QUESTION 5 Round off the following decimals correct to one decimal place.a 8.36 = b 0.93 = c 12.63 =

d 32.58 = e 0.29 = f 15.08 =

g 10.48 = h 63.38 = i 92.75 =

j 49.27 = k 86.39 = l 66.22 =

QUESTION 6 Express the following decimals correct to two decimal places.a 63.831 = b 6.531 = c 9.631 =

d 8.674 = e 83.113 = f 60.125 =

g 34.625 = h 93.527 = i 90.108 =

j 91.218 = k 126.361 = l 96.136 =

m 39.312 = n 19.618 = o 343.334 =


Basic arithmetic and the calculatorTopic 5: Mixed operationsBasic arithmetic and the calculator


page 152ANSWERS

UNIT 5: Mixed operations

QUESTION 1 Use your calculator to simplify the following.a =−+ 5918 b =−− 121846 c =−++ 9632116d =−−− 23556 e ( ) =+− 2986 f ( ) =×+ 6510g =××× 34518 h =××÷ 22372 i =÷÷÷ 2652400j =×+ 548 k =÷+ 42412 l =×− 3780

QUESTION 2 Use your calculator to work out the following.a =+ 3.983.365 b =÷ 2.158.832 c =−+ 7.85.838.36d =×+× 2.136.54 e =×× 3.18.56.8 f =×+ 25.569.83g =−× 4.153.89.6 h =×+× 5.16.35.29.8 i =×+× 2.13.85.13.0j =×− 2.14.26.83 k =×× 5.13.28.6 l =×+ 1.27.58.96

QUESTION 3 Calculate the following.

a =++3

2

4

3

2

19 b =−+

5

42

3

23

5

24 c =−+

3

1

9

2

3

19

d =+−8

11

2

12

4

36 e =+−

3

15

5

22

5

39 f =×÷

4

1

12

12

7

29

g =+−3

11

6

53

3

29 h =÷×

4

12

15

4

2

13 i =××

15

11

21

10

5

3

QUESTION 4 Use your calculator to answer the following.a =+− 25.153.97.36 b ( ) =×+ 3.16.58.9 c =×÷ 910900d ( ) =−÷ 3.53.86783 e =−× 78.24.125.8 f =+ 7.88.63g =−× 7.2152.96.825 h =×× 3.22.56.8 i =−+ 6312496j =×+ 2.13.87.53 k =+÷ 9.82.16.9 l =÷× 2.13.88.12

QUESTION 5 Use the fraction key to calculate the following.

a =−+9

1

6

1

3

2b =−+ 3

4

15

3

12 c =÷×

2

1

7

4

8

1

d =÷×2

11

3

25

2

14 e =÷×

2

1

7

4

5

2f =+−

4

13

8

11

4

32

g =××2

11

2

12

2

13 h =×÷

9

7

5

2

4

12 i =÷×

5

12

7

4

5

35

j =××3

21

10

7

14

5k =−+

6

5

12

11

9

5l =×÷

2

12

4

11

7

39


Basic arithmetic and the calculatorTopic 6: Squares, cubes and powersBasic arithmetic and the calculator


page 152ANSWERS

UNIT 6: Squares, cubes and powers

QUESTION 1 Use the x2 key to evaluate the following.a (6)2 = b (8)2 = c (11)2 =

d (56)2 = e (35)2 = f (69)2 =

g (8.5)2 = h (3.4)2 = i (7.9)2 =

j (13.65)2 = k (15.3)2 = l (18.1)2 =

QUESTION 2 Use the y2 key to find the answer.a (3)3 = b (5)3 = c (7)3 =

d (9)3 = e (4)3 = f (5)4 =

g (6)4 = h (3)5 = i (4)5 =

j (2)8 = k (3)7 = l (2.4)3 =

QUESTION 3 Calculate the following correct to 2 decimal places.a (4.1)3 = b (2.7)3 = c (9.4)3 =

d (8.3)4 = e (5.3)4 = f (16.3)4 =

g (12.5)2 = h (6.7)5 = i (8.1)5 =

j (91.7)2 = k (31.8)2 = l (43.6)2 =

QUESTION 4 Evaluate the following. Leave your answers in fraction form.

a =

2

4

11 b =

3

5

2c =

2

4

12

d =

2

2

12 e =

2

5

16 f =

2

2

19

g =

2

5

33 h =

4

2

12 i =

4

2

15

j =

3

2

11 k =

3

3

11 l =

2

5

13

QUESTION 5 Use your calculator to evaluate the following correct to 2 decimal places.a (6.9)2 = b (8.12)2 = c (9.23)2 =

d (5.4)3 = e (6.8)3 = f (9.3)3 =

g (1.2)4 = h (8.93)2 = i (9.1)3 =

j (18.4)2 = k (19.34)2 = l (6.5)3 =

m (4.6)4 = n (1.2)5 = o (8.1)3 =


Basic arithmetic and the calculatorTopic 7: Square roots and cube rootsBasic arithmetic and the calculator


page 152ANSWERS

UNIT 7: Square roots and cube roots

QUESTION 1 Use the square root key to simplify the following.

a =4 b =36 c =49

d =64 e =121 f =144

g =169 h =+ 2564 i =× 649

j =÷ 25625 k =× 64225 l =+ 576676

QUESTION 2 Use the cube root key to evaluate the following.

a =3 27 b =3 64 c =3 216

d =3 343 e =3 729 f =3 2197

g =3 512 h =3 125 i =× 33 278

j =× 33 100064 k =3 728.1 l =× 3 1259

QUESTION 3 Use your calculator to simplify the following correct to one decimal place.

a =× 5.149 b =× 33 8728.1 c =× 921.1

d =× 3 824.10 e =× 64.004.0 f =× 56.264

g =× 76.51253 h =3 343.0 i =3 197.2

j =× 47293 k =× 95123 l =× 33 81331

QUESTION 4 Use your calculator to simplify the following correct to two decimal places.

a =4

18 b =

7

5c =

3

16

d =3

5

216 e =3

4

39 f =

4

16

g =× 3

4

15

2

11 h =× 3

4

1349 i =3

5

230

j =×8

52

7

6k =× 33

8

78 l =+

4

81

4

37

QUESTION 5 Use your calculator to evaluate the following correct to one decimal place.

a =87.5 b =3 343 c =25.72

d =3 68.3 e =+ 21.1728.13 f =61.9

g =3 64.19 h =3 125.0 i =3 167.12

j =4.16 k =76.5 l =3 512.0

+


Basic arithmetic and the calculatorTopic 8: Money and the calculatorBasic arithmetic and the calculator


page 152ANSWERS

UNIT 8: Money and the calculator

QUESTION 1 Use your calculator to work out the following questions. Give your answer in dollars and cents.

a =+ 85.3$65.20$ b =× .454$8 c =+ $83.206.705$d =+ $23.658.401$ e =+ $43.35 8.605$ f =×94.501$g =− $68.70096$ h =− $39.252.608$ i =×45.802$j =÷5722$ k =×$23.805 l =+ $36.405.359$

QUESTION 2 Use your calculator to work out the following questions. Give your answer in dollars and cents.

a =+ 65¢86$ b =+ 65¢$83.30 c =+ $3568.751$d =+ 25.30$85¢ e =− 70$$293.50 f =− $35.805.659$g =× 2365¢ h =÷ 72.720$ i =− $5.88096$j =× 60012¢ k =− 89¢832$ l =− $30.6525.681$

QUESTION 3 Work out the following questions.

a =÷5.958$ b =− 9.533$30.68$ c =− 30.6$6091$ .d =×9.306$ e =− 64.23$8.694$ f =+ 30.82$51.601$g =+ 63.10$5.651$ h =− 5.308$13.602$ i =+ 30.36$2.859$j =+ .329$.648$ k =− .338$.649$ l =+ 30.120$21.651$

QUESTION 4 Round off to the nearest 5 cents.

a $2.36 = b $4.76 = c $29.87 =

d $25.83 = e $18.93 = f $64.33 =

g $15.68 = h $10.64 = i $212.83 =

j $19.69 = k $25.63 = l $34.48 =

QUESTION 5 Answer the following questions

a Find the cost of 34 pens at $5.65 each.

b Divide $4626 equally among three people.

c If 4 dozen cans cost $24, find the cost of 1 can.

d Find the cost of 130 rulers at $1.05 each.

e Find the cost of 3.5 kg of oranges at $2.60/kg.

f Find the cost of 12 work books at $6.30 each.

g Find the cost (to the nearest 5 cents) of 3.5 kg of chicken at $7.85/kg.

h One dozen eggs cost $4.80. Find the cost of 1 egg.

i Find the cost of 10 calculators at $23.50 each.

–

–


1

1

1

1

1

1

1

1

1

1

1

1

page 152Basic arithmetic and the calculatorUNIT 9: TOPIC TEST PART A

Instructions • This part consists of 12 multiple-choice questions

• Each question is worth 2 marks

• Fill in only ONE CIRCLE for each question

• Calculators may be used

Time allowed: 15 minutes Total marks = 12

Total marks achieved for PART A 12

Marks

EXCEL ESSENTIAL SKILLS: YEAR 7 MATHEMATICS REVISION AND EXAM WORKBOOK 1 71

1

1

1

1

1

1

1

1

1

1

1

DCA B

DCA B

1 85416 ×+× equals

112 108 104 102

2 The value of 4

1

3

1

2

1 ++ is

`12

12

12

11

12

13

12

1

3 2.11.624.5 ×+ equals

12.56 13.608 12.61 13.618

4 10259 ××× equals

500 900 1000 2000

541036× equals

360 000 180 000 480 000 720 000

6 ( ) ( )22 2.05.0 − equals

0.25 0.24 0.21 0.215

722 810 − equals

4 5 6 7

8 3

1

3

1 × equals

9

1

3

1

3

2none of these

9 09.09.9 − equals

9.81 9.19 9.081 9.009

10 What is the number 8547 rounded to the nearest hundred?

9000 8600 8550 8500

11 Paper clips cost 60 cents per 100. How many paper clips would $30 buy?

50 500 5000 50 000

12 ( ) =22.0

0.04 0.4 4.0 0.021

DCA B

DCA B

DCA B

DCA B

DCA B

DCA B

DCA B

DCA B

DCA B

DCA B

Basic arithmetic and the calculatorUnit Test PART AInstructions This part consists of 12 multiple-choice questions Each question is worth 1 mark Fill in only ONE CIRCLE for each question Calculators are NOT allowed


Total marks achieved for PART A 12

Marks

Total marks achieved for PART B 15

Marks

Basic arithmetic and the calculatorUnit Test PART B


Instructions This part consists of 15 questions Each question is worth 1 mark Write answers in the answers-only columnTime allowed: 20 minutes Total marks = 15

Questions Answers only

Instructions • This part consists of 15 questions• Each question is worth 2 marks• Write answers in the answers-only column

• Calculators may be used


Questions Answers only

Total marks achieved for PART B 30

Marks

2

2

Simplify the following correct to two decimal places whereapplicable.

1 19365.86.583 ++

2 012.06.93 ÷

3

3

2

5

21

5

32 ×÷

4

4

31

3

12

2

18 −+

5

3513.25

4 ××

6 ( )39.2

7

5

2

30

17 +

Simplify the following correct to one decimal place.

8 ( )3.523.1836.28 ÷+

9 3936 +

1033 6481 −

11 03.015.3695.85 ×−

12 ( )23.28.16

1

+

13

84.4356.38

9620

+

14

2

121960 3 ×+

15

( )38.6

4.8

15.3 2

+


2

2

2

2

2

2

2

2

2

2

2

2

2

Basic arithmetic and the calculatorUNIT 9: TOPIC TEST PART B

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

basic arithmetic and the calculator - … · 2 g − = 23 7 2 h − = 3 2 5 4 i ... a 35×16= b 25...

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