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[Pages:11]Percentages and The Calculator

Student Book - Series H-1

3.4% of 2560 = ____

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Percentages and the calculator Student Book - Series H

Contents

Topics

Topic 1 - Changing percentages to fractions Topic 2 - Changing fractions to percentages Topic 3 - Changing percentages to decimals Topic 4 - Changing decimals to percentages Topic 5 - Finding the percentage of a quantity Topic 6 - Expressing quantities as percentages Topic 7 - Problem solving and percentages

Practice Tests

Topic 1 - Topic test A Topic 2 - Topic test B

Author of The Topics and Topic Tests: AS Kalra

Date completed

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Percentages and the calculator Mathletics Instant Workbooks ? Series H Copyright ? 3P Learning

CHAPTER 7

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TUoNpiIcT11: :CChahnagningginpgerpceernctaegnetsagtoefsratcotiofrnasctions

QUESTION 1

a 30 % = d 70 % = g 90 % = j 65 % =

Express the following percentages as fractions in simplest form.

b 20 % =

c

e 60 % =

f

h 10 % =

i

k 23 % =

l

50 % = 80 % = 5% = 95 % =

ANSWERS page 1523

QUESTION 2 Use your calculater to convert the following percentages to fractions in simplest form.

a 3.5 % =

b 15.6 % =

c 5.5 % =

d 8.6 % =

e 62.8 % =

f 28.5 % =

g 4.3 % =

h 93.15 % =

i 63.6 % =

j 9.63 % =

k 63.7 % =

l 0.5 % =

QUESTION 3 Use your calculator to change the following percentages to fractions in simplest form.

a 8.53 % =

b 25.63 % =

c 62.4 % =

d 6.25 % =

e 63.9 % =

f 75.6 % =

g 9.2 % =

h 85.7 % =

i 83.4 % =

j 12.8 % =

k 92.85 % =

l 98.5 % =

QUESTION 4

a 63 % = d 56 % = g 45 % = j 76 % =

Convert the following to fractions in simplest form. b 96 % = e 38 % = h 48 % = k 92 % =

c 64 % = f 58 % = i 42 % = l 32 % =

QUESTION 5 Change the following percentages to fractions in simplest form..

a

1%= 2

b

1%= 5

c

d 61%= 2

e 25 1 % =

f

4

g

12 1 % = 2

h

10 1 % = 2

i

1%= 4 20 1 % =

4 45 1 % =

2

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

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Percentages and the calculator

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Perceennttaaggeessaannddtthheeccaalclcuulalatotor r

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QUESTION 1

a

50 = 100

d

30 = 100

g 85 = 100

j 25 = 100

Change the following fractions to percentages.

b

48 = 100

e

36 = 100

h 45 = 100

k 39 = 100

c

60 = 100

f

75 = 100

i 90 = 100

l 84 = 100

QUESTION 2

a 1= 2

d 18 = 10

g

9= 10

j

2= 5

Use your calculator to change the following fractions to percentages.

b 8= 20

c 9= 40

e 6= 50

f 7= 60

h

8= 25

i

9= 80

k

3= 75

l

3= 50

QUESTION 3 Change the following fractions to percentages.

a

1= 4

b

15 = 80

d

9= 60

e

3= 8

g 7= 60

h 4= 5

c

11 = 20

f

3= 40

i 18 = 70

ANSWERS page 1532

QUESTION 4

a

5= 8

d

7= 12

g 3= 5

Express the following as percentages.

b

1= 5

e

7= 8

h 1= 2

c

5= 12

f

2= 3

i 6= 7

74

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

Percentages and the calculator

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Percennttaaggeess aannddtthheeccaalclcuulalatotorr

TUoNpiIcT33: :CChahnagnignginpgeprceerncteagnetsagtoesdetcoimdaelscimals

QUESTION 1

a 20 % = d 60 % = g 25 % = j 70 % =

Express the following percentages as decimals. b 30 % = e 10 % = h 35 % = k 80 % =

c 40 % = f 50 % = i 15 % = l 90 % =

QUESTION 2

a 15 % = d 18 % = g 37 % = j 72 % =

Change the following percentages to decimals. b 29 % = e 83 % = h 26 % = k 81 % =

c 92 % = f 38 % = i 67 % = l 48 % =

QUESTION 3 Convert the following percentages to decimals.

a 3% =

b 2% =

d 5% =

e 8% =

g 1.3 % =

h 5.2 % =

j 2.65 % =

k 10.8 % =

c 7% = f 9% = i 8.9 % = l 9.4 % =

QUESTION 4 Change the following percentages to decimals.

a 48.3 % =

b 63.7 % =

d 92.7 % =

e 53.6 % =

g 61.5 % =

h 69.9 % =

j 32.8 % =

k 42.8 % =

c 10.35 % = f 25.63 % = i 32.85 % = l 49.6 % =

QUESTION 5 Express the following percentages as decimals.

a 25 1 % = 4

b 5%= 4

d

12 1 % = 2

e

20 2 % = 5

g

33 1 % = 3

h

4%= 5

j 21%= 2

k 66 2 % = 3

m

33%= 4

n

3% = 8

p

91%= 4

q

5%= 9

c 41%= 2

f

31 % = 4

i

55%= 6

l 81%= 4

o

93%= 4

r

16 1 % = 2

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

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ANSWERS page 1532

75 3

PPeerrcceennttaaggeessaannddtthheeccaalclcuulalatotor r

Topic 4: Changing decimals to percentages UNIT 4: Changing decimals to percentages

QUESTION 1 a 0.12 = d 0.93 = g 0.42 = j 0.68 =

Express the following decimals as percentages. b 0.34 = e 0.18 = h 0.65 = k 0.75 =

c 0.65 = f 0.83 = i 0.19 = l 0.87 =

QUESTION 2 a 0.70 = d 0.36 = g 0.40 = j 0.01 =

Express the following decimals as percentages. b 0.05 = e 0.09 = h 0.60 = k 0.85 =

c 0.3 = f 0.7 = i 0.05 = l 0.04 =

QUESTION 3 a 0.03 = d 0.05 = g 0.256 = j 0.381 =

Express the following decimals as percentages. b 0.932 = e 0.365 = h 0.839 = k 0.425 =

c 0.007 = f 0.009 = i 0.031 = l 0.045 =

QUESTION 4 a 0.062 = d 0.138 = g 0.342 = j 0.935 =

Change the following decimals to percentages. b 0.861 = e 0.945 = h 0.632 = k 0.969 =

c 0.121 = f 0.234 = i 0.569 = l 0.814 =

QUESTION 5 a 0.123 d 0.328 g 0.935 j 0.289

Convert the following decimals to percentages. b 0.066 e 0.913 h 0.682 k 0.949

c 0.163 f 0.523 i 0.861 l 0.9363

QUESTION 6 a 1.45 d 2.36 g 9.85 j 3.65 m 5.39 p 2.34

Use a calculator to change the following decimals to percentages.

b 2.50

c 3.68

e 3.31

f 5.83

h 4.45

i 8.92

k 6.34

l 3.26

n 9.03

o 7.56

q 8.06

r 8.814

ANSWERS page 1532

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Topic 5: Finding the percentage of a quantity UNIT 5: Finding the percentage of a quantity

QUESTION 1 Evaluate the following.

a 5 % of 60 = c 20 % of 400 = e 35 % of 5000 = g 40 % of 680 = i 60 % of 720 = k 70 % of 350 =

b 10 % of 200 = d 30 % of 900 = f 80 % of 640 = h 50 % of 12 000 = j 45 % of 8000 = l 65 % of 1600 =

QUESTION 2 Work out the following. a 75 % of 248 = c 1 % of 96 = e 2.5 % of 84 = g 8.9 % of 43 = i 5.3 % of 65 = k 62.5 % of 1280 =

b 85 % of 369 = d 6.5 % of 304 = f 3.4 % of 640 = h 55.8 % of 684 = j 72.5 % of 963 = l 38.5 % of 560 =

QUESTION 3 Calculate the following.

a 12.5 % of 64 =

c 37.5 % of 240 =

1

e

33 3

%

of

669 =

g 4.5 % of 950 =

i 3.4 % of 2560 =

k 9.5 % of 990 =

b 85.5 % of 120 = d 92.25 % of 1120 =

f 6.5 % of 1440 =

h 9 % of 860 = j 23.8 % of 600 = l 10.3 % of 750 =

QUESTION 4 Evaluate the following.

a 15 % of 700 =

c 12 % of 96 =

1

e

8 2

%

of

960 =

g 16 % of $360 =

i 60 % of $8 =

k 25 % of 960 =

m 120 % of $120 =

o 110 % of 230 =

b 62 % of $850 = d 15.5 % of 365 days =

f 3.5 % of $90 =

h 40 % of 10 kg = j 300 % of 60 = l 5 % of $2400 = n 90 % of 250 = p 200 % of $350 =

ANSWERS page 153

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

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Perceennttaaggeessaannddtthheeccaalclcuulalatotor r

TUoNpIicT 66: :EExpxrpersessinsginqguaqnutaitnietsitaiesspearscepnetarcgeesntages

QUESTION 1 a Express 10 as a percentage of 500. b Express 12 as a percentage of 90. c Express 64 as a percentage of 256. d What percentage is 80 of $224? e What percentage is 36 of 98?

QUESTION 2 What percentage is: a 30 of 90? c 21 of 70? e 28 of 112? g 25 of 300? i 120 of 480? k 40? of $8?

b 50 of 250? d 4 of 60? f 7 of 49? h 81 of 180? j 20? of $2? l 24 cm of 1.2 m?

QUESTION 3 In the following what percentage is the first quantity of the second?

a 3 m, 9 m

b 8 kg, 48 kg

c 6 s, 60 s

d 5 L, 300 L

e 25 mL, 150 mL

f 100 g, 800 g

g 60 m, 240 m

h 40 min, 240 min

i 36 s, 4 min

j 60 cm, 6 m

k 12 h, 6 days

l $3, 600?

QUESTION 4 What percentage is: a 50? of $8? c 24 min of 4 h? e 80? of $5? g 12 mm of 120 cm? i 45 cm of 72 cm? k 500 g of 7 kg?

m 30? of $3?

o 60 mL of 2.4 L? q 2 h of 16 h?

b $2.50 of $20?

d 250 mL of 3 L?

f $4.50 of $13.50?

h $5 of $25?

j $7.50 of $60?

l $20 of $120?

n

65

min

of

41 3

h?

p 20 cm of 4.8 m?

r 5 L of 60 L?

ANSWERS page 153

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