Middle Years

Worksheet

1

State whether the following are the same as 80\%:

a

\dfrac{80}{10}

b

\dfrac{4}{5}

c

0.8

d

\dfrac{80}{100}\%

2

Express the following percentages as fractions with denominators of 100:

a

17\%

b

6\%

c

43\%

d

20\%

e

92\%

f

55\%

g

100\%

h

71\%

3

Express the following fractions as percentages:

a

\dfrac{1}{100}

b

\dfrac{40}{100}

c

\dfrac{13}{100}

d

\dfrac{69}{100}

e

\dfrac{100}{100}

f

\dfrac{73}{100}

g

\dfrac{120}{100}

h

\dfrac{58}{100}

4

Express the following percentages as simplified fractions:

a

8\%

b

35\%

c

4.5\%

d

15.8\%

e

49.03\%

f

0.02\%

g

0.1\%

5

Express the following fractions as percentages, rounding your answer to two decimal places when necessary:

a

\dfrac{13}{50}

b

\dfrac{11}{20}

c

\dfrac{48}{73}

d

\dfrac{39}{60}

6

Convert the following percentages to decimals:

a

60\%

b

7\%

c

62\%

d

25\%

e

100\%

f

55\%

g

0.07\%

h

0.3\%

i

9.8\%

j

6.42\%

k

18.41\%

l

270\%

m

500\%

7

Convert the following decimals to percentages:

a

0.75

b

0.13

c

0.51

d

1

e

0.9

f

0.4

g

0.051

h

0.009

i

0.077

j

0.274

8

Express the following as percentages:

a

8

b

4

c

2.5

d

1.89

e

10

f

5.09

g

3.125

9

Which is greater: 0.26 or 35\%?

10

Write either <, > or = between the pair of numbers to make the following statements true:

a

\dfrac{1}{3} ⬚ 27\%

b

16\% ⬚ \dfrac{4}{25}

c

\dfrac{1}{8} ⬚ 13\%

11

Express the following mixed numbers as percentages:

a

1\dfrac{4}{5}

b

3\dfrac{7}{10}

c

5\dfrac{1}{4}

d

2\dfrac{7}{20}

12

State whether the following values are the same as 62\dfrac{1}{2}\%:

a

0.63

b

\dfrac{63}{100}

c

0.625

d

\dfrac{5}{8}

13

Express the following percentages as fractions in simplest form. Write your answer as mixed number if necessary.

a

275\%

b

107\%

c

145\%

d

320\%

e

238\%

f

9\dfrac{3}{10}\%

g

27\dfrac{7}{9}\%

h

34.24\%

14

Convert the following to mixed number percentages:

a

\dfrac{2}{9}

b

\dfrac{2}{3}

c

0.\overline{5}

d

0.\overline{3}

15

Express 33\dfrac{1}{3}\% as a simplified fraction.

16

Convert between percentages, fractions and decimals to complete the following tables:

a

Fraction | Decimal | Percentage |
---|---|---|

\dfrac{11}{100} | ||

1.83 | ||

\dfrac{5}{8} |

b

Fraction | Decimal | Percentage |
---|---|---|

\dfrac{1}{2} | ||

0.75 | ||

30\% |

c

Fraction | Decimal | Percentage |
---|---|---|

\dfrac{3}{5} | ||

0.32 | ||

72\% |

d

Fraction | Decimal | Percentage |
---|---|---|

1\dfrac{2}{5} | ||

3.56 | ||

112\dfrac{1}{2}\% |

17

For the following groups of numbers:

i

Rewrite the group as percentages

ii

Hence write the numbers in ascending order.

a

\dfrac{5}{10},\, 100\%,\, 0.3

b

\dfrac{1}{4},\, 60\%,\, 0.3

c

\dfrac{3}{8},\, 20\%,\, 0.8

d

\dfrac{2}{5},\, 38\%,\, 0.49

18

A bushfire moves through an area of land. If 25\% of the land is burned by the bushfire, what proportion of the land, as a decimal, is not burned?

19

Irene spends 27\% of her pocket money each week.

a

Express how much of her pocket money she spends as a decimal.

b

Express how much of her pocket money she saves as a decimal.

20

Patricia and Nadia are among the candidates for a school leadership position. Patricia receives 0.3 votes for every vote cast and Nadia receives 0.6 votes for every vote cast.

a

What was the combined percentage of votes for Patricia and Nadia?

b

What percentage of votes did not go to Patricia?

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