Cambridge Essentials Mathematics Core 8 N2.1 Homework

N2.1 Homework

1 Write each decimal as a fraction in its lowest terms.

a 0.6 b 0.25 c 0.55 d 0.64

e 0.92 f 0.375 g 0.215 h 0.464

2 Change these decimals to mixed numbers. Give your answers in their lowest terms.

a 1.8 b 9.45 c 13.25 d 99.306 e 791.504

3 Change these fractions to decimals. Do not use a calculator.

4 1 7 3 9 a b c d e 5 4 10 8 8

11 19 5 29 43 f g h i j 5 4 2 5 8

4 Use a calculator to write each fraction as a decimal.

1 11 60 89 70 a b c d e 32 16 25 20 32

5 Gina asked some boys in Year 8 which is their favourite sport to watch on television. The table shows the results.

Golf Football Tennis Cricket Motor Racing 15 24 6 10 5

a How many boys did Gina ask?

b What fraction of the total chose golf? Give your answer in its lowest terms.

c Change your answer to part b into a decimal.

d What fraction of the total chose cricket? Give your answer in its lowest terms.

e Change your answer to part d into a decimal. Use a calculator.

Original material © Cambridge University Press 2009 1 Cambridge Essentials Mathematics Core 8 N2.1 Homework

6 a Use a calculator to answer this part.

1 2 3 i Write as a decimal. ii Write as a decimal. iii Write as a decimal. 7 7 7

b What sort of decimals are the answers to part a?

c What do you notice about your answers to part a?

8 9 10 d Predict the decimal forms of , and . 7 7 7

e Check that your predictions in part d are correct.

7 a Convert each fraction into a decimal.

1 5 6 10 9 8 i ii iii iv v vi 4 9 7 15 12 11

b State whether each fraction in part a corresponds to a terminating decimal or a recurring decimal.

8 a Write the fractions in each group with a common denominator.

1 1 1 i , , 8 9 10 A common denominator of , and is 360.

7 4 1 ii , , 18 9 3

4 7 7 iii , , 5 9 8

b Write the original fractions in order of size, largest first.

c Convert the fractions in each group to decimals. You may use a calculator.

9 Which number in each pair is greater? Use a calculator to convert fractions to decimals.

5 5 5 a 0.6 or b 0.3 or c 0.59 or 8 16 9

10 a Write each pair of fractions with a common denominator.

1 5 2 14 2 3 i and ii and iii and 2 6 5 15 3 4

b Find the fraction that is exactly halfway between each pair of fractions.