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Rational Numbers Review

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Rational Numbers Review

Show your working where needed. Write fractions in their simplest form.

Compare, convert and order

1.Which number is greatest?

0.65
3/5
60%
7/10

2.Write 3/4 as a decimal and as a percentage.

3.Put these fractions in order from smallest to largest: 1/3, 3/4, 1/2, 5/6.

4.Match each fraction to an equivalent fraction.

4/8
10/12
8/12
6/8

5.Choose every pair that shows equivalent fractions.

2/6 and 1/3
3/5 and 6/10
4/8 and 2/3
5/10 and 1/2

6.The bar is divided into 5 equal parts. What fraction of it is shaded?

Calculate with fractions and decimals

7.Calculate 1/4 + 2/4. Give your answer in simplest form.

8.Work out 1/3 + 1/6. Show how you found a common denominator.

9.Zoe pours 1/4 of a litre of juice into a jug, then adds another 1/2 litre. How much juice is in the jug altogether?

10.Estimate first, then calculate 3.4 × 3. Give a sensible estimate and the exact answer.

11.Write the mixed number 3 2/5 as an improper fraction.

12.A tray has 15 equal pieces of fruit. Maia eats 1/5 of the pieces. How many pieces does she eat, and what percentage of the tray is that?

Use rational numbers to solve problems

13.A smoothie recipe uses 0.6 litres of milk for one jug. How much milk is needed to make 4 jugs?

14.Write one way to add fractions with different denominators. Include an example using 1/2 + 1/4.

15.A water bottle holds 1 litre. Oliver drinks 0.35 litres in the morning and 0.4 litres in the afternoon. How much water does he drink altogether, and how much remains?