Number worksheet — GCSE Higher

1.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.

2.Work out 4368 ÷ 12.

3.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

4.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.

5.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?

6.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

7.Without using a calculator, estimate the value of √70 × ∛65, giving your answer to 1 significant figure.

8.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

9.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?

10.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

11.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.

12.Write down the symbol that makes this statement true: −2/3 ___ −5/6

13.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

14.At a swimming pool the ratio of adults to children is 3 : 5. Of the children, 2/5 are boys. What fraction of the people at the pool are boys?

15.The decimal 0.272727... repeats the block 27 for ever. Write 0.27 recurring as a fraction in its simplest form.