Number worksheet — GCSE Higher

1.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.

2.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

3.Simplify 2³ × 2⁴, giving your answer as a single power of 2.

4.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

5.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

6.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.

7.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.

8.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².

9.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

10.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

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

12.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

13.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

14.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.

15.Work out (−6) + (−4) × 3