Number worksheet — GCSE Higher

1.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

2.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

3.Find the missing number: 17 × ▢ = 391

4.Work out 3³ + 2⁴.

5.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

6.Find the missing number: ▢ ÷ 15 = 24

7.2/3 of an amount of money is £30. Work out the amount.

8.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

9.A rope is measured as 15 m, correct to the nearest metre. Write down the error interval for the true length, l, of the rope.

10.The two shorter sides of a right-angled triangle are √12 cm and √24 cm. Work out the exact length of the hypotenuse.

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

12.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56

13.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

14.A café orders 340 bread rolls at 24p each and 85 cakes at £1.35 each. Work out the total cost of the order.

15.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.