Number worksheet — GCSE Foundation

1.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

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

3.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.

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

5.Which of these numbers lies between −4 and −1 on a number line?

6.Which of these numbers lies between −8 and −5 on a number line?

7.Work out 10% of 30% of £200.

8.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.

9.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.

10.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.

11.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

12.Work out 3³ + 2⁴.

13.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.

14.Write 0.00072 in standard form.

15.Write 260,000 in standard form.