Number worksheet — GCSE Foundation

1.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.

2.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.

3.Work out 36 ÷ (2 × 3)

4.The rainfall in a town during April is recorded as 62.4 mm, correct to 1 decimal place. Write down the error interval for the actual rainfall, r mm.

5.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.

6.Given that 2⁵ = 32, work out 2⁶.

7.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

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

9.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

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

11.Work out −4.5 + 2.8.

12.Round 3.947 to 2 decimal places.

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

14.Work out √25 + 4² − 12 ÷ 3

15.A minibus can carry 16 passengers. A school is taking 179 pupils on a trip. By rounding 179 to the nearest 10, work out an estimate for the number of minibuses needed, given that the school cannot hire part of a minibus.