Number worksheet — GCSE Higher

1.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.

2.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.

3.Work out 3.7 × 24.

4.A student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.

5.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.

6.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

7.Work out √144 − 2 × 3 + √25

8.Work out the reciprocal of (2 + 3)

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

10.Simplify x⁶ ÷ x²

11.Write 0.06 as a fraction in its simplest form.

12.Work out ⁴√16

13.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.

14.A school orders 187 packed lunches for a trip. Each packed lunch costs £4.85. The school has £900 to spend. By rounding each number to 1 significant figure, work out an estimate for the total cost and decide whether £900 is enough.

15.A plank has length a = 12 cm and a second plank has length b = 7 cm, each correct to the nearest centimetre. Work out the upper bound of a + b.