Number worksheet — GCSE Foundation

1.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.

2.Work out 3 + 4 × (−2).

3.Simplify (y³)⁴, giving your answer as a single power of y.

4.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

5.Work out 3/8 of 96.

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

7.Work out 8% of £250.

8.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

9.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.

10.Work out (−36) ÷ (−6) × 2

11.Work out 4π + 2π, giving your answer as a multiple of π.

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

13.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.

14.4ˣ = 64. Work out the value of x.

15.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.