Number worksheet — GCSE Foundation

1.A concrete mix is made from cement and sand in the ratio 3 : 5 by mass. A builder mixes 96 kg of concrete. Work out the mass of cement in the mix.

2.Work out an estimate for 37 × 84, by rounding each number to 1 significant figure.

3.Is 120 divisible by 5? Give a reason for your answer.

4.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

5.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.

6.Simplify x⁷ × x⁴, giving your answer as a single power of x.

7.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

8.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.

9.A coach journey has a 55 minute first leg, a 20 minute break and a 40 minute second leg. The coach leaves at 13:25. Work out the arrival time, using the 24-hour clock.

10.Write 0.0038 in standard form.

11.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

12.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

13.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

14.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.

15.Work out an estimate for 89 + 52, by rounding each number to the nearest 10.