Number worksheet — GCSE Foundation

1.On one night in Manchester the temperature at 3 am was 8 °C below zero and at 9 am it was 3 °C below zero. Write down the warmer of the two readings.

2.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

3.Write 0.0038 in standard form.

4.Estimate the value of √45, giving your answer to the nearest whole number.

5.Round 592.5 to the nearest 10.

6.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.

7.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.

8.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.

9.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.

10.Round 3.947 to 2 decimal places.

11.Write down the symbol that makes this statement true: 6/11 ___ 4/11

12.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.

13.Work out the value of 2⁻⁴

14.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

15.Put these three numbers in order of size, starting with the smallest: 3/8, 0.4, 0.35