Number worksheet — GCSE Foundation

1.Write down the symbol that makes this statement true: 0.45 ___ 0.5

2.A tin of soup has a mass of 450 g. A bag of potatoes has a mass of 2.6 kg. Work out the total mass, in kilograms.

3.In the number 3.472, work out the value of the digit 7.

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.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.

6.A circle has a radius of 5 cm. Work out the exact circumference of the circle, in terms of π.

7.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?

8.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

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

10.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.

11.Work out the highest common factor of 15 and 25.

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

13.A garden path is measured by Jon as 12 m, correct to the nearest metre, and by Mia as 12.6 m, correct to the nearest 0.1 m. Which statement about the two measurements is correct?

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

15.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.