Number worksheet — GCSE Foundation

1.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?

2.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.

3.Which one of these statements is true?

4.Work out 3 × (−2)² − 5

5.In a photo album the ratio of colour photos to black-and-white photos is 9 : 4. Work out the number of black-and-white photos as a fraction of the number of colour photos.

6.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.

7.Work out 100 − 4 × 5²

8.Work out how many factors 36 has.

9.Four students work out 6 + 2 × 3. Which student has worked it out correctly?

10.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

12.Simplify x⁶ ÷ x²

13.Write down the symbol that makes this statement true: −2/3 ___ −5/6

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

15.A pack contains 20 stickers. Noah gives 1/5 of the pack to his sister. Work out how many stickers he gives away.