Number worksheet — GCSE Foundation

1.Work out 2/3 × 3/4 exactly, giving your answer in its simplest form.

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

3.The mass of a parcel is 3 kg, correct to the nearest kilogram. Which of these masses is not possible for the parcel?

4.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

5.Work out the value of 2⁻²

6.Work out (−36) ÷ (−6) × 2

7.Work out 3 × (−2)² − 5

8.A tank contains 120 litres of water. Water is drained out at a rate of 8 litres per minute for 6 minutes, and then a hose adds 15 litres. Work out how much water is left in the tank.

9.Round 0.006482 to 2 significant figures.

10.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

11.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.

12.Work out 1/2 of 1/4 of 80.

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

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

15.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.