Number worksheet — GCSE Foundation

1.In a car park the ratio of vans to cars is 2 : 7. Work out the number of vans as a fraction of the number of cars.

2.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

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

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

5.Tickets for a fairground ride are sold in packs of 6. Tokens for the dodgems are sold in packs of 10. Yusuf wants to buy the smallest number of packs of each so that he ends up with the same number of ride tickets as dodgem tokens. Work out how many ride tickets that is.

6.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.

7.Write down a prime number between 30 and 40.

8.Find the missing number: 17 × ▢ = 391

9.Write down the reciprocal of 0.2

10.Work out an estimate for 113 + 491, by rounding each number to the nearest 100.

11.A cycle route is 350 m long. A footpath runs alongside it for 3/7 of that length. Work out the length of the footpath.

12.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.

13.Given that 2⁵ = 32, work out 2⁶.

14.Work out −6 × (−3).

15.Write down the reciprocal of 5/8