Number worksheet — GCSE Higher

1.Given that 4³ = 64 and 5³ = 125, estimate ∛100 to 1 decimal place.

2.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

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

4.Given that 5³ = 125 and 6³ = 216, use a midpoint test to estimate ∛130 to 1 decimal place.

5.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.

6.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.

7.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².

8.By first working out 2.9², then squaring your result, estimate 2.9⁴ to 2 significant figures.

9.Work out how many factors 36 has.

10.The decimal 0.272727... repeats the block 27 for ever. Write 0.27 recurring as a fraction in its simplest form.

11.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.

12.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.

13.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.

14.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.

15.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?