Number worksheet — GCSE Higher

1.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.

2.Work out (−36) ÷ (−6) × 2

3.A school orders 187 packed lunches for a trip. Each packed lunch costs £4.85. The school has £900 to spend. By rounding each number to 1 significant figure, work out an estimate for the total cost and decide whether £900 is enough.

4.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

5.Write 0.325 as a fraction in its simplest form.

6.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

7.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?

8.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

9.A rope is measured as 15 m, correct to the nearest metre. Write down the error interval for the true length, l, of the rope.

10.Write 5/6 as a decimal, showing clearly which digit recurs.

11.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.

12.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.

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

14.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

15.Work out the value of √49 + ∛27