Number worksheet — GCSE Higher

1.Work out √144 − 2 × 3 + √25

2.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.

3.A jacket normally costs £65. In a sale it is reduced by 20%, and the shop then takes a further £5 off at the till. Work out the final price.

4.A plank has length a = 12 cm and a second plank has length b = 7 cm, each correct to the nearest centimetre. Work out the upper bound of a + b.

5.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.

6.Work out √3 × √12, giving your answer as an integer.

7.Work out (−36) ÷ (−6) × 2

8.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

9.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.

10.Work out √25 + 4² − 12 ÷ 3

11.Round 592.5 to the nearest 10.

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

13.Work out (2/3)² + (1/2)². Give your answer as a fraction.

14.A netball team has 8 players. Two of them are chosen to be captains, and the two captains have equal standing. Work out how many different pairs of captains could be chosen.

15.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.