Number worksheet — GCSE Higher

1.Work out 4368 ÷ 12.

2.Work out (−6) + (−4) × 3

3.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.

4.A padlock code is formed from 3 different digits chosen from 1, 2, 3, 4, 5 and 6 (no digit may be used twice in the same code). Work out how many different codes can be made.

5.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

6.Work out (5 + 2) × 3²

7.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09

8.Work out 100 − 4 × 5²

9.Work out the exact value of √(2² + 3²)

10.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

11.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?

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

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

15.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.