Number worksheet — GCSE Higher

1.Find the missing number: ▢ ÷ 15 = 24

2.Work out 3³ + 2⁴.

3.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.

4.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

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

6.Work out √144 − 2 × 3 + √25

7.A 3-character PIN starts with one letter chosen from A, B, C, D and E, followed by two different digits chosen from 1 to 9 (no digit may be used twice in the same PIN). Work out how many different PINs are possible.

8.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

9.Write 7/12 as a decimal, showing clearly which digit is recurring.

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

11.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

12.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.

13.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

14.The two shorter sides of a right-angled triangle are √12 cm and √24 cm. Work out the exact length of the hypotenuse.

15.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.