Number worksheet — GCSE Higher

1.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.

3.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.

4.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.

5.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.

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

7.Work out 5⁰ + 5¹ + 5²

8.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.

9.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.

10.Estimate the value of √45, giving your answer to the nearest whole number.

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

12.The recurring decimal 0.181818... can be written as 0.18 recurring, where both digits repeat forever. Let x = 0.18 recurring. Work out x as a fraction in its simplest form.

13.Work out the value of (√5)⁴

14.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.

15.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.