Number worksheet — GCSE Higher

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

2.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.

3.Work out 100 − 4 × 5²

4.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

5.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.

6.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

7.Work out 3³ + 2⁴.

8.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

9.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

10.A café orders 340 bread rolls at 24p each and 85 cakes at £1.35 each. Work out the total cost of the order.

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

12.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

13.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

14.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.

15.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.