Number worksheet — GCSE Foundation

1.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.

2.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.

3.Write 0.06 as a fraction in its simplest form.

4.Work out the lowest common multiple of 9 and 15.

5.Work out 3π − π, giving your answer as a multiple of π.

6.Work out 3³ + 2⁴.

7.Work out 3 + 4 × 2²

8.A newspaper reports that 48,000 people attended a festival. The figure is correct to the nearest thousand. Which statement about the number of people who attended must be true?

9.Oliver uses his calculator to work out 25% of 80 and writes down 320. Without using a calculator, work out the correct value of 25% of 80.

10.A lift has a safe working load of 500 kg. Four people get in the lift and the lift's display records their total mass as 493 kg, correct to the nearest kg. Decide whether the four people are definitely within the safe working load.

11.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

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

13.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

14.Work out √144

15.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.