Number worksheet — GCSE Foundation

1.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².

2.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.

3.A quiz has 50 questions. Freya answers 10% of them incorrectly. Work out how many questions she answers incorrectly.

4.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

5.Work out 5 + 3 × (9 − 6)

6.Two-digit numbers are formed using the digits 2, 5, 7 and 8, and each digit may be used only once in a number. Work out how many of these two-digit numbers are even.

7.Last year a company made a profit of £5,200,000. Write this amount in standard form.

8.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

9.Work out 2 × (−3 + 7)

10.Write 200 as a product of its prime factors, using index notation.

11.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

12.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.

13.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.

14.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

15.A student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.