Number worksheet — GCSE Foundation

1.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

2.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

3.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

4.A block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.

5.A jacket normally costs £65. In a sale it is reduced by 20%, and the shop then takes a further £5 off at the till. Work out the final price.

6.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

7.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

8.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.

9.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.

10.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

11.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

12.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

13.A sponsored walk raised £350 for charity. 20% of the money raised is spent on equipment. Work out how much is spent on equipment.

14.A spinner has 4 colours and a coin has 2 sides. Work out how many different outcomes are possible when the spinner is spun once and the coin is tossed once.

15.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.