Number worksheet — GCSE Foundation

1.Write down the symbol that makes this statement true: 6/11 ___ 4/11

2.Write 260,000 in standard form.

3.Bella's electricity supplier charges 28.5p per unit (kWh). Last month she used 340 units. Work out the total cost, giving your answer in pounds.

4.Write the fraction 9/25 as a decimal.

5.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.

6.Work out 3.7 × 24.

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

8.Work out √144 − 2 × 3 + √25

9.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.

10.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.

11.A cinema has 21 rows of seats with 29 seats in each row. Work out an estimate for the number of people the cinema can hold, by rounding each number to 1 significant figure.

12.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.

13.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.

14.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

15.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.