Number worksheet — GCSE Foundation

1.In a car park the ratio of vans to cars is 2 : 7. Work out the number of vans as a fraction of the number of cars.

2.Work out 4368 ÷ 12.

3.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.

4.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.

5.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

6.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.

7.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?

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

9.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

10.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.

11.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

12.A concert hall has 300 seats. 20% of the seats are in the balcony. Work out how many of the seats are in the balcony.

13.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.

14.Write 260,000 in standard form.

15.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.