Number worksheet — GCSE Foundation

1.Which of these numbers lies between −4 and −1 on a number line?

2.Work out (5 + 2) × 3²

3.Write 0.005 in standard form.

4.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.

5.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

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.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.

8.At midday the temperature in the Lake District was 3 °C. By midnight it had fallen to −6 °C. Work out the fall in temperature.

9.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.

10.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.

11.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

12.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.

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

14.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.

15.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?