Number worksheet — GCSE Foundation

1.Write the fraction 3/4 as a decimal.

2.Freya types 4² + 3² into her calculator and writes down 49. Work out the correct value of 4² + 3².

3.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.

4.Amelia estimates 48 × 21 by working out 50 × 20 = 1,000. Work out whether her estimate is an under-estimate or an over-estimate, and by how much.

5.Write 45,000 in standard form.

6.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

7.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.

8.Work out 3 × (−2)² − 5

9.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

10.Work out (3 × 5)²

11.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

12.A shelf is 60 cm long, correct to the nearest 10 cm. Write down the upper bound for the length of the shelf, in centimetres.

13.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.

14.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.

15.Work out the value of 2⁻⁴