Number worksheet — GCSE Foundation

1.2/3 of an amount of money is £30. Work out the amount.

2.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

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

4.In a photo album the ratio of colour photos to black-and-white photos is 9 : 4. Work out the number of black-and-white photos as a fraction of the number of colour photos.

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

6.Which statement about the number 51 is correct?

7.Find the missing number: 17 × ▢ = 391

8.Work out 3³ + 2⁴.

9.A garden has flowers, herbs and vegetables in the ratio 2 : 3 : 4. What fraction of the garden is not vegetables?

10.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

11.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.

12.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.

13.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.

14.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

15.Work out 15% of £40, using 10% and 5%.