Number worksheet — GCSE Foundation

1.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.

2.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.

3.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

4.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

5.A tin of soup has a mass of 450 g. A bag of potatoes has a mass of 2.6 kg. Work out the total mass, in kilograms.

6.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.

7.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

8.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

9.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

10.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

11.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.

12.The rainfall in a town during April is recorded as 62.4 mm, correct to 1 decimal place. Write down the error interval for the actual rainfall, r mm.

13.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

14.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

15.Write 45,000 in standard form.