Number worksheet — GCSE Foundation

1.The number of visitors to a museum on Saturday is given as 1,800, correct to the nearest 100. Which of these could not be the actual number of visitors?

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

3.Round 0.006482 to 2 significant figures.

4.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.

5.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.

6.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.

7.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.

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

9.Given that 2⁵ = 32, work out 2⁶.

10.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.

11.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

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

13.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.

14.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.

15.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.