Number worksheet — GCSE Foundation

1.Write 12 as a product of its prime factors.

2.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

3.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

4.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.

5.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

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

7.Work out an estimate for 397 ÷ 21, by rounding each number to 1 significant figure.

8.Josh buys 7 pencils at 85p each. He pays with a £10 note. Work out his change.

9.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.

10.A minibus can carry 16 passengers. A school is taking 179 pupils on a trip. By rounding 179 to the nearest 10, work out an estimate for the number of minibuses needed, given that the school cannot hire part of a minibus.

11.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

12.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.

13.Work out 3/8 of 96.

14.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.

15.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.