Number worksheet — GCSE Foundation

1.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.

2.Work out the value of 2⁻⁴

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

4.In a classroom the ratio of boys to girls is 3 : 4. What fraction of the class are boys?

5.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.

6.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?

7.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

8.A measuring jug shows a volume of 340 ml, correct to the nearest 20 ml. Work out the smallest possible volume in the jug.

9.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.

10.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

11.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.

12.Write 0.36 as a fraction in its simplest form.

13.Write 0.00072 in standard form.

14.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.

15.Work out (2/3)² + (1/2)². Give your answer as a fraction.