Number worksheet — GCSE Foundation

1.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

2.Write 0.005 in standard form.

3.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

4.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.

5.Simplify (y³)⁴, giving your answer as a single power of y.

6.Given that 2⁵ = 32, work out 2⁶.

7.Work out an estimate for 312 × 19, by rounding each number to 1 significant figure.

8.A jug holds 1.25 litres of water. Ella pours in another 400 ml. Work out the total volume, in litres.

9.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.

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

12.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

13.Work out 3³ + 2⁴.

14.Work out 2/5 of 45.

15.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.