Number worksheet — GCSE Higher

1.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.

2.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.

3.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.

4.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.

5.The decimal 0.2333... has one non-recurring digit (the 2) followed by a single recurring digit (the 3), so it can be written as 0.2 recurring 3. Let x = 0.2333... . Work out x as a fraction in its simplest form.

6.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.

7.Work out √3 × √12, giving your answer as an integer.

8.Work out how many factors 36 has.

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

10.Write 7/12 as a decimal, showing clearly which digit is recurring.

11.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?

12.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

13.A school council must choose a committee of 3 pupils from 8 volunteers. The three places on the committee are all the same, so only which pupils are chosen matters. Work out how many different committees could be formed.

14.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

15.Estimate the value of √45, giving your answer to the nearest whole number.