Number worksheet — GCSE Higher

1.A paint mix is made from white paint and blue paint in the ratio 5 : 3. Priya uses 1.2 litres of blue paint and the matching amount of white paint. Work out the total volume of the mix.

2.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

3.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?

4.Write 0.005 in standard form.

5.Find the missing number: ▢ ÷ 15 = 24

6.Work out ⁴√81

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

8.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.

9.A board game has 5 different character pieces and 4 different colour tokens. The dragon piece can only be used with the gold token. Work out how many different combinations of one character piece and one colour token are possible.

10.Work out 5⁰ + 5¹ + 5²

11.Round 592.5 to the nearest 10.

12.√700 lies between which two consecutive integers?

13.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.

14.Write down the symbol that makes this statement true: −2/3 ___ −5/6

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