Number worksheet — GCSE Higher

1.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.

2.Write 0.325 as a fraction in its simplest form.

3.Work out √25 + 4² − 12 ÷ 3

4.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.

5.By first working out 2.9², then squaring your result, estimate 2.9⁴ to 2 significant figures.

6.Write ∛(x²) as a single power of x.

7.Work out 100 − 4 × 5²

8.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

9.Work out 3.7 × 24.

10.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.

11.Find the missing number: 17 × ▢ = 391

12.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.

13.Simplify x⁶ ÷ x²

14.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?

15.4ˣ = 64. Work out the value of x.