Number worksheet — GCSE Higher

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

2.Bella's electricity supplier charges 28.5p per unit (kWh). Last month she used 340 units. Work out the total cost, giving your answer in pounds.

3.Given that 4³ = 64 and 5³ = 125, estimate ∛100 to 1 decimal place.

4.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

5.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.

6.Work out (−2)³ + (−3)² − (−4)

7.Work out the value of 2⁻²

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

9.Work out (−3) × 4 + 2 × (−5)

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

11.Round 592.5 to the nearest 10.

12.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

13.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

14.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.

15.£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.