Number worksheet — GCSE Higher

1.Which of these is written correctly in standard form?

2.A triangle has a base of 8 cm and a perpendicular height of 5 cm, each correct to the nearest centimetre. Work out the upper bound of the area.

3.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

4.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

5.Work out 3³ + 2⁴.

6.Work out the reciprocal of (2 + 3)

7.Work out 3.7 × 24.

8.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.

9.Work out 4368 ÷ 12.

10.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

11.Write 12 as a product of its prime factors.

12.A weather app records the temperature at three points in one day: 6 °C at noon, −2 °C at midnight, and −7 °C just before dawn. Work out the difference between the highest and lowest of these three temperatures.

13.Simplify x⁶ ÷ x²

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

15.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.