Number worksheet — GCSE Higher

1.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

2.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

3.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

4.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?

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

6.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

7.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.

8.A garden path is measured by Jon as 12 m, correct to the nearest metre, and by Mia as 12.6 m, correct to the nearest 0.1 m. Which statement about the two measurements is correct?

9.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

10.Expand and simplify √3(2 + √12).

11.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72

12.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.

13.A concrete mix is made from cement and sand in the ratio 3 : 5 by mass. A builder mixes 96 kg of concrete. Work out the mass of cement in the mix.

14.Work out (−6) + (−4) × 3

15.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.