Number worksheet — GCSE Higher

1.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.

2.2/3 of an amount of money is £30. Work out the amount.

3.Round 0.006482 to 2 significant figures.

4.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.

5.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

6.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

7.Work out 35% of 180.

8.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.

9.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

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

11.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

12.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?

13.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

14.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.

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