Number worksheet — GCSE Foundation

1.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.

2.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.

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

4.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.

5.Which of these numbers lies between −8 and −5 on a number line?

6.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

7.Simplify x⁷ × x⁴, giving your answer as a single power of x.

8.Write down the reciprocal of 5/8

9.3/5 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.

10.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.

11.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.

12.Sara has a red T-shirt, a blue T-shirt and a green T-shirt. She has black shorts and grey shorts. By listing the combinations systematically, work out how many different outfits of one T-shirt and one pair of shorts she can make.

13.A jug holds 1.25 litres of water. Ella pours in another 400 ml. Work out the total volume, in litres.

14.Work out 100 − 4 × 5²

15.A bag holds 50 counters. 2/5 of them are red and the rest are blue. 5 red counters are then taken out of the bag. Work out the new ratio of red counters to blue counters. Give your answer in its simplest form.