Number worksheet — GCSE Foundation

1.Work out ⁴√81

2.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

3.In a photo album the ratio of colour photos to black-and-white photos is 9 : 4. Work out the number of black-and-white photos as a fraction of the number of colour photos.

4.In a box of counters the ratio of red counters to blue counters is 4 : 5. What fraction of the counters are blue?

5.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.

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

7.Amelia has 49 boxes of apples with 21 apples in each box. Work out an estimate for the total number of apples, by rounding each number to 1 significant figure.

8.Work out 3.7 × 24.

9.Work out 20 − 8 ÷ 2 + 1

10.A newspaper reports that 48,000 people attended a festival. The figure is correct to the nearest thousand. Which statement about the number of people who attended must be true?

11.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.

12.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².

13.Round 0.006482 to 2 significant figures.

14.A quiz has 50 questions. Freya answers 10% of them incorrectly. Work out how many questions she answers incorrectly.

15.3/5 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.