Number worksheet — GCSE Foundation

1.Work out (5 + 2) × 3²

2.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.

3.Work out (−3) × 4 + 10

4.A circle has a radius of 5 cm. Work out the exact circumference of the circle, in terms of π.

5.Work out 4368 ÷ 12.

6.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.

7.4ˣ = 64. Work out the value of x.

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

9.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

10.In a fruit crate the ratio of oranges to lemons is 5 : 6. What fraction of the fruit in the crate are lemons?

11.Work out the value of 5³.

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

13.Work out 3³ + 2⁴.

14.Work out 2 × (−3 + 7)

15.A supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.