Number worksheet — GCSE Foundation

1.Work out √25 + 4² − 12 ÷ 3

2.Which of these statements about −0.7 and −0.25 is true?

3.Simplify 2³ × 2⁴, giving your answer as a single power of 2.

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

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

6.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.

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

8.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.

9.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

10.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

11.Write the fraction 9/25 as a decimal.

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

13.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.

14.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.

15.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.