Number worksheet — GCSE Foundation

1.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.

2.3.4 × 10⁵ is written as an ordinary number. Work out this number.

3.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

4.Work out √144 − 2 × 3 + √25

5.Work out the total cost of 3 pens at 45p each and one notebook at £2.35. Give your answer in pounds.

6.Find the missing number: ▢ ÷ 15 = 24

7.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.

8.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?

9.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

10.Work out ⁴√81

11.Write 0.36 as a fraction in its simplest form.

12.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

13.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.

14.Write the mixed number 2 1/4 as an improper fraction.

15.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.