Number worksheet — GCSE Foundation

1.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.

2.Work out the value of 2⁻²

3.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.

4.The rainfall in a town during April is recorded as 62.4 mm, correct to 1 decimal place. Write down the error interval for the actual rainfall, r mm.

5.In a classroom the ratio of boys to girls is 3 : 4. What fraction of the class are boys?

6.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

7.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

8.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².

9.Four students work out 6 + 2 × 3. Which student has worked it out correctly?

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

11.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.

12.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

13.Four weather stations each recorded their lowest overnight temperature. Which of these readings is the lowest?

14.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.

15.Write 0.06 as a fraction in its simplest form.