Number worksheet — GCSE Foundation

1.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.

2.Which of these is equal to 5³?

3.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

4.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?

5.Work out 15% of £40, using 10% and 5%.

6.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

7.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.

8.Round 3.947 to 2 decimal places.

9.Freya types 4² + 3² into her calculator and writes down 49. Work out the correct value of 4² + 3².

10.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?

11.Write 90 as a product of its prime factors.

12.Zoe worked out 3/8 + 1/8 by adding the numerators and the denominators, and got 4/16. Work out the correct value of 3/8 + 1/8, giving your answer in its simplest form.

13.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

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

15.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.