Number worksheet — GCSE Foundation

1.Which of these units would be most appropriate to use when stating the mass of a small car?

2.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.

3.A country has an area of 25,000,000 hectares. Write this area in standard form.

4.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.

5.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

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

7.Estimate the value of √45, giving your answer to the nearest whole number.

8.Work out 3 + 4 × 2²

9.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

10.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.

11.Write 260,000 in standard form.

12.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

13.Work out 1/2 of 1/4 of 80.

14.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

15.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.