Number worksheet — GCSE Foundation

1.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.

2.Oliver uses his calculator to work out 25% of 80 and writes down 320. Without using a calculator, work out the correct value of 25% of 80.

3.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

4.Work out 3.7 × 24.

5.Tickets to a theme park cost £38.50 for an adult and £19.75 for a child. A family estimates the total cost for 4 adults and 3 children, by rounding each ticket price to the nearest £5. Work out their estimate for the total cost.

6.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

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

8.Work out (2/3)² + (1/2)². Give your answer as a fraction.

9.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.

10.Work out (3 × 5)²

11.Write down the fraction, in its simplest form, that is equal to 0.6

12.Write 0.325 as a fraction in its simplest form.

13.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

14.Find the missing number: 17 × ▢ = 391

15.Write 0.45 as a fraction in its simplest form.