Number worksheet — GCSE Foundation

1.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.

2.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

3.Work out 3 + 4 × (−2).

4.Work out the value of 6² − 4³.

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

6.Work out 3 × (−2)² − 5

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

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

9.After a price increase of 10%, a laptop costs £330. Work out the original price.

10.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

11.Work out the value of ∛125.

12.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09

13.A florist has 60 red roses and 84 white roses. She wants to make identical bunches using all the flowers, with the greatest possible number of bunches. Work out how many red roses will be in each bunch.

14.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.

15.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.