Number worksheet — GCSE Foundation

1.Work out 5⁰ + 5¹ + 5²

2.A board game has 5 different character pieces and 4 different colour tokens. The dragon piece can only be used with the gold token. Work out how many different combinations of one character piece and one colour token are possible.

3.Write down the symbol that makes this statement true: 3/10 ___ 0.3

4.A plank of wood is 5 1/4 m long. Pieces of length 3/4 m are cut from it. Work out how many complete pieces of 3/4 m can be cut from the plank.

5.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.

6.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.

7.A supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.

8.Write 0.36 as a fraction in its simplest form.

9.Josh buys 7 pencils at 85p each. He pays with a £10 note. Work out his change.

10.Simplify x⁶ ÷ x²

11.A charity trek covers 830 miles over roughly 19 days. By rounding each number to 1 significant figure, work out an estimate for the number of miles walked per day.

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

13.Work out √49

14.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

15.Tickets for a fairground ride are sold in packs of 6. Tokens for the dodgems are sold in packs of 10. Yusuf wants to buy the smallest number of packs of each so that he ends up with the same number of ride tickets as dodgem tokens. Work out how many ride tickets that is.