Number worksheet — GCSE Foundation

1.Write down the decimal that is equal to 3/5.

2.Work out √144 − 2 × 3 + √25

3.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

4.Simplify (y³)⁴, giving your answer as a single power of y.

5.Round 3.947 to 2 decimal places.

6.In a box of counters the ratio of red counters to blue counters is 4 : 5. What fraction of the counters are blue?

7.Round 0.006852 to 2 significant figures.

9.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.

10.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.

11.Work out the value of ∛125.

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

13.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.

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

15.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.