Number worksheet — GCSE Foundation

1.In a fruit crate the ratio of oranges to lemons is 5 : 6. What fraction of the fruit in the crate are lemons?

2.Work out how many factors 100 has.

3.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.

4.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.

5.A café orders 340 bread rolls at 24p each and 85 cakes at £1.35 each. Work out the total cost of the order.

6.Bella's electricity supplier charges 28.5p per unit (kWh). Last month she used 340 units. Work out the total cost, giving your answer in pounds.

7.Write 5,000,000 in standard form.

8.Which of these statements about −0.7 and −0.25 is true?

9.Work out the highest common factor of 15 and 25.

10.Write 260,000 in standard form.

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

12.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.

13.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

14.Work out 3 + 4 × (−2).

15.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.