Number worksheet — GCSE Foundation

1.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.

2.Write down the value of 3⁰

3.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

4.In a choir, 2/9 of the members are boys and the rest are girls. Write down the ratio of girls to boys, in its simplest form.

5.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.

6.Which one of these statements is true?

7.A block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.

8.A vending machine sells 4 types of crisps, 5 types of chocolate bar and 2 types of drink. Work out how many different combinations of one crisp packet, one chocolate bar and one drink can be bought.

9.Put these three numbers in order of size, starting with the smallest: 3/8, 0.4, 0.35

10.Work out −6 × (−3).

11.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.

12.3.4 × 10⁵ is written as an ordinary number. Work out this number.

13.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.

14.Round 0.0759 to 2 decimal places.

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