Number worksheet — GCSE Foundation

1.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

2.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?

3.Work out (−3) × 4 + 10

4.Round 6.283 to 1 significant figure.

5.Write 260,000 in standard form.

6.In a photo album the ratio of colour photos to black-and-white photos is 9 : 4. Work out the number of black-and-white photos as a fraction of the number of colour photos.

7.Write 12 as a product of its prime factors.

8.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

9.A student works out the exact area of a circle with radius 4 cm by squaring the radius but forgetting to multiply by π. Work out the correct exact area of the circle, in terms of π.

10.Work out the highest common factor of 12 and 18.

11.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.

12.Work out an estimate for 37 × 84, by rounding each number to 1 significant figure.

13.Which one of these statements is true?

14.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

15.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.