Number worksheet — GCSE Foundation

1.A recipe for one cake needs 2/3 of a cup of sugar. Priya has 3 1/2 cups of sugar. Work out how many complete cakes she can make.

2.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.

3.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

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

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

6.Work out 18 − 4 × 2

7.The mass of a parcel is 3 kg, correct to the nearest kilogram. Which of these masses is not possible for the parcel?

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

9.Work out the lowest common multiple of 9 and 15.

10.Write 260,000 in standard form.

11.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?

12.A concrete mix is made from cement and sand in the ratio 3 : 5 by mass. A builder mixes 96 kg of concrete. Work out the mass of cement in the mix.

13.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

14.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.

15.Write the fraction 9/25 as a decimal.