Number worksheet — GCSE Foundation

1.Work out 3 + 4 × (−2).

2.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.

3.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

4.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.

5.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.

6.After a price increase of 10%, a laptop costs £330. Work out the original price.

7.A recipe states that a cake needs 200 g of flour, correct to the nearest 25 g. Work out the smallest possible mass of flour, in grams, that could actually be used.

8.Work out 15% of £40, using 10% and 5%.

9.Work out (−2)³ + (−3)² − (−4)

10.Work out 6² − 4².

11.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

12.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.

13.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.

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

15.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.