Number worksheet — GCSE Foundation

1.Work out 2/5 of 45.

2.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.

3.Write down the reciprocal of 0.2

4.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?

5.Write down the symbol that makes this statement true: 6/11 ___ 4/11

6.A concert hall has 300 seats. 20% of the seats are in the balcony. Work out how many of the seats are in the balcony.

7.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².

8.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.

9.Simplify x⁶ ÷ x²

10.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.

11.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.

12.Write down the reciprocal of 5/8

13.Work out the total cost of 3 pens at 45p each and one notebook at £2.35. Give your answer in pounds.

14.A quiz has 50 questions. Freya answers 10% of them incorrectly. Work out how many questions she answers incorrectly.

15.Write down the value of 3⁰