Number worksheet — GCSE Foundation

1.Work out 3π − π, giving your answer as a multiple of π.

2.Find the missing number: ▢ ÷ 15 = 24

3.In a fruit basket the ratio of bananas to oranges is 2 : 5. What fraction of the fruit are oranges?

4.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

5.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

6.Which of these statements about −0.7 and −0.25 is true?

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

8.Using only 20p coins and 10p coins, and at least one of each, work out how many different ways there are to make exactly 60p. List the possibilities systematically.

9.Write 0.35 as a fraction in its lowest terms.

10.Work out the highest common factor of 15 and 25.

11.Work out an estimate for 113 + 491, by rounding each number to the nearest 100.

12.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

13.Oliver drives 95 km at an average speed of 50 km/h. Work out an estimate for the time the journey takes, by rounding the distance to the nearest 100 km.

14.Write the mixed number 2 1/4 as an improper fraction.

15.A shape is made by joining a rectangle measuring 10 cm by 6 cm to a semicircle of diameter 6 cm along one of the rectangle's shorter sides. Work out the exact area of the shape, in terms of π.