Number worksheet — GCSE Foundation

1.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?

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

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

5.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

6.Zoe worked out 3/8 + 1/8 by adding the numerators and the denominators, and got 4/16. Work out the correct value of 3/8 + 1/8, giving your answer in its simplest form.

7.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.

8.Work out 3 × (−2)² − 5

9.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.

10.Write 0.875 as a fraction in its simplest form.

11.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.

12.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.

13.Work out −4.5 + 2.8.

14.Freya types 4² + 3² into her calculator and writes down 49. Work out the correct value of 4² + 3².

15.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.