Number worksheet — GCSE Foundation

1.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.

2.Work out 3³ + 2⁴.

3.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?

4.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

5.Work out the value of 6² − 4³.

6.Simplify x⁷ × x⁴, giving your answer as a single power of x.

7.Write down the symbol that makes this statement true: 0.45 ___ 0.5

8.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

9.Amelia has 49 boxes of apples with 21 apples in each box. Work out an estimate for the total number of apples, by rounding each number to 1 significant figure.

10.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

11.Work out √225 ÷ 3.

12.At a book fair the ratio of fiction books to non-fiction books is 4 : 5. Of the non-fiction books, 3/5 are about history. Work out the fraction of all the books at the fair that are history books.

13.Work out (5 + 2) × 3²

14.Two fair six-sided dice are rolled and their scores are added together. By listing the possible totals systematically, work out how many different totals are possible.

15.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.