Number worksheet — GCSE Foundation

1.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.

2.Work out √(4 × 9)

3.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

4.Write down a prime number between 30 and 40.

5.A cinema has 21 rows of seats with 29 seats in each row. Work out an estimate for the number of people the cinema can hold, by rounding each number to 1 significant figure.

6.Four weather stations each recorded their lowest overnight temperature. Which of these readings is the lowest?

7.Work out how many factors 36 has.

8.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09

9.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.

10.Work out −(−3)⁴ + (−3)³

11.Which one of these statements about negative numbers is true?

12.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

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

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 (2/3)² + (1/2)². Give your answer as a fraction.