Number worksheet — GCSE Foundation

1.Work out ⁴√81

2.Write these numbers in order, starting with the smallest: 3, −1, 0, −5

3.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

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

5.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.

6.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

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

8.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.

9.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.

10.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

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

12.Work out 5⁰ + 5¹ + 5²

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

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

15.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.