Number worksheet — GCSE Higher

1.√700 lies between which two consecutive integers?

2.Work out 36 ÷ (2 × 3)

3.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

4.A lift has a safe working load of 500 kg. Four people get in the lift and the lift's display records their total mass as 493 kg, correct to the nearest kg. Decide whether the four people are definitely within the safe working load.

5.Work out 5⁰ + 5¹ + 5²

6.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.

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

8.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

9.Work out (−2)³ + (−3)² − (−4)

10.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

11.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.

12.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.

13.Work out 1 − 1/2 − 1/4 − 1/8 − 1/16. Give your answer as a fraction.

14.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.

15.A cycle route is 350 m long. A footpath runs alongside it for 3/7 of that length. Work out the length of the footpath.