Number worksheet — GCSE Higher

1.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

2.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.

3.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.

4.Write down the symbol that makes this statement true: −2/3 ___ −5/6

5.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

6.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

7.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.

8.Write down the exact decimal value of the fraction 1/6.

9.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.

10.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.

11.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³

12.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.

13.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

14.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

15.Simplify ⁴√(16a⁸b¹²)