Number worksheet — GCSE Higher

1.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72

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

3.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

4.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

5.Work out √144 − 2 × 3 + √25

6.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.

7.Simplify ⁴√(16a⁸b¹²)

8.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

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

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

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

12.√700 lies between which two consecutive integers?

13.Work out the value of (1/3)⁻²

14.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.

15.A square tile has an area of 72 cm². Work out the exact perimeter of the tile, giving your answer in the form k√2 cm.