Number worksheet — GCSE Higher

1.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

2.Work out the value of 2⁻⁴

3.Write 0.06 as a fraction in its simplest form.

4.Write 200 as a product of its prime factors, using index notation.

5.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.

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

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

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

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

10.Simplify ⁴√(16a⁸b¹²)

11.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.

12.Two-digit numbers are formed using the digits 2, 5, 7 and 8, and each digit may be used only once in a number. Work out how many of these two-digit numbers are even.

13.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.

14.Work out 3³ + 2⁴.

15.The recurring decimal 0.181818... can be written as 0.18 recurring, where both digits repeat forever. Let x = 0.18 recurring. Work out x as a fraction in its simplest form.