EDEXCEL GCSE MATHS · FOUNDATION & HIGHER
Exam Practice: Fractions, Decimals and Percentages
Fractions, decimals and percentages · Fractions, ratio and percentages · Lesson 5 of 5 · 10 marks · 20 minutes
Name Date
Answer all questions. Show your working. All questions are non-calculator.
Question 1 NON-CALCULATOR [1 mark]
Write 7/20 as a percentage.
Question 2 NON-CALCULATOR [2 marks]
Write these numbers in order of size, starting with the smallest: ⅔, 0.6, 65%, ⅝
Question 3 NON-CALCULATOR [1 mark]
Explain why 7/40 can be written as a terminating decimal.
Question 4 NON-CALCULATOR · HIGHER [3 marks]
Show that 0.dot4dot5 = 5/11
Question 5 NON-CALCULATOR · HIGHER [3 marks]
Write 0.1dot3dot6 as a fraction in its simplest form.
Answers
Check your answer only once you have written one.
Question 1 [1 mark]
7/20 = 35/100 = 35%
▸ 35% B1
Question 2 [2 marks]
As decimals: 0.666..., 0.6, 0.65, 0.625. Order: 0.6, ⅝, 65%, ⅔.
▸ At least three correctly converted to decimals or percentages M1
▸ 0.6, ⅝, 65%, ⅔ A1
Question 3 [1 mark]
40 = 2³ × 5: its only prime factors are 2 and 5.
▸ A correct explanation referring to the prime factors of 40 being 2 and 5 C1
Question 4 [3 marks]
x = 0.4545…, 100x = 45.4545…, so 99x = 45 and x = 45/99 = 5/11.
▸ 100x = 45.45… written with x = 0.45… M1
▸ 99x = 45 or 45/99 M1
▸ Simplified correctly to 5/11 A1
Question 5 [3 marks]
x = 0.13636…. 1000x = 136.3636… and 10x = 1.3636…. Subtracting: 990x = 135, so x = 135/990 = 3/22.
▸ Two multiples of x with the same recurring tail, e.g. 1000x and 10x M1
▸ 990x = 135 or 135/990 M1
▸ 3/22 A1