Lemmara logoLemmaraWorked solution

4MA1/2F Jan 2019, Question 1: Converting Fractions to Decimals

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 5 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Convert between fractions, decimals and percentages, shade a given percentage of an octagon split into 8 equal triangles, and find the percentage of train passengers not asleep when 21% are.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 1 mark

Convert the fraction 23/100 into decimal form.

  1. 123 ÷ 100 = 0.23

Answer0.23

Part (b) · 1 mark

Express 0.7 as a percentage.

  1. 10.7 × 100 = 70

Answer70

Part (c) · 1 mark

Write the fraction 1/5 as a decimal.

  1. 11 ÷ 5 = 0.2

Answer0.2

Part (d) · 1 mark

Shade 75% of the octagon divided into 8 equal triangles.

  1. 1The diagram has 8 triangles, 75% of 8 is 6, so shade 6 triangles

Answer6 triangles shaded

Part (e) · 1 mark

Given 21% of train passengers are asleep, find the percentage not asleep.

  1. 1All the people = 100%, so not asleep = 100 − 21 = 79

Answer79

Stuck on a step? Read the free lesson: Converting Fractions to Decimals

Practise more converting fractions to decimals questions

Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on converting fractions to decimals

Also searched as: 4MA1 2F January 2019 · 4MA1/2F · 4ma1 jan19 2f · question 1.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.