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Edexcel IGCSE Math A 4.11 Similarity Question Bank

Practise using scale factors in similar shapes, from missing lengths and scale drawings to area and volume ratio problems.

Syllabus
First assessment 2018
Course
Math A 4MA1
Level
Foundation

Exam points

  • use linear scale factors from diagrams or maps to find lengths and real distances
  • convert linear scale factors to area or volume scale factors for similar solids
  • work backwards from surface area or volume information to find a missing value

4.11 Similarity question 1

[Maximum number: 4]

17 A B C and DEF are similar triangles.

Figure for Question 4.11 Similarity question 1 — Edexcel IGCSE Math A Foundation

Question (a)

(a)

Work out the length of DF.
cm

[ 2 ]

Question (b)

(b)

Work out the length of BC.

1830 students in a class sat a Mathematics test.
The mean mark in the test for the 30 students was 26.8

13 of the 30 students in the class are boys.
The mean mark in the test for the boys was 25
Find the mean mark in the test for the girls.
Give your answer correct to 3 significant figures.

[ 2 ]

4.11 Similarity question 2

[Maximum number: 4]

Here is a scale drawing showing the positions of Paris and Bordeaux.

Figure for Question 4.11 Similarity question 2 — Edexcel IGCSE Math A Foundation

Alain drives from Paris to Bordeaux.
The distance that he drives is 590 km .
This distance is greater than the actual straight line distance between Paris and Bordeaux.

How much greater?
Show your working clearly.

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