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
Practise using scale factors in similar shapes, from missing lengths and scale drawings to area and volume ratio problems.
17 A B C and DEF are similar triangles.

Work out the length of DF.
cm
Scale examples:
615,156,64.2,4.26
Final answer:
10.5
Equivalent answers accepted.
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.
19.5÷2.5 or 19.5×0.4 oe or
4.2×(a)19.5
M1 If using DF ft their answer from part (a)
7.8
2
A1 oe
Total 4 marks
18
e.g. 30×26.8(=804) or
13×25(=325) or
( 26.8-25 ) ×30 or
1.8×30
M1 for finding the total marks for the boys or the total test
marks
e.g. (30×26.8−13×25)÷(30−13) (= 28.1764...) or ('804' - '325') ÷ (30 - 13) (= 28.1764...) or ('804' - '325' ÷ 17) (= 28.1764...) or ((26.8−25)×30)÷17+25 (= 28.1764...) or ′1.8′×30÷17+25(=28.1764…)
M1 for a complete method to find the mean mark for the girls
28.2
3
A1 accept 28.15-28.2 (accept without working)
(Accept 28 from complete working)
Total 3 marks
Here is a scale drawing showing the positions of Paris and Bordeaux.

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.
Scale drawing measurement:
6 cm to 6.4 cm
Straight-line distance:
6×80=480
to
6.4×80=512
Difference from 590 km:
590-512=78
to
590-480=110
Final answer:
78 to 110 km
Working required.