1 Numbers and the number system

1.1 Integers

1.2 Fractions

1.3 Decimals

1.4 Powers and roots

1.5 Set language and notation

1.6 Percentages

1.7 Ratio and proportion

1.8 Degree of accuracy

1.9 Standard form

1.10 Applying number

1.11 Electronic calculators

2 Equations, formulae and identities

2.1 Use of symbols

2.2 Algebraic manipulation

2.3 Expressions and formulae

2.4 Linear equations

2.5 Proportion

2.6 Simultaneous linear equations

2.7 Quadratic equations

2.8 Inequalities

3 Sequences, functions and graphs

3.1 Sequences

3.2 Function notation

3.3 Graphs

3.4 Calculus

4 Geometry and trigonometry

4.1 Angles, lines and triangles

4.2 Polygons

4.3 Symmetry

4.4 Measures

4.5 Construction

4.6 Circle properties

4.7 Geometrical reasoning

4.8 Trigonometry and Pythagoras’ theorem

4.9 Mensuration of 2D shapes

4.10 3D shapes and volume

4.11 Similarity

5 Vectors and transformation geometry

5.1 Vectors

5.2 Transformation geometry

6 Statistics and probability

6.1 Graphical representation of data

6.2 Statistical measures

6.3 Probability

IGCSE Math a 4.11 Similarity Topic Practice

Edexcel IGCSE Math a 4.11 Similarity question practice helps you revise this syllabus point with the course map in view. Use this page to focus on one topic, check the style of questions available, and connect each attempt back to the knowledge area it is testing.

EduNinja keeps Math a practice aligned to Edexcel, so you can move from topic review into exam-style question bank work without losing the syllabus structure. Start with a small set, mark the weak steps, then return to nearby topic links when a definition, graph, calculation, or explanation needs repair.

A plane has a length of 73 metres.
A scale model is made of the plane.
The scale of the model is 1: 200
Work out the length of the scale model.
Give your answer in centimetres.
cm

The diagram shows triangle ABC and triangle ECD

Diagram NOT accurately drawn

ACD and EBC are straight lines.
$A B=10 \mathrm{~cm}$ $A C=8 \mathrm{~cm}$ $E B=5 \mathrm{~cm}$ $C D=14 \mathrm{~cm}$ $E D=w \mathrm{~cm}$

Work out the value of w
Give your answer correct to one decimal place.

Here are three similar quadrilaterals.

Diagram NOT accurately drawn

Work out the length of JK
cm

The diagram shows two water towers in Kuwait.

Diagram NOT accurately drawn

The real height of tower A is 187 m.
The real height of tower B is 147 m.
Ahmed makes a scale model of both towers.
The height of tower A on the scale model is 90 cm.
Work out the height of tower B on the scale model.
Give your answer correct to the nearest centimetre.

[Maximum number: 4]

The diagram shows two similar quadrilaterals, ABCD and EFGH

Diagram NOT accurately drawn

\begin{array}{lll} A B=5 \mathrm{~cm} & B C=4 \mathrm{~cm} & C D=y \mathrm{~cm} \\ E F=x \mathrm{~cm} & F G=10 \mathrm{~cm} & G H=24 \mathrm{~cm} \end{array}

(a)

Work out the value of x

[ 2 ]

(b)

Work out the value of y

[ 2 ]

[Maximum number: 2]

4 A B C and DEF are similar triangles.

Diagram NOT accurately drawn

Work out the length of DE. cm

The area of triangle DEF is $525 \mathrm{~cm}^{2}$

The scale drawing shows the position of a hall and the position of a library.

Scale: 1 cm represents 20 metres

A post box is 140 metres from the library on a bearing of $220^{\circ}$

Use your scale drawing to find

the real distance, in metres, of the hall from the post box,

[Maximum number: 1]

Here are eight shapes drawn on a grid of squares.

Shape A is a polygon.

Write down the letter of this shape.

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.

[Maximum number: 4]

In the diagram, ABC and AED are straight lines. BE is parallel to CD

A E=10 \mathrm{~cm} \quad \text { and } \quad C D=1.5 \times B E

(a)

Work out the length of ED
cm
A B=(2 x+5) cm and B C=(3 x-5) cm

[ 2 ]

(b)

Work out the value of x

[ 2 ]

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Question 1

Question 2

Question 4

Question 7

Question 5

Question 5(a)

Question 5(b)

Question 4(a)

Question 5(b)(i)

Question 4(e)

Question 8

Question 12

Question 12(a)

Question 12(b)