CAIE IGCSE Mathematics Core 4 Geometry Topic Practice

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Covered syllabus points

C4.1 Geometrical termsC4.2 Geometrical constructionsC4.3 Scale drawingsC4.4 SimilarityC4.5 SymmetryC4.6 AnglesC4.7 Circle theorems

Question 1

[Maximum number: 2]
NOT TO SCALE

NOT TO SCALE

Question (a)

(a)

The line XY touches the circle at the point R.

Write down the mathematical name for the line XY.

[ 1 ]

Question (b)

(b)

Points P and Q lie on the circle.

Write down the mathematical name for the line PQ.

[ 1 ]

Question 2

[Maximum number: 1]
Figure for Question 2 — CAIE IGCSE Mathematics Core

On the grid, draw a line that is perpendicular to line L.

Question 3

[Maximum number: 7]

Question (a)

(a)

In triangle RST,RT=7 cmR S T, R T=7 \mathrm{~cm} and ST=4 cmS T=4 \mathrm{~cm}.

[ 3 ]

Question (i)

(i)

Using a ruler and compasses only, construct triangle RST.

Leave in your construction arcs.
The line RS has been drawn for you.

R ⟶ SR \text { ⟶ } S
[ 2 ]

Question (ii)

(ii)

Measure the distance from S to the midpoint of RT.

Give your answer in millimetres.
mm\mathrm{mm}

[ 1 ]

Question (b)

(b)

Town A is 8.5 cm from town B on a map.

The scale of the map is 1:50000.
Calculate the actual distance from town A to town B.
Give your answer in kilometres.
km\mathrm{km}

[ 2 ]

Question (c)

(c)
Figure for Question (c) — CAIE IGCSE Mathematics Core

The diagram shows triangle BCE and a straight line ABCD.
BE=CE and angle DCE=118∘DCE=118^\circ.
Find the value of x.
x=

[ 2 ]

Question 4

[Maximum number: 2]

NOT TO SCALE

Triangle ABC is mathematically similar to triangle DEF.
Calculate the value of h.

h=

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