CAIE IGCSE Mathematics Core Geometry Question Bank
Practise geometric language, constructions, bearings, similarity, symmetry, angle properties, polygons and circle theorems across CAIE IGCSE.
- Syllabus
- 2028–2030
- Topic
- 4
- Level
- Core
Covered syllabus points
4. Geometry question 1
The diagram shows a circle, centre O, radius 11 cm. C, F, G and H are points on the circumference of the circle.
The line AD touches the circle at C and is parallel to the line EG. B is a point on AD and angle .
Question (a)
(a)
Write down the mathematical name of the straight line AD.
[ 1 ]
Question (b)
(b)
Give a reason why angle BCO is .
[ 1 ]
4. Geometry question 2
Draw a line perpendicular to the line AB.
4. Geometry question 3
Roberto and his family fly from London to Los Angeles on a holiday.
Question (a)
(a)
The scale drawing shows the positions of two viewing points, A and B, in the park. The scale is 1 centimetre represents 5 kilometres.
Scale : 1 cm to 5 km
[ 4 ]
Question (i)
(i)
Work out the actual distance between point A and point B. km [2]
[ 2 ]
Question (ii)
(ii)
Point C is 20 km from point A on a bearing of .
On the scale drawing mark the position of point C.
[ 2 ]
4. Geometry question 4
The diagram shows two mathematically similar plant pots.
NOT TO SCALE
The smaller pot has height 21.6 cm and diameter 27 cm.
The larger pot has diameter 33 cm.
Find the height, h, of the larger pot.
h= cm [2]
4. Geometry question 5
A wedding invitation is in the shape of a rectangle.
Draw the lines of symmetry on this rectangle.
4. Geometry question 6
The diagram shows an isosceles triangle.
NOT TO SCALE
Find the value of x.
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