JAMB and WAEC Mathematics questions: Euclidean geometry

51 questions with answers and explanations. Tap an option to check yourself.

All JAMB WAEC

Question 1· Euclidean geometry· WAEC
A tangent to a circle meets the radius at the point of contact at
Explanation and discussion
Question 2· Euclidean geometry· JAMB
Two chords AB and CD of a circle intersect at X inside the circle. AX = 4 cm, XB = 6 cm and CX = 3 cm. Find XD.
Explanation and discussion
Question 3· Euclidean geometry· JAMB
In the diagram, the two horizontal lines are parallel. Find the angle marked x.
Explanation and discussion
Question 4· Euclidean geometry· WAEC
The angles of a triangle are x°, 2x° and 3x°. The largest angle is
Explanation and discussion
Question 5· Euclidean geometry· JAMB
The angle between a tangent and a chord at the point of contact equals
Explanation and discussion
Question 6· Euclidean geometry· WAEC
Find the sum of the interior angles of a seven-sided polygon.
Explanation and discussion
Question 7· Euclidean geometry· WAEC
A, B and C lie on a circle with centre O, and C is on the major arc AB. If angle AOB = 130°, find angle ACB.
Explanation and discussion
Question 8· Euclidean geometry· JAMB
The angles of a triangle are in the ratio 2 : 3 : 4. Find the largest angle.
Explanation and discussion
Question 9· Euclidean geometry· WAEC
One angle of a cyclic quadrilateral is 72°. Find the angle opposite to it.
Explanation and discussion
Question 10· Euclidean geometry· WAEC
A polygon has 8 sides. What is the total of its interior angles?
Explanation and discussion
Question 11· Euclidean geometry· WAEC
The angle subtended by an arc at the centre of a circle is 110°. The angle it subtends at the circumference is
Explanation and discussion
Question 12· Euclidean geometry· JAMB
Find each interior angle of a regular pentagon.
Explanation and discussion
Question 13· Euclidean geometry· JAMB
Two angles x and 2x lie on a straight line. Find x.
Explanation and discussion
Question 14· Euclidean geometry· JAMB
The two shorter sides of a right-angled triangle are 9 cm and 12 cm. Find the hypotenuse.
Explanation and discussion
Question 15· Euclidean geometry· JAMB
The angle between a tangent to a circle and a chord drawn from the point of contact is 55°. Find the angle in the alternate segment.
Explanation and discussion
Question 16· Euclidean geometry· WAEC
Opposite angles of a cyclic quadrilateral are
Explanation and discussion
Question 17· Euclidean geometry· WAEC
Find the size of each interior angle of a regular hexagon.
Explanation and discussion
Question 18· Euclidean geometry· WAEC
Two angles of a triangle are 47° and 68°. Find the third angle.
Explanation and discussion
Question 19· Euclidean geometry· JAMB
The base angles of an isosceles triangle are each 50°. Find the third angle.
Explanation and discussion
Question 20· Euclidean geometry· WAEC
An arc of a circle subtends an angle of 110° at the centre. Find the angle it subtends at a point on the remaining part of the circumference.
Explanation and discussion

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JAMB and WAEC Mathematics questions: Euclidean geometry

A tangent to a circle meets the radius at the point of contact at

Two chords AB and CD of a circle intersect at X inside the circle. AX = 4 cm, XB = 6 cm and CX = 3 cm. Find XD.

In the diagram, the two horizontal lines are parallel. Find the angle marked x.

The angles of a triangle are x°, 2x° and 3x°. The largest angle is

The angle between a tangent and a chord at the point of contact equals

Find the sum of the interior angles of a seven-sided polygon.

A, B and C lie on a circle with centre O, and C is on the major arc AB. If angle AOB = 130°, find angle ACB.

The angles of a triangle are in the ratio 2 : 3 : 4. Find the largest angle.

One angle of a cyclic quadrilateral is 72°. Find the angle opposite to it.

A polygon has 8 sides. What is the total of its interior angles?

The angle subtended by an arc at the centre of a circle is 110°. The angle it subtends at the circumference is

Find each interior angle of a regular pentagon.

Two angles x and 2x lie on a straight line. Find x.

The two shorter sides of a right-angled triangle are 9 cm and 12 cm. Find the hypotenuse.

The angle between a tangent to a circle and a chord drawn from the point of contact is 55°. Find the angle in the alternate segment.

Opposite angles of a cyclic quadrilateral are

Find the size of each interior angle of a regular hexagon.

Two angles of a triangle are 47° and 68°. Find the third angle.

The base angles of an isosceles triangle are each 50°. Find the third angle.

An arc of a circle subtends an angle of 110° at the centre. Find the angle it subtends at a point on the remaining part of the circumference.