2025 WASSCE Circle Theorem Questions And Answers (Recommended)

by Wisdom K.E Hammond · August 3, 2025

The Core Mathematics paper of the 2025 WASSCE will be written on Thursday, 11th September, 2025. There is a possibility of WAEC testing WASSCE on the circle theorem. Candidates should revise with these questions on the topic.

All final-year students should try and solve these likely circle theorem questions. Answers have been attached to each question to make it easy for candidates to understand.

2025 WASSCE Circle Theorem Questions And Answers

QUESTION ONE

A

B

and

C

are points on the circumference of a circle, centre

O

Angle

A B C

= 43°.

(a) Find the size of angle

A O C

(b) Give a reason for your answer

Answers

(a) 86°

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(b). The angle at the center is double the angle of the circumference.

QUESTION TWO

Below is a circle with centre $C$ .

$B D$ is a diameter of the circle, and $A$ is a point on the circumference.

What is the size of angle CBA?

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angle in semi circle example

Answers

$B D$ is a diameter of the circle; we know that triangle $B A D$ is confined within the semi-circle.

So we can say that the angle in a semi-circle is a right angle to deduce that $∠ B A D = 90 °$ .

To find $C B A$ , we just need to subtract from

$∠ C B A = 180 ° - 23 ° - 90 ° = 67 °$

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QUESTION THREE

Below is a circle with centre $C$ .

A, B, and $D$ are points on the circumference.

Angle $∠ B C D$ is 126°, and angle $∠ C D A$ is $33 °$ .

Find angle $A B C$ .

You must show your workings.

angle at centre and round a point question

Answer

The angle at the centre is $126 °$ , so;

$∠ B A D = 126 ° \div 2 = 63 °$ .

We now know two out of the four angles inside $A B C D$ .

To find a third, simply observe that angles around a point sum to $360 °$ :

$360 ° - 126 ° = 234 °$

Since the angles in a quadrilateral sum to $360 °$ , we can find the angle we’re looking for.

$∠ A B C = 360 ° - 33 ° - 63 ° - 234 ° = 30 °$

We hope these 2025 WASSCE Circle Theorem Questions and Answers make the core mathematics revision easy.

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📊 Stakeholder Guidance & Contextual Analysis

As developments continue to unfold regarding 2025 WASSCE Circle Theorem Questions And Answers (Recommended), educational administrators, teachers, and candidates across Ghana are advised to follow established guidelines. Aligning school operations with official Ghana Education Service (GES) circulars and Ministry directives remains essential for institutional coherence and academic planning.

Key Directives for Schools and Educators:

Administrative Alignment: School management and district directorates should cross-check official announcements before adjusting operational schedules.
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Frequently Asked Questions (FAQ)

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A: School administrators are advised to incorporate official directives into current term plans while awaiting further formal clarifications. Refer to official channels for exact timelines.

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