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JAMB Mathematics questions: Euclidean geometry

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

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  1. Question 1· 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

  2. Question 2· Euclidean geometry· JAMB

    Diagram for this question

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

    Explanation and discussion

  3. Question 3· Euclidean geometry· JAMB

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

    Explanation and discussion

  4. Question 4· Euclidean geometry· JAMB

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

    Explanation and discussion

  5. Question 5· Euclidean geometry· JAMB

    Find each interior angle of a regular pentagon.

    Explanation and discussion

  6. Question 6· Euclidean geometry· JAMB

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

    Explanation and discussion

  7. Question 7· Euclidean geometry· JAMB

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

    Explanation and discussion

  8. Question 8· 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

  9. Question 9· Euclidean geometry· JAMB

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

    Explanation and discussion

  10. Question 10· Euclidean geometry· JAMB

    Find the sum of the interior angles of a hexagon.

    Explanation and discussion

  11. Question 11· Euclidean geometry· JAMB

    Diagram for this question

    In the diagram, BC is produced to D. Find the angle marked x.

    Explanation and discussion

  12. Question 12· Euclidean geometry· JAMB

    The angles of a quadrilateral are x, 2x, 3x and 4x. Find the largest angle.

    Explanation and discussion

  13. Question 13· Euclidean geometry· JAMB

    Two tangents drawn to a circle from an external point are

    Explanation and discussion

  14. Question 14· Euclidean geometry· JAMB

    Two similar triangles have corresponding sides in the ratio 3 : 5. Find the ratio of their areas.

    Explanation and discussion

  16. Question 16· Euclidean geometry· JAMB

    The interior angles of a polygon add up to 1080°. How many sides has it?

    Explanation and discussion

  17. Question 17· Euclidean geometry· JAMB

    Diagram for this question

    In the diagram, ABCD is a cyclic quadrilateral. Find the angle marked y.

    Explanation and discussion

  18. Question 18· Euclidean geometry· JAMB

    The sum of the interior angles of a regular polygon is 1440°. Find each interior angle.

    Explanation and discussion

  19. Question 19· Euclidean geometry· JAMB

    Angles subtended by the same arc and lying in the same segment of a circle are

    Explanation and discussion

  20. Question 20· Euclidean geometry· JAMB

    The angle between a tangent to a circle and the radius at the point of contact is

    Explanation and discussion

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