JAMB and WAEC Mathematics questions: Euclidean geometry

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

1. Question 41· Euclidean geometry· JAMB

   A chord 8 cm long is 3 cm from the centre of a circle. Find the radius.

   • A11 cm
   • B4 cm
   • C7 cm
   • D5 cm

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2. Question 42· Euclidean geometry· WAEC

   Each exterior angle of a regular polygon is 36°. How many sides has the polygon?

   • A8
   • B9
   • C12
   • D10

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3. Question 43· Euclidean geometry· JAMB

   The vertical angle of an isosceles triangle is 40°. Find each base angle.

   • A50°
   • B40°
   • C140°
   • D70°

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4. Question 44· Euclidean geometry· WAEC

   Each interior angle of a regular octagon is

   • A45°
   • B120°
   • C140°
   • D135°

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5. Question 45· Euclidean geometry· WAEC

   In triangle PQR, angle P = 47° and angle Q = 68°. Find angle R.

   • A115°
   • B75°
   • C65°
   • D55°

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6. Question 46· Euclidean geometry· WAEC

   Each interior angle of a regular polygon is 150°. How many sides has it?

   • A10
   • B12
   • C15
   • D8

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7. Question 47· Euclidean geometry· JAMB

   An angle at the centre of a circle is 80°. The angle subtended by the same arc at the circumference is:

   • A40°
   • B80°
   • C100°
   • D160°

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8. Question 48· Euclidean geometry· WAEC

   In a cyclic quadrilateral PQRS, angle P = 75°. Find angle R.

   • A75°
   • B115°
   • C105°
   • D15°

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9. Question 49· Euclidean geometry· JAMB

   Each exterior angle of a regular polygon is 40°. How many sides has the polygon?

   • A10
   • B8
   • C9
   • D12

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10. Question 50· Euclidean geometry· WAEC

    Vertically opposite angles are

    • Aequal
    • Bsupplementary
    • Ccomplementary
    • Dright angles

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11. Question 51· Euclidean geometry· JAMB

    The sum of the exterior angles of any convex polygon is

    • A720°
    • B180°
    • C540°
    • D360°

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    Explanation and discussion