WASSCE Geometry & Trigonometry Practice Questions (NaCCA Curriculum)
Geometry and Trigonometry questions reward students who can read a diagram carefully. WASSCE regularly tests angles in polygons and circles, mensuration of solids, bearings and distances, Pythagoras' theorem, and the sine and cosine rules. These SHSMathPro practice questions follow the New NaCCA Curriculum and include the kind of bearing and mensuration word problems that appear in the essay paper.
What WASSCE tests in Geometry & Trigonometry
- Angles, parallel lines and polygons
- Circle theorems and properties
- Mensuration: perimeter, area, surface area and volume
- Pythagoras' theorem and right-angled triangles
- Trigonometric ratios and special angles
- Sine rule and cosine rule
- Bearings, distances and angles of elevation
- Constructions, loci and transformations
Sample Geometry & Trigonometry practice questions
192 Geometry & Trigonometry questions are currently in the SHSMathPro question bank. Answers and step-by-step solutions are shown inside the quiz.
1. ABCD is a cyclic quadrilateral with ∠A = 108°. Find ∠C.
- A. 72°
- B. 108°
- C. 82°
- D. 252°
SHS 3
2. A tangent touches a circle with centre O at point T. What is the angle between the radius OT and the tangent?
- A. 45°
- B. 90°
- C. 180°
- D. 60°
SHS 3
3. AB is a diameter of a circle and C is a point on the circumference. What is the size of angle ACB?
- A. 180°
- B. 90°
- C. 45°
- D. 60°
SHS 3
4. An arc of a circle with centre O subtends an angle of 64° at a point on the circumference. What angle does the same arc subtend at the centre O?
- A. 128°
- B. 32°
- C. 64°
- D. 116°
SHS 3
5. P, Q, R and S lie on a circle. ∠PRQ and ∠PSQ stand on the same arc PQ and are on the same side of PQ. If ∠PRQ = 37°, find ∠PSQ.
- A. 74°
- B. 37°
- C. 53°
- D. 143°
SHS 3
6. From an external point P, two tangents PA and PB are drawn to a circle. If PA = 9 cm, find PB.
- A. 18 cm
- B. 9 cm
- C. 4.5 cm
- D. 81 cm
SHS 3
Geometry & Trigonometry: common questions
- Which trigonometry rules do I need for WASSCE?
- Know the basic sine, cosine and tangent ratios, the special angles (30°, 45°, 60°), and both the sine rule and cosine rule for non-right-angled triangles.
- How are bearings tested in WASSCE?
- Bearings usually appear as a word problem where you sketch the journey, then apply the sine or cosine rule to find a distance or a bearing back to the starting point.
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