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
142 Geometry & Trigonometry questions are currently in the SHSMathPro question bank. Answers and step-by-step solutions are shown inside the quiz.
1. Find the curved surface area of a cylinder with a height of 10 cm and a base radius of 3 cm (using π = 22/7).
- A. 132 cm²
- B. 188.57 cm²
- C. 264 cm²
- D. 282.67 cm²
SHS 1
2. Find the length of an arc of a circle with a radius of 14 cm that subtends an angle of 90° at the center (using π = 22/7).
- A. 11 cm
- B. 22 cm
- C. 44 cm
- D. 88 cm
SHS 1
3. Find the slope (gradient) of a line perpendicular to y = 2x + 4.
- A. 2
- B. -2
- C. 1/2
- D. -1/2
SHS 1
4. Find the supplementary angle to 110°
- A. 70°
- B. 80°
- C. 90°
- D. 180°
SHS 1
5. Find the complementary angle to 35°
- A. 55°
- B. 65°
- C. 90°
- D. 145°
SHS 1
6. A rectangle has a length of 15 cm and a width of 8 cm. Find the length of its diagonal.
- A. 15 cm
- B. 17 cm
- C. 20 cm
- D. 23 cm
SHS 1
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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