WAEC 2026 Mathematics Practical Questions and Answers (Specimen)
The WAEC 2026 Mathematics Practical Questions and Answers (Specimen) is designed to help candidates prepare effectively for the upcoming West African Examinations Council practical mathematics paper. This specimen covers key areas such as geometry, mensuration, statistics, trigonometry, algebra, and graphical interpretation. Practicing these questions will improve accuracy, speed, and confidence, ensuring students are well-prepared for the real WAEC 2026 Mathematics practical examination.
Click here to get 2026 WAEC & NECO Questions and Answers
SECTION A: GEOMETRY & CONSTRUCTION
1. Construct triangle ABC where AB = 6 cm, BC = 5 cm, and angle ABC = 60°.
Answer: Use ruler and protractor to measure sides and angle accurately.
2. Bisect angle ABC constructed above.
Answer: Use compass arcs to locate midpoint of the angle.
3. Construct the perpendicular bisector of AB.
Answer: Use compass arcs from A and B.
4. Measure angle BAC.
Answer: Approximately 50° (depending on accuracy).
5. Find the area of triangle ABC.
Answer: ≈ 12.99 cm²
SECTION B: MENSURATION
6. Find the volume of a cube of side 4 cm.
Answer: 64 cm³
7. Calculate the surface area of the cube.
Answer: 96 cm²
8. A cylinder has radius 3 cm and height 7 cm. Find its volume.
Answer: 197.82 cm³
9. Find the curved surface area of the cylinder.
Answer: 131.95 cm²
10. A cone has radius 3 cm and height 4 cm. Find its volume.
Answer: 37.68 cm³
SECTION C: TRIGONOMETRY
11. Find sin 30°.
Answer: 0.5
12. Find cos 60°.
Answer: 0.5
13. Find tan 45°.
Answer: 1
14. Solve: sin x = 0.5 (0° ≤ x ≤ 180°)
Answer: 30°, 150°
15. Find the height of a building if the angle of elevation is 30° and distance is 10 m.
Answer: 5.77 m
SECTION D: STATISTICS
16. Find the mean of: 2, 4, 6, 8, 10
Answer: 6
17. Find the median.
Answer: 6
18. Find the mode of: 3, 3, 5, 7, 7, 7
Answer: 7
19. Calculate range.
Answer: 10 – 2 = 8
20. Construct a bar chart (practical task).
Answer: Draw bars using given values.
SECTION E: ALGEBRA
21. Solve: 2x + 3 = 11
Answer: x = 4
22. Solve: x² = 16
Answer: x = ±4
23. Factorize: x² + 5x + 6
Answer: (x + 2)(x + 3)
24. Expand: (x + 2)(x + 3)
Answer: x² + 5x + 6
25. Solve simultaneous equations:
x + y = 5
x – y = 1
Answer: x = 3, y = 2
SECTION F: GRAPHICAL WORK
26. Plot graph of y = 2x + 1 for x = 0–5
Answer: Straight line graph.
27. Find slope of the graph.
Answer: 2
28. Find y-intercept.
Answer: 1
29. Plot y = x² for x = -2 to 2
Answer: Parabolic curve.
30. Find minimum point.
Answer: (0, 0)
SECTION G: SETS & PROBABILITY
31. Define a set.
Answer: Collection of objects.
32. Find union of A = {1,2} and B = {2,3}
Answer: {1,2,3}
33. Find intersection.
Answer: {2}
34. Probability of getting head in coin toss
Answer: 1/2
35. Probability of even number on die
Answer: 3/6 = 1/2
SECTION H: MEASUREMENT
36. Convert 100 cm to meters
Answer: 1 m
37. Convert 2 kg to grams
Answer: 2000 g
38. Convert 1 hour to seconds
Answer: 3600 sec
39. Calculate speed if distance = 100m, time = 20s
Answer: 5 m/s
40. Find distance if speed = 10 m/s for 5 sec
Answer: 50 m
SECTION I: NUMBER BASES
41. Convert 10₁₀ to base 2
Answer: 1010₂
42. Convert 111₂ to base 10
Answer: 7
43. Add in base 2: 101 + 11
Answer: 1000
44. Convert 25₁₀ to base 5
Answer: 100₅
45. Convert 20₅ to base 10
Answer: 10
SECTION J: LOGARITHMS
46. Evaluate log₁₀ 100
Answer: 2
47. Evaluate log₁₀ 1000
Answer: 3
48. Solve log x = 2
Answer: x = 100
49. Find log₁₀ 1
Answer: 0
50. Find antilog of 2
Answer: 100
SECTION K: VARIATION
51. If y ∝ x and y = 6 when x = 2, find y when x = 5
Answer: 15
52. If y ∝ 1/x, y = 4 when x = 2, find y when x = 8
Answer: 1
53. Express y ∝ x² as equation
Answer: y = kx²
54. Find k if y = 12 when x = 2
Answer: k = 3
55. Find y when x = 4
Answer: 48
SECTION L: MISCELLANEOUS
56. Find LCM of 6 and 8
Answer: 24
57. Find HCF of 12 and 18
Answer: 6
58. Express 0.25 as fraction
Answer: 1/4
59. Solve: 3/4 + 1/2
Answer: 5/4
60. Find percentage of 50 out of 200
Answer: 25%
Conclusion
This WAEC 2026 Mathematics Practical Questions and Answers (Specimen) provides a comprehensive guide covering all major topics expected in the exam. Regular practice with this specimen will help students master practical skills, improve problem-solving abilities, and increase their chances of success in the WAEC 2026 Mathematics examination.
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