Proposed 2026/2027 WAEC/GCE General Mathematics/Mathematics Objective and Essay Questions and Answers
PAPER 1
OBJECTIVE TEST
Time Allowed: 1 Hour 30 Minutes
Instructions to Candidates
- Answer all questions.
- Choose the correct option from A–D.
- Each question carries equal marks.
- Show rough work where necessary.
OBJECTIVE QUESTIONS (1–60)
1. Evaluate:
15+2715+27
A. 40
B. 41
C. 42
D. 43
Answer: C
2. Simplify:
72÷972\div9
A. 6
B. 7
C. 8
D. 9
Answer: C
3. Express 0.25 as a fraction.
A. 1/2
B. 1/4
C. 1/5
D. 2/5
Answer: B
4. Find the value of:
333^3
A. 6
B. 9
C. 18
D. 27
Answer: D
5. Evaluate:
81\sqrt{81}
A. 7
B. 8
C. 9
D. 10
Answer: C
6. The prime factors of 24 are
A. 2 × 2 × 2 × 3
B. 2 × 3 × 4
C. 6 × 4
D. 8 × 3
Answer: A
7. Find the LCM of 6 and 8.
A. 12
B. 18
C. 24
D. 48
Answer: C
8. Evaluate:
34+18\frac{3}{4}+\frac{1}{8}
A. 5/8
B. 7/8
C. 1
D. 9/8
Answer: B
9. Convert 25% to a fraction.
A. 1/2
B. 1/4
C. 3/4
D. 2/5
Answer: B
10. Find the value of:
5(4+2)5(4+2)
A. 20
B. 25
C. 30
D. 35
Answer: C
Proposed 2026/2027 WAEC/GCE General Mathematics/Mathematics Objective and Essay Questions and Answers
11. Simplify:
2x+3x2x+3x
A. 5x
B. 6x
C. x²
D. 6
Answer: A
12. Solve:
x+7=15x+7=15
A. 6
B. 7
C. 8
D. 9
Answer: C
13. Factorize:
x2−9x^2-9
A. (x − 3)(x + 3)
B. (x − 9)(x + 1)
C. x(x − 9)
D. (x + 9)(x − 1)
Answer: A
14. Solve:
2x=182x=18
A. 7
B. 8
C. 9
D. 10
Answer: C
15. The value of x in
3x−5=163x-5=16
is
A. 5
B. 6
C. 7
D. 8
Answer: C
16. A triangle has angles 60°, 50° and
A. 60°
B. 70°
C. 80°
D. 90°
Answer: B
17. The sum of angles in a triangle is
A. 90°
B. 180°
C. 270°
D. 360°
Answer: B
18. The angle in a semicircle is
A. 45°
B. 60°
C. 90°
D. 180°
Answer: C
19. A square has
A. 2 equal sides
B. 3 equal sides
C. 4 equal sides
D. 5 equal sides
Answer: C
20. Find the perimeter of a square of side 8 cm.
A. 16 cm
B. 24 cm
C. 32 cm
D. 64 cm
Answer: C
21. Area of a rectangle is
A=l×bA=l\times b
A. True
B. False
C. Undefined
D. None
Answer: A
22. Find the area of a rectangle measuring 6 cm by 4 cm.
A. 10 cm²
B. 20 cm²
C. 24 cm²
D. 30 cm²
Answer: C
23. The circumference of a circle is
A. True
B. False
C. Undefined
D. None
Answer: A
24. Find the area of a triangle with base 10 cm and heig
ht 8 cm.
A. 20 cm²
B. 30 cm²
C. 40 cm²
D. 50 cm²
Answer: C
25. A straight angle equals
A. 90°
B. 180°
C. 270°
D. 360°
Answer: B
26. The probability of obtaining a head when a fair coin is tossed once is
A. 0
B. 1/4
C. 1/2
D. 1
Answer: C
Proposed 2026 WAEC General Mathematics/Mathematics Objective and Essay Questions and Answers
27. The mean of 2, 4, 6, 8, 10 is
A. 5
B. 6
C. 7
D. 8
Answer: B
28. The median of 3, 5, 7, 9, 11 is
A. 5
B. 6
C. 7
D. 8
Answer: C
29. The mode of 2, 2, 4, 5, 6 is
A. 2
B. 4
C. 5
D. 6
Answer: A
30. Statistics deals with
A. collection and analysis of data
B. crop production
C. electricity
D. measurements only
Answer: A
31. Convert 3/5 to percentage.
A. 40%
B. 50%
C. 60%
D. 70%
Answer: C
32. Evaluate:
727^2
A. 14
B. 28
C. 49
D. 56
Answer: C
33. Solve:
x2=64x^2=64
A. ±8
B. ±6
C. 8 only
D. 64
Answer: A
34. The graph of
is
A. parabola
B. straight line
C. circle
D. ellipse
Answer: B
35. The value of π correct to two decimal places is
A. 3.12
B. 3.14
C. 3.16
D. 3.18
Answer: B
36. Find 20% of 500.
A. 50
B. 80
C. 100
D. 120
Answer: C
37. A ratio of 4:8 simplifies to
A. 1:2
B. 2:3
C. 3:4
D. 4:5
Answer: A
38. The value of
242^4
is
A. 8
B. 12
C. 16
D. 32
Answer: C
39. The volume of a cube is
A. True
B. False
C. Undefined
D. None
Answer: A
40. The sum of interior angles of a quadrilateral is
A. 180°
B. 270°
C. 360°
D. 540°
Answer: C
41. Solve:
4x+8=244x+8=24
A. 2
B. 3
C. 4
D. 5
Answer: C
42. The probability of an impossible event is
A. 0
B. 1
C. 1/2
D. 2
Answer: A
43. Find the simple interest on ₦1,000 at 10% for 2 years.
SI=PRT100SI=\frac{PRT}{100}
A. ₦100
B. ₦150
C. ₦200
D. ₦250
Answer: C
Proposed 2026/2027 WAEC/GCE General Mathematics/Mathematics Objective and Essay Questions and Answers
44. The next term in 2, 4, 6, 8 is
A. 9
B. 10
C. 12
D. 14
Answer: B
45. The HCF of 12 and 18 is
A. 3
B. 4
C. 6
D. 12
Answer: C
46. An obtuse angle is
A. less than 90°
B. exactly 90°
C. greater than 90° but less than 180°
D. 180°
Answer: C
47. A polygon with 8 sides is called
A. hexagon
B. heptagon
C. octagon
D. decagon
Answer: C
48. Evaluate:
23×35\frac{2}{3}\times\frac{3}{5}
A. 2/5
B. 3/5
C. 5/6
D. 1
Answer: A
49. The value of
sin90∘\sin90^\circ
is
A. 0
B. 1/2
C. 1
D. 2
Answer: C
50. The value of
cos0∘\cos0^\circ
is
A. 0
B. 1
C. 1/2
D. 2
Answer: B
51. The value of
tan45∘\tan45^\circ
is
A. 0
B. 1
C. 2
D. √2
Answer: B
52. Find the volume of a cube of side 3 cm.
A. 9 cm³
B. 18 cm³
C. 27 cm³
D. 36 cm³
Answer: C
53. The range of 4, 8, 10, 14 is
A. 8
B. 9
C. 10
D. 12
Answer: C
54. If 5 books cost ₦2,500, one book costs
A. ₦300
B. ₦400
C. ₦500
D. ₦600
Answer: C
55. Solve:
5x=455x=45
A. 7
B. 8
C. 9
D. 10
Answer: C
56. The area of a circle is
A. True
B. False
C. Undefined
D. None
Answer: A
57. Evaluate:
12−712-7
A. 3
B. 4
C. 5
D. 6
Answer: C
58. The coordinates of the origin are
A. (1,1)
B. (0,1)
C. (1,0)
D. (0,0)
Answer: D
59. A right-angled triangle satisfies
A. True
B. False
C. Sometimes
D. Undefined
Answer: A
60. Mathematics is important because it develops
A. logical reasoning skills
B. indiscipline
C. corruption
D. laziness
Answer: A
Proposed 2026/2027 WAEC/GCE General Mathematics/Mathematics Objective and Essay Questions and Answers
PAPER 2
ESSAY QUESTIONS
Time Allowed: 2 Hours 30 Minutes
Instructions to Candidates
- Answer five questions only.
- Show all necessary working.
- All questions carry equal marks.
QUESTION 1
Simplify and evaluate:
34+58\frac{3}{4}+\frac{5}{8}
ANSWER
34=68\frac{3}{4}=\frac{6}{8} 68+58=118\frac{6}{8}+\frac{5}{8}=\frac{11}{8} =138=1\frac{3}{8}
Answer = 1⅜
QUESTION 2
Solve:
2x+7=252x+7=25
ANSWER
2x=25−72x=25-7 2x=182x=18 x=9x=9
Answer = 9
QUESTION 3
A rectangle measures 12 cm by 8 cm. Calculate:
(a) Perimeter
(b) Area
ANSWER
Perimeter:
2(l+b)2(l+b) 2(12+8)2(12+8) 40cm40cm
Area:
12×8=96cm212\times8=96cm^2
Perimeter = 40 cm
Area = 96 cm²
Proposed 2026/2027 WAEC/GCE General Mathematics/Mathematics Objective and Essay Questions and Answers
QUESTION 4
Find the mean of:
4, 6, 8, 10, 12
ANSWER
4+6+8+10+12=404+6+8+10+12=40 405=8\frac{40}{5}=8
Mean = 8
QUESTION 5
Calculate the simple interest on ₦5,000 at 8% per annum for 3 years.
ANSWER
SI=PRT100SI=\frac{PRT}{100}
SI=5000×8×3100SI=\frac{5000\times8\times3}{100} SI=1200SI=1200
Simple Interest = ₦1,200
QUESTION 6
A right-angled triangle has sides 6 cm and 8 cm. Find the hypotenuse.
ANSWER
QUESTION 7
Solve:
x2−25=0x^2-25=0
ANSWER
x2=25x^2=25 x=±5x=\pm5
Answer = ±5
QUESTION 8
A bag contains 5 red balls and 3 blue balls. One ball is selected at random.
Find the probability of selecting:
(a) A red ball
(b) A blue ball
ANSWER
Total balls = 8
(a)
P(Red)=58P(Red)=\frac{5}{8}
(b)
P(Blue)=38P(Blue)=\frac{3}{8}
Answers:
(a) 5/8
(b) 3/8