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:

$15 + 27$

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:

$3^3$

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:

$5 (4 + 2)$

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:

$2 x + 3 x$

A. 5x
B. 6x
C. x²
D. 6

Answer: A

12. Solve:

$x + 7 = 15$

A. 6
B. 7
C. 8
D. 9

Answer: C

13. Factorize:

$x^2-9$

A. (x − 3)(x + 3)
B. (x − 9)(x + 1)
C. x(x − 9)
D. (x + 9)(x − 1)

Answer: A

14. Solve:

$2 x = 18$

A. 7
B. 8
C. 9
D. 10

Answer: C

15. The value of x in

$3 x - 5 = 16$

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

Proposed 2026 WAEC General Mathematics/Mathematics Objective and Essay Questions and Answers

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:

$7^2$

A. 14
B. 28
C. 49
D. 56

Answer: C

33. Solve:

$x^2=64$

A. ±8
B. ±6
C. 8 only
D. 64

Answer: A

34. The graph of

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

$2^4$

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:

$4 x + 8 = 24$

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

$sin⁡90∘\sin90^\circ$

A. 0
B. 1/2
C. 1
D. 2

Answer: C

50. The value of

$cos⁡0∘\cos0^\circ$

A. 0
B. 1
C. 1/2
D. 2

Answer: B

51. The value of

$tan⁡45∘\tan45^\circ$

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:

$5 x = 45$

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:

$12 - 7$

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:

$2 x + 7 = 25$

ANSWER

$2 x = 25 - 7$ $2 x = 18$ $x = 9$

Answer = 9

QUESTION 3

A rectangle measures 12 cm by 8 cm. Calculate:

(a) Perimeter

(b) Area

ANSWER

Perimeter:

$2 (l + b)$ $2 (12 + 8)$ $40 c m$

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

$4 + 6 + 8 + 10 + 12 = 40$ $405=8\frac{40}{5}=8$

Mean = 8

QUESTION 5

Calculate the simple interest on ₦5,000 at 8% per annum for 3 years.

ANSWER

$SI=PRT100SI=\frac{PRT}{100}$

$SI=5000×8×3100SI=\frac{5000\times8\times3}{100}$ $S I = 1200$

Simple Interest = ₦1,200

QUESTION 6

A right-angled triangle has sides 6 cm and 8 cm. Find the hypotenuse.

ANSWER

a^2+b^2=c^2