WAEC Mathematics 2023 past questions

Checked by the Skolra question team · Last updated 15 October 2026

Ten questions from the 2023 WAEC Mathematics paper, with answers and explanations. We hold 63 questions from this paper, and the Skolra app has all of them.

WAEC Mathematics 2023 questions and answers

1. 1.

   The angle of a sector of a circle of radius 3.4 cm is 115°. Find the area of the sector.

   $(Take \pi = \frac{22}{7})$

   1. A
      166 m
      Correct
   2. B
      164 m
   3. C
      171 m
   4. D
      168 m
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   Answer: A

   By sine rule or cosine rule in question 59, the distance is 166 m.
2. 2.

   The angle of elevation of the top of a building from a point Z on the ground is 50°. If the height of the building is 124 m, find the distance from Z to the foot of the building.

   1. A
      Wrong 2
   2. B
      Wrong 3
   3. C
      Wrong 1
   4. D
      Answer 56a
      Correct
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   Answer: D

   The solution to question 56 demonstrates the mathematical principles required.
3. 3.

   For what value of x is $\frac{ x^2 + 2 }{ 10x^2 - 13x - 3}$ undefined?

   1. A
      45.5
      Correct
   2. B
      46.5
   3. C
      47.5
   4. D
      44.5
   Show answerHide answer

   Answer: A

   Calculating the mean from the frequency distribution yields 45.5.
4. 4.

   make x the subject of the relation $y = \frac{ax^3 - b}{3z}$

   1. A
      Wrong 3
   2. B
      Wrong 1
   3. C
      Wrong 2
   4. D
      Answer 40a
      Correct
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   Answer: D

   The solution to question 40 demonstrates the mathematical principles required.
5. 5.

   The interior angle of a regular polygon is 6 times its exterior angle find the number of sides of the polygon.

   1. A
      76°
   2. B
      78°
      Correct
   3. C
      80°
   4. D
      83°
   Show answerHide answer

   Answer: B

   Using geometric principles and angle theorems, the solution to question 49 part a gives 78°.
6. 6.

   Find the mean deviation of assets of numbers: 14, 15, 16, 17, 18, and 19.

   1. A
      25.5
      Correct
   2. B
      27.5
   3. C
      24.5
   4. D
      26.5
   Show answerHide answer

   Answer: A

   Calculating the mean from the frequency distribution yields 25.5.
7. 7.

   Factorize completely: $x^2 - (y + z)^2$

   1. A
      7
   2. B
      5
      Correct
   3. C
      4
   4. D
      6
   Show answerHide answer

   Answer: B

   The GCD of the given numbers in question 29 is 5.
8. 8.

   Solve $1 + \sqrt[3]{ x - 3} = 4$

   1. A
      48.5
   2. B
      51.5
   3. C
      50.5
   4. D
      49.5
      Correct
   Show answerHide answer

   Answer: D

   Calculating the mean from the frequency distribution yields 49.5.
9. 9.

   If 2x - 3y = -11 and 3x + 2y = 3, evaluate $(y - x)^2$

   1. A
      440 cm³
      Correct
   2. B
      450 cm³
   3. C
      460 cm³
   4. D
      430 cm³
   Show answerHide answer

   Answer: A

   Using volume formulas, the volume in question 15 is 440 cm³.
10. 10.

    a. A car travels a distance of 112 km at an average speed of 70 km/h. it then travels a further 60 km at an average speed of 50 km/h. Calculate, for the entire journey, the total time taken.

    b. if $\frac{x}{y}$ = 2 and $\frac{y}{z}$ = 3, find the value of $\frac{ x + y}{y + z }$

    1. A
       75 m
    2. B
       72 m
    3. C
       70 m
       Correct
    4. D
       68 m
    Show answerHide answer

    Answer: C

    By sine rule or cosine rule in question 11, the distance is 70 m.

The questions come from past JAMB, WAEC and NECO papers. We use software to help write the answer options and explanations, and every answer is checked twice before it goes on the site. How we check

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Practise all 63 questions we hold from the 2023 paper, on a timed CBT screen

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