WAEC 2026 Mathematics Questions and Answers (May/June) – OBJ & Essay Practice Guide

According to the official exam scheme:

• Paper 1 (Objective):

  • 50 multiple-choice questions (1 mark each)

  • 1½ hours

  • Covers all topics in syllabus

• Paper 2 (Essay/Theory):

  • 13 structured questions (100 marks)

  • 2½ hours

  • Questions in Sections A & B
    Topics include Number & Numeration, Algebra, Geometry, Statistics & Probability, Mensuration, Trigonometry, Matrices, Financial Mathematics.

 Sample Objective (Multiple-Choice) Questions & Answers

1. Which of the following is a factor of x2−5x+6x^2 – 5x + 6x2−5x+6?
A. $x-2$
B. $x-3$
C. $x+2$
D. Both A and B
Answer: D
 Factorization: x2−5x+6=(x−2)(x−3)x^2 – 5x +6 = (x-2)(x-3)x2−5x+6=(x−2)(x−3).

2. What is the LCM of 12 and 18?
A. 36
B. 54
C. 18
D. 24
Answer: A
 LCM (12,18) = 36.

3. If $f(x)=3x+4$, what is $f(2)$?
A. 10
B. 8
C. 6
D. 14
Answer: A
$f(2)=3(2)+4=10$.

4. The probability of an event happening is 0.2. The probability of it not happening is:
A. 0.8
B. 0.2
C. 1.2
D. 0.5
Answer: A
$1-0.2=0.8$.

5. Convert 0.0072 to standard form:
A. 7.2×10−37.2 \times 10^{-3}7.2×10−3
B. 7.2×10−47.2 \times 10^{-4}7.2×10−4
C. 72×10−472 \times 10^{-4}72×10−4
D. 0.72×10−20.72 \times 10^{-2}0.72×10−2
Answer: A

 Sample Essay Questions & Worked Answers

Question 1: Sets and Venn Diagrams

Let
$A=\{2,4,5,7\}$
$B=\{1,2,3,7\}$
$U=\{1,2,3,4,5,6,7\}$

Find:
a) $A\cap B$
b) $B’$ (complement of $B$ in $U$)
c) $(A\cap B’)\cup \{6\}$

Solution:

a) $A\cap B=\{2,7\}$
b) $B’=U-B=\{4,5,6\}$
c) $A\cap B’=\{4,5\}$,
so $(A\cap B’)\cup \{6\}=\{4,5,6\}$.

Question 2: Geometry — Circle Theorems

In the circle below, tangent $TA$ and tangent $TB$ from point $T$ meet circle at A and B. If $\angle AOB=110°$, find $\angle ATB$.

Solution Outline:

1. Radii $OA$ and $OB$ are perpendicular to tangents at points of contact
   ⟹ $\angle OAT=\angle OBT=90°$.

2. In triangle $OAT$ and $OBT$ treat $O,A,B,T$ around the circle.

3. Using cyclic quadrilateral or tangent properties:
   $\angle ATB=180°-\angle AOB$
   = $180°-110°=70°$.

Answer: $\angle ATB=70°$

Question 3: Simple Interest & Percentages

A sum of money grows to ₦1,760 in 2 years at simple interest. If the rate is 10% per annum, find the principal.

Solution:

Simple Interest SI=PRT100SI = \frac{PRT}{100}SI=100PRT​
Total amount = $P+SI=1760$

Interest for 2 years = $P(10\times 2)/100=0.2P$

So, $P+0.2P=1.2P=1760$

P=17601.2=1466.67P = \frac{1760}{1.2} = 1466.67P=1.21760​=1466.67

Answer: ₦1,466.67

 Practice Essay Questions (You Should Try)

1. A triangle has vertices $A(1,2),B(4,6),C(7,2)$.
   a) Find the gradient of AB.
   b) Find the length of BC.
   c) Find the equation of line AC.

2. A distribution of scores:
   10–19: 5
   20–29: 12
   30–39: 8
   40–49: 5
   a) Find the class mark for 20–29.
   b) Estimate the mean.
   c) Find the modal class.

3. The demand and supply functions for a product are $D=50–2x$, $S=10+x$.
   a) Find equilibrium price and quantity.
   b) Interpret results.

 Effective Revision Tips

Know the syllabus thoroughly (Number, Algebra, Geometry, Mensuration, Statistics & Probability, Trigonometry) — these topics are always tested.
Practice past and likely questions to build pattern familiarity.
Time yourself when doing objective questions.
Work through full essay solutions step-by-step — show all workings, as marks are given for method.
Study commonly asked topics: percentages, quadratic equations, circles, sets, probability, simultaneous equations, matrix determinants.

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 IMPORTANT

• The actual WAEC 2026 question paper and official answer key are not publicly released until after the exam and results — and sharing them early is not permitted.

• The examples above are practice and sample questions designed to help you prepare legitimately and improve your score.