2019 WAEC Mathematics Question and Answer: A Complete Prep Guide
If you’re searching for the 2019 WAEC Mathematics question and answer paper, you’re probably staring down a revision deadline with a syllabus that feels bigger than the time you have left. That’s a familiar place to be every WASSCE candidate hits it. The good news: 2019 wasn’t an unusual year. It leaned on the same core topics WAEC tests every year, which means once you understand how those topics were tested, you can predict what similar questions will demand from you, no matter which year’s paper you’re revising.
This guide won’t hand you a photocopy of the 2019 paper WAEC owns that copyright, and the official archive is the right place for the exact questions (linked below). What it will do is walk you through every major topic area that showed up in the 2019 Objective and Theory papers, with fresh practice questions in the same style, so you build the actual skill rather than memorizing one paper’s answers.
How the 2019 WAEC Mathematics Paper Was Structured
WAEC Mathematics (often called “General Mathematics”) is split into two papers sat on the same day:
- Paper 1 (Objective): 50 multiple-choice questions, 1 hour 30 minutes. Covers the full syllabus in short, single-concept questions.
- Paper 2 (Theory/Essay): A mix of compulsory and optional questions requiring full working, 2 hours 30 minutes. Tests the same topics in more depth, with multi-step problems.
Both papers draw from the same topic pool so revising by topic (rather than by “which paper”) is the more efficient way to prepare.
Core Topics That Appeared in 2019 (and Keep Reappearing)
Based on the topic areas confirmed across the 2019 papers, these are the areas worth prioritizing:
1. Surds
2019 included simplification of surd expressions the classic “rationalize the denominator” or “simplify and leave in the form a√b” question type.
Practice question: Simplify (√12 + √27), leaving your answer in the form a√b, where a and b are positive integers. Worked answer: √12 = √(4×3) = 2√3. √27 = √(9×3) = 3√3. Adding: 2√3 + 3√3 = 5√3.
2. Sequences Arithmetic Progression (A.P.)
A recurring 2019 theme was finding an unknown term given that three values form consecutive terms of an A.P., and separately, using the nth-term formula when given the first term and a later term.
Practice question: If 8, k, and 18 are consecutive terms of an Arithmetic Progression, find the value of k. Worked answer: In an A.P., the middle term is the average of its neighbors: k = (8 + 18) ÷ 2 = 13.
Practice question 2: The 5th term of an A.P. is 29 and the first term is 5. Find the common difference. Worked answer: nth term = a + (n−1)d → 29 = 5 + 4d → 4d = 24 → d = 6.
3. Logarithms
Simplifying expressions using log laws (product, quotient, power rules) was tested in 2019’s objective section.
Practice question: Simplify: log₁₀8 − 2log₁₀2 + log₁₀5 Worked answer: log₁₀8 − log₁₀(2²) + log₁₀5 = log₁₀8 − log₁₀4 + log₁₀5 = log₁₀(8÷4) + log₁₀5 = log₁₀2 + log₁₀5 = log₁₀(2×5) = log₁₀10 = 1.
4. Variation
2019 tested joint/inverse variation a quantity varying directly with one variable and inversely with the square of another.
Practice question: M varies directly as x and inversely as the square of y. If M = 4 when x = 8 and y = 2, find M in terms of x and y. Worked answer: M = kx/y². Substitute: 4 = k(8)/(2²) → 4 = 8k/4 → 4 = 2k → k = 2. So M = 2x/y².
5. Circle Theorems (Geometry)
Diagrams involving tangents, the alternate segment theorem, and angles subtended by the same arc appeared repeatedly in the 2019 theory paper.
Key rule to memorize: The angle between a tangent and a chord equals the angle in the alternate segment. Angles subtended by the same arc at the circumference are equal.
6. Probability
Basic probability from a bag/box of colored objects — a staple format.
Practice question: A box contains 4 red, 5 blue, and 6 green pens, all the same size. Find the probability of picking a blue pen at random. Worked answer: Total pens = 4+5+6 = 15. P(blue) = 5/15 = 1/3.
7. Modular Arithmetic
Solving simple congruence equations within a given range was part of the 2019 objective paper.
Practice question: If 5 + y ≡ 3 (mod 7), find the least value of y where 10 ≤ y ≤ 30. Worked answer: y ≡ 3 − 5 ≡ −2 ≡ 5 (mod 7). Values of y in range that satisfy this: 12, 19, 26. Least value = 12.
8. Commercial Arithmetic (Profit & Percentages)
A recurring question type: recalculating profit percentage under a different selling price.
Practice question: A trader sold an item for ₦8,000 and made a profit of 25%. Find the percentage profit if he had sold it for ₦9,600 instead. Worked answer: Cost price = 8,000 ÷ 1.25 = ₦6,400. New profit = 9,600 − 6,400 = ₦3,200. Percentage profit = (3,200 ÷ 6,400) × 100 = 50%.
How to Use This Guide Effectively
- Work through each topic’s practice question before checking the worked answer.
- Where you get stuck, go back to that single topic in your textbook rather than re-reading the whole syllabus.
- Once you’re comfortable with the method, attempt the actual 2019 questions on WAEC’s official e-learning portal or a reputable past-questions site (see below) to test yourself under real exam conditions.
- Time yourself on the objective section 50 questions in 90 minutes means under 2 minutes per question.
Where to Find the Official 2019 Questions
For the exact, word-for-word 2019 paper and WAEC’s official marking scheme:
- WAEC’s own e-learning portal (waeconline.org.ng) hosts official past papers by subject and year.
- Established past-question platforms like myschool.ng and kuulchat.com carry topic-indexed WAEC objective questions, including 2019, with answer discussions.
Conclusion
The 2019 WAEC Mathematics Question and Answer materials can be a valuable resource for students preparing for the WAEC Mathematics examination. By practicing past questions, reviewing correct solutions, and understanding the methods used to solve different problems, students can improve their confidence and exam readiness. Use the 2019 questions alongside regular revision and timed practice to strengthen your mathematics skills and prepare effectively for the exam.
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