WAEC GCE Mathematics questions and answers free solutions 2025– If you’re preparing for the 2025 WAEC GCE Mathematics (Objective/Essay) Questions and Answers, this guide provides all the essential details. You’ll find the 2025 WAEC GCE Mathematics Objective/Essay questions with answers, exam tips, and study resources to help you succeed.
We offer free answers for the WAEC GCE Mathematics (Objective/Essay) exam, making it easy to access the solutions you need. Whether you are preparing for the November/December 2025 exams or need guidance on the exam format, this article will help you effectively.
You can also download the WAEC GCE Mathematics answers for offline study. These solutions are compiled to help you understand the questions and improve your performance in the exam.
Important Dates: The Mathematics 2 (Essay) exam will hold on Saturday, 22nd December 2025, from 9:30 AM to 11:30 AM, followed by the Mathematics 1 (Objective) exam from 11:30 AM to 12:30 PM. Exact schedules will be confirmed by WAEC.
2025 NOV/DEC WAEC GCE Mathematics Obj/Essay Questions and Answers
These WAEC resources are designed to help students understand the exam expectations. Insights from the Chief Examiner and past exam performance are included to highlight common challenges and strategies for success. Review carefully to improve your understanding and exam performance.
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WAEC GCE MATHEMATICS OBJ 2025
*Trace each answers well,*
*It’s shuffled*
*And do well to look closely*
*Question 1:* Evaluate 3 log 2 – 5 log 2.
A. log 8
B. log 32
C. -2 log 2
D. log (1/4)
*Correct Answer: C (-2 log 2)*
*Question 2:* Simplify \frac{1}{2} (\frac{3}{4} – \frac{1}{4}).
A. \frac{1}{4}
B. \frac{1}{2}
C. \frac{1}{8}
D. \frac{3}{8}
*Correct Answer: C (\frac{1}{8})*
*Question 3:* Which of the following numbers is prime? 43, 51.
A. 43
B. 51
C. Both
D. Neither
*Correct Answer: A (43)*
*Question 4:* Factorize p² – q².
A. (p + q)(p – q)
B. p² + q²
C. (p – q)²
D. (p + q)²
*Correct Answer: A ((p + q)(p – q))*
*Question 5:* Simplify \frac{1}{2} y – \frac{1}{3} y.
A. \frac{1}{6} y
B. \frac{5}{6} y
C. \frac{1}{5} y
D. \frac{2}{5} y
*Correct Answer: A (\frac{1}{6} y)*
**Question 6:** Solve the quadratic equation x² – 5x + 6 = 0.
A. x = 2 or x = 3
B. x = 1 or x = 6
C. x = -2 or x = -3
D. x = 0 or x = 5
**Correct Answer: A (x = 2 or x = 3)**
**Question 7:** Simplify (2x – 3y) + (x + 4y).
A. 3x + y
B. x + y
C. 3x – y
D. x – y
**Correct Answer: A (3x + y)**
**Question 8:** Find the value of x in 2x + 3 = 13.
A. 3
B. 5
C. 6
D. 8
**Correct Answer: B (5)**
**Question 9:** Simplify (x – 2)(x + 2).
A. x² – 4
B. x² + 4
C. x² – 2
D. x² + 2
**Correct Answer: A (x² – 4)**
**Question 10:** In an arithmetic progression with first term 2 and common difference 3, find the 3rd term.
A. 5
B. 6
C. 8
D. 11
**Correct Answer: C (8)**
**Question 11:** The shaded portion of the Venn diagram represents:
A. P ∩ Q
B. P ∪ Q
C. P – Q
D. Q – P
**Correct Answer: A (P ∩ Q)**
**Question 12:** An article marked at $480.00 is sold for $432.00. Find the percentage discount.
A. 10%
B. 15%
C. 20%
D. 25%
**Correct Answer: A (10%)**
**Question 13:** The discount on the article is:
A. $24
B. 5%
C. $48
D. 20%
**Correct Answer: B (5%)**
**Question 14:** One-third is subtracted from a number. The square root of the result is 3. Find the number.
A. 9
B. 10
C. 9\frac{1}{3}
D. 10\frac{1}{3}
**Correct Answer: D (10\frac{1}{3})**
**Question 15:** Solve x³ = 8.
A. x = 2
B. x = 4
C. x = 1
D. x = 8
**Correct Answer: A (x = 2)**
**Question 16:** Find the percentage discount on an article marked at $480.00 sold after 5% discount.
A. $24
B. 5%
C. $48
D. 10%
**Correct Answer: B (5%)**
**Question 17:** The perimeter of a rectangle is 54 cm, length 20 cm. Find the width.
A. 7 cm
B. 14 cm
C. 18 cm
D. 34 cm
**Correct Answer: B (14 cm)**
### Geometry Section (Questions 18-26)
**Question 18:** The sum of the interior angles of a polygon is 1620°. How many sides does the polygon have?
A. 9
B. 10
C. 11
D. 12
**Correct Answer: C (11)**
**Question 19:** Find the area of a triangle with sides 5 cm, 12 cm, 13 cm.
A. 25 cm²
B. 30 cm²
C. 35 cm²
D. 60 cm²
**Correct Answer: B (30 cm²)**
**Question 20:** The angles of a quadrilateral are in the ratio 3:4:5:6. Find the smallest angle.
A. 90°
B. 100°
C. 120°
D. 150°
**Correct Answer: A (90°)**
**Question 21:** A trader had 200 coconuts costing GHS 1.50 each. He sold 3/5 at GHS 1.50 each. Find the cost of those sold.
A. GHS 150.00
B. GHS 180.00
C. GHS 200.00
D. GHS 300.00
**Correct Answer: B (GHS 180.00)**
**Question 22:** What percentage of the coconuts were remaining after selling?
A. 30%
B. 40%
C. 50%
D. 60%
**Correct Answer: B (40%)**
**Question 23:** Find the gradient of the line through points with coordinates implying slope -2.
A. 2
B. -1/2
C. 1/2
D. -2
**Correct Answer: D (-2)**
**Question 24:** Find the equation of the line with gradient 2 passing through (3,5).
A. y = 2x – 1
B. y = 2x + 1
C. y = x + 2
D. y = x – 2
**Correct Answer: A (y = 2x – 1)**
**Question 25:** Find the equation of the line through (3,0) and (5,12).
A. y = 6x + 18
B. y = 6x – 18
C. y = 3x – 9
D. y = 3x + 9
**Correct Answer: B (y = 6x – 18)**
**Question 26:** A rod is 11 m long. If 5/8 of it is cut off, find the length of the remaining rod.
A. 6\frac{7}{8} m
B. 5\frac{1}{2} m
C. 4\frac{3}{8} m
D. 4\frac{1}{8} m
**Correct Answer: D (4\frac{1}{8} m)**
### Geometry Section (Questions 27-34)
**Question 27:** Find the length of the arc of a sector with radius 7 cm and central angle 60°.
A. 7 cm
B. \frac{7\pi}{6} cm
C. \frac{7\pi}{3} cm
D. 14\pi cm
**Correct Answer: C (\frac{7\pi}{3} cm)**
**Question 28:** How many diagonals does a quadrilateral have?
A. 1
B. 2
C. 3
D. 4
**Correct Answer: B (2)**
**Question 29:** Find the value of m in the diagram (cyclic quadrilateral or straight line).
A. 80°
B. 110°
C. 90°
D. 70°
**Correct Answer: C (90°)**
**Question 30:** Find the area of triangle LMN with base 6 cm and height 7 cm.
A. 21 cm²
B. 24 cm²
C. 30 cm²
D. 42 cm²
**Correct Answer: A (21 cm²)**
**Question 31:** Find the angle marked using alternate segment theorem.
A. 52°
B. 67°
C. 90°
D. 113°
**Correct Answer: B (67°)**
**Question 32:** Factorize x² – 3x + 2.
A. (x – 1)(x – 2)
B. (x + 1)(x + 2)
C. (x – 3)(x + 1)
D. (x + 3)(x – 1)
**Correct Answer: A ((x – 1)(x – 2))**
**Question 33:** Find the inscribed angle subtended by central angle 120°.
A. 30°
B. 60°
C. 90°
D. 60°
**Correct Answer: D (60°)**
**Question 34:** Find the size of the marked angle in the isosceles triangle diagram.
A. 50°
B. 65°
C. 70°
D. 115°
**Correct Answer: B (65°)**
### Geometry & Statistics Section (Questions 35-47)
**Question 35:** The angle in a semicircle is:
A. 45°
B. 60°
C. 90°
D. 180°
**Correct Answer: C (90°)**
**Question 36:** In a triangle, two angles are 50° and 60°. Find the third angle.
A. 70°
B. 80°
C. 90°
D. 110°
**Correct Answer: A (70°)**
**Question 37:** Find the number of edges of a cube.
A. 6
B. 12
C. 8
D. 24
**Correct Answer: B (12)**
**Question 38:** Find the marked angle with parallel lines (alternate interior).
A. 57°
B. 65°
C. 90°
D. 123°
**Correct Answer: A (57°)**
**Question 39:** Find the angle marked * (co-interior angles).
A. 67°
B. 75°
C. 90°
D. 113°
**Correct Answer: A (67°)**
**Question 40:** In the tangent diagram, find the angle between tangents.
A. 52°
B. 64°
C. 90°
D. 116°
**Correct Answer: C (90°)**
**Question 41:** Find the angle in the right-angled isosceles triangle diagram.
A. 30°
B. 45°
C. 60°
D. 90°
**Correct Answer: B (45°)**
**Question 42:** A cylinder has base area 314 cm² and total surface area 1256 cm². Find the height.
A. 2 cm
B. 10 cm
C. 20 cm
D. 52 cm
**Correct Answer: D (52 cm)**
**Question 43:** Given numbers 1, x, 4 with mean 3, find x.
A. 1
B. 2
C. 3
D. 4
**Correct Answer: B (2)**
**Question 44:** Find the mode of the data: 1, 2, 2, 3, 3, 3, 4.
A. 1
B. 2
C. 3
D. 4
**Correct Answer: C (3)**
**Question 45:** Find the median of 1, 2, 4, 5, 7.
A. 2
B. 4
C. 5
D. 7
**Correct Answer: B (4)**
**Question 46:** From the frequency table, find the mean score (total 75, n=5).
A. 15
B. 16
C. 17
D. 18
**Correct Answer: A (15)**
**Question 47:** Find the mean of the scores 1, 1.5, 2, 2.5, 3.
A. 1.75
B. 2.00
C. 2.25
D. 2.50
**Correct Answer: A (1.75)**
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WAEC 2025/2026 GCE Mathematics Questions and Answers Exam Structure
The WAEC GCE Mathematics paper consists of two sections:
Paper 1 (Objective): Multiple-choice questions covering general mathematics, algebra, geometry, and statistics.
Paper 2 (Essay): Requires written solutions to problems on arithmetic, trigonometry, calculus, and geometry.
Sample WAEC GCE Mathematics Questions and Answers 2025
1. Simplify:
(3×2−2x+1)−(x2+4x−3)(3x^2 – 2x + 1) – (x^2 + 4x – 3)
Answer: 2×2−6x+42x^2 – 6x + 4
2. If sin θ = 3/5, find cos θ.
Answer: cosθ=4/5\cos θ = 4/5
3. Find the simple interest on ₦25,000 for 3 years at 6% per annum.
Answer:
SI=(25,000×6×3)/100=₦4,500SI = (25,000 × 6 × 3)/100 = ₦4,500
4. Find the mean of 10, 15, 20, 25, and 30.
Answer:
Mean = (10+15+20+25+30)/5=20(10 + 15 + 20 + 25 + 30)/5 = 20
Tips to Pass WAEC GCE Mathematics 2025
Study WAEC past questions regularly.
Practice calculations daily to improve speed and accuracy.
Understand basic concepts before moving to advanced topics.
Work on time management during the exam.
Avoid skipping steps when solving essay questions.
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FAQs – WAEC GCE Mathematics Questions and Answers -Nov/dec
Q1. Will the WAEC GCE 2025 Mathematics questions be the same for all candidates?
No. Questions may differ slightly, but they all cover the same topics based on the WAEC syllabus.
Q2. How can I get the free WAEC GCE Mathematics answers for 2025?
Join our Telegram channel or VIP WhatsApp group to receive verified answers before the exam.
Q3. Can I use a calculator during the WAEC GCE Mathematics exam?
Yes, but only non-programmable scientific calculators are allowed.
Q4. When is the WAEC GCE Mathematics exam for 2025?
The exam will be held on Monday, 8th December 2025, as scheduled by WAEC.
Q5. How can I download the WAEC GCE Mathematics questions and answers PDF?
Click the download link provided above to get the 2025 Mathematics questions and answers for offline reading.
