WAEC 2026 Mathematics Questions and Answers (Objectives/Essay) With PDF

WAEC Mathematics free correct Questions and Answers is now available to help you succeed. A lot of candidates are searching and looking for a way to get WAEC expo/runs in Mathematics, but I tell you, the details on Objectives and theory Mathematics WAEC Questions and Answers provided for you here is the best.

The West African Examination Council (WAEC) Mathematics paper 1 and 11 (Objectives and Essay) schedule is available in the official Timetable. All the necessary materials will be provided by the management board for the smooth running of the exams. To pass WAEC Mathematics with A1, keep reading fore latest news on correct WAEC Mathematics answers.

WASSCE Mathematics past Questions papers has been provided here to help you get ready for the questions that will be presented to you. Likely Mathematics expo questions and Answers and how to answer the questions without wasting time are equally provided.

Table of Contents

Free Mathematics Answers to Objectives Questions

There are free WAEC Mathematics Past Questions and Answers for you. Take your time and make good use of it while waiting for the latest update on Likely Mathematics expo.

The following are Sample WAEC Mathematics Objectives Past Questions and Answers:

1.A notebook of length 15 cm was measured to be 16.8 cm, calculate, correct to two d.p, the percentage error in the measurement.

A. 12.00%
B. 11.21%
C. 10.71%
D. 11.71%

Correct Answer: A (12.00%)

2.M varies jointly as the square of n and square root of q. If M = 24 when n = 2 and q = 4, find M when n = 5, q = 9.

A. 225
B. 400
C. 300
D. 288

Correct Answer: A (M = 225)

3.The length of the diagonal of a square is 12 cm. Calculate the area of the square.

A. 36cm²
B. 48cm²
C. 72cm²
D. 18cm²

Correct Answer: C (72cm²)

4. Solve: log₃x+log₃(x−8)=2

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

Correct Answer: C (9)

5. Write the name of a triangle with the vertices (1, -3), (6, 2) and (0,4)?

A. Equilateral triangle
B. Isosceles triangle
C. Right -angle triangle
D. Scalene triangle

Correct Answer: B (the triangle is Isosceles.)

6. Which of the following points lies on the line 3x – 8y = 11?

A. (-1, -1)
B. (1, -1)
C. (-1, 1)
D. (1, 1)

Answer: B ((1, -1))

7. Examine the range of the following set of numbers: 28, 29, 39, 38, 33, 37, 26, 20, 15, and 25.

A. 27
B. 24
C. 25
D. 22

Answer: B (24)

8. Two opposite sides of a rectangle are (5x + 3) m and (2x + 9) m. If an adjacent side is (6x – 7) m, find in m²
, the area of the rectangle.

A. 125
B. 65
C. 45
D. 165

Answer: B (65)

9. The perimeter of a rectangular garden is 90 m. If the width is 7 m less than the length, find the length of the garden.

A. 24 m
B. 23 m
C. 19 m
D. 26 m

Answer: D (26m)

10. The following are the masses (in kg) of members in a club: 59, 44, 53, 49, 57, 40, 48, and 50. Calculate the mean mass.

A. 40 kg
B. 50 kg
C. 44 kg
D. 53 kg

Answer: B (50 kg)

11.The fourth and eighth terms of an Arithmetic Progression are 16 and 40 respectively. Find the common difference.

A. – 6
B. 6
C. -2
D. 2

Answer: B (6)

12.Find the range of the following set of numbers: 28, 29, 39, 38, 33, 37, 26, 20, 15, and 25.

A. 22
B. 24
C. 25
D. 27

Answer: B (24)

13. Which of the following points lies on the line 3x – 8y = 11?

A. (1, 1)
B. (1, -1)
C. (-1, 1)
D. (-1, -1)

Answer: B ((1, -1))

14.

In the diagram $\bar{T U}$ is a tangent to the circle SPQR at P. If $∠$ PTS = 44º, $∠$ SQP = 35º, find $∠$ PST

A. 101º
B. 125º
C. 130º
D. 135º

Answer: A (101º)

15.A cliff on the bank of a river 87 m high. A boat on the river is 22 m away from the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff.

A. 76 $^{o}$
B. 64 $^{o}$
C. 36 $^{o}$
D. 24 $^{o}$

Answer: A (76 $^{o}$

16.A die is tossed once. Find the probability of getting a prime number.

A. $\frac{1}{2}$
B. $\frac{1}{6}$
C. $\frac{1}{3}$
D. $\frac{2}{3}$

Answer: A ( $\frac{1}{2}$

17.The area of a sector of a circle with radius 7cm is 51.3 cm $^{2}$ . Calculate, correct to the nearest whole number, the angle of the sector. (Take $π$ = $\frac{22}{7}$ )

A. 60 $^{0}$
B. 120 $^{0}$
C. 150 $^{0}$
D. 150 $^{0}$

Answer: B (120 $^{0}$

18. Two opposite sides of a rectangle are (5x + 3) m and (2x + 9) m. If an adjacent side is (6x – 7) m, find in m²
, the area of the rectangle.

A. 45
B. 65
C. 125
D. 165

Answer: B (65)

19.The perimeter of a rectangular garden is 90 m. If the width is 7 m less than the length, find the length of the garden.

A. 19 m
B. 23 m
C. 24 m
D. 26 m

Answer: D (26 m)

20. Four of the angles of a hexagon sum up to 420º. If the remaining angles are equal, find the value of each of the angles.

A. 60 $^{O}$
B. 100 $^{O}$
C. 120 $^{O}$
D. 150 $^{O}$

Answer: D (150 $^{O}$ )

21. The following are the masses (in kg) of members in a club: 59, 44, 53, 49, 57, 40, 48, and 50. Calculate the variance of the distribution.

A. 35
B. 36
C. 40
D. 50

Answer: A (35)

22.The following are the masses (in kg) of members in a club: 59, 44, 53, 49, 57, 40, 48, and 50. Calculate the mean mass.

A. 44 kg
B. 50 kg
C. 40 kg
D. 53 kg

Answer; B (50 kg)

23. The gradient of the line joining the points P(2, -8) and Q(1, y) is -4. Find the value of y

A. 2
B. 4
C. -4
D. -3

Answer: C (-4)

24.

Find, correct to the nearest whole number, the value of h in the diagram above.

A. 15 m
B. 22 m
C. 23 m
D. 18 m

Answer: C (23 m)

25.A cone and a cylinder are of equal volume. The base radius of the cone is twice the radius of the cylinder. What is the ratio of the height of the cylinder to that of the cone?

A. 5: 4
B. 4: 3
C. 3: 2
D. 3: 4

Answer: B (4: 3)

26.

In the diagram above, JKL is a tangent to the circle GHIK at K.

A. 93º
B. 55º
C. 42º
D. 23º

Answer: B (55º)

27.The number 1621 was subtracted from 6244 in base x. If the result was 4323, find x.

A. Seven
B. Eight
C. Nine
D. Ten

Answer: A (Seven)

28. The length and breadth of a cuboid are 15 cm and 8 cm respectively. If the volume of the cuboid is 1560 cm $^{3}$ , calculate the total surface area.

A. 976cm $^{2}$
B. 838cm $^{2}$
C. 792cm $^{2}$
D. 746cm $^{2}$

Answer: B (838cm $^{2}$ )

29.Factorize completely: 27x $^{2}$ – 48y $^{2}$

A. 3(3x + 4y)(3x – 4y)
B. 3(3x + 4y)(3x + 4y)
C. 3(9x – 16y)(9x + 16y)
D. 3(9x – 16y)(9x – 16y)

Answer: A (3(3x + 4y)(3x – 4y))

30.Given that P is 25 m on a bearing of 330º from Q, how far south of P is Q?

A. 25.2 m
B. 21.7 m
C. 19.8 m
D. 18.5 m

Answer: B (21.7 m)

31.A car valued at $ 600,000.00 depreciates by 10% each year. What will be the value of the car at the end of two years?

A. $ 120,000.00
B. $ 480,000.00
C. $ 486,000.00
D. $ 540,000.00

Answer: C ($ 486,000.00)

32.A ladder 15 m long leans against a vertical pole, making an angle of 72º with the horizontal. Calculate, correct to one decimal place, the distance between the foot of the ladder and the pole.

A. 15.8 m
B. 14.3 m
C. 4.9 m
D. 4.6 m

Answer: D (4.6 m)

33.A piece of rod of length 44 m is cut to form a rectangular shape such that the ratio of the length to the breadth is 7: 4. Find the breath.

A. 8m
B. 14m
C. 16m
D. 24m

Answer: A (8m)

34.If 3x – 2y = – 5 and x + 2y = 9, find the value of ( $\frac{x - y}{x + y}$

A. $\frac{5}{3}$
B. $\frac{3}{5}$
C. $\frac{- 3}{5}$
D. $\frac{- 5}{3}$

Answer: C ( $\frac{- 3}{5}$

35.The interior angle of a regular polygon is 168º. Find the number of sides of the polygon.

A. 24
B. 30
C. 15
D. 12

Answer: B (30)

36.If (3 – 4 $\sqrt{2}$ )(1 + 3 $\sqrt{2}$ ) = a + b $\sqrt{2}$ , find the value of b

A. -5
B. 5
C. -21
D. 21

Answer: B (5)

37.Find the sum for which $ 1,250.00 will amount to $ 2,031.25 at 12.5% per annum simple interest.

A. 2 years
B. 3 years
C. 4 years
D. 5 years

Answer: B (5 years)

38. The population of a town increases by 3% every year. In the year 2000, the population was 3000. Find the population in the year 2003.

A. 3,182
B. 3,278
C. 6,591
D. 7,515

Answer: B (3,278)

39. A trader gave a change of # 540.00 instead of # 570.00 to a customer. Caculate the percentage error.

A. 5( $\frac{5}{19}$ %
B. 5( $\frac{5}{9}$ %
C. 5( $\frac{7}{19}$ %
D. 5( $\frac{7}{9}$ %

Answer: A (5( $\frac{5}{19}$ %)

40.Simplify: (2p – q) $^{2}$ – (p + q) $^{2}$

A. 3p(p – 2q)
B. 2p(p – 3q)
C. 3p(2p – q)
D. 2p(3p – q)

Answer: A ( 3p(p – 2q)

41.The first term of an Arithmetic Progression (A.P) is 2 and the last term is 29. If the common difference is 3, how many terms are in the A.P.?

A. 8
B. 9
C. 10
D. 11

Answer: C (10)

42.Given that P = {p: 1< p < 20}, where p is an integer and R = {r : 0 $\leq$ r $\leq$ 25, where r is a multiple of 4}. Find P ∩ R

A. {4, 8, 10, 16}
B. {4, 8, 12, 16}
C. {4, 8, 12, 16, 20}
D. {4, 8, 12, 16, 20, 24}

Answer: B ({4, 8, 12, 16})

Essay Mathematics Questions for WAEC

Below are WAEC Maths Theory Past Questions and Answers:

SECTION B

(a) In the diagram above, ABT is a circle centre O. $\bar{P Q}$ is a tangent to the circle at T and ABC is a straight line. $\bar{T C}$ bisects $∠$ BTQ, $∠$ BAT = 44º and $∠$ PTA = 60º. Find $∠$ ACT

(b) The circumference of the base of a cylindrical tank is 11 m. The height of the tank is 3 m more than 6 times the base radius. Calculate the:

(i) radius; (ii) height; (iii) volume of the tank.

2. a) In a man’s will, he gave $\frac{2}{5}$ of the total acres of the farm to the wife and $\frac{1}{3}$ of what is left to the family. The rest of the farm was to be shared amongst his three children in the ratio 3: 5: 2. Given that, the child who had the least share received 8 acres, calculate the:

(i) total acres the man left.

(ii) number of acres the wife received.

(b) The price of a Television set is $1,600.00. It can be purchased by a deposit of $400.00 and the rest of the amount paid by 12 monthly installments at 25% per annum simple interest. If the Television set is purchased by installment, find the total cost.

Q3.Two observers Abu and Badu, 46 m apart, observe a bird on a vertical pole from the same side of the bird. The angles of elevation of the bird from Abu’s and Badu’s eye are 40º and 48º respectively. If at the foot of the pole Abu and Badu are on same horizontal;

(a) illustrate the information in a diagram;

(b) calculate, correct to one decimal place, the height of the pole.

Q4.

AGE	5	6	7	8	9	10
FREQUENCY	2	2x – 1	y + 2	4	2	y – 1

The table shows the ages of 20 children in a household.

Given that x: y = 1: 2

(a) values of x and y

(b) mean ages of the children.

Q5. Given that (x + 2), (4x + 3), and (7x + 24) are consecutive terms of a Geometric Progression (G.P.), find the:

a) value of x

b) common ratio.

Q6. A car travelled at a distance of (2x + 13) km at 67.5 km/h and (5x − 20) km at 72 km/h. If the total time for the entire journey was 90 minutes, find the value of x.

Q7. The time(t) taken to buy fuel at a filling station varies directly as the number of vehicles(V) in a queue and varies inversely as the number of pumps (P), available at the station. In a station with 5 pumps, it took 10 minutes to fuel 20 vehicles. find the;

(a) relationship between t, P, and V;

(b) time it takes to fuel 50 vehicles at a station with 2 pumps;

How to pass WAEC Maths exams

It’s important to make your West African Senior Secondary School Certificate Examination a huge success. The following ways are beneficial to candidates that wish to pass WAEC with flying colors:

1. Make adequate Preparation: By preparing very well for the WAEC Mathematics Objectives and theory exams, candidates will be able to write the exams confidently.

2. Attending Extra moral Classes: The school teachers might not be able to complete the curriculum on time. On that note, it is advisable for students to attend tutorials that will enlightened the more on the right topics under The syllables.

3. Make good use of Past Questions: The West African Examination Council, WAEC has a pattern of setting questions. Students that make good use of the WAEC Mathematics past Questions and Answers will surely perform well in the exams. Try and practice the questions set on previous years.

4. Use WAEC Mathematics Syllabus: The WAEC Mathematics Syllabus has a list of topics to be treated for years. Candidates should ensures that they use the syllabus while studying and preparing for their exams.

Steps to Answer Questions

The following steps are crucial while trying to answer WAEC Mathematics questions:

Candidates are advised to always begin with the simplest questions.
Adherence to the WAEC exams instructions are very important.
All the required details should be carefully written or entered on the WAEC Answer booklet.
Candidate’s handwriting should be very readable.
It’s important to attempt the required number of questions.
Candidates should cross check their answers before final submission.

Conclusion

Passing the WAEC Mathematics exams is very easy. All that is required is to do the needful. Prepare on time, attend tutorials, use past Questions and syllabus and many more.

Those that want to know more about the WAEC Mathematics questions and Answers should use the comments box hereunder.

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WAEC 2026 Mathematics Questions and Answers (Objectives/Essay) With PDF

Free Mathematics Answers to Objectives Questions

Essay Mathematics Questions for WAEC

How to pass WAEC Maths exams

Steps to Answer Questions

Conclusion

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Free Mathematics Answers to Objectives Questions

Essay Mathematics Questions for WAEC

How to pass WAEC Maths exams

Steps to Answer Questions

Conclusion

Related Post

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