WAEC Mathematics 2026 Questions And Answers

The West African Examination Council (WAEC) has scheduled the WAEC Mathematics 2026 Questions And Answers paper to kick of on 3rd June, 2026.

This brings the attention of candidates writing the exam in to searching for WAEC Mathematics 2026 Questions And Answers, WAEC Mathematics Expo 2026, WAEC Mathematics Question And Answer 2026, 2026 WAEC Mathematics Questions And Answers etc.

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WAEC Mathematics Questions and Answers 2026

Below are likely WAEC Mathematics 2026 Essay Questions and Solutions for candidates preparing for the examination. Study the worked solutions carefully and practice similar questions.

SECTION A

[40 Marks]

Answer all questions in this section. All questions carry equal marks.

Question 1

A fun club donates to a children’s home annually. The amount given is increased by 8% yearly. If the donation in 2010 was $7,000.00, find the:

(a) Donation given in 2012

Solution:

2010 donation = $7,000.00
Increase for 2011 = 8% of $7,000 = $560.00
2011 donation = $7,560.00
Increase for 2012 = 8% of $7,560 = $604.80
2012 donation = $8,164.80

Answer: $8,164.80

(b) Total amount donated from 2010 to 2013

Solution:

2010 donation = $7,000.00
2011 donation = $7,560.00
2012 donation = $8,164.80
2013 donation = $8,818.00

Total = $7,000.00 + $7,560.00 + $8,164.80 + $8,818.00

Answer: $31,542.80

Question 2

Two cars X and Y start from a common point and travel in opposite directions. X travels at 60 km/h while Y travels at 80 km/h.

(a) Determine how far apart they will be after 3 hours.

Solution:

Distance travelled by X = 60 × 3 = 180 km
Distance travelled by Y = 80 × 3 = 240 km

Distance apart = 180 + 240

Answer: 420 km

(b) If the speed of X is increased by 20 km/h, what is the effect on the distance between X and Y?

Solution:

New speed of X = 80 km/h
Distance travelled by X = 80 × 3 = 240 km
Distance travelled by Y = 240 km

New total distance = 240 + 240 = 480 km

Increase in distance = 480 − 420 = 60 km

Answer: The distance increases by 60 km to 480 km.

(c) State the importance of considering speed when calculating total distance.

Speed directly determines the distance covered within a given time. Therefore, the speeds of moving objects must be considered to accurately calculate the total distance between them.

Question 3

Concrete blocks of length ¹⁴/₂₅ m were laid end-to-end around a rectangular lawn measuring 28 m by 21 m.

(a) How many blocks were required?

Solution:

Perimeter = 2(28 + 21) = 98 m

Number of blocks = 98 ÷ ¹⁴/₂₅

= 98 × ²⁵/₁₄

Answer: 175 blocks

(b) If each block costs GH₵1.80 and labour costs one-third of the cost of a block, find the total cost.

Solution:

Cost of blocks = GH₵1.80 × 175 = GH₵315.00

Cost of labour = ⅓ × GH₵1.80 × 175 = GH₵105.00

Total cost = GH₵315 + GH₵105

Answer: GH₵420.00

Question 4

In the diagram, MNPO is a circle with centre O. Given that:

∠MNO = y°
∠NEP = x°
∠NMP = (100 − x)°
∠NFP = 3x°

Find x and y.

Solution:

3x = y + (100 − x)

4x − y = 100 (1)

100 − x = x + y

2x + y = 100 (2)

Solving (1) and (2):

x = 25°

y = 50°

Answer: x = 25°, y = 50°

Question 5

A bowl contains red, green and black marbles. The number of red marbles is 3 more than the number of green marbles while the number of black marbles is 1 less than the number of green marbles. The probability of drawing a black marble is ¹/₄.

(a) Find the number of each colour.

Solution:

Let green marbles = g

Red marbles = g + 3

Black marbles = g − 1

Total marbles = 3g + 2

(g − 1)/(3g + 2) = 1/4

4(g − 1) = 3g + 2

g = 6

Green = 6
Red = 9
Black = 5

Answer: Green = 6, Red = 9, Black = 5

(b) Find the probability of drawing a marble that is not black.

Solution:

P(Not Black) = (6 + 9)/20

= 15/20

Answer: 3/4

SECTION B

[60 Marks]

Answer five questions only from this section.

Question 7

Mabel rode her bicycle for 45 minutes and then walked for 1 hour, covering a total distance of 10.4 km. The average cycling speed is three times the walking speed.

(a) Find the average cycling speed.

Answer: 9.6 km/h

(b) If the cycling speed increases by 20%, find the new cycling time.

Answer: 28.1 minutes

Question 8

(a) Find the equation of a line passing through K(-3,5) and parallel to 3x − 2y + 5 = 0.

Answer:

3x − 2y + 19 = 0

(b) Two consecutive even numbers are such that one-third of the larger exceeds one-fourth of the smaller by 7. Find the numbers.

Answer:

76 and 78

(c) Find the angle marked x in the circle diagram.

Answer:

x = 128°

Question 9

The angle of elevation of the top of a 75 m tower from a ship and a boat are 26.4° and 57.4° respectively.

Calculate the distance between the ship and the boat.

Solution:

BC = 75/tan57.4° = 47.96 m

AC = 75/tan26.4° = 151.09 m

AB = AC − BC

AB = 151.09 − 47.96

Answer: 103 m (3 s.f.)

Question 10

A sector of a circle has radius 18 cm and angle 120°.

Find the area of the sector.

Solution:

Area = (120/360) × (22/7) × 18²

= 339.43 cm²

Answer: 339.43 cm²

Question 11

The profit P made by a retailer is given by:

P = (3y² − 9)/(y − 2) − 18/(y − 2)

(a) If the profit is $16, determine the number of articles sold.

Answer:

y = 5 articles

(b) If no profit was made, determine the number of articles sold.

Answer:

y = 3 articles

Question 12

Solve:

(5 + x)/6 + (4x − 1)/3 ≥ (3x + 2)/5

Solution:

Multiply through by 30:

5(5 + x) + 10(4x − 1) ≥ 6(3x + 2)

45x + 15 ≥ 18x + 12

27x ≥ −3

x ≥ −1/9

Answer: x ≥ −1/9

WAEC Mathematics 2026 Questions and Answers | WAEC Maths Essay Questions 2026 | WAEC Mathematics Theory Solutions 2026

WAEC Mathematics Question 2026

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WAEC Mathematics 2026 Questions And Answers

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How to Get WAEC Mathematics 2026 Questions And Answers

WAEC Mathematics Questions and Answers 2026

SECTION A

Question 1

(a) Donation given in 2012

(b) Total amount donated from 2010 to 2013

Question 2

(a) Determine how far apart they will be after 3 hours.

(b) If the speed of X is increased by 20 km/h, what is the effect on the distance between X and Y?

(c) State the importance of considering speed when calculating total distance.

Question 3

(a) How many blocks were required?

(b) If each block costs GH₵1.80 and labour costs one-third of the cost of a block, find the total cost.

Question 4

Question 5

(a) Find the number of each colour.

(b) Find the probability of drawing a marble that is not black.

SECTION B

Question 7

(a) Find the average cycling speed.

(b) If the cycling speed increases by 20%, find the new cycling time.

Question 8

(a) Find the equation of a line passing through K(-3,5) and parallel to 3x − 2y + 5 = 0.

(b) Two consecutive even numbers are such that one-third of the larger exceeds one-fourth of the smaller by 7. Find the numbers.

(c) Find the angle marked x in the circle diagram.

Question 9

Calculate the distance between the ship and the boat.

Question 10

Find the area of the sector.

Question 11

(a) If the profit is $16, determine the number of articles sold.

(b) If no profit was made, determine the number of articles sold.

Question 12

WAEC Mathematics Expo 2026

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