WAEC 2024 Mathematics | Essay

Are you preparing for WAEC exams? Reviewing past questions is one of the most effective ways to guarantee a high score. This practice hub features authentic 2024 Mathematics (Essay) questions designed to simulate the real exam environment.

Practice these randomly selected questions to test your readiness.

Question 1
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;
Question Parts
(a)
relationship between t, P and V;
(b)
time it takes to fuel 50 vehicles at a station with 2 pumps;
(c)
number of pumps required to fuel 40 vehicles in 20 minutes.
Detailed Essay Solution & Marking Scheme Available

Get the step-by-step mathematical proofs, key points required by examiners, and a comprehensive breakdown from our AI Tutor.

Reveal Answer
Question 2
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.
Detailed Essay Solution & Marking Scheme Available

Get the step-by-step mathematical proofs, key points required by examiners, and a comprehensive breakdown from our AI Tutor.

Reveal Answer
Question 3
A circular floor of a building is to be tiled with ceramic tiles each of side 40 cm. If the perimeter of the floor is 66 m, calculate, correct to the nearest whole number, the number of tiles required to completely tile the floor. [Take \( \pi=\frac{22}{7} \)]
Detailed Essay Solution & Marking Scheme Available

Get the step-by-step mathematical proofs, key points required by examiners, and a comprehensive breakdown from our AI Tutor.

Reveal Answer
Question 4
In the diagram, \(ABCD\) is a circle centre \(O\). The quadrilateral \(OBCD\) is a rhombus such that \(\angle ADO = \angle OBA = y\) and \(\angle BAD = t\). Find:
Question Parts
(a)
the value of t;
(b)
the value of y;
(c)
\( \angle ADC \).
Detailed Essay Solution & Marking Scheme Available

Get the step-by-step mathematical proofs, key points required by examiners, and a comprehensive breakdown from our AI Tutor.

Reveal Answer
Question 5
A basket contains 3 gold-plated marbles, 4 diamond marbles and some silver marbles, all of the same size and shape. Two marbles were drawn from the basket at random one after the other without replacement. If the probability that the two marbles were all silver is \( \frac{1}{15} \), find the number of silver marbles.
Detailed Essay Solution & Marking Scheme Available

Get the step-by-step mathematical proofs, key points required by examiners, and a comprehensive breakdown from our AI Tutor.

Reveal Answer
Question 6
Given that (x+2),(4x+3) and (7x+24) are consecutive terms of a Geometric Progression (G.P), find the;
Question Parts
(a)
value of x;
(b)
common ratio.
Detailed Essay Solution & Marking Scheme Available

Get the step-by-step mathematical proofs, key points required by examiners, and a comprehensive breakdown from our AI Tutor.

Reveal Answer
Question 7
\( \begin{array}{|l|c|c|c|c|c|c|} \hline \text{Age} & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline \text{Frequency} & 2 & 2x - 1 & y + 2 & 4 & 2 & y - 1 \\ \hline \end{array} \) The table shows the ages of 20 children in a household. Given that x: y=1: 2, find the
Question Parts
(a)
values of x and y;
(b)
means age of the children.
Detailed Essay Solution & Marking Scheme Available

Get the step-by-step mathematical proofs, key points required by examiners, and a comprehensive breakdown from our AI Tutor.

Reveal Answer
Question 8
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 40° and 48° respectively. If at the foot of the pole, Abu and Badu are on the same horizontal;
Question Parts
(a)
illustrate the information in a diagram;
(b)
calculate, correct to one decimal place, the height of the pole.
Detailed Essay Solution & Marking Scheme Available

Get the step-by-step mathematical proofs, key points required by examiners, and a comprehensive breakdown from our AI Tutor.

Reveal Answer
Question 9
The diameter of a circle centre \(O\) is \(26\text{ cm}\). If a chord \(PQ\) is drawn such that it is \(5\text{ cm}\) from \(O\) to the centre of the chord, calculate, correct to the nearest whole number, the:
Question Parts
(a)
\( \angle POQ \)
(b)
Area of the minor segment formed by the chord PQ. [Take \( \pi=\frac{22}{7} \)]
Detailed Essay Solution & Marking Scheme Available

Get the step-by-step mathematical proofs, key points required by examiners, and a comprehensive breakdown from our AI Tutor.

Reveal Answer
Question 10
(a) In a man's will, he gave \( \frac{2}{5} \) of the total acres of his cocoa 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 has the least share received 8 acres, calculate the:
Question Parts
(i)
total acres the man left;
(ii)
number of acres the wife received.
(b)
The list 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 installment at 25% per annum simple interest. If the Television set is purchased by installment, find the total cost.
Detailed Essay Solution & Marking Scheme Available

Get the step-by-step mathematical proofs, key points required by examiners, and a comprehensive breakdown from our AI Tutor.

Reveal Answer
Question 11
Question Parts
(a)
Find the equation of the line that passes through the origin and the point of intersection of the lines \(x + 2y = 7\) and \(x - y = 4\).
(b)
The ratio of an interior angle to an exterior angle of a regular polygon is 4:1. Find the:
Detailed Essay Solution & Marking Scheme Available

Get the step-by-step mathematical proofs, key points required by examiners, and a comprehensive breakdown from our AI Tutor.

Reveal Answer
Question 12
(a) In the diagram \( \overline{PR} \) is a tangent to the circle centre O at Q. \( \angle POQ=56^{\circ} \) and \( \overline{PO} \) intersects \( \overline{SO} \) at V such that \( \angle SVP=109^{\circ} \). Calculate:
Question Parts
(i)
\( \angle TQP \);
(ii)
\( \angle QTS \).
(b)
\( \text{ Simplify: } \frac{2n^2 - 3n - 2}{2n^2 + 3n + 1} \times \frac{n^2 - 1}{n^2 - 4}. \)
Detailed Essay Solution & Marking Scheme Available

Get the step-by-step mathematical proofs, key points required by examiners, and a comprehensive breakdown from our AI Tutor.

Reveal Answer
Question 13
(a) In the diagram ABT is a circle centre O. PQ is a tangent to the circle at T and ABC is a straight line. \( \overline{TC} \) bisects \( \angle BTQ, \angle BAT=44^{\circ} \) and \( \angle PTA=60^{\circ} \).
Question Parts
(a)
Find \( \angle ACT \).
(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:
Detailed Essay Solution & Marking Scheme Available

Get the step-by-step mathematical proofs, key points required by examiners, and a comprehensive breakdown from our AI Tutor.

Reveal Answer

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Help others prepare! Share this practice hub:
Chat with Support