Introduction
Preparing for the JAMB Mathematics exam requires consistent practice. This guide presents likely JAMB past questions with step-by-step solutions. The focus is on common exam topics such as profit and loss, arithmetic progression (AP), percentages, and algebra.
By the end of this article, you’ll have a strong foundation and the confidence to tackle real exam questions.
Worked Mathematics Questions
Question 1 – Profit and Loss
Mr. Abora bought a car for ₦200,000 and sold it for ₦170,000. What is the percentage loss?
A. 10%
B. 12.5%
C. 15%
D. 20%
Question 2 – Arithmetic Progression (AP)
Answer: 59/6
Question 3 – Percentage Increase
A man’s salary increased from ₦40,000 to ₦50,000. What is the percentage increase?
A. 20%
B. 22%
C. 24%
D. 25%
Answer: D. 25%
Increase = 50,000 – 40,000 = ₦10,000.
Percentage = (10,000 ÷ 40,000) × 100 = 25%.
Question 4 – Simple Interest
Find the simple interest on ₦5,000 at 8% per annum for 3 years.
A. ₦800
B. ₦900
C. ₦1,200
D. ₦1,000
Answer: C. ₦1,200
SI = (P × R × T)/100 = (5000 × 8 × 3)/100 = ₦1,200.
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Question 5 – Ratio
Divide ₦6,000 between Tunde and Bola in the ratio 2:3.
A. ₦2,000 and ₦4,000
B. ₦2,400 and ₦3,600
C. ₦3,000 and ₦3,000
D. ₦1,500 and ₦4,500
Answer: B. ₦2,400 and ₦3,600
Total ratio = 2+3 = 5.
1 part = ₦6,000 ÷ 5 = ₦1,200.
Tunde = 2 × ₦1,200 = ₦2,400.
Bola = 3 × ₦1,200 = ₦3,600.
Question 6 – Quadratic Equation
Answer: A. 2 and 3
Factorize: (x – 2)(x – 3) = 0.
So, x = 2 or 3.
Question 7 – Average
The marks of 5 students are 10, 15, 20, 25, and 30. What is their average?
A. 18
B. 20
C. 22
D. 25
Answer: B. 20
Average = (10+15+20+25+30) ÷ 5 = 100 ÷ 5 = 20.
Question 8 – Indices
Question 9 – Probability
A die is thrown once. What is the probability of getting an even number?
A. 1/2
B. 1/3
C. 1/6
D. 2/3
Answer: A. 1/2
Even numbers on a die are 2, 4, 6 (3 outcomes). Total outcomes = 6. Probability = 3/6 = 1/2.
Question 10 – Geometry (Circle)
Find the circumference of a circle with radius 7 cm. (Take π = 22/7)
A. 14 cm
B. 44 cm
C. 154 cm
D. 77 cm
Answer: B. 44 cm
Circumference = 2πr = 2 × 22/7 × 7 = 44 cm.
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Conclusion
JAMB Mathematics often covers profit and loss, percentages, arithmetic progression, ratios, averages, quadratic equations, and simple interest. However, practicing with solved questions sharpens your speed and accuracy. Moreover, it helps you recognize patterns in how examiners set their problems.
In summary, consistency in solving past questions gives you a strong advantage. Keep practicing daily, and you’ll build the confidence needed to excel in the JAMB Mathematics exam.
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