Free JAMB UTME Mathematics Exam Questions and Answers
JAMB UTME Mathematics is the Mathematics paper of the Unified Tertiary Matriculation Examination (UTME), set by Nigeria's Joint Admissions and Matriculation Board for entry to universities, polytechnics and colleges of education. The UTME is a computer-based multiple-choice test. The questions here are past JAMB Mathematics questions from 1983 to 2014, with the answer and, where the source gave one, an explanation.
Looking for JAMB UTME Mathematics exam dumps or ExamTopics questions? These practice questions cover the same ground with verified answers and explanations, a downloadable PDF and a full practice test, kept current as JAMB updates the exam.
Last updated: October 15, 2026
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Question #1
Find the value of 110111₂ + 10100₂
Correct answer: C
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Question #2
A woman bought a grinder for N60,000. She sold it at a loss of 15%. How much did she sell it?
Correct answer: C
Explanation
SP = Nx, CP = N60,000, percentage loss = 15%. 15% = (60000 − x)/60000 × 100%; 15% × 60000 = (60000 − x)100%; 60000 − x = (15% × 60000)/100% = 9000; x = 60000 − 9000 = N51,000
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Question #3
Express the product of 0.00043 and 2000 in standard form.
Correct answer: C
Explanation
0.00043 x 2000 = 43 x 10⁻⁵ x 2 x 10³ = 86 x 10⁻² = 8.6 x 10¹ x 10⁻² = 8.6 x 10⁻¹
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Question #4
A man donates 10% of his monthly net earnings to his church. If it amounts to N4,500, what is his net monthly income?
Correct answer: B
Explanation
Let M = man monthly net earnings. N4500 = 10%/100% × M, so M = N4500 × 100%/10% = N45,000
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Question #5
If log7.5 = 0.8751, evaluate 2 log75 + log750
Correct answer: B
Explanation
If log 7.5 = 0.8751, then 2log75 + log750 = 2(1.8751) + 2.8751 = 3.7502 + 2.8751 = 6.6253
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Question #6
Solve for x in 8x⁻² = 2/25
Correct answer: D
Explanation
8x⁻² = 2/25; x⁻² = 1/100; x² = 100; x = 10
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Question #7
Evaluate Log₂8 + Log₂16 - Log₂4
Correct answer: C
Explanation
log₂(8×16/4) = log₂32 = log₂2⁵ = 5log₂2 = 5 × 1 = 5
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Question #8
If P = {1,2,3,4,5} and P ∪ Q = {1,2,3,4,5,6,7}, list the elements in Q
Correct answer: C
Explanation
Q = (P ∪ Q) - P = {6,7}
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Question #9
If gt² - k - w = 0, make g the subject of the formula
Correct answer: A
Explanation
gt² - k - w = 0; gt² = k + w; g = (k + w)/t²
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Question #10
Factorize 2y² - 15xy + 18x²
Correct answer: B
Explanation
2y² - 15xy + 18x² = 2y² - 12xy - 3xy + 18x² = 2y(y - 6x) - 3x(y - 6x) = (2y - 3x)(y - 6x)
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