- No data uploaded
- Instant results
JAMB UTME Algebra Questions
Practise algebra (mathematics) for the Unified Tertiary Matriculation Examination: 10 multiple-choice questions, each with the correct answer and a worked explanation. Click an option to check it, or “New questions” for another set.
Algebra practice
-
Q1.Find the sum of the first 26 terms of the AP 7, 12, 17, …
Show answer & explanation
Answer: B — 1807
Sₙ = n/2 × [2a + (n − 1)d] = 26/2 × [14 + 125] = 1,807.
-
Q2.Solve: x² − 2x − 15 = 0
Show answer & explanation
Answer: A — -3, 5
Find two roots with sum 2 and product -15: 5 and -3. So x² − 2x − 15 = (x − 5)(x + 3) = 0.
-
Q3.Find log₂ 16.
Show answer & explanation
Answer: B — 4
log_2(16) asks “2 to what power gives 16?” → 2^4 = 16, so the answer is 4.
-
Q4.Find log₂ 4.
Show answer & explanation
Answer: A — 2
log_2(4) asks “2 to what power gives 4?” → 2^2 = 4, so the answer is 2.
-
Q5.Find the sum of the first 17 terms of the AP 4, 5, 6, …
Show answer & explanation
Answer: C — 204
Sₙ = n/2 × [2a + (n − 1)d] = 17/2 × [8 + 16] = 204.
-
Q6.Find log 100,000 (base 10).
Show answer & explanation
Answer: A — 5
log_10(100000) asks “10 to what power gives 100000?” → 10^5 = 100000, so the answer is 5.
-
Q7.Find the sum of the first 10 terms of the AP 12, 15, 18, …
Show answer & explanation
Answer: B — 255
Sₙ = n/2 × [2a + (n − 1)d] = 10/2 × [24 + 27] = 255.
-
Q8.Solve: x² + 18x + 81 = 0
Show answer & explanation
Answer: C — -9, -9
Find two roots with sum -18 and product 81: -9 and -9. So x² + 18x + 81 = (x + 9)(x + 9) = 0.
-
Q9.Find the sum of the first 14 terms of the AP 2, 4, 6, …
Show answer & explanation
Answer: B — 210
Sₙ = n/2 × [2a + (n − 1)d] = 14/2 × [4 + 26] = 210.
-
Q10.Solve: x² + 13x + 40 = 0
Show answer & explanation
Answer: C — -8, -5
Find two roots with sum -13 and product 40: -5 and -8. So x² + 13x + 40 = (x + 5)(x + 8) = 0.
How to approach algebra questions
Factorise quadratics by finding two numbers with the right sum and product; check roots by substitution. For simultaneous equations, elimination is usually faster than substitution under time pressure.
About JAMB UTME
Unified Tertiary Matriculation Examination — conducted by Joint Admissions and Matriculation Board (JAMB). Nigeria’s computer-based university admission exam; Use of English is compulsory.
Original practice questions written for this site in the style and difficulty of each exam’s syllabus. They are not past papers and the site is not affiliated with any exam body. Exam patterns, marking schemes and syllabi change — always check the latest official notification.
JAMB UTME practice topics
| Topic | Section | Question source |
|---|---|---|
| English Grammar | English | Question bank |
| Algebra | Mathematics | Calculated (new numbers every set) |
| Physics | Science | Calculated + question bank |
| Chemistry | Science | Calculated + question bank |
| Biology | Science | Question bank |