UI Post-UTME Mathematics Past Questions
Mathematics is a core subject in the University of Ibadan Post-UTME exam for Engineering, Social Sciences (Economics), and other courses that require Mathematics in JAMB. The UI Post-UTME Mathematics section tests algebra, calculus, trigonometry, statistics, and geometry. Questions are calculation-heavy and require speed and accuracy under time pressure.
Topics Covered in UI Post-UTME Mathematics
- Algebra — quadratic equations, inequalities, simultaneous equations, indices, logarithms
- Calculus — differentiation, integration, limits, maxima and minima
- Trigonometry — trigonometric ratios, identities, graphs, angles of elevation/depression
- Statistics — mean, median, mode, standard deviation, probability, permutations, combinations
- Geometry — circles, triangles, mensuration, coordinate geometry
- Number theory — sets, number bases, binary operations, surds
- Sequences and series — arithmetic and geometric progressions
- Matrices and determinants
Sample Mathematics Questions
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Q1.Find the angle between (5i + 3j) and (3i - 5j)
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Correct Answer: B. 90°
The dot product of the two vectors is (5 * 3) + (3 * -5) = 15 - 15 = 0. Since the dot product is zero, the vectors are perpendicular (90°).
Q2.Which of the following statements is/are true when two straight lines intersect? I. Adjacent angles are equal II. Vertically opposite angles are equal III. Adjacent angles are supplementary
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Correct Answer: C. II and III only
When two lines intersect, vertically opposite angles are equal (II) and adjacent angles on a straight line are supplementary (III).
Q3.If two triangles are similar, which of the following is true?
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Correct Answer: B. Their corresponding angles are equal
Similar triangles have corresponding angles that are equal, and corresponding sides that are proportional.
How to Prepare for UI Post-UTME Mathematics
Master quadratic equations and simultaneous equations — these appear in almost every UI Post-UTME Mathematics section.
Practice calculus differentiation and integration rules until they're second nature. Know the chain rule and product rule.
Memorize key trigonometric identities and special angle values (30°, 45°, 60°).
Don't skip statistics — probability, permutations, and combinations are frequently tested and are easy marks if you know the formulas.
Practice under timed conditions. Mathematics is where most students lose time in the Post-UTME.
Practice Other UI Post-UTME Subjects
Mathematics FAQ
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