2025 Mathematics JAMB Syllabus for all Subjects

2025 Mathematics JAMB Syllabus

The aim of the Unified Tertiary Matriculation Examination (UTME) 2025 syllabus in Mathematics is to prepare the candidates for the Board’s examination. It is designed to test the achievement of the course objectives, which are to:(1) acquire computational and manipulative skills;(2) develop precise, logical and formal reasoning skills;(3) develop deductive skills in interpretation of graphs, diagrams and data;(4) apply mathematical concepts to resolve issues in daily living.

i. find the subject of the formula of a given equation;
ii. apply factor and remainder theorem to factorize a given expression;
iii. multiply and divide polynomials of degree not more than 3;
iv. factorize by regrouping difference of two squares, perfect squares and cubic expressions; etc.
v. solve simultaneous equations – one linear, one quadratic;
vi. interpret graphs of polynomials including applications to maximum and minimum values.

2. Variation:

Topics:

(a) direct
(b) inverse
(c) joint
(d) partial
(e) percentage increase and decrease.

Objectives: 

Candidates should be able to:

i. solve problems involving direct, inverse, joint and partial variations;
ii. solve problems on percentage increase and decrease in variation.

3. Inequalities:

Topics:

(a) analytical and graphical solutions of linear inequalities;
(b) quadratic inequalities with integral roots only.

Objective:

Candidates should be able to:

i. solve problems on linear and quadratic inequalities;
ii. interpret graphs of inequalities.

4. Progression:

iii. identify conditions for parallelism and perpendicularity;iv. find the equation of a line in the two-point form, point-slope form, slope intercept form and the general form. 5.Trigonometry: Topics: (a) trigonometrical ratios of angels;(b) angles of elevation and depression;(c) bearings;(d) areas and solutions of triangle;(e) graphs of sine and cosine;(f) sine and cosine formulae. Objectives: Candidates should be able to:i. calculate the sine, cosine and tangent of angles between – 360° ≤ θ ≤ 360°;ii. apply these special angles, e.g. 30°, 45°, 60°, 75°, 90°, 105°, 135° to solve simple problems in trigonometry;iii. solve problems involving angles of elevation and depression;iv. solve problems involving bearings;v. apply trigonometric formulae to find areas of triangles;vi. solve problems involving sine and cosine graphs.

SECTION IV: CALCULUS

Objectives:Candidates should be able to:i. identify and interpret frequency distribution tables;ii. interpret information on histogram, bar chat and pie chart 2. Measures of Location: Topics:(a) mean, mode and median of ungrouped and grouped data – (simple cases only);(b) cumulative frequency. Objectives:Candidates should be able to:i. calculate the mean, mode and median of ungrouped and grouped data (simple cases only);ii. use ogive to find the median, quartiles and percentiles. 3. Measures of Dispersion: Topic:range, mean deviation, variance and standard deviation. Objective:Candidates should be able to:calculate the range, mean deviation, variance and standard deviation of ungrouped and grouped data. 4. Permutation and Combination: Topics:(a) Linear and circular arrangements;(b) Arrangements involving repeated objects. Objective:Candidates should be able to:solve simple problems involving permutation and combination.

5. Probability: Topics(a) experimental probability (tossing of coin, throwing of a dice etc);(b) Addition and multiplication of probabilities (mutual and independent cases). Objective:Candidates should be able to:

solve simple problems in probability (including addition and multiplication).

RECOMMENDED TEXTS

Adelodun A. A (2000) Distinction in Mathematics: Comprehensive Revision Text, (3rd Edition) Ado -Ekiti: FNPL.

Anyebe, J. A. B (1998) Basic Mathematics for Senior Secondary Schools and Remedial Students in Higher/ institutions, Lagos: Kenny Moore.

Channon, J. B. Smith, A. M (2001) New General Mathematics for West Africa SSS 1 to 3, Lagos: Longman.

David -Osuagwu, M. et al (2000) New School Mathematics for Senior Secondary Schools, Onitsha: Africana – FIRST Publishers.

Egbe. E et al (2000) Further Mathematics, Onitsha: Africana – FIRST Publishers

Ibude, S. O. et al (2003) Agebra and Calculus for Schools and Colleges: LINCEL Publishers.

Tuttuh – Adegun M. R. et al (1997), Further Mathematics Project Books 1 to 3, Ibadan: NPS Educational

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