# Jamb Mathematics Syllabus For 2021/2022 UTME Examination

Welcome to all Jamb candidates, we are here to give you another updated article on Jamb Mathematics Syllabus for UTME Examination applicants, as we all know that the only thing going through your mind is to properly prepare for the forthcoming Jamb examination, and I believe that you have been in search an updated Jamb Mathematics Syllabus subject, if that’s the case then you have finally arrived in the right website

The only thing that will make you outstanding in 2021/2022 United Tertiary Matriculation Examination is to begin full preparation with Jamb Mathematics Syllabus now that it’s still early.

Furthermore, we shall be looking at some of the highlights to take while preparing for your exams using the Jamb Mathematics Syllabus

• First and foremost, choose your best course
• Secondly, it is necessary to make a little research on the selected course
• Look for the O’level that is needed for the course

## General Objective Jamb Mathematics Syllabus

The objective of this 2021 Jamb Mathematics Syllabus is to get the candidates to prepare for the examination.

JAMB MATHEMATICS SYLLABUS IS DIVIDE INTO FIVE SEGMENTS:

1. Number and Numeration
2. Algebra
3. Geometry / Trigonometry.
4. Calculus
5. Statistics

## 1: Number Bases

(a) operations in different number bases from 2 to 10;
(b) conversion from one base to another including fractional parts.

### Objectives

Candidates should be able to:

i. perform four basic operations (x,+,-,÷)
ii. convert one base to another.

## 2: Fractions, Decimals, Approximations and Percentages

(a) fractions and decimals;
(b) significant figures;
(c) decimal places;
(d) percentage errors;
(e) simple interest;
(f) profit and loss percent;
(g) ratio, proportion and rate;
(h) shares and valued added tax (VAT).

### Objectives

Candidates should be able to:

i. perform basic operations
(x,+,-,÷) on fractions and decimals;
ii. express to specified number of significant figures and decimal places;
iii. calculate simple interest, profit and loss percent; ratio proportion and rate;
iv. Solve problems involving share and VAT.

## 3: Indices, Logarithms, and Surds

(a) laws of indices;
(b) standard form;
(c) laws of logarithm;
(d) the logarithm of any positive number to a given base;
(e) change of bases in logarithm and application;
(f) relationship between indices and logarithm;
(g) surds.

### Objectives

Candidates should be able to:

i. apply the laws of indices in calculation;
ii. establish the relationship between indices and logarithms in solving problems;
iii. solve problems in different bases in logarithms;
iv. simplify and rationalize surds;
v. perform basic operations on surds.

## 4: Sets

(a) types of sets
(b) algebra of sets
(c) Venn diagrams and their applications.

### Objectives

Candidates should be able to:

i. identify types of sets, i.e empty, universal, complements, subsets, finite, infinite, and disjoint sets;
ii. solve problems involving cardinality of sets;
iii. solve set problems using symbol;
iv. use Venn diagrams to solve problems involving not more than 3 sets.

## 1: Polynomials

(a) change of subject of the formula
(b) factor and remainder theorems
(c) factorization of polynomials of degree not exceeding 3.
(d) multiplication and division of polynomials
(e) roots of polynomials not exceeding degree 3
(f) simultaneous equations including one linear one quadratic;
(g) graphs of polynomials of degrees not greater than 3.

### Objectives

Candidates should be able to:

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 the 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

(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

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

### Objectives

Candidates should be able to:

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

## 4: Progression

(a) the nth term of a progression
(b) the sum of A. P. and G. P.

### Objectives

Candidates should be able to:

i. determine the nth term of a progression;
ii. compute the sum of A. P. and G.P;
iii. sum to infinity of a given G.P.

## 5: Binary Operations

(a) properties of closure, commutativity, associativity, and distributivity;
(b) identity and inverse elements (simple cases only).

### Objectives

Candidates should be able to:

i. solve problems involving closure, commutativity, associativity, and distributivity;
ii. solve problems involving identity and inverse elements.

## 6: Matrices and Determinants

(a) algebra of matrices not exceeding 3 x 3;
(b) determinants of matrices not exceeding 3 x 3;
(c) inverses of 2 x 2 matrices [excluding quadratic and higher degree equations].

### Objectives

Candidates should be able to:

i. perform basic operations (x,+,-,÷) on matrices;
ii. calculate determinants;
iii. compute inverses of 2 x 2 matrices.

## 1: Euclidean Geometry

(a) Properties of angles and lines
(b) Polygons: triangles, quadrilaterals, and general polygons;
(c) Circles: angle properties, cyclic quadrilaterals, and intersecting chords;
(d) construction.

### Objectives

Candidates should be able to:

i. identify various types of lines and angles;
ii. solve problems involving polygons;
iii. calculate angles using circle theorems;
iv. identify construction procedures of special angles, e.g. 30°, 45°, 60°, 75°, 90°, etc. Topic 2: Mensuration

(a) lengths and areas of plane geometrical figures;
(b) lengths of arcs and chords of a circle;
(c) Perimeters and areas of sectors and segments of circles;
(d) surface areas and volumes of simple solids and composite figures;
(e) the earth as a sphere:- longitudes and latitudes.

### Objectives

Candidates should be able to:

i. calculate the perimeters and areas of triangles, quadrilaterals, circles, and composite figures;
ii. find the length of an arc, a chord, perimeters, and areas of sectors and segments of circles;
iii. calculate total surface areas and volumes of cuboids, cylinders. cones, pyramids, prisms, spheres, and composite figures;
iv. determine the distance between two points on the earth’s surface.

## 3: Loci

locus in 2 dimensions based on geometric
principles relating to lines and curves.

### Objectives

Candidates should be able to:
identify and interpret loci relating to parallel lines, perpendicular bisectors, angle bisectors, and circles.

## 4: Coordinate Geometry

(a) midpoint and gradient of a line segment;
(b) distance between two points;
(c) parallel and perpendicular lines;
(d) equations of straight lines.

### Objectives

Candidates should be able to:

i. determine the midpoint and gradient of a line segment;
ii. find the distance between two points;
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 general form.

## 5: Trigonometry

(a) trigonometrical ratios of angles;
(b) angles of elevation and depression;
(c) bearings;
(d) areas and solutions of the 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.

## 1: Differentiation

(a) limit of a function
(b) differentiation of explicit algebraic and simple trigonometric functions – sine, cosine and tangent.

### Objectives

Candidates should be able to:

i. find the limit of a function
ii. differentiate explicit algebraic and simple trigonometrical functions.

## 2: Application of Differentiation

(a) rate of change;
(b) maxima and minima.

### Objectives

Candidates should be able to:
solve problems involving applications of the rate of change, maxima, and minima.

## 3: Integration

(a) integration of explicit algebraic and simple trigonometrical functions;
(b) the area under the curve.

### Objectives

Candidates should be able to:

i. solve problems of integration involving algebraic and simple trigonometric functions;
ii. calculate the area under the curve (simple cases only).

## 1: Representation of data

(a) frequency distribution;
(b) histogram, bar chart, and pie chart.

### Objectives

Candidates should be able to:

i. identify and interpret frequency distribution tables;
ii. interpret information on the histogram, bar chart, and pie chart.

## 2: Measures of Location

(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

range, mean deviation, variance, and standard deviation.

### Objectives

Candidates should be able to:

calculate the range, mean deviation, variance, and standard deviation of ungrouped and grouped data.

## 4: Permutation and Combination

(a) Linear and circular arrangements;
(b) Arrangements involving repeated objects.

### Objectives

Candidates should be able to:

solve simple problems involving permutation and combination.

## 5: Probability

(a) experimental probability (tossing of a coin, throwing of dice, etc);
(b) Addition and multiplication of probabilities (mutual and independent cases).

### Objectives

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) Algebra 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.

This is really a comprehensive and compiled content that is composed to help Jamb candidates to know the areas of study without reading out of point. therefore, it is strictly important that you should take this content seriously to grab the necessary information you need for the upcoming jamb UTME examination