# JAMB SYLLABUS FOR MATHS – EXAMLAND.COM.NG

## 1. NUMBER BASE

Operations in different number bases from 2 to 10;

conversion from one base to another including fractional parts.
Candidates should be able to:
i. perform four basic operations (x,+,-,÷)
ii. convert one base to another.

## 2. FRACTIONS, DECIMALS, APPROXIMATION AND PERCENTAGE:

fractions and decimals;
significant figures;
decimal places;
percentage errors;
simple interest;
profit and loss percent;
ratio, proportion and rate;
shares and valued added tax (VAT).
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, LOGARITHM AND SURDS:

laws of indices;
standard form;
laws of logarithm;
logarithm of any positive number to a given base;
change of bases in logarithm and application;
relationship between indices and logarithm;
surds.
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:

types of sets
algebra of sets
venn diagrams and their applications.
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.

# Jamb Mathematics Syllabus Topics For Algebra

## 1. POLYNOMIALS:

change of subject of formula
factor and remainder theorems
factorization of polynomials of degree not exceeding 3.
multiplication and division of polynomials
roots of polynomials not exceeding degree 3
simultaneous equations including one linear one quadratic;
graphs of polynomials of degree not greater than 3.
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 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
percentage increase and decrease.
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:

analytical and graphical solutions of linear inequalities;
quadratic inequalities with integral roots only.
Candidates should be able to:
i. solve problems on linear and quadratic
inequalities;
ii. interprete graphs of inequalities.

## 4. PROGRESSION:

nth term of a progression
sum of A. P. and G. P.
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:

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

algebra of matrices not exceeding 3 x 3;
determinants of matrices not exceeding 3 x 3;
inverses of 2 x 2 matrices
[excluding quadratic and higher degree equations].
Candidates should be able to:
i. perform basic operations (x,+,-,÷) on matrices;
ii. calculate determinants;
iii. compute inverses of 2 x 2 matrices.

# Jamb Mathematics Syllabus Topics For Geometry and Trigonometry

## 1. EUCLIDEAN GEOMETRY:

Properties of angles and lines
Polygons: triangles, quadrilaterals and general polygons;
Circles: angle properties, cyclic quadrilaterals and intersecting chords;
construction.
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.

## 2. MENSURATION:

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

locus in 2 dimensions based on geometric
principles relating to lines and curves.
Candidates should be able to:
identify and interpret loci relating to parallel lines, perpendicular bisectors, angle bisectors and circles.

## 4. COORDINATE GEOMETRY:

midpoint and gradient of a line segment;
distance between two points;
parallel and perpendicular lines;
equations of straight lines.
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 the general form.

## 5. TRIGONOMETRY:

trigonometrical ratios of angels;
angles of elevation and depression;
bearings;
areas and solutions of triangle;
graphs of sine and cosine;
sine and cosine formulae.
Candidates should be able to:
i. calculate the sine, cosine and tangent of angles between – 360° ≤ θθ ≤ 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.

# Jamb Mathematics Syllabus Topic For Calculus

## 1. DIFFERENTIATION:

limit of a function
differentiation of explicit algebraic and simple trigonometrical functions – sine, cosine and tangent.
Candidates should be able to:
i. find the limit of a function
ii. differentiate explicit algebraic and simple trigonometrical functions.

## 2. APPLICATION OF DIFFERENTIATION:

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

## 3. INTEGRATION:

integration of explicit algebraic and simple trigonometrical functions;
area under the curve.
Candidates should be able to:
i. solve problems of integration involving algebraic and simple trigonometric functions;
ii. calculate area under the curve (simple cases only).

# Jamb Mathematics Syllabus Topic For Statistics

## 1. REPRESENTATION OF DATA:

frequency distribution;
histogram, bar chart and pie chart.
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:

mean, mode and median of ungrouped and grouped data – (simple cases only);
cumulative frequency.
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.
Candidates should be able to:
calculate the range, mean deviation, variance and standard deviation of ungrouped and grouped data.

## 4. PERMUTATION AND COMBINATION

Linear and circular arrangements;
Arrangements involving repeated objects.
Candidates should be able to:
solve simple problems involving permutation and combination.

## 5. PROBABILITY:

experimental probability (tossing of coin, throwing of a dice etc);
Addition and multiplication of probabilities (mutual and independent cases).
Candidates should be able to:
solve simple problems in probability (including addition and multiplication)…