## 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° ≤ Î¸Î¸ ≤ 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)…

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