2017/2018 JAMB SYLLABUS.

I. Number and Numeration.

II. Algebra

III. Geometry/Trigonometry.

IV. Calculus

V. Statistics

TOPICS/CONTENTS/

NOTES

OBJECTIVES

SECTION I: NUMBER AND

NUMERATION

1. Number bases:

(a) operations in

different number bases

from 2 to 10;

(b) 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,

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).

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) 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.

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.

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.

SECTION II: ALGEBRA.

1. Polynomials:

(a) change of subject

of 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 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

(e) 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:

(a) analytical and

graphical solutions of

linear inequalities;

(b) 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:

(a) nth term of a

progression

(b) 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:

(a) properties of

closure,

commutativity,

associativity and

distributivity;

(b) 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:

(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].

Candidates should be

able to:

i. perform basic

operations (x,+,-,÷ on

matrices;

ii. calculate

determinants;

iii. compute inverses

of 2 x 2 matrices.

SECTION III: GEOMETRY AND

TRIGONOMETRY

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.

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:

(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.

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.

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.

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:

(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.

Candidates should be

able to:

i. calculate the sine,

cosine and tangent of

angles between - 360°

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

I. Differentiation:

(a) limit of a function

(b) 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:

(a) rate of change;

(b) maxima and

minima.

Candidates should be

able to:

solve problems

involving applications

of rate of change,

maxima and minima.

3. Integration:

(a) integration of

explicit

algebraic and simple

trigonometrical

functions;

(b) 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).

SECTION V: STATISTICS

1. Representation of

data:

(a) frequency

distribution;

(b) 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:

(a) mean, mode and

median of ungrouped

and grouped data -

(simple cases only);

(b) 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:

(a) Linear and circular

arrangements;

(b) Arrangements

involving repeated

objects.

Candidates should be

able to:

solve simple problems

involving permutation

and combination.

5. Probability:

(a) experimental

probability (tossing of

coin,

throwing of a dice

etc);

(b) Addition and

multiplication of

probabilities

(mutual and

independent cases).

Candidates should be

able to:

solve simple problems

in probability

(including addition and

multiplication).**2017/2018 JAMB SYLLABUS.**

I. Number and Numeration.

II. Algebra

III. Geometry/Trigonometry.

IV. Calculus

V. Statistics

TOPICS/CONTENTS/

NOTES

OBJECTIVES

SECTION I: NUMBER AND

NUMERATION

1. Number bases:

(a) operations in

different number bases

from 2 to 10;

(b) 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,

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).

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) 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.

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.

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.

SECTION II: ALGEBRA.

1. Polynomials:

(a) change of subject

of 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 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

(e) 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:

(a) analytical and

graphical solutions of

linear inequalities;

(b) 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:

(a) nth term of a

progression

(b) 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:

(a) properties of

closure,

commutativity,

associativity and

distributivity;

(b) 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:

(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].

Candidates should be

able to:

i. perform basic

operations (x,+,-,÷ on

matrices;

ii. calculate

determinants;

iii. compute inverses

of 2 x 2 matrices.

SECTION III: GEOMETRY AND

TRIGONOMETRY

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.

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:

(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.

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.

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.

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:

(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.

Candidates should be

able to:

i. calculate the sine,

cosine and tangent of

angles between - 360°

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

I. Differentiation:

(a) limit of a function

(b) 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:

(a) rate of change;

(b) maxima and

minima.

Candidates should be

able to:

solve problems

involving applications

of rate of change,

maxima and minima.

3. Integration:

(a) integration of

explicit

algebraic and simple

trigonometrical

functions;

(b) 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).

SECTION V: STATISTICS

1. Representation of

data:

(a) frequency

distribution;

(b) 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:

(a) mean, mode and

median of ungrouped

and grouped data -

(simple cases only);

(b) 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:

(a) Linear and circular

arrangements;

(b) Arrangements

involving repeated

objects.

Candidates should be

able to:

solve simple problems

involving permutation

and combination.

5. Probability:

(a) experimental

probability (tossing of

coin,

throwing of a dice

etc);

(b) Addition and

multiplication of

probabilities

(mutual and

independent cases).

Candidates should be

able to:

solve simple problems

in probability

(including addition and

multiplication).2017/2018 JAMB SYLLABUS.

I. Number and Numeration.

II. Algebra

III. Geometry/Trigonometry.

IV. Calculus

V. Statistics

TOPICS/CONTENTS/

NOTES

OBJECTIVES

SECTION I: NUMBER AND

NUMERATION

1. Number bases:

(a) operations in

different number bases

from 2 to 10;

(b) 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,

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).

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) 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.

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.

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.

SECTION II: ALGEBRA.

1. Polynomials:

(a) change of subject

of 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 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

(e) 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:

(a) analytical and

graphical solutions of

linear inequalities;

(b) 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:

(a) nth term of a

progression

(b) 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:

(a) properties of

closure,

commutativity,

associativity and

distributivity;

(b) 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:

(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].

Candidates should be

able to:

i. perform basic

operations (x,+,-,÷ on

matrices;

ii. calculate

determinants;

iii. compute inverses

of 2 x 2 matrices.

SECTION III: GEOMETRY AND

TRIGONOMETRY

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.

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:

(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.

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.

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.

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:

(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.

Candidates should be

able to:

i. calculate the sine,

cosine and tangent of

angles between - 360°

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

I. Differentiation:

(a) limit of a function

(b) 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:

(a) rate of change;

(b) maxima and

minima.

Candidates should be

able to:

solve problems

involving applications

of rate of change,

maxima and minima.

3. Integration:

(a) integration of

explicit

algebraic and simple

trigonometrical

functions;

(b) 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).

SECTION V: STATISTICS

1. Representation of

data:

(a) frequency

distribution;

(b) 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:

(a) mean, mode and

median of ungrouped

and grouped data -

(simple cases only);

(b) 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:

(a) Linear and circular

arrangements;

(b) Arrangements

involving repeated

objects.

Candidates should be

able to:

solve simple problems

involving permutation

and combination.

5. Probability:

(a) experimental

probability (tossing of

coin,

throwing of a dice

etc);

(b) 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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