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Home » Aspirant/SSS » Aspirant Brainstorm » Mathematics 2017 Aspirants Thread Brainstorming.

Mathematics 2017 Aspirants Thread Brainstorming.

olanrewaju(m) Says (12:31pm On 3 Mar) (310 Views)

Hello mathematicians in the house, You are welcome to 2017 Mathematics ATB .

Here we all brainstorm on Mathematics for our upcoming Jamb.

We would Like to Introduce Our C-ordinator, @Peterproxy1(m)

He's also an aspirant.

#Enjoy your class


Please Join Our Site Today, Click here


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Peterproxy1(m) Says (08:24pm On 3 Mar) (310 Views)

Hello great mathematicians i am peterproxy i am your mathematics co-ordinator we will all brainstorm mathematics from monday to saturday at 7am i am also an aspirant and with our co-operation and contribution we will all pass jamb.
Thanks


Please Join Our Site Today, Click here

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Youngscholar(m) Says (09:10pm On 3 Mar) (310 Views)

Noted Sir!


Please Join Our Site Today, Click here

Peterproxy1(m) Says (06:57am On 3 Mar) (310 Views)

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,+,-,÷;D
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,+,-,÷;D 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,+,-,÷;D 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,+,-,÷;D
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,+,-,÷;D 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,+,-,÷;D 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,+,-,÷;D
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,+,-,÷;D 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,+,-,÷;D 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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Peterproxy1(m) Says (08:19am On 3 Mar) (310 Views)

TOPIC:NUMBER BASES

Base ten(denary)
623=6 * 10^2 + 2 * 10 +3

Base eight(octal)
713=7 * 8^2 + 1 * 8 + 3

Base five
4102=4 * 5^3 + 1 * 5^2 + 0 * 5 + 2

Base two(binary)
10110=1 * 2^4 + 0 * 2^3 + 1 * 2^2 + 1 * 2 + 0

Note: The greatest digit in any number is 1 less than the base number.

CONVERSION FROM BASE TEN TO ANY OTHER BASE:-
E.g 1) convert 134(base ten) to base 8
Solution
8 134 R
8 16 6
8 2 0
0 2
CONVERSION FROM OTHER BASE TO BASE TEN:-
E.g 2) convert 100(base two) to base ten.
solution
100(base two)=1 * 2^2 + 0 * 2^1 + 0 * 2^0
=1 * 4 + 0 * 2 + 0 * 1
=4 + 0 + 0
= 4(base ten)

Questions
1) convert 136(base ten) to base 8
2) convert 230(base ten) to base 4
3) convert 1111(base two) to base 10
4) convert 11011(base two) to base 10

LET'S STOP HERE FOR TODAY WE WILL CONTINUE ON MONDAY, AND I HOPE YOU ALL ENJOYED THE CLASS HAVE A NICE DAY AHEAD.


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Youngscholar(m) Says (05:40pm On 3 Mar) (310 Views)

Questions
1) convert 136(base ten) to base 8
2) convert 230(base ten) to base 4
3) convert 1111(base two) to base 10
4) convert 11011(base two) to base 10

Solution
1.136= 8|136
8| 17 R 0
8| 2 R 1
8| 0 R 2
:- 136=210

2. 230 = 4|230
4| 57 R 2
4| 14 R 1
4 | 3 R 2
4| 0 R 3
:- 230= 3212

3. 1111=1 *2³+1*2²+1*2¹+1*2^0
= 1*8 + 1*4 + 1*2+1*1
=8+4+2+1
=15

4. 11011=1*2⁴+1*2³+1*2²+1*2²+1*2¹+1*2^0
=1*16+1*8+1*4+1*2+1*1
=16+8+4+2+1
=31

True


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Peterproxy1(m) Says (07:12am On 3 Mar) (310 Views)

TOPIC:BINARY OPERATION
CONVERSION OF A NUMBER IN ONE BASE TO ANOTHER BASE
E.g 1) Convert 134(base 5) to base two
Solution
134(base 5)=1 * 5^2 + 3 * 5^1 + 4 * 5^0
=1 * 25 + 3 * 5 + 4 * 1
=25 + 15 + 4 =44
2 44 R
2 22 0
2 11 0
2 5 1
2 2 1
2 1 0
0 1
134(base 5) = 101100(base two)
Class-work
1) Convert 234(base 5) to base two
2) Convert 613(base 7) to base two
3) Convert 312(base 4) to base seven

HAVE A NICE DAY EVERYONE


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Peterproxy1(m) Says (10:30pm On 4 Apr) (310 Views)

Time allowed : 40mins
No workings please, choose only the correct options.
1. If tan x =12/5, what is the value of sin x?
a. 12/13 b. 5/13
c. - 5/13 d. - 12/13

2. Three men X, Y and Z shared #2400.00 in the ratio 4:5:7 respectively. How much does Z receive?
a. #1200 b. #750
c. #800 d. #1050

3. If y varies directly as the square root of (x+4). If y is 6 when x is 5. Find y when x is 12.
a. 20 b. 12 c. 9 d. 8

4. A building took 63 days to complete by 28 men. How many days will the building take 36 men to complete?
a. 42 days b. 49 days c. 81 days d. 56 days

5. What is the mode of the numbers 14, 8, 9, 10, 8, 11, 8, 10, 9, 9, 10 and 8. a. 14 b. 9 c. 8 d. 11

6. The bearing of P from Q is 250 degree. Find the bearing of Q from P. a. 110 b. 70 c. 20 d. 160

7. The area of a square is 64 sq. cm. Find the length of its diagonal.
a. 11.3cm b. 12.3cm c. 12cm d. 8cm

8. Each interior angle of a regular polygon is 160 degree, how many sides has it?
a. 20 b. 12 c. 18 d. 16

9. The sides of a triangle are 20cm, 20cm and 24cm. Find its area. a. 240 sq. cm b. 144 sq. cm c. 192 sq. cm d. 120 sq. cm

10. Leave 99.95 in one decimal place. a. 99.0 b. 100.0 c. 99.9 d. 90.0

11. Which of these is not a prime number?
a. 1 b. 2 c. 3 d. 5

12. The sum of two dozens, two scores and two gross is______
a. 322 b. 352 c. 332 d. 152.

13. The 5th term of an A.P is 17 and 9th term is 29. Find the third term. a. 9 b. 12 c. 7 d. 11

14. Four angles of a pentagon are 120 degree each. What is the size of the fifth angle? a. 120 degree b. 90 degree c. 60 degree d. 90 degree.

15. If cos 20 =sin(2x +50). Find x.
a. 10 b. 30 c. 55 d. 75

16. In a class of 100 students, every students has to study biology or chemistry or both subjects. If 85 students study biology and 70 students study chemistry. How many students study both subjects? a. 55 b. 45 c. 155 d. 15

17. Find the sum of the series below ...,- 2, - 1, 0, 1, 2,...
a. 1 b. 0 c. infinity d. not possible

18. The product of two consecutive odd numbers is 143. Find the sum of the numbers. a. 72 b. 47 c. 63 d. 24

19. Let U=(1,2,3,4,5,6) A=(1,3,4,5,) B=(1,4,5). Find (A U B)'. a. (1,2) b. (1,3,4,5) c. (2,6) d. (1,4,5)

20. The angle of depression of a water tank from the top of a building is 60 degree. If the tank is 40m away from the foot of the building, find the distance between the water tank and the top of the building. A. 80m b. 40m c. 46.19 d. 23.09m


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