The Best Way to Answer Jamb Mathematics

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The Best Way to Answer Jamb Mathematics- this is a tricky one, because there’s no much shut cut here for success apart from knowing the steps.

If you are writing maths in your JAMB CBT, this article will be very relevant to you since it has all the tips and tricks you need to know in answering JAMB CBT mathematics.

The better aspect of it is that you will be given calculator and rough sheets to do you mathematical calculation.

How is JAMB Mathematics?

JAMB CBT mathematics are simple problems that candidates are expected solve it with simple and sharp reasoning. You should be able to reason very fast and apply the mathematical rules when needed.

The main rules to adopt in JAMB maths in called Order of Operation. Order of operation are steps you need to adopt when working simple mathematical expressions. Another name for order of operation is BODMAS

A. Use BODMAS

This is an aasy and simple way to remember BODMAS rule!!

B Brackets first (parentheses)

O Of (orders i.e. Powers and Square Roots, Cube Roots, etc.)

DM Division

Multiplication (start from left to right)

AS Addition and Subtraction (start from left to right)

Note:

(i) Start Divide/Multiply from left side to right side since they perform equally.

(ii) Start Add/Subtract from left side to right side since they perform equally

B. Know the Formular

There are so many formulas in Mathematics. So, what you need to do is to have many of them in your head and learn how to apply them when needed.

My advice is that, you answer maths as your last subject in JAMB unless you trust yourself that you can deliver correct 40 questions out of 50.

Be Attentive and Fast

It’s very important you are very attentive to the questions. Try and understand what the examiner wants from you in each question.  Of course, if you don’t quite know a particular question, move to the next one. You don’t need to score all to have the cut off mark for your school.

JAMB Mathematics Areas of Concentration

The aim of the Unified Tertiary Matriculation Examination (UTME) syllabus in Mathematics is to prepare the candidates for the Board’s examination. It is designed to test the achievement of the course objectives, which are to:

(1)   acquire computational and manipulative skills;

(2)   develop precise, logical and formal reasoning skills;

(3)   apply mathematical concepts to resolve issues in daily living; This syllabus is divided into five sections:

  • I. Number and Numeration.
  • II. Algebra
  • III.   Geometry/Trigonometry.
  • IV. Calculus
  • V. Statistics
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.

 

 

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 per cent

(g) ratio, proportion and rate

 

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.

 

 

Candidates should be able to:

i.   perform four basic operations (x,+,-,÷);

ii.   convert one base to another.

 

 

 

 

 

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 per cent, ratio proportion and rate.

 

 

 

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

 

 

(f) relationship       between       indices     and

logarithm

(g) surds

 

4. Sets:

(a) types of sets

(b) algebra of sets

(c) venn diagrams and their applications.

 

 

 

 

 

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

 

 

 

 

 

2. Variation:

(a) direct (b)   inverse (c) joint

(d)   partial

(e) percentage increase and decrease.

 

3. Inequalities:

(a) analytical and graphical solutions of linear inequalities.

(b) quadratic inequalities with integral roots only.

 

4. Progression:

 

(a) nth term of a progression

(b) sum of A. P. and G. P.

 

5. Binary Operations:

(a) properties of closure, commutativity, associativity and distributivity.

(b) identity and inverse elements.

 

 

 

 

Candidates should be able to:

i.     identify types of sets, i.e empty, universal, compliments, subsets, finite, infinite and disjoint sets;

ii.   solve set problems using symbol;

iii. use venn diagrams to solve problems involving not more than 3 sets.

 

 

 

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, etc.;

v.     solve simultaneous equations – one linear, one quadratic;

vi. interpret   graphs     of   polynomials   including application to maximum and minimum values.

 

 

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.

Candidates should be able to:

solve problems on linear and   quadratic inequalities both analytically and graphically

 

 

 

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 a given G.P 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].

 

SECTION III: GEOMETRIC AND TRIGONOMETRY

 

1. Euclidean Geometry:

(a) angles and lines

(b) polygon; triangles, quadrilaterals and general polygon.

(c) circles, angle properties, cyclic,

quadrilaterals and intersecting chords.

(d) construction.

 

2.       Mensuration:

(a)   lengths and areas of plane geometrical figures.

(b)   length s of arcs and chords of a circle. (c) 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

 

 

 

 

 

 

3.   Loci:

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

 

 

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. perform basic operations (x,+,-,÷) on matrices;

 

ii. calculate determinants;

 

iii. compute inverses of 2 x 2 matrices

 

 

 

 

 

 

 

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. 30º, 45º, 60º, 75º, 90º etc.

 

 

 

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 and areas of sectors and segments of circles;

iii. calculate total surface areas and volumes of cuboids, cylinders.   cones, pyramids, prisms, sphere and composite figures;

iv. determine the distance between two points on

the earth’s surface.

 

Candidates should be able to:

identify and interpret loci relating to parallel lines, perpendicular   bisectors, angle bisectors and circles.

 

Candidates should be able to:

i.     determine the midpoint and gradient of a line segment;

ii.   find 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) trigonometric ratios of angels.

(b) angles of elevation and depression and bearing.

(c) areas and solutions of triangle

(d) graphs of sine and cosine

(e) sine and cosine formulae.

 

 

 

 

 

 

 

 

SECTION IV: CALCULUS I. Differentiation:

(a)   limit of a function;

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

 

2. Application of differentiation:

(a) rate of change

(b) maxima and minima

 

3. Integration:

(a)   integration of explicit algebraic and simple trigonometric functions.

(a) area under the curve.

 

 

 

 

 

SECTION V: STATISTICS

 

1. Representation of data:

(a) frequency distribution

(b) 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

 

Candidates should be able to:

i.   calculate the     sine, cosine and   tarigent   of angles between – 360º ≤ 0 ≤ 360º;

ii.   apply these special angles, e.g. 30º, 45º, 60º,

75º, 90º, 135º to solve simple problems in trigonometry;

iii.     solve problems involving   angles of elevation and depression and bearing;

iv.     apply trigonometric formulae to find areas of triangles;

v.   solve   problems involving sine   and cosine

graphs.

 

 

 

 

 

 

Candidates should be able to:

i.   find the limit of a function;

ii. differentiate explicit algebraic and simple trigonometric functions.

 

 

 

Candidates should be able to:

solve problems involving applications of rate of change, maxima and minima.

 

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).

 

 

 

 

 

 

 

Candidates should be to:

i.       identify and interpret frequency distribution tables;

ii.     interpret information on histogram, bar chat

and pie chart.

 

 

 

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

 

We will add more helpful tips on this page for you. Our aim is to see you have high score in JAMB this year.

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