Jamb Mathematics Syllabus and Recommended Textbooks to Read (All you need to know)

Candidates should be able to:

i. perform basic operations (+,-,\times ,\div)  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.

iv. solve problems involving share and VAT.

(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).

2. INDICES, LOGARITHMS AND SURDS

Candidates should be able to:

i. apply the laws of indices in calculations.

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.

(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.

See all solutions to jamb mathematics indices, logarithms, and surds questions

3. SETS

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 symbols.

iv. use Venn diagrams to solve problems involving not more than 3 sets.

(a) Types of sets.

(b) Algebra of sets.

(c ) Venn diagrams and their applications.

candidates should be able to:

i. perform four basic operations(+,-,\times ,\div) .

ii. convert one base to another.

(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. 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.

(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. solve problems on linear and quadratic inequalities.

ii. Interprete graphs of inequalities.

(a) Analytical and graphical solutions of linear inequalities.

(b) Quadratic inequalities with integral roots only.

Candidates should be able to:

i. perform basic operations (+,-,\times ,\div ) on matrices.

ii. calculate determinants.

iii. compute inverses of 2 x 2 matrices.

(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. 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.

(a) nth term of a progression.

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

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.

(a) Direct.

(b) Inverse.

(c) Joint.

(d) Partial.

(e) Percentage increase and decrease.

Candidates should be able to:

i. solve problems involving closure, commutativity, associativity and distributivity.

ii. solve problems involving identity and inverse elements.

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

(b) Identity and inverse elements (simple cases only).

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.

(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. 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.

(a) Midpoint and gradient of a line segment.

(b) Distance between two points.

(c) Parallel and perpendicular lines.

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. calculate the sine, cosine and tangent of special angles.

ii. apply these special angles 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 the area of triangles.

vi. solve problems involving sine and cosine graphs.

(a) Trigonometrical ratios of angles.

(b) Angles of elevation and depression.

(c) Bearings.

(d) Areas and solutions of triangles.

(e) Graphs of sine and cosine.

(f) Sine and cosine formulae.

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.

(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. find the limit of a function.

ii. differentiate explicit algebraic and simple trigonometrical functions.

(a) Limit of a function.

(b) Differentiation of explicit algebraic and simple trigonometrical functions: sine, cosine and tangent.

Objectives

Content

Candidates should be able to:

calculate the range, mean deviation, variance and standard deviation of ungrouped and grouped data.

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.

(a) Mean, mode and median of ungrouped and grouped data – (simple cases only).

(b) Cumulative frequency.

Candidates should be able to:

solve simple problems involving permutation and combination.

(a) Linear and circular arrangements.

(b) Arrangements involving repeated objects.

Candidates should be able to:

solve simple problems in probability (including addition and multiplication).

(a) Experimental probability (tossing of a coin, throwing of a dice etc).

(b) Addition and multiplication of probabilities (mutual and independent cases).

(a) Frequency distribution.

(b) Histogram, bar chart and pie chart.