JAMB Mathematics Syllabus
Every section, topic and candidate objective in the official JAMB Mathematics outline — 5 sections, 23 topics and 79 objectives.
- Sections
- 5sections
- Topics
- 23topics
- Objectives
- 79objectives
- Category
- Sciencescategory
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Syllabus sections
5 sectionsTap a section to open it, then tap a topic to see its content and objectives.
1Section I: Number and Numeration
4 topics · 22 objectives
1Number Bases/Modular Arithmetic
3 content items · 3 objectives
Content
a. Operations in different number bases from 2 to 10
Objective
Perform the four basic operations (multiplication, addition, subtraction and division) in different number bases.
Content
b. Conversion from one base to another including fractional parts
Objective
Convert one base to another.
Content
c. Modular arithmetic
Objective
Perform operations in modular arithmetic.
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2Fractions, Decimals, Approximations and Percentages
8 content items · 8 objectives
Content
a. Fractions and decimals
Objective
Perform the basic operations (multiplication, addition, subtraction and division) on fractions and decimals.
Content
b. Significant figures
Objective
Express numbers to a specified number of significant figures.
Content
c. Decimal places
Objective
Express numbers to specified decimal places.
Content
d. Percentage errors
Objective
Calculate percentage error.
Content
e. Simple interest
Objective
Calculate simple interest.
Content
f. Profit and loss percent
Objective
Calculate profit and loss percentages.
Content
g. Ratio, proportion and rate
Objective
Solve problems involving ratio, proportion and rate.
Content
h. Shares and value added tax (VAT)
Objective
Solve problems involving shares and VAT.
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3Indices, Logarithms and Surds
8 content items · 8 objectives
Content
a. Laws of indices
Objective
Apply the laws of indices in calculations.
Content
b. Equations involving indices
Objective
Solve equations involving indices.
Content
c. Standard form
Objective
Apply standard form in calculations involving numbers.
Content
d. Laws of logarithm
Objective
Apply the laws of logarithms in calculations.
Content
e. Logarithm of any positive number to a given base
Objective
Solve problems involving logarithms in different bases.
Content
f. Change of bases in logarithm and application
Objective
Solve problems involving logarithms in different bases.
Content
g. Relationship between indices and logarithm
Objective
Establish the relationship between indices and logarithms in solving problems.
Content
h. Surds
Objective
Simplify and rationalize surds, and perform basic operations on surds.
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4Sets
3 content items · 3 objectives
Content
a. Types of sets
Objective
Identify types of sets, including empty, universal, complement, subset, finite, infinite and disjoint sets.
Content
b. Algebra of sets
Objective
Solve problems involving the cardinality of sets and solve set problems using symbols.
Content
c. Venn diagrams and their applications
Objective
Use Venn diagrams to solve problems involving not more than three sets.
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2Section II: Algebra
6 topics · 22 objectives
1Polynomials
7 content items · 7 objectives
Content
a. Change of subject of formula
Objective
Find the subject of the formula of a given equation.
Content
b. Addition, subtraction, multiplication and division of polynomials
Objective
Multiply and divide polynomials of degree not more than three and determine values of defined and undefined expressions.
Content
c. Factorization of polynomials of degree not exceeding 3
Objective
Apply the factor and remainder theorems to factorize a given expression. Factorize by regrouping, difference of two squares, perfect squares and cubic expressions.
Content
d. Roots of polynomials not exceeding degree 3
Objective
Determine the roots of polynomials of degree not exceeding three.
Content
e. Factor and remainder theorems
Objective
Apply factor and remainder theorems to factorize a given expression.
Content
f. Simultaneous equations including one linear and one quadratic
Objective
Solve simultaneous equations involving one linear equation and one quadratic equation.
Content
g. Graphs of polynomials of degree not greater than 3
Objective
Interpret graphs of polynomials, including applications to maximum and minimum values.
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2Variation
5 content items · 5 objectives
Content
a. Direct variation
Objective
Solve problems involving direct variation.
Content
b. Inverse variation
Objective
Solve problems involving inverse variation.
Content
c. Joint variation
Objective
Solve problems involving joint variation.
Content
d. Partial variation
Objective
Solve problems involving partial variation.
Content
e. Percentage increase and decrease
Objective
Solve problems on percentage increase and decrease in variation.
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3Inequalities
2 content items · 2 objectives
Content
a. Analytical and graphical solutions of linear inequalities
Objective
Solve problems on linear inequalities and interpret graphs of inequalities.
Content
b. Quadratic inequalities with integral roots only
Objective
Solve problems on quadratic inequalities and interpret graphs of inequalities.
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4Progression
2 content items · 2 objectives
Content
a. nth term of a progression
Objective
Determine the nth term of a progression.
Content
b. Sum of A.P. and G.P.
Objective
Compute the sum of an arithmetic progression (A.P.) and a geometric progression (G.P.), including the sum to infinity of a given G.P.
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5Binary Operations
2 content items · 2 objectives
Content
a. Properties of closure, commutativity, associativity and distributivity
Objective
Solve problems involving closure, commutativity, associativity and distributivity.
Content
b. Identity and inverse elements (simple cases only)
Objective
Solve problems involving identity and inverse elements.
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6Matrices and Determinants
4 content items · 4 objectives
Content
a. Algebra of matrices not exceeding 3 × 3
Objective
Perform the basic operations (multiplication, addition, subtraction and division) on matrices.
Content
b. Determinants of matrices not exceeding 3 × 3
Objective
Calculate determinants of matrices.
Content
c. Inverses of 2 × 2 matrices
Objective
Compute inverses of 2 × 2 matrices.
Content
Note: Excluding quadratic and higher degree equations.
Objective
Apply the stated restrictions when solving problems involving matrices and determinants.
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3Section III: Geometry and Trigonometry
5 topics · 20 objectives
1Euclidean Geometry
4 content items · 4 objectives
Content
a. Properties of angles and lines
Objective
Identify various types of lines and angles.
Content
b. Polygons: triangles, quadrilaterals and general polygons
Objective
Solve problems involving polygons.
Content
c. Circles: angle properties, cyclic quadrilaterals and intersecting chords
Objective
Calculate angles using circle theorems.
Content
d. Construction
Objective
Identify construction procedures for special angles, e.g. 30°, 45°, 60°, 75° and 90°.
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2Mensuration
5 content items · 5 objectives
Content
a. Lengths and areas of plane geometrical figures
Objective
Calculate the perimeters and areas of triangles, quadrilaterals, circles and composite figures.
Content
b. Lengths of arcs and chords of a circle
Objective
Find the lengths of arcs and chords of a circle.
Content
c. Perimeters and areas of sectors and segments of circles
Objective
Calculate the perimeters and areas of sectors and segments of circles.
Content
d. Surface areas and volumes of simple solids and composite figures
Objective
Calculate total surface areas and volumes of cuboids, cylinders, cones, pyramids, prisms, spheres and composite figures.
Content
e. The earth as a sphere: longitudes and latitudes
Objective
Determine the distance between two points on the earth's surface.
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3Loci
1 content item · 1 objective
Content
Locus in 2 dimensions based on geometric principles relating to lines and curves
Objective
Identify and interpret loci relating to parallel lines, perpendicular bisectors, angle bisectors and circles.
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4Coordinate Geometry
4 content items · 4 objectives
Content
a. Midpoint and gradient of a line segment
Objective
Determine the midpoint and gradient of a line segment.
Content
b. Distance between two points
Objective
Find the distance between two points.
Content
c. Parallel and perpendicular lines
Objective
Identify conditions for parallelism and perpendicularity.
Content
d. Equations of straight lines
Objective
Find the equation of a line in the two-point form, point-slope form, slope-intercept form and general form.
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5Trigonometry
6 content items · 6 objectives
Content
a. Trigonometrical ratios of angles
Objective
Calculate the sine, cosine and tangent of angles between -360° and 360°.
Content
b. Angles of elevation and depression
Objective
Solve problems involving angles of elevation and depression.
Content
c. Bearings
Objective
Solve problems involving bearings.
Content
d. Areas and solutions of triangles
Objective
Apply trigonometric formulae to find areas of triangles and solve problems involving triangles.
Content
e. Graphs of sine and cosine
Objective
Solve problems involving sine and cosine graphs.
Content
f. Sine and cosine formulae
Objective
Apply sine and cosine formulae to solve trigonometric problems, including problems involving special angles such as 30°, 45°, 60°, 75°, 90°, 105° and 135°.
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4Section IV: Calculus
3 topics · 6 objectives
1Differentiation
2 content items · 2 objectives
Content
a. Limit of a function
Objective
Find the limit of a function.
Content
b. Differentiation of explicit algebraic and simple trigonometrical functions: sine, cosine and tangent
Objective
Differentiate explicit algebraic and simple trigonometrical functions.
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2Application of Differentiation
2 content items · 2 objectives
Content
a. Rate of change
Objective
Solve problems involving applications of rate of change.
Content
b. Maxima and minima
Objective
Solve problems involving applications of maxima and minima.
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3Integration
2 content items · 2 objectives
Content
a. Integration of explicit algebraic and simple trigonometrical functions
Objective
Solve problems of integration involving algebraic and simple trigonometric functions.
Content
b. Area under the curve
Objective
Calculate the area under the curve in simple cases only.
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5Section V: Statistics
5 topics · 9 objectives
1Representation of Data
2 content items · 2 objectives
Content
a. Frequency distribution
Objective
Identify and interpret frequency distribution tables.
Content
b. Histogram, bar chart and pie chart
Objective
Interpret information on histograms, bar charts and pie charts.
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2Measures of Location
2 content items · 2 objectives
Content
a. Mean, mode and median of ungrouped and grouped data (simple cases only)
Objective
Calculate the mean, mode and median of ungrouped and grouped data in simple cases only.
Content
b. Cumulative frequency
Objective
Use an ogive to find the median, quartiles and percentiles.
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3Measures of Dispersion
1 content item · 1 objective
Content
Range, mean deviation, variance and standard deviation
Objective
Calculate the range, mean deviation, variance and standard deviation of ungrouped and grouped data.
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4Permutation and Combination
2 content items · 2 objectives
Content
a. Linear and circular arrangements
Objective
Solve simple problems involving permutation and combination.
Content
b. Arrangements involving repeated objects
Objective
Solve simple problems involving permutation and combination, including arrangements involving repeated objects.
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5Probability
2 content items · 2 objectives
Content
a. Experimental probability (tossing of coin, throwing of a dice, etc.)
Objective
Solve simple problems in probability using experimental examples such as tossing a coin and throwing a die.
Content
b. Addition and multiplication of probabilities (mutual and independent cases)
Objective
Solve simple problems in probability, including addition and multiplication of probabilities.
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