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See JAMB Mathematics syllabus

This JAMB syllabus for Mathematics is to prepare you for the JAMB exam by testing you in the following Mathematics topics:

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SECTION I: Number and Numeration

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1. Number bases:

• operations in different number bases from 2 to 10;
• conversion from one base to another including fractional parts.

2. Fractions, Decimals, Approximations and Percentages:

• fractions and decimals;
• significant figures;
• decimal places;
• percentage errors;
• simple interest;
• profit and loss percent;
• ratio, proportion and rate;
• shares and valued added tax (VAT).

3. Indices, Logarithms and Surds:

• laws of indices;
• standard form;
• laws of logarithm;
• logarithm of any positive number to a given base;
• change of bases in logarithm and application;
• relationship between indices and logarithm;
• Surds.

4. Sets:

• types of sets.
• algebra of sets.
• Venn diagrams and their applications.

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SECTION II: Algebra

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1. Polynomials:

• change of subject of formula.
• factor and remainder theorems.
• factorization of polynomials of degree not exceeding 3.
• multiplication and division of polynomials.
• roots of polynomials not exceeding degree 3.
• simultaneous equations including one linear, one quadratic;
• graphs of polynomials of degree not greater than 3.

2. Variation:

• direct
• inverse
• joint
• partial
• percentage increase and decrease.

3. Inequalities:

• analytical and graphical solutions of linear inequalities;
• quadratic inequalities with integral roots only.

4. Progression:

• nth term of a progression.
• sum of A. P. and G. P.

5. Binary Operations:

• properties of closure, commutativity, associativity and distributivity;
• identity and inverse elements (simple cases only).

6. Matrices and Determinants:

• algebra of matrices not exceeding 3 x 3;
• determinants of matrices not exceeding 3 x 3;
• inverses of 2 x 2 matrices [excluding quadratic and higher degree equations].

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SECTION III: Geometry and Trigonometry

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1. Euclidean Geometry:

• Properties of angles and lines.
• Polygons: triangles, quadrilaterals and general polygons;
• Circles: angle properties, cyclic quadrilaterals and intersecting chords;
• construction.

2. Mensuration:

• lengths and areas of plane geometrical figures;
• lengths of arcs and chords of a circle;
• Perimeters and areas of sectors and segments of circles;
• surface areas and volumes of simple solids and composite figures;
• 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:

• midpoint and gradient of a line segment;
• distance between two points;
• parallel and perpendicular lines;
• equations of straight lines.

5.Trigonometry:

• trigonometrical ratios of angles;
• angles of elevation and depression;
• bearings;
• areas and solutions of triangle;
• graphs of sine and cosine;
• sine and cosine formulae.

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SECTION IV: Calculus

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1. Differentiation:

• limit of a function.
• differentiation of explicit algebraic and simple trigonometrical functions –
  • sine,
  • cosine,
  • tangent. 

2. Application of differentiation:

• rate of change;
• maxima and minima.

3. Integration:

• integration of explicit algebraic and simple trigonometrical functions;
• area under the curve.

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SECTION V: Statistics

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1. Representation of data:

• frequency distribution;
• histogram, bar chart and pie chart.

2. Measures of Location:

• mean, mode and median of ungrouped and grouped data – (simple cases only);
• cumulative frequency.

3. Measures of Dispersion:

• Range, mean deviation, variance and standard deviation.

4. Permutation and Combination:

• Linear and circular arrangements;
• Arrangements involving repeated objects.

5. Probability:

• experimental probability (tossing of coin, throwing of a dice etc);
• Addition and multiplication of probabilities (mutual and independent cases).

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