Mathematics syllabus for Jamb

SECTION I: Jamb syllabus for Mathematics - Number and Numeration

1. Number bases

• Operations in different number bases from 2 to 10
• conversion from one base to another including fractional partership
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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)
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3. Indices, Logarithms and surds

• Laws of Indices
• Equation involving Indices
• Standard form
• Laws of Logarithms
• Logarithm of any positive number to a given base
• changes of bases in logarithm and application
• relationship between indices and logarithm
• surds
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4. Sets:

• Types of sets
• Algebra of sets
• Venn diagrams and their applications
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SECTION II: Jamb syllabus for Mathematics - Algebra

1. Polynomials

• Change of subjects of formula
• multiplication and division of Polynomials
• factorization of polynomials of degree not exceeding 3
• roots of polynomials not exceeding degre 3;
• simultaneous equations including one linear one quadratic
• graphs of polynomials of degree not greater than 3
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2. Variation

• Direct;
• Inverse;
• Joint;
• Partial;
• Percentage increase and decrease
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3. Inequalities

• analytical and graphical solutions of linear Inequalities
• quadratic inequalities with integral roots only
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4. Progression

• nth term of a progression
• sum of A.P and G.p
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5. Binary Operations

• Properties of closure, commutativity, associativity and distributivity
• identity and inverse elements (simple cases only)
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6. Matrices and determinants

• algebra of matrices not exceeeding 3 $\times$ 3;
• determinants of matrices not exceeding 3 $\times$ 3;
• inverse of 2 $\times$ 2 matrices [excluding quadratic and higher degree equations]
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SECTION III: Jamb syllabus for Mathematics - Geometry/Trigonometry

1. Euclidean Geometry

• Properties of angles and lines
• Polygons: triangles, quadrilaterals and general Polygons
• Circles: angles properties, cyclic quadrilaterals and intersecting Chlorides
• construction
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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 laitudes
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Loci

• Locus in 2 dimensions based on geometric principles relating to lines and curves
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Coordinate Geometry

• Midpoint and gradient of a line segments
• Distance between two points;
• Parallel and perpendicular lines
• Equations of straight lines
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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: Jamb syllabus for Mathematics - Calculus

1. Differentiation

• limit of a function
• Differentiation of explicit algebraic and simple trigonometrical function- sine, cosine and tangent
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2. Application of Differentiation

• Rate of change
• Maxima and minima
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3. Integration

• Intetration of explicit algebraic and simple trigonometrical functions
• Area under the curve
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SECTION V: Jamb syllabus for Mathematics - Statistics

1. Representation of data

• Frequency distribution
• Histogram, bar chart and pie chart
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2. Measures of Location

• Mean, mode and median of ungrouped and grouped data - (simple cases only)
• Cummulative frequency
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3. Measures of Dispersion

• Range, mean deviation, variance and standard deviation
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4. Permutation and Combinations

• Linear and circular arrangements
• Arrangements involving repeated objects
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5. Probability

• Experimental probability (tossing of coin, throwing of a dice etc)
• Addition and multiplicatoin of probabilities (mutual and independent cases)
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