# JAMB

### Scheme of Work

#### Number Bases

• Operations in different number bases from 2 - 10
• Number Base conversion

#### Fractions, Decimals, Approximations and Percentages

• Fractions, Decimals and Percentages
• Rounding to Significant figures
• Rounding to Decimal Places
• Percentage Errors
• Simple Interest
• Profit and Loss percent
• Ratio, Rate and Proportion

#### Indices, Logarithms and Surds

• Laws of Indices
• Standard Form
• Laws of Logarithm
• Logarithm of any positive number to a given base
• Change of base in Logarithm and Application
• Indices and Logarithm
• Surds

#### Sets

• Types of Sets
• Algebra of Sets
• Venn Diagrams and Their applications of sets

### Scheme of Work

#### Polynomials

• Change of Subject of Formula
• Factor and Remainder Theorem
• Factorisation of Polynomials of degree not exceeding 3
• Multiplication and Division of Polynomials
• Roots of Polynomials not exceeding degree 3
• Simultaneous equations including one linear and one quadratic
• Graphs of polynomials of degree not greater than 3

#### Variation

• Direct
• Inverse
• Joint
• Partial
• Percentage increase and decrease

#### Inequalities

• analytical and graphical solutions of linear inequalities
• Quadratic inequalities with integral roots only

#### Progression

• nth term of a progression
• Sum of AP and GP

#### Binary Operations

• Closure, Commutativity, Associativity and Distributivity
• Identity and Inverse

#### Matrices and Determinants

• algebra of matrices
• determinants of matrices
• inverse of 2 x 2 matrices

### Scheme of Work

#### Euclidean Geometry

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

#### Mensuration

• Length and area of plane geometrical figures
• Length of arcs and chords of a circle
• Perimeter and area of sectors and segments of circles
• surface areas and volumes of solids and composite figures
• The earth as a sphere - longitudes and latitudes

#### Loci

• Locus in 2 dimension

#### Coordinate Geometry

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

#### Trigonometry

• trigonometrical ratios of angles
• angles of elevation and depression
• bearings
• graphs and sine and cosine
• sine and cosine formula

### Scheme of Work

#### Representing Data

• Frequency distribution
• Histogram, Barchart and Pie chart

#### Measures of Location

• Mean, median, mode of grouped and ungrouped data
• cumulative frequency

#### Measures of Dispersion

• range, mead deviation, variance and standard deviation

#### Permutation and combination

• Linear and circular arrangements
• Arrangements involving repeated objects

### Scheme of Work

#### Differentiation

• limit of a function
• Differentiation of explicit algebraic and simple trig functions

#### Application of differentiation

• Rate of change
• maxima and minima

#### Integration

• Integration of explicit algebraic and simple trig functions
• area under the curve