UTME Mathematics

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UTME Mathematics – Course Content

Total Steps in this Course: 109

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Lesson 1: Number Bases

• Topic 1.1 – Introduction to Number Bases
  • Quiz 1.1 – Introduction to Number Bases
• Topic 1.2 – Number Base Arithmetic
  • Quiz 1.2 – Number Base Arithmetic
• Topic 1.3 – Addition and Subtraction of Number Bases
  • Quiz 1.3 – Addition and Subtraction of Number Bases
• Topic 1.4 – Multiplication and Division of Number Base
  • Quiz 1.4 – Multiplication and Division of Number Base

Lesson 2: Fractions, Decimals and Percentages

• Topic 2.1 – Fractions and Decimals
  • Quiz 2.1 – Fractions and Decimals
• Topic 2.2 – Significant Numbers
  • Quiz 2.2 – Significant Numbers
• Topic 2.3 – Decimal Places
  • Quiz 2.3 – Decimal Places
• Topic 2.4 – Percentage Errors
  • Quiz 2.4 – Percentage Errors
• Topic 2.5 – Simple Interest
  • Quiz 2.5 – Simple Interest
• Topic 2.6 – Profit and Loss Percent
  • Quiz 2.6 – Profit and Loss Percent
• Topic 2.7 – Ratio, Proportion and Rate
  • Quiz 2.7 – Ratio, Proportion and Rate

Lesson 3: Indices, Logarithms and Surds

• Topic 3.1 – Laws of Indices
  • Quiz 3.1 – Laws of Indices
• Topic 3.2 – Equations Involving Indices
  • Quiz 3.2 – Equations Involving Indices
• Topic 3.3 – Exponential Equations
  • Quiz 3.3 – Exponential Equations
• Topic 3.4 – Laws of Logarithm
  • Quiz 3.4 – Laws of Logarithm
• Topic 3.5 – Logarithmic Equations
  • Quiz 3.5 – Logarithmic Equations
• Topic 3.6 – Operations on Surds
  • Quiz 3.6 – Operations on Surds
• Topic 3.7 – Model Exam Questions on Surds
  • Quiz 3.7 – Model Exam Questions on Surds
• Lesson 3 Quiz – Indices, Logarithms and Surds

Lesson 4: Set Theory

• Topic 4.1 – Introduction to Set Theory
  • Quiz 4.1 – Introduction to Set Theory
• Topic 4.2 – Past Question On Set Theory
  • Quiz 4.2 – Past Question On Set Theory
• Lesson 4 Quiz – Set Theory

Lesson 5: Polynomials

• Topic 5.1 – Addition, Subtraction, Multiplication and Division of Polynomials
  • Quiz 5.1 – Addition, Subtraction, Multiplication and Division of Polynomials
• Topic 5.2 – Polynomials (Remainder Theorem)
  • Quiz 5.2 – Polynomials (Remainder Theorem)
• Topic 5.3 – Change of Subject Formula
  • Quiz 5.3 – Change of Subject Formula
• Lesson 5 Quiz – Polynomials

Lesson 6: Variation

• Topic 6.1 – Direct, Indirect and Joint Variation
  • Quiz 6.1 – Direct, Indirect and Joint Variation
• Topic 6.2 – Partial Variation
  • Quiz 6.2 – Partial Variation
• Lesson 6 Quiz – Variation

Lesson 7: Inequalities

• Topic 7.1 – Introduction to Inequalities
  • Quiz 7.1 – Introduction to Inequalities
• Topic 7.2 – Inequalities
  • Quiz 7.2 – Inequalities
• Topic 7.3 – Quadratic Inequalities
  • Quiz 7.3 – Quadratic Inequalities
• Topic 7.4 – Absolute Value Inequalities
  • Quiz 7.4 – Absolute Value Inequalities
• Lesson 7 Quiz – Inequalities

Lesson 8: Progression

• Topic 8.1 – Arithmetic Progression (AP)
  • Quiz 8.1 – Arithmetic Progression (AP)
• Topic 8.2 – UTME Past Questions on Arithmetic Progression
  • Quiz 8.2 – UTME Past Questions on Arithmetic Progression
• Topic 8.3 – Geometric Progression (GP)
  • Quiz 8.3 – Geometric Progression (GP)
• Topic 8.4 – UTME Past Questions on Geometric Progression
  • Quiz 8.4 – UTME Past Questions on Geometric Progression
• Lesson 8 Quiz – Progression

Lesson 9: Binary Operations

• Topic 9.1 – Introduction to Binary Operations
  • Quiz 9.1 – Introduction to Binary Operations
• Topic 9.2 – Properties of Binary Operations
  • Quiz 9.2 – Properties of Binary Operations
• Topic 9.3 – Binary Operations (Past Questions Analysis I)
  • Quiz 9.3 – Binary Operations (Past Questions Analysis I)
• Topic 9.4 – Binary Operations (Past Questions Analysis II)
  • Quiz 9.4 – Binary Operations (Past Questions Analysis II)
• Lesson 9 Quiz – Binary Operations

Lesson 10: Matrices and Determinants

• Topic 10.1 – Operations on Matrices
  • Quiz 10.1 – Operations on Matrices
• Topic 10.2 – Determinant and Inverse of a Matrix
  • Quiz 10.2 – Determinant and Inverse of a Matrix
• Topic 10.3 – General Past Questions on Matrices and Determinant
  • Quiz 10.3 – General Past Questions on Matrices and Determinant
• Lesson 10 Quiz – Matrices and Determinants

Lesson 11: Euclidean Geometry

• Topic 11.1 – Angles, Polygons, Triangles and Plane Geometry Theorem
  • Quiz 11.1 – Angles, Polygons, Triangles and Plane Geometry Theorem
• Topic 11.2 – Past Questions on Plane Geometry
  • Quiz 11.2 – Past Questions on Plane Geometry
• Topic 11.3 – Past Questions on Polygon
  • Quiz 11.3 – Past Questions on Polygon
• Topic 11.4 – Circle Theorems
  • Quiz 11.4 – Circle Theorems
• Topic 11.6 – Past Question II on Circle Geometry
  • Quiz 11.6 – Past Question II on Circle Geometry
• Lesson 11 Quiz – Euclidean Geometry

Lesson 12: Mensuration

• Topic 12.1 – Areas and Perimeters of Plane Shapes
  • Quiz 12.1 – Areas and Perimeters of Plane Shapes
• Topic 12.2 – Past Questions on Plane Shapes
  • Quiz 12.2 – Past Questions on Plane Shapes
• Topic 12.3 – Sectors, Arcs Chords and Segments
  • Quiz 12.3 – Sectors, Arcs Chords and Segments
• Topic 12.4 – JAMB Past Question on Sectors Arcs Chords Segments
  • Quiz 12.4 – JAMB Past Question on Sectors Arcs Chords Segments
• Topic 12.5 – UTME PQ on Sectors Arcs Chords Segments Two
  • Quiz 12.5 – UTME PQ on Sectors Arcs Chords Segments Two
• Topic 12.6 – Areas and Volumes of Solid Shapes
  • Quiz 12.6 – Areas and Volumes of Solid Shapes
• Topic 12.7 – Questions on SA and Volumes of solid shapes part one
  • Quiz 12.7 – Questions on SA and Volumes of solid shapes part one
• Topic 12.8 – Questions on SA and Volumes of solid shape part two
  • Quiz 12.8 – Questions on SA and Volumes of solid shape part two
• Lesson 12 Quiz – Mensuration

Lesson 13: Locus

• Topic 13.1 – Principles of Locus Loci
  • Quiz 13.1 – Principles of Locus Loci
• Lesson 13 Quiz – Locus

Lesson 14: Coordinate Geometry

• Topic 14.1 – Coordinate Geometry (Distance between two points)
  • Quiz 14.1 – Coordinate Geometry (Distance between two points)
• Topic 14.2 – Coordinate Geometry (Midpoint and gradient of a line segment)
  • Quiz 14.2 – Coordinate Geometry (Midpoint and gradient of a line segment)
• Topic 14.3 – Coordinate Geometry (Equations of a Straight Line)
  • Quiz 14.3 – Coordinate Geometry (Equations of a Straight Line)
• Topic 14.4 – Coordinate Geometry (Parallel and perpendicular lines)
  • Quiz 14.4 – Coordinate Geometry (Parallel and perpendicular lines)
• Lesson 14 Quiz – Coordinate Geometry

Lesson 15: Trigonometry

• Topic 15.1 – Trig Ratios and Identities
  • Quiz 15.1 – Trig Ratios and Identities
• Topic 15.2 – Special Angles Quadrant
  • Quiz 15.2 – Special Angles Quadrant
• Topic 15.3 – Bearings
  • Quiz 15.3 – Bearings
• Topic 15.4 – Angle of Elevation and Depression
  • Quiz 15.4 – Angle of Elevation and Depression
• Lesson 15 Quiz – Trigonometry

Lesson 16: Differential Calculus

• Topic 16.1 – Limit of Functions
  • Quiz 16.1 – Limit of Functions
• Topic 16.2 – Differentiation of explicit Algebraic Functions
  • Quiz 16.2 – Differentiation of explicit Algebraic Functions
• Topic 16.3 – Differentiation of TRIG Functions and PQ
  • Quiz 16.3 – Differentiation of TRIG Functions and PQ
• Lesson 16 Quiz – Differential Calculus

Lesson 17: Application of Differential Calculus

• Topic 17.1 – Application of Differential Calculus I
  • Quiz 17.1 – Application of Differential Calculus I
• Topic 17.2 – PQ Application of Differential Calculus II
  • Quiz 17.2 – PQ Application of Differential Calculus II
• Lesson 17 Quiz – Application of Differential Calculus

Lesson 18: Integral Calculus

• Topic 18.1 – Integration of Algebraic and Trig Functions
  • Quiz 18.1 – Integration of Algebraic and Trig Functions
• Topic 18.2 – PQ on Integration Techniques
  • Quiz 18.2 – PQ on Integration Techniques
• Lesson 18 Quiz – Integral Calculus

Lesson 19: Representation of Data

• Topic 19.1 – Representation of Data
  • Quiz 19.1 – Representation of Data
• Lesson 19 Quiz – Representation of Data

Lesson 20: Measures of Location

• Topic 20.1 – Measures of Central Tendency
  • Quiz 20.1 – Measures of Central Tendency
• Topic 20.2 – General PQ on Mean, Median & Mode
  • Quiz 20.2 – General PQ on Mean, Median & Mode
• Lesson 20 Quiz – Measures of Location

Lesson 21: Measures of Dispersion

• Topic 21.1 – Range and Mean Deviation
  • Quiz 21.1 – Range and Mean Deviation
• Topic 21.2 – Variance and Standard Deviation
  • Quiz 21.2 – Variance and Standard Deviation

Lesson 22: Permutation and Combination

• Topic 22.1 – Permutation and Factorial Notation
  • Quiz 22.1 – Permutation and Factorial Notation
• Topic 22.2 – Combinations
  • Quiz 22.2 – Combinations
• Topic 22.3 – General PQ on Permutation and Combination
  • Quiz 22.3 – General PQ on Permutation and Combination

Lesson 23: Probability

• Topic 23.1 – Introduction to Probability
  • Quiz 23.1 – Introduction to Probability
• Topic 23.2 – PQ on Probability
  • Quiz 23.2 – PQ on Probability
• Lesson 23 Quiz – Probability

Lesson 24: Algebraic Processes

• Topic 24.1 – Introduction to Quadratic Expressions
  • Quiz 24.1 – Introduction to Quadratic Expressions
• Topic 24.2 – Solving Quadratic Equations using Factorization method
  • Quiz 24.2 – Solving Quadratic Equations using Factorization method
• Topic 24.3 – Solving Quadratic Equations by Completing the Square Method
  • Quiz 24.3 – Solving Quadratic Equations by Completing the Square Method
• Topic 24.4 – Solving Quadratic Equations using Quadratic Formula
  • Quiz 24.4 – Solving Quadratic Equations using Quadratic Formula

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Mock Exams

• Mock Examination II
• Mock Examination III

2025 Weekly Assessments

• Utme Weekly Assessment (03/13/2025)
• UTME WEEKLY QUIZ (3/25/25)
• UTME MATH WEEKLY ASSESSMENT (21/03/25)
• Math Utme Weekly assessment {week 7/25}
• UTME WEEKLY ASSESSMENT {JAN 31}
• Utme Math FEB 14-25
• Utme Math Weekly Assessment (07/03/2025)
• UTME MATH WEEKLY ASSESSMENT QUIZ