Grade 10 Mathematics

Table of Contents

1. Algebraic expressions

   1. Introduction
   2. The real number system
   3. Rational and irrational numbers
   4. Rounding off
   5. Estimating surds
   6. Products
   7. Factorisation
   8. Simplification of fractions
   9. Chapter summary
   10. Exercises
   11. Exercises

2. Exponents

   1. Introduction
   2. Revision of exponent laws
   3. Rational exponents
   4. Exponential equations
   5. Exercises
   6. Exercises

3. Number patterns

   1. Introduction
   2. Describing sequences
   3. Chapter summary
   4. Exercises
   5. Exercises

4. Equations and inequalities

   1. Introduction
   2. Solving linear equations
   3. Solving quadratic equations
   4. Solving simultaneous equations
   5. Word problems
   6. Literal equations
   7. Solving linear inequalities
   8. Chapter summary
   9. Exercises
   10. Exercises

5. Trigonometry

   1. Introduction
   2. Similarity of triangles
   3. Defining the trigonometric ratios
   4. Reciprocal ratios
   5. Calculator skills
   6. Special angles
   7. Solving trigonometric equations
   8. Defining ratios in the Cartesian plane
   9. Chapter summary
   10. Exercises

6. Functions

   1. Introduction
   2. Linear functions
   3. Quadratic functions
   4. Hyperbolic functions
   5. Exponential functions
   6. Trigonometric functions
   7. Interpretation of graphs
   8. Chapter summary
   9. Exercises
   10. Exercises
   11. Exercises
   12. Exercises

7. Euclidean geometry

   1. Introduction
   2. Triangles
   3. Quadrilaterals
   4. The mid-point theorem
   5. Chapter summary
   6. Exercises
   7. Exercises

8. Analytical geometry

   1. Drawing figures on the Cartesian plane
   2. Distance between two points
   3. Gradient of a line
   4. Mid-point of a line
   5. Chapter summary
   6. Exercises
   7. Exercises
   8. Exercises
   9. Exercises

9. Finance and growth

   1. Introduction
   2. Simple interest
   3. Compound interest
   4. Calculations using simple and compound interest
   5. Foreign exchange rates
   6. Chapter summary
   7. Exercises

10. Statistics

    1. Collecting data
    2. Measures of central tendency
    3. Grouping data
    4. Measures of dispersion
    5. Five number summary
    6. Chapter summary
    7. Exercises
    8. Exercises

11. Trigonometry

    1. Two-dimensional problems
    2. Chapter summary
    3. Exercises
    4. Exercises

12. Euclidean geometry

    1. Proofs and conjectures
    2. Chapter summary
    3. Exercises
    4. Exercises

13. Measurements

    1. Area of a polygon
    2. Right prisms and cylinders
    3. Right pyramids, right cones and spheres
    4. The effect of multiplying a dimension by a factor of k
    5. Chapter summary
    6. Exercises
    7. Exercises

14. Probability

    1. Theoretical probability
    2. Relative frequency
    3. Venn diagrams
    4. Union and intersection
    5. Probability identities
    6. Exercises
    7. Mutually exclusive events
    8. Complementary events
    9. Chapter summary
    10. Exercises
    11. Exercises