Everything Maths Grade 10

Algebraicexpressions

• 1 Algebraic expressions
  
  
  • 1.1 Introduction
  
  
  • 1.2 The real number system
  
  
  • 1.3 Rational and irrational numbers
  
  
  • 1.4 Rounding off
  
  
  • 1.5 Estimating surds
  
  
  • 1.6 Products
  
  
  • 1.7 Factorisation
  
  
  • 1.8 Simplification of fractions
  
  
  • 1.9 Chapter summary
  
  
  
  


• 2 Exponents
  
  
  • 2.1 Introduction
  
  
  • 2.2 Revision of exponent laws
  
  
  • 2.3 Rational exponents
  
  
  • 2.4 Exponential equations
  
  
  • 2.5 Summary
  
  
  
  


• 3 Number patterns
  
  
  • 3.1 Introduction
  
  
  • 3.2 Describing sequences
  
  
  • 3.3 Chapter summary
  
  
  
  


• 4 Equations and inequalities
  
  
  • 4.1 Introduction
  
  
  • 4.2 Solving linear equations
  
  
  • 4.3 Solving quadratic equations
  
  
  • 4.4 Solving simultaneous equations
  
  
  • 4.5 Word problems
  
  
  • 4.6 Literal equations
  
  
  • 4.7 Solving linear inequalities
  
  
  • 4.8 Chapter summary
  
  
  
  


• 5 Trigonometry
  
  
  • 5.1 Introduction
  
  
  • 5.2 Similarity of triangles
  
  
  • 5.3 Defining the trigonometric ratios
  
  
  • 5.4 Reciprocal ratios
  
  
  • 5.5 Calculator skills
  
  
  • 5.6 Special angles
  
  
  • 5.7 Solving trigonometric equations
  
  
  • 5.8 Defining ratios in the Cartesian plane
  
  
  • 5.9 Chapter summary
  
  
  
  


• 6 Functions
  
  
  • 6.1 Introduction
  
  
  • 6.2 Linear functions
  
  
  • 6.3 Quadratic functions
  
  
  • 6.4 Hyperbolic functions
  
  
  • 6.5 Exponential functions
  
  
  • 6.6 Trigonometric functions
  
  
  • 6.7 Interpretation of graphs
  
  
  • 6.8 Chapter summary
  
  
  
  


• 7 Euclidean geometry
  
  
  • 7.1 Introduction
  
  
  • 7.2 Triangles
  
  
  • 7.3 Quadrilaterals
  
  
  • 7.4 The mid-point theorem
  
  
  • 7.5 Chapter summary
  
  
  
  


• 8 Analytical geometry
  
  
  • 8.1 Drawing figures on the Cartesian plane
  
  
  • 8.2 Distance between two points
  
  
  • 8.3 Gradient of a line
  
  
  • 8.4 Mid-point of a line
  
  
  • 8.5 Chapter summary
  
  
  
  


• 9 Finance and growth
  
  
  • 9.1 Introduction
  
  
  • 9.2 Simple interest
  
  
  • 9.3 Compound interest
  
  
  • 9.4 Calculations using simple and compound interest
  
  
  • 9.5 Foreign exchange rates
  
  
  • 9.6 Chapter summary
  
  
  
  


• 10 Statistics
  
  
  • 10.1 Collecting data
  
  
  • 10.2 Measures of central tendency
  
  
  • 10.3 Grouping data
  
  
  • 10.4 Measures of dispersion
  
  
  • 10.5 Five number summary
  
  
  • 10.6 Chapter summary
  
  
  
  


• 11 Trigonometry
  
  
  • 11.1 Two-dimensional problems
  
  
  • 11.2 Chapter summary
  
  
  
  


• 12 Euclidean geometry
  
  
  • 12.1 Proofs and conjectures
  
  
  • 12.2 Chapter summary
  
  
  
  


• 13 Measurements
  
  
  • 13.1 Area of a polygon
  
  
  • 13.2 Right prisms and cylinders
  
  
  • 13.3 Right pyramids, right cones and spheres
  
  
  • 13.4 The effect of multiplying a dimension by a factor ofk.
  
  
  • 13.5 Chapter summary
  
  
  
  


• 14 Probability
  
  
  • 14.1 Theoretical probability
  
  
  • 14.2 Relative frequency
  
  
  • 14.3 Venn diagrams
  
  
  • 14.4 Union and intersection
  
  
  • 14.5 Probability identities
  
  
  • 14.6 Mutually exclusive events
  
  
  • 14.7 Complementary events
  
  
  • 14.8 Chapter summary
  
  
  
  


• Solutions to exercises


• Past exam papers


• List of Definitions


• Image Attribution
  
  
  • Contents
  
  
  • CHAPTER
  
  
  
  


• 1.1 Introduction


• 1.2 The real number system


• 1.3 Rational and irrational numbers


• 1.4 Rounding off


• 1.5 Estimating surds


• 1.6 Products


• 1.7 Factorisation


• 1.8 Simplification of fractions


• 1.9 Chapter summary