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Exercises.

  1. Algebraic Fractions.
     
  2. Equations and inequalities.
  2.1 Completing the square.
  2.2 Solving quadratic equations.
  2.3 Solving quadratic inequalities.
  2.4 Solving equations containing a square root.
     
  3. Number sequences and patterns.
  3.1 Linear number patterns.
  3.2 Geometrical number patterns.
  3.3 Quadratic number sequences.
     
  4. Finance.
  4.1 Interest, compound growth,depreciation, inflation.
     
  5. Functions and their graphs.
  5.1 The parabola.
  5.2 The hyperbola.
  5.3 The exponential function.
  5.4 The trigonometric functions - sin x, cos x and tan x.
     
  6. Trigonometry.
  6.1 The reduction formulae.
  6.2 The reduction formulae and special angles.
  6.3 Solving trigonometric equations.
  6.4 Solution of triangles.
     
  7. Analytical or co-ordinate Geometry.
  7.1 Applications of analytical geoemetry.
     
     
  8. Statistics.
     
     
  9. Probability.
  9.1 Probability.
     
  10. Geometry.
  10.1 Perpendicular lines in a circle.
  10.2 Angles in the same segment.
  10.3 Tangents.
  10.4 Cyclic quadrilaterals.
     

Answers to the exercises.

If you do not get the same answers as these,
   1. rework your answer to check yourself.
   2. make sure that your method of calculation is correct.
   3. do you undestand the problem and the method? - consult my notes or any other text book about the subject.
If you still differ, email or fax us the problem and your complete answer so that we can compare answers.
     
  1. Algebraic Fractions.
     
  2. Equations and inequalities.
  2.1 Completing the square.
  2.2 Solving quadratic equations.
  2.3 Solving quadratic inequalities.
  2.4 Solving equations containing a square root.
     
  3. Number sequences and patterns.
  3.1 Linear number patterns.
  3.2 Geometrical number patterns.
  3.3 Quadratic number sequences.
     
  4. Finance.
  4.1 Interest,compound growth, depreciation, inflation.
     
  5. Functions and their graphs.
  5.1 The parabola.
  5.2 The hyperbola.
  5.3 The exponential function.
  5.4 The trigonometric functions - sin x, cos x and tan x.
     
  6. Trigonometry.
  6.1 The reduction formulae.
  6.2 The reduction formulae and special angles.
  6.3 Solving trigonometric equations.
     
  7. Analytical or co-ordinate Geometry.
  7.1 Applications of analytical geoemetry.
     
  9. Probability.
  9.1 Probability.
     
                 
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