More Exercises - Grade 12 Mathematics - Menu

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Meanwhile, you can practise some of the Grade 10 and 11 exercises for revision.
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for example, for exercises about the linear number pattern or arithmeical progression, click on the 1.1 or "Linear number pattern or arithmeical progression"

Exercises.

  1. Number patterns, progressions and series.
  1.1 Linear number pattern or arithmetical progression or sequence.
  1.2 Geometric number patterns or exponential sequences.
  1.3 Arithmetic series.
  1.4 Geometric series.
  1.5 Recursive sequences and series.
   
   
  2. Inverse of a function.
  2.1 Inverse of a function.
   
  3. Analytical or co-ordinate Geometry.
  3.1 Applications of analytical geoemetry.
   
  4. Logarithms.
  4.1 Logarithms.
   
  5. Calculus.
  5.1 First principles.
  5.2 Using the rules.
  5.3 Cubic functions and graphs.
   
  6. The remainder theorem.
   
  7. Statistics.
   
  8. Probability.
   
  9. Trigonometry.
  9.1 Calculations.
  9.2 Calculations using diagrams.
  9.3 Calculations without using a pocket calculator.
  9.4 Identities.
  9.5 Identities : use the reduction formulae.
  9.6 Identities : compound angles.
  9.7 Equations.
  9.7.1 Equations : function values given.
  9.7.2 Equations : sin A = sin B, cos A = cos B, tan A = tan B
  9.7.3 Equations : sin ax = cos bx
  9.7.4 Equations : common factor
  9.7.5 Equations : factor : trinomial
  9.8 2D and 3D figures

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. Number patterns, progressions and series.
  1.1 Linear number pattern or arithmetical progression or sequence.
  1.2 Geometric number patterns or exponential sequences.
  1.3 Arithmetic series.
  1.4 Geometric series.
  1.5 Recursive sequences and series.
   
   
  2. Inverse of a function.
  2.1 Inverse of a function.
   
  3. Analytical or co-ordinate Geometry.
  3.1 Applications of analytical geoemetry.
   
  4. Logarithms.
  4.1 Logarithms.
   
  5. Calculus.
  5.1 First principles.
  5.2 Using the rules.
   
  6. The remainder theorem.
   
  7. Statistics.
   
  8. Probability.
  
     
     
  
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