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Mathematics Spec Year 11 ATAR Course Revision Series

Mathematics Spec Year 11 ATAR Course Revision Series
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Written by Dr O. T. Lee

 

 

 

Contents

Notes
  1.  Combinatorics I
  2.  Combinatorics II
  3.  Combinatorics III
  4.  Combinatorics IV
  5.  Addition & Subtraction of Vectors (Using Trigonometry)
  6.  Components & Position Vectors I
  7.  Components & Position Vectors II
  8.  Components & Position Vectors III
  9.  Relative Displacement
10.  Relative Velocity
11.  Relative Vectors
12.  Scalar Product I
13.  Scalar Product II
14.  Scalar Product III
15.  Geometric Proofs using Vectors
16.  Geometric Proofs and Circle Properties
17.  Trigonometric Equations I (Simple Trigonometric Ratios)
18.  Trigonometric Identities I (Pythagorean)
19.  Trigonometric Identities II (Add/Sub Formulae)
20.  Trigonometric Identities III (Double Angle)
21.  Trigonometric Identities IV (Product to Sum and Sum to Product)
22.  Trigonometric Identities V (Auxiliary Angles)
23.  Trigonometric Equations II
24.  Trigonometric Graphs
25.  Matrix Algebra
26.  Systems of Equations
27.  Applications of Matrices
28.  Transformation Matrices
29.  Complex Numbers
30.  Conjectures and Proofs
Fully Worked Solutions

Preface

  • Mathematics Specialist Revision Series Units 1 & 2 provides a comprehensive set of revision/review questions for the new year 11 Mathematics Specialist Units 1 & 2 course.

  • The review questions are written at test/examination level for both the Calculator Free and Calculator Assumed Sections and presented in a write-on format in topical order.
  •  This book exposes students to questions and problems at test/examination level.
  •  These questions are suitable for end-of-topic reviews and pre-test and pre-examination reviews.
  •  It is accompanied by a set of fully worked solutions with which students can measure their solutions.  These solutions are often not the only solutions but they provide a model for students to work with.  Students, interrogate your solutions to understand your errors and your successes.  It may sometimes to possible to achieve a correct numerical answer with faulty reasoning!
  • Do not memorise solutions.  Understand the techniques
    and processes used in relation to the questions asked.

O. T. Lee


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