MAT- Preview 

Links to Examples (up to Themes) are in blue

 

General Notes 

About the MAT paper (3 pages; 8/8/25)

MAT - Preparation (1 page; 7/10/21)

MAT - Exam Technique (16 pages; 17/9/25) 

MAT - Index of Q'ns (24 pages; 15/8/25)

MAT - Useful material outside syllabus (2 pages; 6/10/24)

Important Ideas (17 pages; 7/10/21)

Basic Ideas & Exercises (20 pages; 18/11/24)

 

Themes

Proof

  Necessary & sufficient conditions - Ideas & Exs (12 pages; 24/12/24)

 

2023/Q2** (q'n & sol'n) (polynomials; rearrangements; iff)

2023/Q3* (q'n & sol'n) (rearrangement)

2023/Q5** (q'n & sol'n)(reformulation; rearrangement)

 

[Links for the following items appear in the password protected pages]

 

Topics

 

Algebra: Ideas & Exs (12 pages; 21/12/24) 

 

Suggested q'ns:

 

  2017/Q2 (q'n & sol'n)

 

  2005/Q1/B (q'n & sol'n) (Number of solutions) 

 

Algorithms

 

  Suggested q'ns:

 

  2012/Q5 (q'n & sol'n) (robot) 

 

  2018/Q6 (q'n & sol'n) ('friendly' fractions)

 

Counting Exs (20 pages; 3/11/22) 

 

  Suggested q'n:

 

  2008/Q5 (q'n & sol'n) (Millennium school)) 

 

Cubics (5 pages; 5/6/23)

 

   Cubics Exs [3 pages, 29/7/16] Sol'ns (10 pages, 29/7/16) 

 

Curve Sketching (5 pages; 6/10/24)

 

Curve Sketching Ideas & Exs (23 pages; 22/12/24)

 

  Suggested q'n:

 

  2009/Q1/C  (q'n & sol'n) (intersections of curves)

 

  2010/Q1/A  (q'n & sol'n) (intersections of curves)

 

Differentiation Exs (2 pages; 2/11/22)

 

  Turning points & Points of inflexion (FM) (7 pages; 5/6/23)

 

Geometry: Ideas & Exs (8 pages; 3/10/24)

 

  Suggested q'ns:  

 

  2007/Q1/D (q'n & sol'n) (circles)

 

  2007/Q4 (q'n & sol'n) (geometry)

 

  2014/Q4 (q'n & sol'n) (geometry)

 

  2020/Q4 (q'n & sol'n) (geometry; symmetry)

 

  2005/Q1/E (q'n & sol'n) (circle inscribed in triangle)

 

  2005/Q1/J (q'n & sol'n) (circle)

 

  2006/Q1/J (q'n & sol'n) (circles)

 

  2011/Q1/E (q'n & sol'n) (geometry)

 

  2012/Q1/I (q'n & sol'n) (equilateral triangle in circle)

 

  2012/Q1/J (q'n & sol'n) (circle)

 

Inequalities

 

   Inequalities - Notes (3 pages; 29/12/24)

 

   Ideas & Exs (20 pages; 29/12/24) 

 

   Inequalities: Further Exs (8 pages; 22/4/25)

 

Integers Exs (10 pages; 20/9/24) 

 

Suggested q'ns:

 

  2009/Q1/J (q'n & sol'n) (integers)

 

  2022/Q2 (q'n & sol'n) (integers)

 

  2009/Q1/D (q'n & sol'n) (integers; series)

 

  2010/Q1/J (q'n & sol'n) (integers; inequality)

 

Integration Exs (2 pages; 2/11/22)

 

Logarithms: Ideas & Exs (11 pages; 16/12/24)

 

  Suggested q'ns:

 

  2010/Q1/E (q'n & sol'n) (relative sizes of logs)

 

  2021/Q2 (q'n & sol'n) (ln)

 

Logic

 

  True or False Q'ns (6 pages; 20/9/24) 

 

  Suggested q'ns:

 

  2007/Q6 (q'n & sol'n)

 

  2009/Q6 (q'n & sol'n)

 

Polynomials Exs (6 pages; 30/9/24) 

 

  Suggested q'ns:

 

  2023/Q2** (q'n & sol'n) (polynomials)

 

  2013/Q3 (q'n & sol'n) (polynomials)

 

  2021/Q3 (q'n & sol'n) (polynomials)

 

  2009/Q1/F (q'n & sol'n) (polynomials)

 

Quadratics Exs (4 pages; 30/9/24)

 

Recurrence relations Exs (10 pages; 4/11/22)

 

Sequences

 

  Suggested q'ns

 

  2023/Q5** (q'n & sol'n)(recurrence relation)

 

  2008/Q2 (q'n & sol'n)(recurrence relation)

 

  2020/Q6 (q'n & sol'n)(recurrence relation)

 

  2011/Q1/C (q'n & sol'n)(sequences)

 

  2011/Q1/J (q'n & sol'n)(recurrence relation)

 

Series: Ideas & Exs (3 pages; 27/12/24)

 

Transformations of Functions: Ideas & Exs (8 pages; 28/12/24)

 

Transformations of Functions: Further Exs (10 pages; 28/12/24)

 

  Suggested q'n

 

  2013/Q1/B (reflection; Trig.) [See My Solutions below]

 

Trigonometry: Ideas & Exs (16 pages; 23/9/25)

 

Trigonometry: Further Exs (10 pages; 3/10/24)

 

 

 

 

Miscellaneous

 

General Exs (8 pages; 20/9/24)

 

Suggested q'ns

 

  2005/Q1/G (q'n & sol'n) (kinematics) 

 

  2012/Q1/D (q'n & sol'n) (matching graph to area)

 

 

 

 

Question Types

 

Digits

 

  Suggested q'ns:

 

  2005/Q1/H (q'n & sol'n)

 

  2008/Q1/I (q'n & sol'n)

 

Largest/smallest value 

 

Suggested q'n:

 

  2008/Q1/B (q'n & sol'n)

 

Matching graph to function

 

  Suggested q'ns:

 

  2007/Q1/G (q'n & sol'n)

 

  2008/Q1/G (q'n & sol'n)

 

  2010/Q1/D (q'n & sol'n)

 

Number of solutions

 

Suggested q'ns

 

  2008/Q1/J (q'n & sol'n) (Trig.)

 

  2005/Q1/B (q'n & sol'n) (polynomial)

 

  2006/Q1/H (q'n & sol'n) (Trig.)

 

 

 

 

Past Papers & Official Sol'ns etc

 

 

 

 

1996  Paper  MC Answer Key

 

1997  Paper  MC Answer Key

 

1998  Paper  MC Answer Key

 

1999 not available

 

2000 Paper MC Answer Key

 

2001 not available

 

2002 not available

 

2003 Paper MC Answer Key

 

2004 Paper MC Answer Key

 

2005 Paper MC Answer Key

 

2006 Paper MC Answer Key

 

2007 Paper  Sol'ns

 

2008 Paper Sol'ns

 

2009 Paper Sol'ns

 

2010 Paper Sol'ns

 

2011 Paper Sol'ns

 

2012 Paper Sol'ns

 

2013 Paper Sol'ns

 

2014 Paper Sol'ns

 

2015 Paper Sol'ns

 

2016 Paper Sol'ns

 

2017 Paper Sol'ns

 

2018 Paper Sol'ns

 

2019 Paper Sol'ns

 

2020 Paper Sol'ns

 

2021 Paper Sol'ns

 

2022 Paper Sol'ns

 

2023 Paper Sol'ns

 

2024 Paper Sol'ns (MC not available)

 

 

 

 

My Solutions for Past Papers

 

Specimen 1: MC 3 4 5

 

Specimen 2: MC 2 4

 

2005: MC (with q'ns)

 

2006: MC (with q'ns)

 

2007: MC 4 5 6 (with q'ns)

 

2008: MC 2 3 5 (with q'ns)

 

2009: MC 2 6 (with q'ns)

 

2010: MC 3 (with q'ns)

 

2011: MC 2 (with q'ns)

 

2012: MC 5 7 (with q'ns)

 

2013: MC 2 3 4 5

 

2014: MC 2 3 4 5

 

2015: MC 2 3 4 5

 

2016: MC 2 4

 

2017: MC 2 6 7

 

2018: MC 2 6

 

2019: MC 2 3 5

 

2020: MC 2 4 6

 

2021: MC 2 3

 

2022: MC 2 3

 

2023: MC 2 3 4 5

 

2024: 26 27