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