TMUA Preview
Links to Examples are in blue
General Notes
About the TMUA paper (2 pages; 18/9/24)
TMUA - Exam Technique (10 pages; 17/9/25)
TMUA - Useful material outside syllabus (2 pages; 6/10/24)
TMUA - Index of Questions (20 pages; 14/12/24)
TMUA Topics (5 pages; 14/12/24)
Important Ideas (17 pages; 28/9/21)
Basic Ideas & Exs (20 pages; 18/11/24)
TMUA Methods - Ideas & Exs (51 pages; 10/1/25)
TMUA & MAT Recommended Q'ns (with sol'ns)(50 pages; 10/1/25)
[Links for the following items appear in the password protected pages]
Topics
Algebra: Ideas & Exs (12 pages; 21/12/24)
Suggested eq'ns:
2023/P2/Q6 (q'n & sol'n) (eq'ns)
2023/P2/Q12 (q'n & sol'n) (number of sol'ns of eq'n)
2021/P2/Q16 (q'n & sol'n) (sol'n of eq'n)
2018/P2/Q20 (q'n & sol'n) (spurious solutions)
Counting Exs (20 pages; 5/11/22)
Cubics (5 pages; 5/6/23)
Cubics Exs [3 pages, 29/7/16] Sol'ns (10 pages, 29/7/16)
Suggested q'ns:
2023/P1/Q14 (q'n & sol'n) (cubic)
2020/P1/Q20 (q'n & sol'n) (cubic)
2020/P2/Q18 (q'n & sol'n) (cubic)
Spec/P2/Q19 (q'n & sol'n) (cubic)
Curve Sketching (5 pages; 6/10/24)
Curve Sketching Ideas & Exs (23 pages; 22/12/24)
Suggested q'n:
2022/P1/Q20 (q'n & sol'n) (curve sketching)
2018/P2/Q15 (q'n & sol'n) (curve sketching)
Differentiation Exs (2 pages; 5/11/22)
Turning points & Points of inflexion (FM) (7 pages; 5/6/23)
Functions
Suggested q'ns:
2023/P1/Q2 (q'n & sol'n) (intersection of curves)
2023/P1/Q20 (q'n & sol'n) (functions)
2023/P2/Q19 (q'n & sol'n) (functions)
2023/P2/Q20 (q'n & sol'n) (functions; integral)
2022/P2/Q14 (q'n & sol'n) (modulus function; inequalities)
2021/P1/Q12 (q'n & sol'n) (functions)
2021/P1/Q18 (q'n & sol'n) (rotation of curve)
2018/P2/Q18 (q'n & sol'n) (convex function)
Geometry Exs (2 pages; 5/11/22)
Suggested q'ns:
2023/P1/Q16 (q'n & sol'n) (right-angled triangle)
2023/P2/Q9 (q'n & sol'n) (pentagon)
2023/P2/Q14 (q'n & sol'n) (parallel & perp. lines)
2022/P2/Q19 (q'n & sol'n) (polygon)
2021/P1/Q1 (q'n & sol'n) (circles)
2021/P1/Q8 (q'n & sol'n) (geometry)
2021/P1/Q20 (q'n & sol'n) (geometry)
2021/P2/Q7 (q'n & sol'n) (geometry)
2021/P2/Q18 (q'n & sol'n) (geometry)
2020/P1/Q16 (q'n & sol'n) (geometry)
2022/P1/Q17 (q'n & sol'n) (triangle)
2022/P1/Q19 (q'n & sol'n) (circles)
Practice(aka 2016)/P1/Q20 (q'n & sol'n) (pyramid)
Inequalities
Inequalities - Notes (3 pages; 29/12/24)
Inequalities - Ideas & Exs (20 pages; 29/12/24)
Inequalities: Further Exs (8 pages; 22/4/25)
Integers Exs (10 pages; 10/10/24)
Integration Exs (2 pages; 5/11/22)
Suggested q'n:
2021/P1/Q7 (q'n & sol'n) (integration)
2021/P1/Q15 (q'n & sol'n) (integration)
2020/P2/Q16 (q'n & sol'n) (Fundamental Theorem of Calculus)
Logarithms: Ideas & Exs (10 pages; 14/12/24)
Logic
True or False problems: Ideas & Exs (6 pages; 17/12/24)
Suggested q'ns:
2018/P2/Q12** (q'n & sol'n) (negation)
2016/P2/Q4 (q'n & sol'n) (true or false; urns)
2022/P2/Q16 (q'n & sol'n) (true or false; sequence)
2020/P2/Q19 (q'n & sol'n) (true or false)
2020/P2/Q20 (q'n & sol'n) (true or false)
Spec/P2/Q20 (q'n & sol'n) (true or false)
Polynomials Exs (8 pages; 3/9/24)
Suggested q'n:
2022/P1/Q18 (q'n & sol'n) (intersection of polynomial functions)
Probability
Probability Methods (17 pages; 17/12/25)
Suggested q'n:
Practice(aka 2016)/P1/Q7 (q'n & sol'n) (conditional probability)
Proof
Necessary & sufficient conditions: Ideas & Exs (12 pages; 24/12/24)
Errors in reasoning - common q'n types (10 pages; 27/12/24)
Suggested q'ns:
2016/P2/Q10 (q'n & sol'n) (necessary & sufficient conditions)
2023/P2/Q7 (q'n & sol'n) (necessary & sufficient conditions)
2023/P2/Q9 (q'n & sol'n) (necessary & sufficient conditions)
2022/P2/Q7 (q'n & sol'n) (error in proof)
2021/P2/Q6 (q'n & sol'n) (necessary & sufficient conditions)
2021/P2/Q8 (q'n & sol'n) (necessary & sufficient conditions)
2021/P2/Q15 (q'n & sol'n) (necessary & sufficient conditions)
Quadratics (4 pages; 10/10/24)
Suggested q'n:
2020/P1/Q19 (q'n & sol'n) (quadratic)
Recurrence relations Exs (10 pages; 5/11/22)
Suggested q'n:
2023/P2/Q16 (q'n & sol'n) (recurrence relation)
2021/P2/Q20 (q'n & sol'n) (recurrence relation)
Sequences
Suggested q'n:
2018/P2/Q7 (q'n & sol'n) (sequences)
Series: Ideas & Exs (3 pages; 27/12/24)
Statistics
Suggested q'ns:
2020/P2/Q17 (q'n & sol'n) (mean & median)
Spec/P2/Q18 (q'n & sol'n) (mean & median)
2018/P2/Q16 (q'n & sol'n) (median)
Transformations of Functions: Ideas & Exs (8 pages; 28/12/24)
Transformations of Functions: Further Exs (10 pages; 28/12/24)
Suggested q'n:
Practice(aka 2016)/P1/Q9 (q'n & sol'n) (transformations)
Trigonometry: Ideas & Exs (15 pages; 11/10/24)
Trigonometry: Further Exs (10 pages; 11/10/24)
Suggested q'ns:
2023/P1/Q9 (q'n & sol'n) (Trig.)
2023/P1/Q12 (q'n & sol'n) (Trig.)
2022/P2/Q18 (q'n & sol'n) (Trig.)
2021/P1/Q19 (q'n & sol'n) (Trig.)
Practice(aka 2016)/P1/Q8 (q'n & sol'n) (Trig.)
Miscellaneous
Suggested q'n:
2022/P2/Q8 (q'n & sol'n) (arithmetic sequence)
2018/P2/Q3 (q'n & sol'n) (average speed)
Question Types
Case by case
2021/P2/Q20 (q'n & sol'n)
Matching graphs to function
2021/P1/Q17 (q'n & sol'n)
Number of solutions
2021/P1/Q14 (q'n & sol'n)
2020/P1/Q12 (q'n & sol'n)
Past Papers & Official Solutions etc
Specimen P1 Solns; P2 Solns; Answers (P1&P2)
Practice (aka 2016) P1 Solns; P2 Solns; Answers (P1&P2)
2017 P1 Solns; P2 Solns; Answers (P1&P2)
2018 P1 Solns; P2 Solns; Answers (P1&P2)
2019 P1 Solns; P2 Solns; Answers (P1&P2)
2020 (same as computer-based demo) P1 Solns; P2 Solns; Answers (P1&P2)
2021 P1 Solns; P2 Solns; Answers (P1&P2)
2022 P1 Solns; P2 Solns; Answers (P1&P2)
2023 P1 Solns; P2 Solns; Answers (P1&P2)
My solutions for Past Papers (with qns)
Specimen P1 P2
Practice (aka 2016) P1
2018 P2
2020 [also used for Computer-based Demo] P1 P2
2021 P1 P2
2022 P1 P2
2023 P1 P2
(2024 not available)
(See also MAT Multiple Choice Q'ns for further practice.)
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