The Supplements Feed
Hello, welcome to my blog! I am still in the midst of porting over content from my IG @math.supplements.
8! or (8!)^2?
Solving a classic chessboard rook placement problem from multiple perspectives.
24 June 2025
Further Math vs H3 Math
Comparing the syllabus and depth of Further Mathematics vs H3 Mathematics.
12 January 2025
Quadratic Graphs
In-depth look at sketching and interpreting quadratic graphs.
6 January 2025
Trinity College P1 Q1
Worked solution for Trinity College Entrance Exam Paper 1 Question 1.
10 November 2024
Probability: Identical vs Distinct Objects
Clearing up confusion between identical and distinct objects in probability problems.
3 November 2024
Manipulating Parametric Equations
How to effectively work with and differentiate parametric equations.
1 November 2024
Complex Numbers and the Argand Diagram
Introduction to complex numbers and the Argand diagram.
31 October 2024
Summation Formulae
Key summation formulae and how to apply them to series problems.
29 October 2024
Downing College Entrance Question
Walkthrough of a challenging entrance question from Downing College, Cambridge.
29 October 2024
Integration by parts
A walkthrough of the integration by parts technique.
28 October 2024
Finding turning points
How to identify and classify turning points of a function.
26 October 2024
H3 — Intermediate value theorem
Applying the intermediate value theorem to solve polynomial problems.
26 October 2024
Understanding the discriminant
What the discriminant tells you about the roots of a quadratic.
26 October 2024
Olympiad telescoping with trigonometry
Telescoping series technique applied to a trigonometry olympiad problem.
24 October 2024
MAT 2016 Q1(g) — Polynomial roots
Worked solution for MAT 2016 Q1(g).
23 October 2024
Power rule: Why do we bring down the power and minus 1?
The reasoning behind the power rule for differentiation.
21 October 2024
MAT 2016 Q1(f) — Sum of roots shortcut
Worked solution for MAT 2016 Q1(f) using sum of roots.
21 October 2024
Deriving the arcsin integral
Step-by-step derivation of the arcsin integral formula.
21 October 2024
Nice shortcut using sum of roots of a polynomial
A quick method using the sum of roots to evaluate polynomial expressions.
20 October 2024
The Power of Binomial Expansion
Explore the mechanics of binomial expansion and how to find specific coefficients in complex expressions.
20 October 2024
Counting Rectangles in an n x m Grid
Count the number of rectangles that can be formed in an n × m grid using combinatorics.
20 October 2024