T
TMUA · Session breakdown

Past-paper session bilan

Question-by-question profile · 29 questions · 2 papers

2018

TMUA 2018 Paper 1 · TMUA 2018 Paper 2

Glossary

Curated question
— Past-paper question with a worked solution and a tagged method.
Method
— Portable technique that pops up across years.
Worked solution
— Step-by-step solution written by us in our voice.
Past paper
— Official exam session published by the board.

These pages only count the curated set: questions with both a worked solution and at least one tagged method. Bulk past papers without that treatment are hidden.

Session overview

29
Questions
29
Worked
100%
31
Methods triggered
2
Papers
Theme mix
  • Pure23
  • Reasoning5
  • Statistics1
Chapter mix · 2018
  • Algebra & Inequalities5
  • Logic & Proof5
  • Trigonometry4
  • Differentiation3
  • Combinatorics & Binomial2
  • Functions & Graphs2
  • Integration2
  • Sequences & Series2
  • Coordinate Geometry & Circles1
  • Exponentials & Logarithms1
  • Probability & Statistics1
  • Proof & Number Theory1

Methods triggered this session

Each method that at least one question in this session hits.

  1. 1
    Target one coefficient with the general term, never expand the whole thing
    Combinatorics & Binomial
    ×2
  2. 2
    Count roots and control root number from the signs of the stationary values, never by solving
    Functions & Graphs
    ×2
  3. 3
    To find the first wrong line of a purported proof, scan for the classic order-breaking operations
    Logic & Proof
    ×2
  4. 4
    Quantifier order and scope: 'for all there exists ' is weaker than 'there exists for all ', so reduce to a function and push the variable to extremes
    Logic & Proof
    ×2
  5. 5
    Handle the ambiguous SSA case as a quadratic in the unknown side (number of triangles, uniqueness, area ratio)
    Trigonometry
    ×2
  6. 6
    Turn a question about the nature or count of roots into a discriminant condition
    Algebra & Inequalities
    ×1
  7. 7
    For a linear-quadratic system, substitute the linear equation into the quadratic at once
    Algebra & Inequalities
    ×1
  8. 8
    Apply the factor and remainder theorem by substituting the root, never by dividing
    Algebra & Inequalities
    ×1
  9. 9
    Read an absolute value as a distance, then bound or use the midpoint
    Algebra & Inequalities
    ×1
  10. 10
    Operate on whole inequalities, and flip the sign whenever you scale by a negative
    Algebra & Inequalities
    ×1

Try a method on a real paper

Open the TMUA methods app to see worked examples, linked questions and the 3-panel revision view.

Open TMUA methods