T
TMUA · Session breakdown

Past-paper session bilan

Question-by-question profile · 25 questions · 2 papers

Specimen

TMUA Specimen Paper 1 · TMUA Specimen 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

25
Questions
25
Worked
100%
31
Methods triggered
2
Papers
Theme mix
  • Pure20
  • Reasoning5
Chapter mix · Specimen
  • Algebra & Inequalities5
  • Logic & Proof5
  • Exponentials & Logarithms3
  • Functions & Graphs3
  • Coordinate Geometry & Circles2
  • Proof & Number Theory2
  • Sequences & Series2
  • Combinatorics & Binomial1
  • Differentiation1
  • Trigonometry1

Methods triggered this session

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

  1. 1
    On a 'sum or product of the values' question, read it off the coefficients with Vieta
    Algebra & Inequalities
    ×2
  2. 2
    Apply the factor and remainder theorem by substituting the root, never by dividing
    Algebra & Inequalities
    ×2
  3. 3
    Bracket a log or power between consecutive integer powers to compare or eliminate
    Exponentials & Logarithms
    ×2
  4. 4
    Read the global shape skeleton straight from the degree and the leading term
    Functions & Graphs
    ×2
  5. 5
    Negate a quantified statement by flipping every quantifier in order and negating the inner predicate
    Logic & Proof
    ×2
  6. 6
    For a linear-quadratic system, substitute the linear equation into the quadratic at once
    Algebra & Inequalities
    ×1
  7. 7
    Solve polynomial inequalities by factorising and tracking signs on a number line
    Algebra & Inequalities
    ×1
  8. 8
    Turn a question about the nature or count of roots into a discriminant condition
    Algebra & Inequalities
    ×1
  9. 9
    Treat a three-term bracket as a binomial in disguise, then keep only terms up to the power you need
    Combinatorics & Binomial
    ×1
  10. 10
    The coefficient in a product or a sum of expansions is the sum of every contributing piece
    Combinatorics & Binomial
    ×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