TMUA 2016

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

Questions

Worked

100%

Methods triggered

Papers

Theme mix

Pure29
Statistics2
Reasoning1

Chapter mix · 2016

Differentiation5
Sequences & Series4
Trigonometry4
Exponentials & Logarithms3
Functions & Graphs3
Proof & Number Theory3
Algebra & Inequalities2
Coordinate Geometry & Circles2
Integration2
Probability & Statistics2
Combinatorics & Binomial1
Logic & Proof1

Methods triggered this session

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

1
Turn means and percentages into absolute totals and integer counts
Probability & Statistics
×2
2
Force the search to be finite, then enumerate: bound a variable or count the worst case
Proof & Number Theory
×2
3
When a sequence is defined by a recurrence, compute the first four or five terms before doing anything clever
Sequences & Series
×2
4
Recognise a disguised geometric series, extract its first term and ratio, then apply $\frac{a}{1 - r}$
Sequences & Series
×2
5
Reduce a mixed $sin$ / $cos$ equation to a polynomial in one ratio via $sin^{2} + cos^{2} = 1$
Trigonometry
×2
6
Apply the factor and remainder theorem by substituting the root, never by dividing
Algebra & Inequalities
×1
7
Judge a 'must be true' claim by proving the survivors and killing the rest with one counterexample
Algebra & Inequalities
×1
8
Treat a three-term bracket as a binomial in disguise, then keep only terms up to the power you need
Combinatorics & Binomial
×1
9
When two coefficients are proportional, divide the equations so the binomial coefficients cancel
Combinatorics & Binomial
×1
10
Replace a circle by its centre and radius and use the defining geometric fact, not the full equation
Coordinate Geometry & Circles
×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