Available now Paper 1
Algebra and Functions
Manipulating expressions, equations and functions the way Paper 1 rewards.
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Free TMUA revision
Free TMUA revision guides by syllabus topic.
Free TMUA revision that explains the ideas exam questions actually reward: structure, speed, and the traps that show up again and again. Start with a topic, then practise free questions.
Available now Paper 1
Coordinate Geometry
Lines, circles and geometric reasoning without a calculator.
14 min read Read revision
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Available now Paper 1
Differentiation
Rates of change, turning points and TMUA-style calculus reasoning.
14 min read Read revision
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Available now Paper 1
Exponentials and Logarithms
Laws of logs, exponential equations, and links with indices.
12 min read Read revision
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Available now Paper 1
Graphs of Functions
Sketching, transforming and reading graphs for admissions questions.
14 min read Read revision
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Available now Paper 1
Integration
Area, reverse differentiation and structured integral problems.
13 min read Read revision
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Available now Paper 1
Laws of Indices for Rational Exponents
TMUA-focused index laws: common bases, fractional powers, traps, and structural simplification under time pressure.
12 min read Read revision
Available now Paper 2
The Logic of Arguments
Implication, equivalence and elementary logic for TMUA Paper 2.
13 min read Read revision
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Available now Paper 1
Sequences and Series
Arithmetic and geometric patterns, summation ideas, and TMUA-style traps.
13 min read Read revision
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Available now Paper 1
Surds: Simplification, Manipulation and Rationalising Denominators
TMUA-focused surds: simplify roots, use conjugates, spot disguised squares, and avoid sign and addition traps.
14 min read Read revision
Available now Paper 1
Trigonometry
Identities, equations and geometric trig under exam timing.
16 min read Read revision
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Coming soon Paper 2
Mathematical Proof
Constructing and checking arguments the way Paper 2 demands.
14 min read Coming soon
Coming soon Paper 2
Identifying Errors in Proofs
Spotting flawed reasoning quickly in multiple-choice proof questions.
11 min read Coming soon
More syllabus revision pages are on the way. Meanwhile, try free TMUA questions or start free topic practice.