Algebra and Functions
Manipulating expressions, equations and functions the way Paper 1 rewards.
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ExamAlly topic revision explains the ideas TMUA questions actually reward: structure, speed, and the traps that show up again and again. Start with a topic, then practise.
Manipulating expressions, equations and functions the way Paper 1 rewards.
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Lines, circles and geometric reasoning without a calculator.
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Rates of change, turning points and TMUA-style calculus reasoning.
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Laws of logs, exponential equations, and links with indices.
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Sketching, transforming and reading graphs for admissions questions.
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Area, reverse differentiation and structured integral problems.
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TMUA-focused index laws: common bases, fractional powers, traps, and structural simplification under time pressure.
Implication, equivalence and elementary logic for TMUA Paper 2.
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Arithmetic and geometric patterns, summation ideas, and TMUA-style traps.
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TMUA-focused surds: simplify roots, use conjugates, spot disguised squares, and avoid sign and addition traps.
Identities, equations and geometric trig under exam timing.
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Constructing and checking arguments the way Paper 2 demands.
Spotting flawed reasoning quickly in multiple-choice proof questions.
More syllabus revision pages are on the way. Meanwhile, try Sample Practice or free topic practice.