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    Logic & Reasoning Module

    Logic Mastery

    Master TMUA Paper 2 logic through 7 themed worlds. Earn XP, level up, and unlock advanced content.

    Free to explore

    Sign up to save your progress and unlock all worlds

    Start Logic Practice

    Start with The Language of Logic -- no prior knowledge needed

    Choose Your World

    Start Here
    World 1/Foundations

    The Language of Logic

    Decode the language mathematicians use. No formulas, no symbols -- just clear thinking about statements, implications, and their hidden traps.

    ~50 min0/1,130 XP0/5 Levels
    World 2/Core Skills

    Necessary & Sufficient

    Translate necessary and sufficient conditions accurately, and decide which direction each implication runs.

    ~61 min0/870 XP0/5 Levels
    World 3/Quantifiers & Negation

    The Quantifier Lab

    Master quantifiers, negation, and the critical difference between "must be true" and "could be true". The skills that separate average from exceptional.

    ~55 min0/775 XP0/5 Levels
    World 4/Direction Analysis

    Proof Direction & Equivalence

    Identify what a proof establishes, distinguish a converse from a contrapositive, and check whether both directions hold.

    ~60 min0/940 XP0/5 Levels
    World 5/Proof Methods

    The Proof Toolkit

    Learn the four proof types Paper 2 tests. Build proofs, don't memorise them. Direct, contradiction, cases, and counterexample.

    ~69 min0/935 XP0/5 Levels
    World 6/Error Spotting

    The Error Inspector

    Learn to spot every error type that appears on Paper 2. Division by zero, irreversible operations, and more. Pure mark-gaining territory.

    ~80 min0/1,240 XP0/5 Levels
    World 7/Exam Simulation

    TMUA Battle Mode

    Real exam simulation. Build confidence through timed, mixed-topic practice that prepares you for the actual Paper 2.

    ~90 min0/1,320 XP0/5 Levels

    Unlock Advanced Logic Training

    Master quantifiers and complex reasoning patterns that 60% of students struggle with.