Thinking Skills

Master the art of counting sessions, events, and earnings across real calendar periods. You will work with date ranges, weekday patterns, public holidays, and irregular schedules to answer precise numerical questions about time.

Read complex timetables and match people, activities, or events to available slots. You will cross-reference preferences, availabilities, and constraints to find the single valid option that satisfies every condition simultaneously.

Identify the repeating cycle or growth rule in number, shape, and symbol sequences — then use it to find any term, no matter how far along the sequence. This unit also covers growing patterns where you need to find a formula for the nth figure.

Given a claim or argument, identify the single piece of evidence that most directly and powerfully supports it. Questions cover health, education, environment, sport, policy, and everyday life — the key is finding what directly reinforces the stated conclusion.

Read an argument and find the statement that most seriously undermines, contradicts, or exposes a flaw in its reasoning. You will learn to spot the hidden assumptions every argument makes — and find what would prove those assumptions wrong.

Determine exactly which pieces of information are needed to answer a question — no more, no less. This unit trains precision thinking: you must understand what constitutes a complete proof and what information is truly necessary versus merely relevant.

Read and interpret tables, bar charts, pie charts, and surveys — then use the data to calculate percentages, make comparisons, and answer multi-step numerical questions. This unit covers everything from reading a simple graph to computing layered percentage breakdowns.

The most question-rich unit in the course. You will learn to spot a wide range of logical flaws: misapplying conditional rules, drawing conclusions beyond the evidence, confusing correlation with causation, and making statistical errors. Questions often present two characters debating and ask who reasons correctly.

Tackle multi-step time problems involving international travel, time zone conversions, layover times, relative speed, and scheduling windows. Questions present realistic scenarios requiring careful arithmetic with hours, minutes, and time zone offsets.

Decode secret messages, identify substitution rules, and crack symbol-based identification puzzles. This unit tests your ability to detect patterns in encoded data and apply discovered rules to decode new information.

Set up and solve real-world algebra problems without formal algebraic notation. You will work with simultaneous equations, age relationships, work rates, maximisation problems, and counting arrangements — all presented as practical word problems that require systematic equation thinking.

Follow chains of logical rules across multiple steps to determine what must, could, or cannot be true. This unit covers if-then implication chains, set membership overlaps, role assignment under constraints, deductive value assignment, and preference intersection puzzles.

Develop your ability to visualise, manipulate, and reason about shapes and space in your mind. Questions cover cube net folding, 3D views from different angles, compass direction navigation, paper folding, grid shading patterns, and completing visual sequences — all without physically touching anything.

Place people, objects, or events in the correct order — or determine what must, could, or cannot be in a specific position — using a set of positional clues. Questions range from simple 4-person linear arrangements to complex 8-person circular seating, relay handovers, and multi-criteria ranking puzzles.

Determine who is telling the truth and who is lying by testing each possibility against all statements simultaneously. These puzzles require you to systematically assume each person is the guilty one (or the truth-teller), check for consistency, and find the unique scenario where all constraints are satisfied.

Assign items, people, or objects to specific positions or slots by satisfying a set of explicit placement rules. Unlike general ordering, these questions give hard constraints: "must be directly adjacent", "must be in position 1", "must be exactly 2 apart" — and you must find the unique valid configuration.