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Analytical Reasoning

IMO Maths · Class 6

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TOPIC 3 OF 17 · LOGICAL REASONING

Analytical Reasoning 🧭

Where you end up facing, where you stand in a line, how you are related to a cousin twice removed, and who is oldest — all four are puzzles you solve by careful step-by-step deduction, not by calculation.

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Part 1 · Direction Sense

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Part 2 · Ranking Test

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Part 3 · Blood Relations

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Part 4 · Simple Puzzles

1

Direction Sense 🧭

Same direction, add. Opposite direction, subtract. A right angle between two legs? Look for a Pythagorean triple.

Right-triangle triples worth knowing

3-4-5  •  6-8-10  •  5-12-13  •  8-15-17  •  9-12-15

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Game 1 — Work Out the Distance

2

Ranking Test 🧍

Position from the other end = total − position you know + 1. Total = position from left + position from right − 1.

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Game 2 — Find the Position

3

Blood Relations 👨‍👩‍👧

Draw a quick family tree on rough paper. Mark who is whose parent, then read off the answer.

🪜 Building the family tree

  1. Write down each name, and draw an arrow from parent to child.
  2. Mark M (male) or F (female) whenever the puzzle tells you.
  3. Follow the arrows to find the answer — never guess from memory.
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Game 3 — Work Out the Relation

4

Simple Puzzles 🧩

Ordering puzzles compare people two at a time. Line them up in your head — or on paper — from most to least.

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Game 4 — Who's First?

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Analytical Reasoning Mock Test

12 IMO-style questions. Draw it out on rough paper before you answer! 🍀

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