Olympiad prep

Logical reasoning for olympiads: Classes 2–12

How to prepare for the logical reasoning section of an olympiad: patterns, series, analogies, worked examples and practice ideas by age.

What reasoning sections test

Most school olympiads, whatever their subject, include a reasoning section, and some olympiads are built around reasoning alone. Unlike maths or science, reasoning has no chapter in the school textbook. It tests how a student thinks: spotting patterns, following rules step by step, holding several facts in mind and checking each option against them.

That can make reasoning feel mysterious to parents, but it is very learnable. The question types are limited and they repeat. Once a student recognises a type, such as a coding question or a direction question, they know how to approach it. Much of reasoning preparation is simply meeting each type a few times and learning a reliable method for it.

Reasoning also rewards calm. Many questions look complicated but fall apart with a quick diagram or by testing each option in turn. Students who panic at an unfamiliar figure lose more marks than students who don’t know the trick.

Common question types

Described in general terms, these are the families that appear most often:

  • Series: the next number, letter or figure in a sequence, or the one that doesn’t fit.
  • Analogies: “A is to B as C is to ?”, with words, numbers or figures.
  • Odd one out: finding the item that doesn’t belong to a group.
  • Coding and decoding: working out the rule that turns one word into a code, then applying it to another.
  • Directions: following a path of turns and distances, and finding where someone ends up.
  • Ranking and order: who is taller, who came third, or someone’s position from both ends of a row.
  • Blood relations: working out how two people in a description are related.
  • Calendars and clocks: days of the week after a number of days, and angles between clock hands.
  • Figures: mirror and water images, paper folding and cutting, counting triangles or squares, and hidden shapes.
  • Arrangements and logic: seating around a table, statements and conclusions, and Venn diagrams.

Practice ideas by age

Classes 2–4

  • Puzzles with rules. Tangrams, jigsaws, dot-to-dot pictures, spot-the-difference and board games build pattern sense naturally.
  • Pattern talk. Bead strings, tiled floors and printed fabrics are all patterns. Ask “what comes next?”
  • Mirror guessing. Hold letters and shapes up to a mirror and guess what the reflection will look like first.
  • Left and right, in real life. Giving directions on a walk (“turn left at the gate”) makes direction questions easy later.

Classes 5–7

  • One type at a time. Spend a week on coding questions, then a week on directions, then a week on blood relations, a few a day.
  • Draw everything. A quick family tree, a direction sketch or a row of names solves most questions in seconds.
  • Test the options. For figure and series questions, checking each option against the rule is often faster than finding the rule first.
  • Fold real paper. For paper folding and cutting questions, a sheet of paper and scissors teach more than any explanation.

Classes 8–10

  • Mix types under time. By now students know the types; the skill is recognising them quickly in a mixed set.
  • Statements and conclusions. Practise saying exactly what a statement does and doesn’t prove, without adding assumptions.
  • Clock and calendar methods. Learn the reliable way, such as counting odd days, rather than counting on fingers.
  • Review by type. Note which types cost the most marks, and spend extra time there.

Classes 11–12

  • Logical reasoning in entrance and aptitude tests draws on the same types at a harder level, so the work carries over.
  • Syllogisms and arguments. Practise separating what follows from the statements from what merely sounds likely.
  • Speed with accuracy. Timed mixed sets, reviewed afterwards, build the pace these papers need.
  • Explain your method aloud. If you can’t explain how you got an answer, you may have guessed.

Example questions

These are original practice questions written for this page, not taken from any exam.

1. Letter series (Classes 2–4)

What letter comes next: A, C, E, G, …?

Answer: I. Each step skips one letter of the alphabet (A, skip B, C, skip D, and so on), so after G comes I.

2. The code (Classes 5–7)

If CAT is written as DBU, how is DOG written in the same code?

Answer: EPH. Each letter moves one place forward in the alphabet: D becomes E, O becomes P, and G becomes H.

3. The walk (Classes 5–7)

Meera walks 5 km north, turns right and walks 3 km, then turns right again and walks 5 km. Where is she now compared with where she started?

Answer: 3 km east of the start. She faces north, then east, then south, so the two 5 km walks cancel out and only the 3 km east remains.

4. The calendar (Classes 8–10)

If today is a Monday, what day of the week will it be 100 days from today?

Answer: Wednesday. 98 days is exactly 14 weeks, which brings us back to Monday, and 2 more days makes it Wednesday.

5. Does it follow? (Classes 11–12)

All roses are flowers. Some flowers fade quickly. Does it follow that some roses fade quickly?

Answer: No. The flowers that fade quickly might all be other kinds of flower, so the statements don’t tell us anything about roses fading.

Mistakes worth watching

  • Solving in your head. Direction, ranking and relation questions go wrong without a diagram. Draw it, however rough.
  • Finding a rule that fits only some terms. In a series, check the rule against every term, not just the first two.
  • Adding assumptions. In statement questions, use only what is written, even if something else seems likely.
  • Spending too long on one figure. If a figure question isn’t clear after a minute, mark a guess and come back.

For general preparation, including routines and mock papers, see the olympiad prep guide. The maths guide covers number patterns in more depth.

Where daily practice fits

A few reasoning questions a day keep these skills sharp between longer sessions. Ado’s free daily quiz of 8 questions, including a 60-second sprint, covers reasoning with maths, science, English and GK, ranked only against students the same age; it is a daily habit, not an olympiad course.

Reasoning: practice by class

All olympiad prep

Practice a little, every day

Ado is a free daily quiz in maths, science, English, GK and reasoning, ranked only against students the same age. The Ado Rank it builds never resets.

Set up for your child

For parents of students aged 6–17.

What the Ado Rank is