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Logical deduction, solved properly

These questions look like puzzles and children treat them like puzzles — reading the clues, thinking hard, then guessing. They are not puzzles. They are a procedure, and the procedure fits in a minute.

A typical question

Who owns the rabbit?
Ava, Ben and Chloe each own a different pet: a rabbit, a cat and a fish.
• Ava does not own the rabbit or the cat.
• Ben owns the cat.
A. Ava   B. Ben   C. Chloe

The method: cross out, don't guess

Draw a grid. People down the side, possibilities across the top. Then take the clues one at a time and put a cross in every box a clue rules out.

Step 1 — "Ava does not own the rabbit or the cat"
RabbitCatFish
Ava✗✗
Ben
Chloe

Ava's row now has only one empty box, so Ava owns the fish — and if Ava owns the fish, nobody else can, so the rest of the fish column is out.

Step 2 — Ava must have the fish; then "Ben owns the cat"
RabbitCatFish
Ava✗✗✓
Ben✗✓✗
Chloe✓✗✗

Chloe owns the rabbit. Notice that the answer was never guessed. It was the last box standing.

Start with the most restrictive clue. Not the first one — the one that fixes something definitely, or rules out the most. Here, "Ava does not own the rabbit or the cat" eliminates two boxes in one move and immediately forces Ava's pet. Working the clues in the order they are printed is slower, and under a one-minute clock that matters.

The two rules that make the grid work

  1. One tick per row and one per column. Each person has exactly one pet and each pet has exactly one owner. So a tick immediately crosses out the rest of its row and the rest of its column. Children reliably remember the row and forget the column.
  2. A row with one empty box is solved. And so is a column with one empty box. Keep checking both after every clue.

"Must be true" is a different question

The other common Thinking Skills format looks like this:

"All swans in the park are white. This bird is a swan in the park."
Which conclusion MUST be true?
A. This bird is white
B. All white birds are swans
C. Some swans are not white
D. None of these must be true

The answer is A, and the reasoning is mechanical: every swan in the park is white, this is a swan in the park, therefore it is white. No room for doubt.

B reverses the statement, which is never allowed — "all swans are white" says nothing about whether other white birds exist. C contradicts what we were told. D is a trap for children who overthink.

The test for these: try to invent a situation where the statements are all true but the conclusion is false. If you can invent one, the conclusion does not must-be-true. If you genuinely cannot, it does.

The most expensive habit here is real-world knowledge. Children who know that black swans exist in Australia start arguing with the question. The statements given are the entire world for that question. Nothing outside them counts.

Another worked one

Which sport does Ella play?
Four friends each play one sport: tennis, netball, soccer, hockey.
• Dev plays tennis.   • Ella does not play netball or soccer.   • Finn plays soccer.

Dev takes tennis, Finn takes soccer — both columns close. Ella is barred from netball and soccer, and tennis is already gone, so only hockey remains. Ella plays hockey, and the fourth friend takes netball. Three clues, no guessing, about twenty seconds.

Why this section is worth preparing for

Thinking Skills needs no curriculum knowledge, which is exactly why it is so often left alone — there is nothing obvious to revise. But it is a quarter of the NSW Selective test (40 questions in 40 minutes) and a third of the Opportunity Class test (30 questions in 30 minutes).

A child who has never seen a grid question guesses and loses time. A child who has been taught the method solves the same question in under a minute, calmly. That gap is not intelligence. It is instruction, and it closes in a few weeks.

Thinking Skills is taught, not guessed at

See our OC exam preparation page for the full picture. We cover every Thinking Skills question type in live online classes — logical deduction, valid conclusions, assumptions, reasoning flaws, spatial patterns — with a teacher working through them on a shared whiteboard so your child can ask why. Practice tests come back with instant results, and you get a WhatsApp update after every class.

The first lesson is a demo class.