Australia · Year 4

NSW OC Thinking Skills free practice questions with answers

Read question 1 and its full worked answer from paper 1 of our 20-paper NSW OC Thinking Skills set, then download the 4-page PDF. These are original practice questions, not official past papers. Page updated 3 November 2026.

Question 1

A trophy went missing. Exactly one of 4 people took it. Exactly 3 of the 4 statements are true. Vic says: "It was not Max." Max says: "It was Vic." Gus says: "It was Quin." Quin says: "It was not me." Who took it?

A Quin

B Gus

C Vic

D Max

Worked answer

Correct answer: C — Vic

  • Test each person as the culprit and count how many statements would then be true. We need exactly

3.

  • If Vic did it: 3 statements are true. This matches.
  • If Max did it: 1 statement is true. This does not match.
  • If Gus did it: 2 statements are true. This does not match.
  • If Quin did it: 2 statements are true. This does not match.
  • Only Vic gives exactly 3 true statements.
  • Why the other options are wrong:
  • A (Quin): If Quin did it, the number of true statements would be 2, not 3.
  • B (Gus): If Gus did it, the number of true statements would be 2, not 3.
  • D (Max): If Max did it, the number of true statements would be 1, not 3.

Make a small table: culprits down the side, statements across the top, true or false in each cell.

Download the free sample: 3 questions and answers (PDF)

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Questions about this sample

What is in the NSW OC Thinking Skills free sample?

The first 3 questions from paper 1 of the set, in the real exam layout, followed by the step-by-step worked answers. It is a 4-page PDF; this page shows question 1 with its answer.

How many full NSW OC Thinking Skills papers are there?

20 original papers for Year 4 students preparing for NSW Opportunity Class entry. Each is 30 multiple-choice questions in 30 minutes (4 options each, no calculator), with a worked solution for every question. Papers start at A$11.99 and download instantly as a PDF.

Are these official past papers?

No. The sample is taken from our own original practice paper and is not an official past paper or affiliated with any exam authority.