OC Thinking Skills Practice Test 7 — 2027 NSW Opportunity Class Exam

Sharpen deductive logic, argument evaluation, and analytical reasoning with this 30-question OC Thinking Skills practice test. Matched to the 2027 NSW Opportunity Class Placement Test format and timed to build real exam speed for Year 4/5 students.

Duration

30 Minutes

Format

2027 NSW Format

Questions

30 multiple-choice

Level

NSW OC Placement Test Level

Skills Covered in this Test

This practice test mirrors the official weightings of the NSW Department of Education exam.

The breakdown

  • Additional Evidence: Strengthening and weakening arguments with new information.
  • Matching Arguments: Recognising argument structures that are parallel or equivalent.
  • Truth/Liar Puzzles: Identifying truth-tellers and liars from statements and constraints.
  • Data Sufficiency: Deciding if given information is enough to answer the question.
  • Finding Procedures: Identifying the correct sequence or steps to reach an outcome.
  • Drawing a Conclusion: Logic-based deduction and inference from given premises.

Sample Questions from Test 7

The first two questions of this mock test (same order and wording as the timed exam).

Thinking Skills

Three billiard balls in a line are each solid red or solid yellow. The first ball struck is red. It hits the …

Question 1 · Multiple choice

Question

Three billiard balls in a line are each solid red or solid yellow. The first ball struck is red. It hits the middle ball; the middle ball then hits the last ball, which is yellow.

Options

Which statement must be true?

  • A.Exactly one ball is red.
  • B.A red ball directly hits a yellow ball at some point in the chain.
  • C.A yellow ball directly hits a red ball.
  • D.Exactly one ball is yellow.

Correct answer

B.A red ball directly hits a yellow ball at some point in the chain.

Explanation

The setup: Three balls in a row. Ball 1 is red. Ball 1 hits Ball 2 (middle). Ball 2 hits Ball 3, which is yellow.

Think about both possible colours for the middle ball.

Case 1: Middle ball is yellow. Ball 1 (red) strikes Ball 2 (yellow) — a red ball directly hits a yellow ball. ✓

Case 2: Middle ball is red. Ball 2 (red) strikes Ball 3 (yellow) — a red ball directly hits a yellow ball. ✓

In both possible cases, a red ball directly hits a yellow ball somewhere in the chain. So option B is always true.

Check the other options to confirm they are not always true.

  • A: "Exactly one ball is red." In Case 2, balls 1 and 2 are both red — two red balls. Not always true. ✗
  • C: "A yellow ball directly hits a red ball." In Case 2, ball 3 (yellow) is the last ball and hits nothing. Not always true. ✗
  • D: "Exactly one ball is yellow." In Case 1, balls 2 and 3 are both yellow — two yellow balls. Not always true. ✗

Option B is the one that must always be true.

Thinking Skills

Eight girls share four bedrooms in pairs in a boarding house. They are A (from India), B (from Japan), C (fro…

Question 2 · Multiple choice

Question

Eight girls share four bedrooms in pairs in a boarding house. They are A (from India), B (from Japan), C (from Pakistan), D (from France), E (from India), F (from Japan), G (from France) and H (from Spain).

Girls from the same country are not allowed to share a room.

A, B, C and D are in Rooms 1, 2, 3 and 4 respectively and F is assigned to Room 3 and H to Room 4.

Options

Which of the following statements MUST be correct?

  • A.E shares with A.
  • B.G shares with C.
  • C.E shares with B.
  • D.G shares with E.

Correct answer

C.E shares with B.

Explanation

The correct answer is C. E shares with B.

Here is a step-by-step logical breakdown of how to solve this boarding house puzzle.

Step 1: List the Nationalities

First, let's write down where everyone is from — the golden rule is that girls from the same country cannot share a room.

  • India: A and E
  • Japan: B and F
  • Pakistan: C
  • France: D and G
  • Spain: H

Step 2: Fill the Rooms with the Clues

The problem tells us exactly where six of the girls are sleeping:

  • A, B, C, and D are in Rooms 1, 2, 3, and 4 respectively.
  • F is in Room 3, H is in Room 4.
Room 1: [ A (India)    ] + [ Empty        ]
Room 2: [ B (Japan)    ] + [ Empty        ]
Room 3: [ C (Pakistan) ] + [ F (Japan)    ]  ← FULL
Room 4: [ D (France)   ] + [ H (Spain)    ]  ← FULL

Step 3: Figure out who is left

Rooms 3 and 4 are completely full. Only two empty beds remain (Room 1 and Room 2), and exactly two girls are waiting:

  • E (from India)
  • G (from France)

Step 4: Use the Golden Rule to place the last girls

Can E go into Room 1? No! Girl A is already in Room 1, and both are from India — same country, not allowed.

Since E is banned from Room 1, she must go into Room 2 and share with B.

That leaves only one bed in the house — Room 1 — for G (from France). A is from India and G is from France, so they are allowed to share. ✓

Step 5: The Final Diagram

Room 1: [ A (India)    ] + [ G (France)   ]
Room 2: [ B (Japan)    ] + [ E (India)    ]
Room 3: [ C (Pakistan) ] + [ F (Japan)    ]
Room 4: [ D (France)   ] + [ H (Spain)    ]

Checking the Options

  • A. E shares with A. ✗ False — E is in Room 2, A is in Room 1.
  • B. G shares with C. ✗ False — G is in Room 1, C is in Room 3.
  • C. E shares with B. ✓ True — they are both in Room 2.
  • D. G shares with E. ✗ False — they are in different rooms.

Core Competencies

Additional EvidenceData SufficiencyDetecting Reasoning ErrorsDrawing a ConclusionEvaluating HypothesesFinding ProceduresIdentifying SimilarityLogical DeductionMatching ArgumentsRelevant SelectionsSeating ArrangementsSpatial ReasoningSyllogismsTruth/Liar Puzzles

Prepare with Precision

  • Build deductive logic and analytical reasoning at OC exam speed.
  • Practise argument evaluation, spatial puzzles, and multi-variable reasoning.
  • Identify which OC Thinking Skills question types need the most work.

This public page gives students and parents a detailed look at the skills and question types covered in every OC Thinking Skills practice test. The full 30-question timed test—with real-time scoring and detailed review—is available to enrolled members, so your child can build real confidence for the 2027 NSW Opportunity Class exam.

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