Thinking Skills Mock Test 2: 2027 NSW Selective Format

Master the new Janison-style Thinking Skills exam with our comprehensive 40-question mock test. Designed specifically for students targeting top-tier NSW Selective High Schools.

Duration

40 Minutes

Format

2027 NSW Format

Questions

40 multiple-choice

Level

Official Selective Test Level

Skills Covered in this Test

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

The breakdown

  • Detecting Reasoning Errors: Identifying flaws, assumptions, and gaps in arguments.
  • Matching Arguments: Recognising argument structures that are parallel or equivalent.
  • Relevant Selections: Choosing the option that best supports or completes an argument.
  • Identifying Similarity: Pattern and structure comparison across cases.
  • Syllogisms: Applying categorical logic and valid inference forms.
  • Drawing a Conclusion: Logic-based deduction and inference from given premises.

Sample Questions from Test 2

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

Thinking Skills

Four identical square tiles are placed in a 2×2 grid. Some tiles are rotated before placing. The finished 4×4…

Question 1 · Multiple choice

Question

Four identical square tiles are placed in a 2×2 grid. Some tiles are rotated before placing. The finished 4×4 pattern of cells looks like this (○ = white, ● = black):

○ ● ● ○
● ○ ○ ●
● ○ ○ ●
○ ● ● ○

Each tile is 2×2 (4 cells). Which description matches the design on each tile?

Options

  • A.All 4 cells are the same colour.
  • B.The top row is black and the bottom row is white.
  • C.Two diagonally opposite cells are black and the other two are white — a 2×2 checkerboard.
  • D.Only one corner cell is black; the rest are white.

Correct answer

C.Two diagonally opposite cells are black and the other two are white — a 2×2 checkerboard.

Explanation

Step 1: Split the 4×4 pattern into four 2×2 tiles.

The full pattern is:

○ ● ● ○
● ○ ○ ●
● ○ ○ ●
○ ● ● ○

Label the four tiles by their position:

[Tile A] [Tile B]
[Tile C] [Tile D]

Step 2: Read off each tile.

Tile A (rows 1–2, columns 1–2):

○ ●
● ○

Top-left = white, top-right = black, bottom-left = black, bottom-right = white. The two diagonally opposite cells (top-left and bottom-right) are white. The other two diagonally opposite cells (top-right and bottom-left) are black. → This is a checkerboard pattern. ✓

Tile B (rows 1–2, columns 3–4):

● ○
○ ●

Top-left and bottom-right = black. Top-right and bottom-left = white. → Same checkerboard, just rotated 90°. ✓

Tiles C and D (bottom half) follow the same pattern in the same way. ✓

Step 3: Identify the correct description.

All four tiles share the same design: two diagonally opposite cells are black, and the other two are white — which is exactly a 2×2 checkerboard.

Option C describes the tile correctly.

Thinking Skills

A net of a cube is shown below. Which of the following could be a possible view of the cube?

Question 2 · Multiple choice

Question

A net of a cube is shown below. Which of the following could be a possible view of the cube?

Cube net with downward arrow, upward arrow, and small black square faces, with four possible 3D cube views labelled A to D

Options

  • A.A
  • B.B
  • C.C
  • D.D

Correct answer

D.D

Explanation

Step 1 — Examine the given net.

The given net: two blank faces at the top, then a downward-pointing arrow face, then an upward-pointing arrow face, then a row with a blank face, the black-square face, and a blank face

The net contains:

  • A face with a downward-pointing arrow (▽)
  • A face with an upward-pointing arrow (△)
  • A face with a small black square in the corner
  • Three blank faces

Step 2 — Rotate the net to see how faces relate.

Rotated version of the net showing the two arrow faces side-by-side pointing toward each other, and the black-square face adjacent to the non-pointy (tail) end of the arrows

When the net is rotated, the two arrow faces sit side-by-side and point toward each other (the arrow tips face inward). The black-square face is adjacent to the non-pointy (tail) end of the arrows.

Step 3 — Fold the net into a 3D cube.

Folding sequence: the rotated net folds into a partially assembled cube showing the two arrow faces on adjacent sides pointing toward each other

The four straight faces wrap around; the two flaps fold up to form the top and bottom.

Step 4 — Eliminate options using the folded cube.

Partially folded cube with a blue arrow highlighting that the black square meets the arrow faces at their tail (non-pointy) end, not the tip

  • Option A: The two arrows do not point toward each other — one points away. On the folded cube the arrows must always face inward. ❌ Eliminated.

  • Option B: The black square is shown at the pointy (tip) end of the arrows. But from the net we know the black square is adjacent to the tail end. ❌ Eliminated.

  • Option C: Same problem as B — the black square appears at the tip of an arrow, which is impossible given the net. ❌ Eliminated.

  • Option D: The two arrows point toward each other, and the black square sits at the tail end of the arrow — exactly as the net requires. ✓ This is a possible view.

The answer is D.

Core Competencies

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

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