Thinking Skills Mock Test 7: 2027 NSW Selective Format

Step 1 — Find the magic sum of the original square.

In a magic square, all rows, columns, and diagonals add to the same number. Check any row:

Row 1: 2 + 7 + 6 = 15 ✓ Row 2: 9 + 5 + 1 = 15 ✓ Row 3: 4 + 3 + 8 = 15 ✓

The original magic sum = 15

Step 2 — What happens when every number is doubled?

When every number in the square is multiplied by 2:

| 4 | 14 | 12 | | 18 | 10 | 2 | | 8 | 6 | 16 |

Check the new rows: Row 1: 4 + 14 + 12 = 30 ✓ Row 2: 18 + 10 + 2 = 30 ✓ Row 3: 8 + 6 + 16 = 30 ✓

Step 3 — Why does this work?

Every number was doubled → every sum is also doubled.

New magic sum = 15 × 2 = 30

Answer: 30

Step 1 — Identify the net.

The net has a grey semi-circle on one face and a black semi-circle on the opposite face, with the curved edges pointing toward each other (flat edge at the fold line).

Step 2 — Rotate the net to see the relationship between faces.

Rotating the net reveals how the four straight faces wrap around and the two flap faces form the top and bottom.

Step 3 — Fold the net into a 3D cube.

Once folded, the grey and black semi-circles sit on opposite faces of the cube, each with the flat edge along the same fold direction. Use this 3D model to check each option:

• Option A: Shows a grey semi-circle on a side face. The top face should then show a black semi-circle — but Option A shows the top face blank. ❌ Not a possible view.

• Option B: Shows a black semi-circle on the front-left face. The adjacent visible face should then show a grey semi-circle — but Option B shows that face blank. ❌ Not a possible view.

• Option D: Shows grey and black semi-circles on adjacent visible faces, but their orientations are inconsistent with the folded cube — the curved edges point in the wrong direction relative to each other. ❌ Not a possible view.

• Option C: Shows a grey semi-circle on the top-right face with the correct orientation and position consistent with the 3D model. ✓ This is a possible view.

The answer is C.