Thinking Skills Mock Test 19: 2027 NSW Selective Format

Out of 180 rabbits, all but 7 had at least one litter. So the number that had litters is: 180 - 7 = 173

Let: x = number of rabbits with exactly 1 litter y = number of rabbits with exactly 2 litters

Then: x + y = 173 because 173 rabbits had litters altogether.

The total number of litters was 263, so: x + 2y = 263

Now subtract the first equation from the second: (x + 2y) - (x + y) = 263 - 173 y = 90

So 90 rabbits had 2 litters. That means: x = 173 - 90 = 83

So 83 rabbits had exactly one litter.

Method 2: If all 173 had exactly one litter, there would be 173 litters. But there are actually 263 litters, which is 90 more. Each rabbit with two litters adds 1 extra litter, so 90 rabbits had two litters. Then 173 - 90 = 83 had one litter.

Step 1 — Identify the faces visible in each view.

The cube has 6 faces. From the three views:

View 1:  Top = Triangle,  Front = Circle,   Right = Diagonal
View 2:  Top = Triangle,  Front = Diagonal, Right = Square outline
View 3:  Top = Circle,    Front = Pentagon, Right = Diagonal

Step 2 — Deduce the opposite pairs.

From View 1 → View 2: The cube rotated (Diagonal moved from Right to Front, Square outline appeared on Right). This means the face BEHIND Circle in View 1 is the Square outline.

→ Circle is OPPOSITE Square outline ✓

From View 1 → View 3: The cube tilted forward (Circle moved from Front to Top, Pentagon appeared on Front, Triangle moved to the back).

→ Triangle is OPPOSITE Pentagon ✓

Step 3 — Find the sixth pair.

The six shapes are: Circle, Triangle, Diagonal, Square outline, Pentagon, and BLANK.

We've paired:

• Circle ↔ Square outline
• Triangle ↔ Pentagon

The only shapes left are: Diagonal and Blank

→ Blank is OPPOSITE the Diagonal (square with a single diagonal line) ✓

Answer: D — Square with a single diagonal line