Timed Practice: Mixed AR Question Types

This final lesson simulates real UCAT conditions. You will encounter a mix of Type 1 (Set A / Set B / Neither), Type 2 (sequence), Type 3 (analogy), and Type 4 (set membership from options) questions. The target is 14 seconds per question — the actual UCAT pace. Work through each question, then review the detailed solution.

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How to Use This Lesson

1. Set a timer for each question (14 seconds)
2. Read the question, identify the type, apply the appropriate strategy
3. Record your answer before the timer expires
4. Read the solution only after answering
5. Track your results in the scoring table at the end

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Question 1: Type 1 (Set A / Set B / Neither)

Set A:

• Box 1: One black circle, one black triangle, one black square (3 shapes, all black)
• Box 2: One black pentagon, one black hexagon, one black diamond (3 shapes, all black)
• Box 3: One black rectangle, one black arrow, one black circle (3 shapes, all black)
• Box 4: One black hexagon, one black triangle, one black pentagon (3 shapes, all black)
• Box 5: One black square, one black circle, one black arrow (3 shapes, all black)
• Box 6: One black diamond, one black rectangle, one black triangle (3 shapes, all black)

Set B:

• Box 1: Two white circles (2 shapes, all white)
• Box 2: Four white triangles (4 shapes, all white)
• Box 3: One white hexagon (1 shape, all white)
• Box 4: Three white squares (3 shapes, all white)
• Box 5: Five white pentagons (5 shapes, all white)
• Box 6: Two white diamonds (2 shapes, all white)

Test shape: Three black pentagons.

14 seconds — go!

Solution

Set A rule: Exactly 3 shapes AND all shapes are black. Set B rule: All shapes are white (number varies).

Test shape: 3 shapes ✓ AND all black ✓ → Set A

Key insight: This is a compound rule for Set A (number + colour). Set B has only a colour rule. If the test shape had 3 white shapes, it would satisfy Set A's number condition but not the colour condition, and it would satisfy Set B's colour condition → Set B.

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Question 2: Type 2 (Sequence)

Sequence:

• Box 1: A black arrow pointing up in the centre. One small white circle in the top-left corner.
• Box 2: A grey arrow pointing right in the centre. Two small white circles in the top-left corner.
• Box 3: A white arrow pointing down in the centre. Three small white circles in the top-left corner.
• Box 4: A black arrow pointing left in the centre. Four small white circles in the top-left corner.

What comes next?

14 seconds — go!

Solution

Channel 1 — Arrow direction: Up → Right → Down → Left (90° CW each step). Next: Up (cycle restarts).

Channel 2 — Arrow colour: Black → Grey → White → Black (3-step cycle). Next: Grey.

Channel 3 — Circle count: 1 → 2 → 3 → 4. Next: 5.

Answer: A grey arrow pointing up in the centre. Five small white circles in the top-left corner.

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Question 3: Type 3 (Analogy)

Shape A: A small white square in the top-left corner of the box.

Shape B: A large black square in the bottom-right corner of the box.

Shape C: A small white circle in the bottom-left corner of the box.

What is Shape D?

14 seconds — go!

Solution

Transformation from A to B:

1. Size: small → large
2. Colour: white → black
3. Position: top-left → bottom-right (diagonally opposite corner)

Apply to C:

1. Size: small → large
2. Colour: white → black
3. Position: bottom-left → top-right (diagonally opposite corner)

Shape D: A large black circle in the top-right corner.

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Question 4: Type 4 (Set Membership from Options)

Set A:

• Box 1: Circle inside a square (containment)
• Box 2: Triangle inside a hexagon (containment)
• Box 3: Pentagon inside a circle (containment)
• Box 4: Diamond inside a rectangle (containment)
• Box 5: Arrow inside a pentagon (containment)
• Box 6: Square inside a hexagon (containment)

Set B:

• Box 1: Circle and square side by side (no containment)
• Box 2: Triangle overlapping a hexagon (overlap, not containment)
• Box 3: Pentagon and circle separate (no containment)
• Box 4: Diamond far from rectangle (separate)
• Box 5: Arrow and pentagon touching edges (adjacent, not contained)
• Box 6: Square and hexagon overlapping partially (overlap)

Which of the following belongs to Set A?

• Option A: A triangle next to a circle (side by side, not contained)
• Option B: A hexagon inside a large triangle (containment)
• Option C: A square overlapping a pentagon (partial overlap)
• Option D: Three separate circles (no containment or overlap)

14 seconds — go!

Solution

Set A rule: One shape is inside (contained within) another shape. Set B rule: No containment — shapes are side by side, overlapping, or separate.

Option A: Side by side → Set B pattern ✗ Option B: Hexagon inside triangle → Containment ✓ → Set A Option C: Overlapping → Set B pattern ✗ Option D: Separate → Set B pattern ✗

Answer: Option B

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Question 5: Type 1 with "Neither"