Sample OC Thinking Skills Questions Walkthrough

Why Walkthroughs Beat Answer Keys

A right answer tells you nothing about how to get there. The skill of Thinking Skills is in the reasoning process — and that only becomes clear when you see the steps a skilled solver takes. Below are five sample questions in the style of the current Cambridge-based OC test, with the thinking laid out.

Question 1 — Pattern Sequence

Look at the sequence below. Which number comes next?

2, 5, 11, 23, 47, ?

A) 71   B) 84   C) 95   D) 99

Walkthrough

1. Look at the gaps: 5 − 2 = 3, 11 − 5 = 6, 23 − 11 = 12, 47 − 23 = 24. The gaps are doubling
2. Better test: is each term twice the previous, plus something? 2 × 2 + 1 = 5. 5 × 2 + 1 = 11. 11 × 2 + 1 = 23. 23 × 2 + 1 = 47. The rule holds
3. Apply the rule: 47 × 2 + 1 = 95
4. Cross-check with the gap pattern: next gap should be 48, and 47 + 48 = 95. Both methods agree

Answer: C) 95. Key skill: When a number sequence is not a simple add/subtract, test the "× n + k" family next. Always verify with a second method.

Question 2 — Matrix Reasoning

Each row and each column contains a circle, a triangle, and a square — once each. Each row and each column also contains the colours red, blue, and yellow — once each. Which shape belongs in the missing cell?

A) red circle   B) blue circle   C) yellow square   D) blue triangle

Walkthrough

1. Row 3 already has triangle and square — the missing shape must be a circle
2. Column 3 already has square (row 1) and triangle (row 2) — the missing shape is a circle. Both directions agree
3. Row 3 already has yellow and red — the missing colour must be blue
4. Column 3 already has yellow and red — the missing colour is blue. Both directions agree
5. Combine: blue circle

Answer: B) blue circle. Key skill: Solve shape and colour as two independent Latin squares, and always check both the row and the column.

Question 3 — Shape Rotation

An "L"-shaped tile has a black dot at the top of its tall arm and an arrow pointing right on its short arm. The tile is rotated 90° clockwise. Where is the dot now, and where does the arrow point?

A) Dot on the right, arrow points down
B) Dot on the left, arrow points up
C) Dot at the top, arrow points right
D) Dot at the bottom, arrow points left

Walkthrough

1. Track one feature at a time. Start with the dot: it was at the top
2. Under a 90° clockwise rotation, top → right. So the dot is now on the right. Already this eliminates B, C, and D
3. Verify with the arrow: it pointed right. Under 90° clockwise, right → down. So the arrow now points down
4. Option A matches both features

Answer: A. Key skill: Rotate one landmark at a time, eliminate immediately, then confirm with a second landmark. Never try to rotate the whole shape at once in your head.

Question 4 — Logical Deduction

Four friends — Priya, Quentin, Rose, and Sam — each play a different sport: tennis, soccer, swimming, or running. Use the clues to match each friend to their sport.

• Priya does not play soccer and does not swim
• Quentin plays a ball sport (tennis or soccer)
• Rose plays a ball sport, but does not play tennis
• Sam swims

Walkthrough

1. Clue 4 is the firmest fact: Sam = swimming. Lock it in
2. Clue 3: Rose plays a ball sport (tennis or soccer) but not tennis. So Rose = soccer
3. Clue 2: Quentin plays tennis or soccer. Soccer is taken by Rose, so Quentin = tennis
4. That leaves running for Priya. Check clue 1: Priya doesn't play soccer or swim — running is fine. Priya = running
5. Read it back: Priya–running, Quentin–tennis, Rose–soccer, Sam–swimming. All four clues hold

Key skill: Start with the clue that pins a single value (here, "Sam swims"). Then chain forward by elimination. Always read the full solution back against every clue before moving on.

Question 5 — Abstract Rule

In each pair, the second shape is produced from the first by the same rule. Work out the rule, then choose the option that completes the last pair.

The four options:

Walkthrough

1. Resist the urge to name the rule from one pair alone. Two things change between the first and second shape — find both
2. Pair 1: up arrow → right arrow. That is a 90° clockwise rotation. The arrow also goes from filled (black) to hollow (white)
3. Pair 2: down arrow → left arrow. Down rotated 90° clockwise is left — same rotation. Black again becomes white — same colour flip. Two rules confirmed
4. Apply both rules to pair 3. Black right arrow, rotated 90° clockwise, becomes a down arrow. Then flip the fill: white down arrow
5. Check the options against both rules. A is the right direction but still black (missed the colour flip). B is white but only rotated 90° from up, not from right (missed the rotation). D is white but is up — that is a 90° anti-clockwise rotation, the wrong direction. Only C satisfies both rules

Answer: C) white down arrow. Key skill: When a rule has more than one part, the wrong answers are usually built to satisfy one part of the rule. Always check every candidate against every part of the rule before committing.

Common Patterns Across All Thinking Skills Questions

1. Identify what changes and what stays constant — isolates the rule
2. Describe the rule in plain words — makes it easier to apply
3. Test the rule on multiple examples — confirms you've got it right
4. Apply to the missing piece — usually mechanical once the rule is clear
5. Cross-check by elimination — verify by ruling out obviously wrong options

Why This Approach Works Under Time Pressure

Students who try to "see the answer" instantly often get stuck or confused. The walkthrough approach is slightly slower per question but much more reliable, especially for harder questions. Under timed conditions, reliability beats speed — missed questions cost more than slow questions.

Getting More Practice

Start with a free AcePath sample quiz to see which Thinking Skills question types feel hardest. Our Thinking Skills practice packs include hundreds of questions across all four major types, each with worked solutions that follow the walkthrough format shown above.

The more walkthroughs your child studies, the more automatic the reasoning patterns become. Thinking Skills is not about innate talent — it is about learned reasoning habits.