Logic and Thinking worksheet with pattern recognition exercises for kids.

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🔍 Task 1: Complete the Pattern

> "Which of the following pieces completes the pattern?"

There is a large circle divided into sections, with one quarter shaded. The rest of the circle appears to be unshaded (white). Below it are four options labeled a), b), c), d) — each showing a quarter-circle shape, some shaded and some not.

#### Step-by-step Analysis:

- The large circle has one quarter shaded, and the shading is in the top-right quadrant.
- The shaded portion is diagonally striped.
- We need to find the piece that, when added to the existing circle, would complete a consistent pattern.

But wait — the question says “complete the pattern,” so we must consider what’s missing.

Looking at the large circle, it's already fully drawn with one quarter shaded. However, the options are small quarter-circle shapes, suggesting that the original circle may have been broken into parts, and one piece is missing.

Wait — actually, looking closely, the large circle is already complete, but only one quarter is shaded, and the other three are blank.

So perhaps the task is: Which quarter-shaped piece should be placed into the circle to match or complete the pattern?

But the circle already has one shaded quarter — so maybe the pattern is about how the shaded section fits?

Alternatively, perhaps the circle was originally divided into quarters, and one piece is missing — and we are to choose which of the options matches the missing piece.

But since only one quarter is shaded, and the others are blank, then the missing piece should be unshaded.

Wait — let’s look again.

Actually, the large circle has three-quarters unshaded, and one-quarter shaded. But the options show:

- a) A quarter-circle with no shading
- b) A quarter-circle with half-shaded (diagonal lines)
- c) A quarter-circle with full diagonal shading
- d) A quarter-circle with partial diagonal shading

Now, the shaded portion in the big circle is fully shaded with diagonal lines.

So if the shaded part is fully shaded, and the rest are blank, then the missing piece (if any) should be unshaded.

But the circle seems already complete — unless the shaded region is meant to represent a pattern, and we’re supposed to match a piece that continues the design.

Alternatively, this might be a pattern completion where the shape of the shaded area matters.

But here's a better interpretation:

👉 The large circle is divided into four equal parts, and one quarter is shaded. The task is: Which of the four small quarter-circle pieces (a–d) could be used to complete the pattern?

But the circle is already complete. So likely, the shaded quarter is part of a larger pattern, and the missing piece is not shaded.

But the options include different types of shading.

Wait — perhaps the shading style is important.

Looking at the shaded portion: it has diagonal lines, filling the entire quarter.

So the correct matching piece should have the same kind of shading — full diagonal shading.

But the shaded quarter is already present — so maybe the question is asking: which piece is identical to the shaded one?

That makes more sense.

So among options a–d, which one has the same shading as the shaded quarter in the large circle?

Let’s compare:

- a) No shading → ✘
- b) Half-shaded diagonally → ✘
- c) Fully shaded with diagonal lines → ✔
- d) Partially shaded → ✘

✔ So option c) matches the shaded quarter.

Therefore, answer: c)

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🔍 Task 2: Which object does not belong?

Below are three images inside a cloud-like outline:

1. A ball (sphere)
2. A die (cube)
3. A glass (cylinder)

We are to determine which does not belong.

Let’s analyze:

- Ball: 3D sphere
- Die: 3D cube
- Glass: 3D cylinder

All are 3D objects.

But let’s think about properties:

- Ball and die are solid objects (typically).
- Glass is hollow (it’s a container).

Or consider shapes:

- Ball: round/spherical
- Die: angular/cubic
- Glass: cylindrical

But all are different.

Alternative idea: Which one is not a geometric solid?

Wait — all are solids.

But glass is typically used to hold liquid, while ball and die are solid toys.

Another angle: Can they roll?

- Ball: rolls easily ✔
- Die: can roll, but less smoothly ✔
- Glass: doesn’t roll well — it slides or tips over ✘

But that’s subjective.

Better idea: Which one is not a regular polyhedron or uniform shape?

- Ball: perfect sphere — smooth
- Die: cube — regular polyhedron
- Glass: cylinder — has curved surface, but not a polyhedron

But glass is still a cylinder, a common 3D shape.

Wait — another clue: Which one is not made of the same material?

But we don’t know materials.

Perhaps the key is function.

- Ball and die are games/toys
- Glass is for drinking

But that’s weak.

Wait — look at symmetry or number of faces.

- Ball: no flat faces
- Die: 6 flat faces
- Glass: 2 flat ends, 1 curved side

Still ambiguous.

But here’s a better idea:

👉 Which one is not a Platonic solid?

- Ball: not a Platonic solid (it’s a sphere)
- Die: cube — yes, a Platonic solid
- Glass: cylinder — not a Platonic solid

But both ball and glass are not Platonic solids.

Wait — perhaps the ball is the odd one out because it’s smooth and curved, while the die and glass have flat surfaces?

But glass has curved sides.

Alternatively: Which one cannot be stacked?

- Ball: hard to stack
- Die: can stack
- Glass: can stack (if same size)

But not reliable.

Wait — another possibility: Which one is not a solid object?

- Ball: solid
- Die: solid
- Glass: often hollow

Ah! That’s strong.

A glass is hollow, while the ball and die are solid.

So the glass does not belong.

✔ Therefore, the glass is the odd one out.

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✔ Final Answers:

1. Task 1: The piece that completes the pattern is c) — because it has the same diagonal shading as the shaded quarter in the large circle.

2. Task 2: The object that does not belong is the glass — because it is hollow, while the ball and die are solid.

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📝 Summary:

- Answer to Task 1: c
- Answer to Task 2: The glass does not belong.

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