Free Online IQ Test for Kids - MentalUP - Free Printable
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Step-by-step solution for: Free Online IQ Test for Kids - MentalUP
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Show Answer Key & Explanations
Step-by-step solution for: Free Online IQ Test for Kids - MentalUP
Let’s solve this logic game step by step.
We are given two examples of transformations:
First example (top row):
Left side:
- Top shape: pink hexagon with a yellow circle inside, and inside that circle is a small cyan square.
- Bottom shape: solid cyan rectangle.
Right side (result):
- A single vertical cyan rectangle.
- Inside it: a large yellow circle.
- Inside the yellow circle: a pink hexagon.
- Inside the pink hexagon: the same small cyan square.
So what happened?
→ The bottom shape (cyan rectangle) became the background/container.
→ The top shape’s outer layer (pink hexagon) moved *inside* the yellow circle.
→ The yellow circle from the top shape became larger and now contains the pink hexagon.
→ The innermost shape (cyan square) stayed in the center.
→ Also note: the colors seem to have swapped roles — the bottom shape’s color (cyan) became the background; the top shape’s middle layer (yellow) became the main container inside; the top shape’s outer layer (pink) went inside the yellow; and the innermost (cyan square) remained.
Wait — let’s look more carefully at layers:
Original top object has 3 nested shapes:
1. Outer: pink hexagon
2. Middle: yellow circle
3. Inner: cyan square
Bottom object: cyan rectangle (solid)
Result:
- Background: cyan (from bottom object)
- Then: yellow circle (was middle layer of top object)
- Then: pink hexagon (was outer layer of top object) → now inside yellow circle
- Then: cyan square (innermost, unchanged position relative to center)
So transformation rule seems to be:
→ Take the bottom shape’s color as the new background.
→ Take the middle layer of the top shape and make it the next layer inward (now surrounding the former outer layer).
→ Move the outer layer of the top shape inside the middle layer.
→ Keep the innermost shape where it is.
→ Essentially: reverse the order of the top shape’s layers, but keep the innermost fixed? Not exactly.
Actually, let’s think differently.
In the first example:
Top object layers (outside to inside):
Pink hexagon → Yellow circle → Cyan square
After transformation, inside the cyan background:
Yellow circle → Pink hexagon → Cyan square
So the order of the top object’s layers got reversed EXCEPT the innermost stays last? Wait:
Original sequence (outer to inner): [Pink, Yellow, Cyan]
New sequence (from outside in, after background): [Yellow, Pink, Cyan]
That’s not a full reversal. Reversal would be [Cyan, Yellow, Pink] — no.
Wait — perhaps it’s: take the middle layer and put it on the outside (but still inside the background), then put the original outer layer inside that, then keep the innermost.
Yes! That fits:
Step-by-step for top object:
- Original: Layer1 (outer) = Pink hexagon, Layer2 = Yellow circle, Layer3 (inner) = Cyan square
- After: New Layer1 (just inside background) = Layer2 (Yellow circle), New Layer2 = Layer1 (Pink hexagon), New Layer3 = Layer3 (Cyan square)
So: swap Layer1 and Layer2, keep Layer3.
Now apply this to the second example.
Second example (bottom row):
Left side:
- Top shape: cyan circle with a yellow hexagon inside, and inside that hexagon is a small pink square.
- Bottom shape: solid pink rectangle.
So top object layers (outer to inner):
Layer1: cyan circle
Layer2: yellow hexagon
Layer3: pink square
Bottom object: pink rectangle → so background will be pink.
Apply the same rule:
→ Swap Layer1 and Layer2 of the top object.
→ Keep Layer3.
So new internal structure (inside the pink background):
New Layer1: Layer2 = yellow hexagon
New Layer2: Layer1 = cyan circle
New Layer3: Layer3 = pink square
Wait — but hold on: in the first example, when we swapped Layer1 and Layer2, we kept their shapes? Yes.
In first example:
Original Layer1: pink hexagon → became New Layer2
Original Layer2: yellow circle → became New Layer1
Similarly here:
Original Layer1: cyan circle → should become New Layer2
Original Layer2: yellow hexagon → should become New Layer1
Original Layer3: pink square → remains New Layer3
So inside the pink background, we should have:
- First (closest to background): yellow hexagon
- Inside that: cyan circle
- Inside that: pink square
But wait — does the shape type matter? In the first example, the shapes were preserved: hexagon stayed hexagon, circle stayed circle, etc.
Here, original Layer1 was a circle, Layer2 was a hexagon.
After swapping:
New Layer1 (first inside background): yellow hexagon (was Layer2)
New Layer2: cyan circle (was Layer1)
New Layer3: pink square (unchanged)
So the final image should be:
- Background: pink rectangle (vertical)
- Inside: yellow hexagon
- Inside yellow hexagon: cyan circle
- Inside cyan circle: pink square
Now look at the options:
a) Pink background → yellow hexagon → cyan circle → pink square? Let's check:
Option a:
Background: pink
Inside: yellow hexagon
Inside that: cyan circle? No — looks like inside yellow hexagon is a cyan square? Wait, no — looking again.
Actually, let me describe each option based on the image:
Option a:
- Vertical pink rectangle
- Inside: yellow hexagon
- Inside yellow hexagon: cyan square? Or circle? From the image, it appears to be a cyan square inside the yellow hexagon, and then a pink dot? No — actually, in option a, inside the yellow hexagon is a cyan square, and inside that is a pink circle? That doesn’t match.
Wait — I need to interpret the options correctly.
Looking back at the first result:
In the first transformed image:
- Cyan background
- Large yellow circle
- Inside yellow circle: pink hexagon
- Inside pink hexagon: small cyan square
So the nesting is clear.
For the second problem, we expect:
- Pink background (from bottom shape)
- Then: yellow hexagon (was middle layer of top object)
- Then: cyan circle (was outer layer of top object)
- Then: pink square (innermost, unchanged)
So visually: pink rectangle containing a yellow hexagon, which contains a cyan circle, which contains a pink square.
Now check options:
Option b:
- Cyan background → wrong, because bottom shape is pink, so background should be pink. Eliminate b.
Option c:
- Pink background → good.
- Inside: yellow hexagon → good.
- Inside yellow hexagon: cyan circle? Looking at the image — yes, it appears to be a cyan circle inside the yellow hexagon.
- Inside cyan circle: pink square → yes.
Perfect match.
Option a:
- Pink background
- Yellow hexagon
- But inside yellow hexagon: it looks like a cyan square, and then a pink circle? Or maybe it’s drawn differently — but definitely not a cyan circle containing a pink square. In fact, in option a, the innermost is a pink circle, not a square. So incorrect.
Therefore, only option c matches our derived structure.
Final verification:
Rule confirmed from first example:
- Bottom shape color becomes background.
- Top object’s middle layer becomes the first layer inside background.
- Top object’s outer layer becomes the second layer (inside the middle layer).
- Innermost layer remains as is.
Applied to second case:
Bottom: pink → background pink.
Top object:
Outer: cyan circle → becomes second layer inside
Middle: yellow hexagon → becomes first layer inside
Inner: pink square → remains innermost
So: pink bg → yellow hexagon → cyan circle → pink square → matches option c.
Final Answer:
c
We are given two examples of transformations:
First example (top row):
Left side:
- Top shape: pink hexagon with a yellow circle inside, and inside that circle is a small cyan square.
- Bottom shape: solid cyan rectangle.
Right side (result):
- A single vertical cyan rectangle.
- Inside it: a large yellow circle.
- Inside the yellow circle: a pink hexagon.
- Inside the pink hexagon: the same small cyan square.
So what happened?
→ The bottom shape (cyan rectangle) became the background/container.
→ The top shape’s outer layer (pink hexagon) moved *inside* the yellow circle.
→ The yellow circle from the top shape became larger and now contains the pink hexagon.
→ The innermost shape (cyan square) stayed in the center.
→ Also note: the colors seem to have swapped roles — the bottom shape’s color (cyan) became the background; the top shape’s middle layer (yellow) became the main container inside; the top shape’s outer layer (pink) went inside the yellow; and the innermost (cyan square) remained.
Wait — let’s look more carefully at layers:
Original top object has 3 nested shapes:
1. Outer: pink hexagon
2. Middle: yellow circle
3. Inner: cyan square
Bottom object: cyan rectangle (solid)
Result:
- Background: cyan (from bottom object)
- Then: yellow circle (was middle layer of top object)
- Then: pink hexagon (was outer layer of top object) → now inside yellow circle
- Then: cyan square (innermost, unchanged position relative to center)
So transformation rule seems to be:
→ Take the bottom shape’s color as the new background.
→ Take the middle layer of the top shape and make it the next layer inward (now surrounding the former outer layer).
→ Move the outer layer of the top shape inside the middle layer.
→ Keep the innermost shape where it is.
→ Essentially: reverse the order of the top shape’s layers, but keep the innermost fixed? Not exactly.
Actually, let’s think differently.
In the first example:
Top object layers (outside to inside):
Pink hexagon → Yellow circle → Cyan square
After transformation, inside the cyan background:
Yellow circle → Pink hexagon → Cyan square
So the order of the top object’s layers got reversed EXCEPT the innermost stays last? Wait:
Original sequence (outer to inner): [Pink, Yellow, Cyan]
New sequence (from outside in, after background): [Yellow, Pink, Cyan]
That’s not a full reversal. Reversal would be [Cyan, Yellow, Pink] — no.
Wait — perhaps it’s: take the middle layer and put it on the outside (but still inside the background), then put the original outer layer inside that, then keep the innermost.
Yes! That fits:
Step-by-step for top object:
- Original: Layer1 (outer) = Pink hexagon, Layer2 = Yellow circle, Layer3 (inner) = Cyan square
- After: New Layer1 (just inside background) = Layer2 (Yellow circle), New Layer2 = Layer1 (Pink hexagon), New Layer3 = Layer3 (Cyan square)
So: swap Layer1 and Layer2, keep Layer3.
Now apply this to the second example.
Second example (bottom row):
Left side:
- Top shape: cyan circle with a yellow hexagon inside, and inside that hexagon is a small pink square.
- Bottom shape: solid pink rectangle.
So top object layers (outer to inner):
Layer1: cyan circle
Layer2: yellow hexagon
Layer3: pink square
Bottom object: pink rectangle → so background will be pink.
Apply the same rule:
→ Swap Layer1 and Layer2 of the top object.
→ Keep Layer3.
So new internal structure (inside the pink background):
New Layer1: Layer2 = yellow hexagon
New Layer2: Layer1 = cyan circle
New Layer3: Layer3 = pink square
Wait — but hold on: in the first example, when we swapped Layer1 and Layer2, we kept their shapes? Yes.
In first example:
Original Layer1: pink hexagon → became New Layer2
Original Layer2: yellow circle → became New Layer1
Similarly here:
Original Layer1: cyan circle → should become New Layer2
Original Layer2: yellow hexagon → should become New Layer1
Original Layer3: pink square → remains New Layer3
So inside the pink background, we should have:
- First (closest to background): yellow hexagon
- Inside that: cyan circle
- Inside that: pink square
But wait — does the shape type matter? In the first example, the shapes were preserved: hexagon stayed hexagon, circle stayed circle, etc.
Here, original Layer1 was a circle, Layer2 was a hexagon.
After swapping:
New Layer1 (first inside background): yellow hexagon (was Layer2)
New Layer2: cyan circle (was Layer1)
New Layer3: pink square (unchanged)
So the final image should be:
- Background: pink rectangle (vertical)
- Inside: yellow hexagon
- Inside yellow hexagon: cyan circle
- Inside cyan circle: pink square
Now look at the options:
a) Pink background → yellow hexagon → cyan circle → pink square? Let's check:
Option a:
Background: pink
Inside: yellow hexagon
Inside that: cyan circle? No — looks like inside yellow hexagon is a cyan square? Wait, no — looking again.
Actually, let me describe each option based on the image:
Option a:
- Vertical pink rectangle
- Inside: yellow hexagon
- Inside yellow hexagon: cyan square? Or circle? From the image, it appears to be a cyan square inside the yellow hexagon, and then a pink dot? No — actually, in option a, inside the yellow hexagon is a cyan square, and inside that is a pink circle? That doesn’t match.
Wait — I need to interpret the options correctly.
Looking back at the first result:
In the first transformed image:
- Cyan background
- Large yellow circle
- Inside yellow circle: pink hexagon
- Inside pink hexagon: small cyan square
So the nesting is clear.
For the second problem, we expect:
- Pink background (from bottom shape)
- Then: yellow hexagon (was middle layer of top object)
- Then: cyan circle (was outer layer of top object)
- Then: pink square (innermost, unchanged)
So visually: pink rectangle containing a yellow hexagon, which contains a cyan circle, which contains a pink square.
Now check options:
Option b:
- Cyan background → wrong, because bottom shape is pink, so background should be pink. Eliminate b.
Option c:
- Pink background → good.
- Inside: yellow hexagon → good.
- Inside yellow hexagon: cyan circle? Looking at the image — yes, it appears to be a cyan circle inside the yellow hexagon.
- Inside cyan circle: pink square → yes.
Perfect match.
Option a:
- Pink background
- Yellow hexagon
- But inside yellow hexagon: it looks like a cyan square, and then a pink circle? Or maybe it’s drawn differently — but definitely not a cyan circle containing a pink square. In fact, in option a, the innermost is a pink circle, not a square. So incorrect.
Therefore, only option c matches our derived structure.
Final verification:
Rule confirmed from first example:
- Bottom shape color becomes background.
- Top object’s middle layer becomes the first layer inside background.
- Top object’s outer layer becomes the second layer (inside the middle layer).
- Innermost layer remains as is.
Applied to second case:
Bottom: pink → background pink.
Top object:
Outer: cyan circle → becomes second layer inside
Middle: yellow hexagon → becomes first layer inside
Inner: pink square → remains innermost
So: pink bg → yellow hexagon → cyan circle → pink square → matches option c.
Final Answer:
c
Parent Tip: Review the logic above to help your child master the concept of printable iq tests with answers.