Hard Logic Puzzle for Kids | Woo! Jr. Kids Activities : Childrens ... - Free Printable

Let's solve this logic puzzle step by step using the clues provided.

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Children:

- Amanda
- Bill
- Cathy
- Dorothy

Grades:

- 1st, 2nd, 3rd, 4th

Colors:

- Blue, Red, Pink, Green

Each child is in a different grade and has a different favorite color.

We'll use a grid to track possibilities and eliminate based on clues.

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Clues:

1. The 4th grader is a boy who does not like pink.
→ So, 4th grader is male (Bill or... wait — names: Amanda, Bill, Cathy, Dorothy)
- Amanda and Dorothy are female names.
- Bill and Cathy? Cathy could be either, but typically considered female.
But "Cathy" is usually female; "Bill" is male.
So likely: Bill is the only clearly male name here.
→ So Bill is the 4th grader, and he does not like pink.

2. Dorothy is the youngest and likes blue.
→ Youngest = 1st grade → Dorothy is in 1st grade
→ Dorothy’s favorite color is blue

3. Cathy is one grade ahead of Amanda.
→ So if Amanda is in 1st, Cathy is in 2nd
→ If Amanda is in 2nd, Cathy is in 3rd
→ If Amanda is in 3rd, Cathy is in 4th
→ Cannot be: Amanda in 4th → no grade above

4. The 2nd grader likes red.
→ So whoever is in 2nd grade has favorite color red

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Let’s begin solving.

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Step 1: Use Clue 2

> Dorothy is the youngest and likes blue.
→ Dorothy is in 1st grade
→ Dorothy’s color is blue

So fill that in:

| | 1st | 2nd | 3rd | 4th | Blue | Red | Pink | Green |
|--------|-----|-----|-----|-----|------|-----|------|-------|
| Amanda | | | | | | | | |
| Bill | | | | | | | | |
| Cathy | | | | | | | | |
| Dorothy| ✔ | | | | ✔ | | | |

Now, from clue 1:
> The 4th grader is a boy who does not like pink.

Only boy among the four is Bill (assuming standard naming).
So Bill is in 4th grade, and he does not like pink.

So:

- Bill → 4th grade
- Bill ≠ pink

Update table:

| | 1st | 2nd | 3rd | 4th | Blue | Red | Pink | Green |
|--------|-----|-----|-----|-----|------|-----|------|-------|
| Amanda | | | | | | | | |
| Bill | | | | ✔ | | | ✘ | |
| Cathy | | | | | | | | |
| Dorothy| ✔ | | | | ✔ | | | |

Now, grades left:
- 1st: Dorothy
- 4th: Bill
- So 2nd and 3rd: Amanda and Cathy

From clue 3:
> Cathy is one grade ahead of Amanda.

So possible pairs:
- Amanda: 1st → Cathy: 2nd → but 1st is taken by Dorothy → invalid
- Amanda: 2nd → Cathy: 3rd → possible
- Amanda: 3rd → Cathy: 4th → but 4th is Bill → invalid

So only possibility:
→ Amanda = 2nd grade
→ Cathy = 3rd grade

Update:

| | 1st | 2nd | 3rd | 4th | Blue | Red | Pink | Green |
|--------|-----|-----|-----|-----|------|-----|------|-------|
| Amanda | | ✔ | | | | | | |
| Bill | | | | ✔ | | | ✘ | |
| Cathy | | | ✔ | | | | | |
| Dorothy| ✔ | | | | ✔ | | | |

Now clue 4:
> The 2nd grader likes red.

Amanda is in 2nd grade → Amanda likes red

Update:

| | 1st | 2nd | 3rd | 4th | Blue | Red | Pink | Green |
|--------|-----|-----|-----|-----|------|-----|------|-------|
| Amanda | | ✔ | | | | ✔ | | |
| Bill | | | | ✔ | | | ✘ | |
| Cathy | | | ✔ | | | | | |
| Dorothy| ✔ | | | | ✔ | | | |

Now assign colors.

Colors used:
- Blue → Dorothy
- Red → Amanda
- So remaining colors: Pink, Green
- Remaining children: Bill, Cathy

But Bill does not like pink (from clue 1), so Bill must like green

Then Cathy must like pink

Now update:

| | 1st | 2nd | 3rd | 4th | Blue | Red | Pink | Green |
|--------|-----|-----|-----|-----|------|-----|------|-------|
| Amanda | | ✔ | | | | ✔ | | |
| Bill | | | | ✔ | | | ✘ | ✔ |
| Cathy | | | ✔ | | | | ✔ | |
| Dorothy| ✔ | | | | ✔ | | | |

Now check if all constraints are satisfied.

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Final Assignments:

#### Grades:
- Dorothy → 1st
- Amanda → 2nd
- Cathy → 3rd
- Bill → 4th

#### Colors:
- Dorothy → Blue
- Amanda → Red
- Bill → Green
- Cathy → Pink

Now verify all clues:

1. The 4th grader is a boy who does not like pink.
→ Bill is 4th grader, male, likes green → ✔

2. Dorothy is the youngest and likes blue.
→ 1st grade = youngest → yes, likes blue → ✔

3. Cathy is one grade ahead of Amanda.
→ Amanda: 2nd, Cathy: 3rd → ✔

4. The 2nd grader likes red.
→ Amanda is 2nd, likes red → ✔

All clues satisfied!

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Final Answer:

| Child | Grade | Favorite Color |
|---------|-------|----------------|
| Amanda | 2nd | Red |
| Bill | 4th | Green |
| Cathy | 3rd | Pink |
| Dorothy | 1st | Blue |

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Now fill the grid accordingly.

Final Grid:

| | 1st | 2nd | 3rd | 4th | Blue | Red | Pink | Green |
|--------|-----|-----|-----|-----|------|-----|------|-------|
| Amanda | | ✔ | | | | ✔ | | |
| Bill | | | | ✔ | | | | ✔ |
| Cathy | | | ✔ | | | | ✔ | |
| Dorothy| ✔ | | | | ✔ | | | |
| Blue | ✔ | | | | ✔ | | | |
| Red | | ✔ | | | | ✔ | | |
| Pink | | | ✔ | | | | ✔ | |
| Green | | | | ✔ | ✔ | | | ✔ |

(Note: The bottom rows are for tracking which grade likes each color.)

✔ All solved!