Logic puzzle worksheet with clues and a grid to determine each child's grade and favorite color.

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

We have:

- Four children: Amanda, Bill, Cathy, Dorothy
- Four grades: 1st, 2nd, 3rd, 4th
- Four colors: Blue, Red, Pink, Green

Each child is in a unique grade and has a unique favorite color. We need to determine each child’s grade and favorite color based on the clues.

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Step 1: Analyze the Clues

#### Clue 1: The 4th grader is a boy who does not like pink.
- So, the 4th grader is a boy → must be Bill (since Amanda, Cathy, Dorothy are female names; Bill is male).
- Also, the 4th grader does not like pink → so his favorite color ≠ pink.

So:
- Bill is in 4th grade
- Bill does NOT like pink

From the table:
- Bill is already marked with an "O" in 4th grade ✔
- So we can eliminate pink for Bill → already shown as X in pink column for Bill ✔

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#### Clue 2: Dorothy is the youngest and likes blue.
- "Youngest" = 1st grade
- Dorothy likes blue

So:
- Dorothy is in 1st grade
- Dorothy's favorite color is blue

Check the table:
- Dorothy has an "O" in 1st grade ✔
- Dorothy has an "O" in blue ✔

So far:
- Dorothy → 1st grade, blue

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#### Clue 3: Cathy is one grade ahead of Amanda.
- So if Amanda is in grade X, Cathy is in grade X+1
- Possible pairs:
- Amanda = 1st → Cathy = 2nd
- Amanda = 2nd → Cathy = 3rd
- Amanda = 3rd → Cathy = 4th
- Amanda = 4th → Cathy = 5th → impossible (no 5th grade)

So possible combinations:
- (Amanda: 1st, Cathy: 2nd)
- (Amanda: 2nd, Cathy: 3rd)
- (Amanda: 3rd, Cathy: 4th)

But we already know:
- Dorothy is in 1st grade → so Amanda cannot be in 1st grade (only one person per grade)
→ So Amanda ≠ 1st → eliminate first option

Thus:
- Either:
- Amanda = 2nd → Cathy = 3rd
- Amanda = 3rd → Cathy = 4th

Now recall from earlier:
- Bill is in 4th grade → so Cathy cannot be in 4th grade (only one per grade)
→ So Cathy ≠ 4th → eliminate second option

Therefore:
- Only possibility: Amanda = 2nd, Cathy = 3rd

So now we have:
- Amanda → 2nd grade
- Cathy → 3rd grade
- Bill → 4th grade
- Dorothy → 1st grade

All grades assigned!

Now assign colors.

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#### Clue 4: The 2nd grader likes red.
- 2nd grader is Amanda → Amanda likes red

So:
- Amanda → red

Update table:
- Amanda → 2nd grade, red

Now let's fill in what we know:

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

Colors left: Pink, Green

Available colors:
- Blue → Dorothy
- Red → Amanda
- Pink → ?
- Green → ?

So Cathy and Bill must have pink and green.

But from Clue 1: 4th grader (Bill) does not like pink → so Bill ≠ pink → Bill must like green

Then Cathy must like pink

Final assignments:

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

Now let’s verify all clues:

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Check Clues:

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

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

3. Cathy is one grade ahead of Amanda.
- Amanda = 2nd, Cathy = 3rd → yes ✔

4. The 2nd grader likes red.
- Amanda = 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 |

✔ All solved!