Printable Logic Puzzles for Kids | Woo! Jr. Kids Activities ... - Free Printable
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Step-by-step solution for: Printable Logic Puzzles for Kids | Woo! Jr. Kids Activities ...
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Show Answer Key & Explanations
Step-by-step solution for: Printable Logic Puzzles for Kids | Woo! Jr. Kids Activities ...
Let’s solve this logic puzzle step by step.
We have 4 children: Amanda, Bill, Cathy, Dorothy
They are in grades: 1st, 2nd, 3rd, 4th (each child is in a different grade)
Each has a favorite color: Blue, Red, Pink, Green (all different)
Clues:
1. The 4th grader is a boy who does not like pink.
2. Dorothy is the youngest and likes blue. → So Dorothy is in 1st grade, and her 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. (Amanda can’t be in 4th because then Cathy would be in 5th — impossible.)
4. The 2nd grader likes red.
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Step 1: From Clue 2 → Dorothy = 1st grade, favorite color = Blue.
So we can fill:
- Dorothy → 1st, Blue
Step 2: From Clue 4 → 2nd grader likes Red.
So whoever is in 2nd grade → favorite color = Red.
Step 3: From Clue 1 → 4th grader is a boy → so must be either Bill or Amanda? Wait — names: Amanda (girl), Bill (boy), Cathy (girl), Dorothy (girl). So only Bill is a boy besides possibly others? Actually, typically Bill is male, others female. So 4th grader = Bill (since he’s the only boy mentioned, and clue says “a boy”). Also, he does NOT like pink.
So:
- 4th grader = Bill
- Bill ≠ Pink
Also, since Dorothy is 1st, and 2nd likes Red, and 4th is Bill, then 3rd must be someone else.
Grades left for assignment: 2nd, 3rd, 4th → but 4th is Bill, 1st is Dorothy.
Children left to assign grades: Amanda, Cathy, Bill → but Bill is 4th, so Amanda and Cathy need 2nd and 3rd.
From Clue 3: Cathy is one grade ahead of Amanda.
So possible pairs:
- If Amanda is 2nd → Cathy is 3rd → valid
- If Amanda is 3rd → Cathy is 4th → but 4th is Bill → invalid
- If Amanda is 1st → already taken by Dorothy → invalid
So only possibility: Amanda = 2nd, Cathy = 3rd
Then:
- Amanda → 2nd
- Cathy → 3rd
- Bill → 4th
- Dorothy → 1st
Now colors:
Dorothy → Blue (from clue 2)
2nd grader (Amanda) → likes Red (clue 4)
Bill (4th grader) → does NOT like pink (clue 1)
Colors left: Pink, Green (since Blue and Red taken)
Cathy (3rd) and Bill (4th) need colors from {Pink, Green}
But Bill ≠ Pink → so Bill must be Green, Cathy must be Pink.
Wait — let’s check:
Assigned so far:
- Dorothy: 1st, Blue
- Amanda: 2nd, Red
- Cathy: 3rd, ?
- Bill: 4th, ?
Colors left: Pink, Green
Bill cannot like pink → so Bill = Green, Cathy = Pink
Is there any conflict?
Check all clues:
1. 4th grader is a boy (Bill) who does not like pink → yes, he likes Green → OK
2. Dorothy is youngest (1st) and likes blue → yes → OK
3. Cathy (3rd) is one grade ahead of Amanda (2nd) → yes → OK
4. 2nd grader (Amanda) likes red → yes → OK
All clues satisfied!
Final assignments:
- Amanda: 2nd grade, Red
- Bill: 4th grade, Green
- Cathy: 3rd grade, Pink
- Dorothy: 1st grade, Blue
✔ Verified.
Final Answer:
Amanda is in 2nd grade and likes red. Bill is in 4th grade and likes green. Cathy is in 3rd grade and likes pink. Dorothy is in 1st grade and likes blue.
We have 4 children: Amanda, Bill, Cathy, Dorothy
They are in grades: 1st, 2nd, 3rd, 4th (each child is in a different grade)
Each has a favorite color: Blue, Red, Pink, Green (all different)
Clues:
1. The 4th grader is a boy who does not like pink.
2. Dorothy is the youngest and likes blue. → So Dorothy is in 1st grade, and her 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. (Amanda can’t be in 4th because then Cathy would be in 5th — impossible.)
4. The 2nd grader likes red.
---
Step 1: From Clue 2 → Dorothy = 1st grade, favorite color = Blue.
So we can fill:
- Dorothy → 1st, Blue
Step 2: From Clue 4 → 2nd grader likes Red.
So whoever is in 2nd grade → favorite color = Red.
Step 3: From Clue 1 → 4th grader is a boy → so must be either Bill or Amanda? Wait — names: Amanda (girl), Bill (boy), Cathy (girl), Dorothy (girl). So only Bill is a boy besides possibly others? Actually, typically Bill is male, others female. So 4th grader = Bill (since he’s the only boy mentioned, and clue says “a boy”). Also, he does NOT like pink.
So:
- 4th grader = Bill
- Bill ≠ Pink
Also, since Dorothy is 1st, and 2nd likes Red, and 4th is Bill, then 3rd must be someone else.
Grades left for assignment: 2nd, 3rd, 4th → but 4th is Bill, 1st is Dorothy.
Children left to assign grades: Amanda, Cathy, Bill → but Bill is 4th, so Amanda and Cathy need 2nd and 3rd.
From Clue 3: Cathy is one grade ahead of Amanda.
So possible pairs:
- If Amanda is 2nd → Cathy is 3rd → valid
- If Amanda is 3rd → Cathy is 4th → but 4th is Bill → invalid
- If Amanda is 1st → already taken by Dorothy → invalid
So only possibility: Amanda = 2nd, Cathy = 3rd
Then:
- Amanda → 2nd
- Cathy → 3rd
- Bill → 4th
- Dorothy → 1st
Now colors:
Dorothy → Blue (from clue 2)
2nd grader (Amanda) → likes Red (clue 4)
Bill (4th grader) → does NOT like pink (clue 1)
Colors left: Pink, Green (since Blue and Red taken)
Cathy (3rd) and Bill (4th) need colors from {Pink, Green}
But Bill ≠ Pink → so Bill must be Green, Cathy must be Pink.
Wait — let’s check:
Assigned so far:
- Dorothy: 1st, Blue
- Amanda: 2nd, Red
- Cathy: 3rd, ?
- Bill: 4th, ?
Colors left: Pink, Green
Bill cannot like pink → so Bill = Green, Cathy = Pink
Is there any conflict?
Check all clues:
1. 4th grader is a boy (Bill) who does not like pink → yes, he likes Green → OK
2. Dorothy is youngest (1st) and likes blue → yes → OK
3. Cathy (3rd) is one grade ahead of Amanda (2nd) → yes → OK
4. 2nd grader (Amanda) likes red → yes → OK
All clues satisfied!
Final assignments:
- Amanda: 2nd grade, Red
- Bill: 4th grade, Green
- Cathy: 3rd grade, Pink
- Dorothy: 1st grade, Blue
✔ Verified.
Final Answer:
Amanda is in 2nd grade and likes red. Bill is in 4th grade and likes green. Cathy is in 3rd grade and likes pink. Dorothy is in 1st grade and likes blue.
Parent Tip: Review the logic above to help your child master the concept of free printable logic puzzles with solutions.