Logic Grid Puzzle for Kids | Woo! Jr. Kids Activities : Childrens ... - Free Printable
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Step-by-step solution for: Logic Grid Puzzle for Kids | Woo! Jr. Kids Activities : Childrens ...
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Show Answer Key & Explanations
Step-by-step solution for: Logic Grid Puzzle for Kids | Woo! Jr. Kids Activities : Childrens ...
Let's solve Logic Grid Puzzle 8 step by step using the clues provided.
---
- Four students: Amy, Cathy, Frank, James
- Four teams: Red, Black, Green, Purple
- Each student is captain of one team.
- Each team finished in one place: 1st, 2nd, 3rd, 4th
- We need to determine:
- Who is the captain of which team
- Which team finished in which place
We’ll use a logic grid and process each clue carefully.
---
1. Amy was the captain of the red team and did not finish last.
2. The team that placed first wore black jerseys.
3. The purple team placed third with James as captain.
4. Cathy’s team did not place 4th.
---
We’ll create two grids:
- One to assign captains to teams
- One to assign teams to places
But since we’re solving it logically, let’s proceed step by step.
---
> Clue 3: The purple team placed third with James as captain.
So:
- Purple team → 3rd place
- James → Captain of Purple team
Update:
- James = Purple captain
- Purple team = 3rd place
From this, we know:
- James is NOT captain of Red, Black, or Green.
- Purple is not 1st, 2nd, or 4th (it’s 3rd)
---
> Amy was the captain of the red team and did not finish last.
So:
- Amy = Red captain
- Red team ≠ 4th (since Amy didn’t finish last)
So:
- Amy ≠ James → so Amy ≠ Purple → already consistent
- Red team must be 1st, 2nd, or 3rd
But wait — Purple is already 3rd → so Red can't be 3rd if it's different from Purple?
No, Red could be 3rd only if it's same as Purple, but they are different teams. So:
- Purple = 3rd → so Red ≠ 3rd
- Therefore, Red team must be either 1st or 2nd
So:
- Red team = 1st or 2nd
- Amy = Red captain → Amy’s team is 1st or 2nd
---
> The team that placed first wore black jerseys.
So:
- 1st place = Black team
So:
- Black team = 1st place
Now we know:
- 1st: Black
- 3rd: Purple
So:
- 2nd and 4th: Red and Green (in some order)
But Red cannot be 3rd (Purple is), and Red cannot be 4th (because Amy didn’t finish last) → so Red must be 1st or 2nd.
But 1st is Black → so Red cannot be 1st → therefore:
→ Red must be 2nd
Then:
- Red = 2nd
- Black = 1st
- Purple = 3rd
- So Green = 4th
Team placements:
| Place | Team |
|-------|--------|
| 1st | Black |
| 2nd | Red |
| 3rd | Purple |
| 4th | Green |
And from earlier:
- Amy = Red captain → so Amy’s team is Red → Red = 2nd → Amy finished 2nd
Also:
- James = Purple captain → Purple = 3rd → James finished 3rd
Now we have:
- Amy = Red captain → 2nd place
- James = Purple captain → 3rd place
Remaining captains: Cathy and Frank
Remaining teams: Black and Green
Remaining places: 1st and 4th
But:
- Black team = 1st place → so Black captain is whoever leads the 1st-place team
- Green team = 4th place → Green captain leads 4th
So:
- Black captain = person whose team is 1st
- Green captain = person whose team is 4th
Now, who is left?
- Captains: Cathy and Frank
- Teams: Black and Green
So one of them is Black captain (1st), the other is Green captain (4th)
Now use Clue 4:
> Cathy’s team did not place 4th.
So:
- Cathy ≠ Green team (since Green = 4th)
- Therefore, Cathy must be Black captain → Black team → 1st place
- Then Frank must be Green captain → Green team → 4th place
So now we have:
| Student | Team | Place |
|---------|--------|-------|
| Amy | Red | 2nd |
| Cathy | Black | 1st |
| Frank | Green | 4th |
| James | Purple | 3rd |
Let’s verify all clues:
---
1. Amy was the captain of the red team and did not finish last.
- Yes: Amy = Red captain, Red = 2nd → not last → OK
2. The team that placed first wore black jerseys.
- 1st = Black team → yes → OK
3. The purple team placed third with James as captain.
- Purple = 3rd, James = Purple captain → yes → OK
4. Cathy’s team did not place 4th.
- Cathy = Black → 1st → not 4th → OK
All clues satisfied!
---
#### Captains:
- Red: Amy
- Black: Cathy
- Green: Frank
- Purple: James
#### Place Finishes:
- 1st: Black (Cathy)
- 2nd: Red (Amy)
- 3rd: Purple (James)
- 4th: Green (Frank)
---
#### Captain Grid:
| | Red Captain | Black Captain | Green Captain | Purple Captain |
|---------|-------------|---------------|----------------|-----------------|
| Amy | ✔ | | | |
| Cathy | | ✔ | | |
| Frank | | | ✔ | |
| James | | | | ✔ |
#### Placement Grid:
| | 1st | 2nd | 3rd | 4th |
|---------|-----|-----|-----|-----|
| Red | | ✔ | | |
| Black | ✔ | | | |
| Green | | | | ✔ |
| Purple | | | ✔ | |
#### Final Table:
| Place | Team | Captain |
|-------|--------|---------|
| 1st | Black | Cathy |
| 2nd | Red | Amy |
| 3rd | Purple | James |
| 4th | Green | Frank |
✔ All clues satisfied.
---
---
Given:
- Four students: Amy, Cathy, Frank, James
- Four teams: Red, Black, Green, Purple
- Each student is captain of one team.
- Each team finished in one place: 1st, 2nd, 3rd, 4th
- We need to determine:
- Who is the captain of which team
- Which team finished in which place
We’ll use a logic grid and process each clue carefully.
---
Clues:
1. Amy was the captain of the red team and did not finish last.
2. The team that placed first wore black jerseys.
3. The purple team placed third with James as captain.
4. Cathy’s team did not place 4th.
---
We’ll create two grids:
- One to assign captains to teams
- One to assign teams to places
But since we’re solving it logically, let’s proceed step by step.
---
Step 1: Use Clue 3
> Clue 3: The purple team placed third with James as captain.
So:
- Purple team → 3rd place
- James → Captain of Purple team
Update:
- James = Purple captain
- Purple team = 3rd place
From this, we know:
- James is NOT captain of Red, Black, or Green.
- Purple is not 1st, 2nd, or 4th (it’s 3rd)
---
Step 2: Use Clue 1
> Amy was the captain of the red team and did not finish last.
So:
- Amy = Red captain
- Red team ≠ 4th (since Amy didn’t finish last)
So:
- Amy ≠ James → so Amy ≠ Purple → already consistent
- Red team must be 1st, 2nd, or 3rd
But wait — Purple is already 3rd → so Red can't be 3rd if it's different from Purple?
No, Red could be 3rd only if it's same as Purple, but they are different teams. So:
- Purple = 3rd → so Red ≠ 3rd
- Therefore, Red team must be either 1st or 2nd
So:
- Red team = 1st or 2nd
- Amy = Red captain → Amy’s team is 1st or 2nd
---
Step 3: Use Clue 2
> The team that placed first wore black jerseys.
So:
- 1st place = Black team
So:
- Black team = 1st place
Now we know:
- 1st: Black
- 3rd: Purple
So:
- 2nd and 4th: Red and Green (in some order)
But Red cannot be 3rd (Purple is), and Red cannot be 4th (because Amy didn’t finish last) → so Red must be 1st or 2nd.
But 1st is Black → so Red cannot be 1st → therefore:
→ Red must be 2nd
Then:
- Red = 2nd
- Black = 1st
- Purple = 3rd
- So Green = 4th
Team placements:
| Place | Team |
|-------|--------|
| 1st | Black |
| 2nd | Red |
| 3rd | Purple |
| 4th | Green |
And from earlier:
- Amy = Red captain → so Amy’s team is Red → Red = 2nd → Amy finished 2nd
Also:
- James = Purple captain → Purple = 3rd → James finished 3rd
Now we have:
- Amy = Red captain → 2nd place
- James = Purple captain → 3rd place
Remaining captains: Cathy and Frank
Remaining teams: Black and Green
Remaining places: 1st and 4th
But:
- Black team = 1st place → so Black captain is whoever leads the 1st-place team
- Green team = 4th place → Green captain leads 4th
So:
- Black captain = person whose team is 1st
- Green captain = person whose team is 4th
Now, who is left?
- Captains: Cathy and Frank
- Teams: Black and Green
So one of them is Black captain (1st), the other is Green captain (4th)
Now use Clue 4:
> Cathy’s team did not place 4th.
So:
- Cathy ≠ Green team (since Green = 4th)
- Therefore, Cathy must be Black captain → Black team → 1st place
- Then Frank must be Green captain → Green team → 4th place
So now we have:
| Student | Team | Place |
|---------|--------|-------|
| Amy | Red | 2nd |
| Cathy | Black | 1st |
| Frank | Green | 4th |
| James | Purple | 3rd |
Let’s verify all clues:
---
✔ Check Clues:
1. Amy was the captain of the red team and did not finish last.
- Yes: Amy = Red captain, Red = 2nd → not last → OK
2. The team that placed first wore black jerseys.
- 1st = Black team → yes → OK
3. The purple team placed third with James as captain.
- Purple = 3rd, James = Purple captain → yes → OK
4. Cathy’s team did not place 4th.
- Cathy = Black → 1st → not 4th → OK
All clues satisfied!
---
Final Answer:
#### Captains:
- Red: Amy
- Black: Cathy
- Green: Frank
- Purple: James
#### Place Finishes:
- 1st: Black (Cathy)
- 2nd: Red (Amy)
- 3rd: Purple (James)
- 4th: Green (Frank)
---
Fill in the Grids:
#### Captain Grid:
| | Red Captain | Black Captain | Green Captain | Purple Captain |
|---------|-------------|---------------|----------------|-----------------|
| Amy | ✔ | | | |
| Cathy | | ✔ | | |
| Frank | | | ✔ | |
| James | | | | ✔ |
#### Placement Grid:
| | 1st | 2nd | 3rd | 4th |
|---------|-----|-----|-----|-----|
| Red | | ✔ | | |
| Black | ✔ | | | |
| Green | | | | ✔ |
| Purple | | | ✔ | |
#### Final Table:
| Place | Team | Captain |
|-------|--------|---------|
| 1st | Black | Cathy |
| 2nd | Red | Amy |
| 3rd | Purple | James |
| 4th | Green | Frank |
✔ All clues satisfied.
---
✔ Solution Complete!
Parent Tip: Review the logic above to help your child master the concept of printable logic puzzles for gifted students.