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 step by step using the clues and the grid.
We have 4 families: Smith, Johnson, Clark, Adams
They went to 4 places: Florida, Arizona, California, Canada
Vacations lasted: 2, 4, 6, or 8 days
Each family has ONE destination and ONE duration — no repeats.
---
Clue 5: The Adams family went to California to visit their grandparents.
→ So Adams = California
In the grid, under “Adams” row, we put O in California column, X elsewhere for destinations.
Also, since they went to California, look at clue 2.
Clue 2: The family that was gone for 4 days visited California.
→ So California = 4 days → Adams = 4 days
So in Adams row, put O in “4 days”, X elsewhere for durations.
Now update grid:
Adams: California, 4 days → all other cells in Adams row are X.
Also, since California is taken by Adams, no one else can go there.
And 4 days is taken by Adams, so no one else had 4-day vacation.
---
Clue 3: The Clark family visited a destination that starts with “C”.
Destinations starting with C: California, Canada
But California is taken by Adams → so Clark must have gone to Canada.
So Clark = Canada
Put O in Clark row, Canada column. X elsewhere in Clark’s destination columns.
Also, from grid, we see Clark has O in “2 days” → so Clark = 2 days? Let’s check if that fits.
Wait — let’s not assume yet. We’ll use clues.
Actually, looking at the grid provided (which seems partially filled), but we should solve it logically from clues, not rely on pre-filled marks unless confirmed.
But since the problem says “use the clues below to figure out”, and the grid is part of the worksheet, perhaps the grid is meant to be filled by us. But in the image, some Os and Xs are already marked — maybe those are hints or answers? Wait — actually, re-reading the problem: it says “Use the clues below to figure out...” and then shows a grid with some Os and Xs. That might be the answer key already filled? But that doesn’t make sense for a student to solve.
Wait — perhaps the grid shown is the *solution*? But the user is asking to solve it. Hmm.
Actually, looking again: the grid has Os and Xs already placed — for example, Smith has O in Arizona and 8 days; Johnson has O in Florida and 6 days; Clark has O in Canada and 2 days; Adams has O in California and 4 days. And the bottom part also matches: 2 days = Canada, 4 days = California, etc.
But the clues are given to verify or derive that.
Perhaps the grid is the answer, and we need to confirm it using clues? Or maybe the grid is blank in the original, but here it's filled? This is confusing.
Wait — the instruction says: “Solve the problem accurately.” and “work through the problem step by step”.
I think the grid shown is actually the completed solution, but we are to derive it from clues. So let’s ignore the grid’s current markings and solve purely from clues, then compare.
Let me start over, ignoring the grid’s pre-filled Os/Xs, and solve from scratch using only the 5 clues.
---
Families: Smith, Johnson, Clark, Adams
Places: Florida, Arizona, California, Canada
Durations: 2, 4, 6, 8 days
Each family gets one place and one duration, all unique.
---
Clue 5: Adams went to California.
→ Adams = California
Clue 2: Family gone 4 days visited California.
→ Since Adams = California, then Adams = 4 days.
So now:
Adams: California, 4 days
That means:
- No other family can have California or 4 days.
---
Clue 3: Clark visited a destination starting with “C”.
Options: California (taken), Canada → so Clark = Canada
Clark = Canada
Duration unknown yet.
---
Clue 4: Johnson family went to Florida for more than 3 days.
More than 3 days → could be 4, 6, or 8. But 4 is taken by Adams → so Johnson = Florida and (6 or 8 days)
Johnson = Florida, duration ∈ {6,8}
---
Clue 1: Smith’s were on vacation 2 days longer than the family that visited Florida.
Family that visited Florida is Johnson (from above).
So Smith = Johnson’s duration + 2
Johnson’s duration is either 6 or 8.
If Johnson = 6, then Smith = 8
If Johnson = 8, then Smith = 10 → but 10 is not an option (only 2,4,6,8) → invalid.
So Johnson must be 6 days → Smith = 8 days
Thus:
Johnson = Florida, 6 days
Smith = 8 days
Now, what place for Smith? Places left: Arizona (since Florida=Johnson, California=Adams, Canada=Clark)
So Smith = Arizona
Now, Clark = Canada, duration left: only 2 days remains (since 4=Adams, 6=Johnson, 8=Smith)
So Clark = Canada, 2 days
Now let’s list all:
- Smith: Arizona, 8 days
- Johnson: Florida, 6 days
- Clark: Canada, 2 days
- Adams: California, 4 days
Check all clues:
1. Smith (8 days) is 2 days longer than Florida visitor (Johnson, 6 days) → 8 = 6+2 ✓
2. 4 days = California → Adams ✓
3. Clark visited place starting with C → Canada ✓
4. Johnson went to Florida for >3 days → 6>3 ✓
5. Adams went to California ✓
Perfect.
Now, just to match the grid format:
For each family, mark their destination and duration.
Smith: Arizona, 8 days → so in Smith row: O under Arizona and 8 days, X elsewhere
Johnson: Florida, 6 days → O under Florida and 6 days
Clark: Canada, 2 days → O under Canada and 2 days
Adams: California, 4 days → O under California and 4 days
Also, for the bottom part (duration vs place):
2 days → Canada
4 days → California
6 days → Florida
8 days → Arizona
Which matches the grid shown in the image.
So the solution is consistent.
Final Answer:
Smith: Arizona, 8 days
Johnson: Florida, 6 days
Clark: Canada, 2 days
Adams: California, 4 days
We have 4 families: Smith, Johnson, Clark, Adams
They went to 4 places: Florida, Arizona, California, Canada
Vacations lasted: 2, 4, 6, or 8 days
Each family has ONE destination and ONE duration — no repeats.
---
Clue 5: The Adams family went to California to visit their grandparents.
→ So Adams = California
In the grid, under “Adams” row, we put O in California column, X elsewhere for destinations.
Also, since they went to California, look at clue 2.
Clue 2: The family that was gone for 4 days visited California.
→ So California = 4 days → Adams = 4 days
So in Adams row, put O in “4 days”, X elsewhere for durations.
Now update grid:
Adams: California, 4 days → all other cells in Adams row are X.
Also, since California is taken by Adams, no one else can go there.
And 4 days is taken by Adams, so no one else had 4-day vacation.
---
Clue 3: The Clark family visited a destination that starts with “C”.
Destinations starting with C: California, Canada
But California is taken by Adams → so Clark must have gone to Canada.
So Clark = Canada
Put O in Clark row, Canada column. X elsewhere in Clark’s destination columns.
Also, from grid, we see Clark has O in “2 days” → so Clark = 2 days? Let’s check if that fits.
Wait — let’s not assume yet. We’ll use clues.
Actually, looking at the grid provided (which seems partially filled), but we should solve it logically from clues, not rely on pre-filled marks unless confirmed.
But since the problem says “use the clues below to figure out”, and the grid is part of the worksheet, perhaps the grid is meant to be filled by us. But in the image, some Os and Xs are already marked — maybe those are hints or answers? Wait — actually, re-reading the problem: it says “Use the clues below to figure out...” and then shows a grid with some Os and Xs. That might be the answer key already filled? But that doesn’t make sense for a student to solve.
Wait — perhaps the grid shown is the *solution*? But the user is asking to solve it. Hmm.
Actually, looking again: the grid has Os and Xs already placed — for example, Smith has O in Arizona and 8 days; Johnson has O in Florida and 6 days; Clark has O in Canada and 2 days; Adams has O in California and 4 days. And the bottom part also matches: 2 days = Canada, 4 days = California, etc.
But the clues are given to verify or derive that.
Perhaps the grid is the answer, and we need to confirm it using clues? Or maybe the grid is blank in the original, but here it's filled? This is confusing.
Wait — the instruction says: “Solve the problem accurately.” and “work through the problem step by step”.
I think the grid shown is actually the completed solution, but we are to derive it from clues. So let’s ignore the grid’s current markings and solve purely from clues, then compare.
Let me start over, ignoring the grid’s pre-filled Os/Xs, and solve from scratch using only the 5 clues.
---
Families: Smith, Johnson, Clark, Adams
Places: Florida, Arizona, California, Canada
Durations: 2, 4, 6, 8 days
Each family gets one place and one duration, all unique.
---
Clue 5: Adams went to California.
→ Adams = California
Clue 2: Family gone 4 days visited California.
→ Since Adams = California, then Adams = 4 days.
So now:
Adams: California, 4 days
That means:
- No other family can have California or 4 days.
---
Clue 3: Clark visited a destination starting with “C”.
Options: California (taken), Canada → so Clark = Canada
Clark = Canada
Duration unknown yet.
---
Clue 4: Johnson family went to Florida for more than 3 days.
More than 3 days → could be 4, 6, or 8. But 4 is taken by Adams → so Johnson = Florida and (6 or 8 days)
Johnson = Florida, duration ∈ {6,8}
---
Clue 1: Smith’s were on vacation 2 days longer than the family that visited Florida.
Family that visited Florida is Johnson (from above).
So Smith = Johnson’s duration + 2
Johnson’s duration is either 6 or 8.
If Johnson = 6, then Smith = 8
If Johnson = 8, then Smith = 10 → but 10 is not an option (only 2,4,6,8) → invalid.
So Johnson must be 6 days → Smith = 8 days
Thus:
Johnson = Florida, 6 days
Smith = 8 days
Now, what place for Smith? Places left: Arizona (since Florida=Johnson, California=Adams, Canada=Clark)
So Smith = Arizona
Now, Clark = Canada, duration left: only 2 days remains (since 4=Adams, 6=Johnson, 8=Smith)
So Clark = Canada, 2 days
Now let’s list all:
- Smith: Arizona, 8 days
- Johnson: Florida, 6 days
- Clark: Canada, 2 days
- Adams: California, 4 days
Check all clues:
1. Smith (8 days) is 2 days longer than Florida visitor (Johnson, 6 days) → 8 = 6+2 ✓
2. 4 days = California → Adams ✓
3. Clark visited place starting with C → Canada ✓
4. Johnson went to Florida for >3 days → 6>3 ✓
5. Adams went to California ✓
Perfect.
Now, just to match the grid format:
For each family, mark their destination and duration.
Smith: Arizona, 8 days → so in Smith row: O under Arizona and 8 days, X elsewhere
Johnson: Florida, 6 days → O under Florida and 6 days
Clark: Canada, 2 days → O under Canada and 2 days
Adams: California, 4 days → O under California and 4 days
Also, for the bottom part (duration vs place):
2 days → Canada
4 days → California
6 days → Florida
8 days → Arizona
Which matches the grid shown in the image.
So the solution is consistent.
Final Answer:
Smith: Arizona, 8 days
Johnson: Florida, 6 days
Clark: Canada, 2 days
Adams: California, 4 days
Parent Tip: Review the logic above to help your child master the concept of printable logic puzzles answers.