Level 2 Logic Puzzles | Made By Teachers - Free Printable
Educational worksheet: Level 2 Logic Puzzles | Made By Teachers. Download and print for classroom or home learning activities.
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Step-by-step solution for: Level 2 Logic Puzzles | Made By Teachers
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Step-by-step solution for: Level 2 Logic Puzzles | Made By Teachers
The image shows three logic grid puzzles designed for students in grades 4th to 8th. Below, I will solve each puzzle step by step.
---
#### Objective: Determine the finishing positions of the teams in the bike race.
#### Teams: Radical Racers, Bold Biking Boys, Flaming Wheels, Geared Up Girls, Cycle Cruisers
#### Clues:
1. The Geared Up Girls finished sometime after the Cycle Cruisers but did not win.
2. The Radical Racers finished sometime before the Bold Biking Boys.
3. The Cycle Cruisers finished sometime after the Bold Biking Boys.
#### Solution:
1. From Clue 1: Geared Up Girls did not win and finished after Cycle Cruisers.
- This means Geared Up Girls cannot be in 1st place, and Cycle Cruisers must be ahead of Geared Up Girls.
2. From Clue 2: Radical Racers finished before Bold Biking Boys.
- This means Radical Racers must be in a higher position than Bold Biking Boys (e.g., Radical Racers could be 1st or 2nd, while Bold Biking Boys could be 2nd or lower).
3. From Clue 3: Cycle Cruisers finished after Bold Biking Boys.
- This means Bold Biking Boys must be ahead of Cycle Cruisers.
#### Step-by-Step Deduction:
- Since Geared Up Girls did not win and finished after Cycle Cruisers, Cycle Cruisers must be in a higher position than Geared Up Girls.
- Radical Racers finished before Bold Biking Boys, so Radical Racers must be in a higher position.
- Cycle Cruisers finished after Bold Biking Boys, so Bold Biking Boys must be ahead of Cycle Cruisers.
By combining these clues:
- Radical Racers must be in 1st place (since they finished before Bold Biking Boys).
- Bold Biking Boys must be in 2nd place (since they are ahead of Cycle Cruisers).
- Cycle Cruisers must be in 3rd place (since they are ahead of Geared Up Girls).
- Geared Up Girls must be in 4th place (since they finished after Cycle Cruisers).
- Flaming Wheels must be in 5th place (the only remaining position).
#### Final Answer:
- 1st Place: Radical Racers
- 2nd Place: Bold Biking Boys
- 3rd Place: Cycle Cruisers
- 4th Place: Geared Up Girls
- 5th Place: Flaming Wheels
---
#### Objective: Determine how many students chose each ice cream flavor.
#### Flavors: Vanilla, Chocolate, Mint Chocolate Chip, Rocky Road, Strawberry
#### Number of Students: 2, 4, 7, 8, 9
#### Clues:
1. More students chose vanilla ice cream than chocolate, but less than rocky road or mint chocolate chip.
2. Mint chocolate chip was not the most popular flavor.
3. Chocolate was chosen by more than 2 students.
4. More students chose mint chocolate chip than chose chocolate.
#### Solution:
1. From Clue 1: Vanilla is more popular than Chocolate but less popular than Rocky Road and Mint Chocolate Chip.
- This means Vanilla cannot be the least popular (2 students) or the most popular (9 students). It must be one of the middle values (4, 7, or 8).
2. From Clue 2: Mint Chocolate Chip is not the most popular flavor.
- This means Mint Chocolate Chip cannot have 9 students.
3. From Clue 3: Chocolate was chosen by more than 2 students.
- This means Chocolate cannot have 2 students.
4. From Clue 4: More students chose Mint Chocolate Chip than Chocolate.
- This means Mint Chocolate Chip must have more students than Chocolate.
#### Step-by-Step Deduction:
- Chocolate cannot have 2 students (Clue 3), so it must have at least 4 students.
- Mint Chocolate Chip has more students than Chocolate (Clue 4), so it must have at least 7 students.
- Vanilla is more popular than Chocolate but less popular than Rocky Road and Mint Chocolate Chip (Clue 1), so it must have 7 students.
- Mint Chocolate Chip cannot be the most popular (Clue 2), so Rocky Road must have 9 students.
- Since Vanilla has 7 students, Mint Chocolate Chip must have 8 students (more than Chocolate).
- Chocolate must have 4 students (less than Vanilla).
- Strawberry must have 2 students (the only remaining value).
#### Final Answer:
- Vanilla: 7 students
- Chocolate: 4 students
- Mint Chocolate Chip: 8 students
- Rocky Road: 9 students
- Strawberry: 2 students
---
#### Objective: Determine how many mornings Mayor Kevin ate each breakfast meal in January.
#### Meals: Green Protein Smoothie, Roasted Hash & Veggie Bowl, Avocado Toast, Acai & Fruit Bowl, Waffles w/ nut butter
#### Number of Mornings: 2, 4, 5, 6, 7
#### Clues:
1. The mayor didn’t like the acai and fruit bowl much, so he only had it for breakfast twice.
2. Mayor Kevin ate avocado toast fewer mornings than he ate waffles with nut butter.
3. Mayor Kevin ate a roasted hash and veggie bowl for breakfast more than five times in January.
4. Mayor Kevin had a green protein smoothie more mornings than he had waffles, but less than he ate a roasted hash & veggie bowl.
5. The mayor had a roasted hash & veggie bowl more mornings than he ate waffles with nut butter.
#### Solution:
1. From Clue 1: Acai & Fruit Bowl was eaten 2 mornings.
2. From Clue 2: Avocado Toast was eaten fewer mornings than Waffles w/ nut butter.
3. From Clue 3: Roasted Hash & Veggie Bowl was eaten more than 5 mornings.
4. From Clue 4: Green Protein Smoothie was eaten more mornings than Waffles w/ nut butter but fewer mornings than Roasted Hash & Veggie Bowl.
5. From Clue 5: Roasted Hash & Veggie Bowl was eaten more mornings than Waffles w/ nut butter.
#### Step-by-Step Deduction:
- Acai & Fruit Bowl is fixed at 2 mornings (Clue 1).
- Roasted Hash & Veggie Bowl must be 7 mornings (Clue 3, since it is more than 5).
- Green Protein Smoothie must be 6 mornings (Clue 4, since it is more than Waffles w/ nut butter but fewer than Roasted Hash & Veggie Bowl).
- Waffles w/ nut butter must be 4 mornings (Clue 2 and Clue 5, since it is fewer than Roasted Hash & Veggie Bowl and more than Avocado Toast).
- Avocado Toast must be 5 mornings (the only remaining value).
#### Final Answer:
- Green Protein Smoothie: 6 mornings
- Roasted Hash & Veggie Bowl: 7 mornings
- Avocado Toast: 5 mornings
- Acai & Fruit Bowl: 2 mornings
- Waffles w/ nut butter: 4 mornings
---
1. Bike Race:
- 1st Place: Radical Racers
- 2nd Place: Bold Biking Boys
- 3rd Place: Cycle Cruisers
- 4th Place: Geared Up Girls
- 5th Place: Flaming Wheels
2. Favorite Flavors:
- Vanilla: 7 students
- Chocolate: 4 students
- Mint Chocolate Chip: 8 students
- Rocky Road: 9 students
- Strawberry: 2 students
3. Let's Get Healthy!:
- Green Protein Smoothie: 6 mornings
- Roasted Hash & Veggie Bowl: 7 mornings
- Avocado Toast: 5 mornings
- Acai & Fruit Bowl: 2 mornings
- Waffles w/ nut butter: 4 mornings
Boxed Final Answer:
\[
\boxed{
\begin{array}{l}
\text{Bike Race:} \\
\text{1st Place: Radical Racers} \\
\text{2nd Place: Bold Biking Boys} \\
\text{3rd Place: Cycle Cruisers} \\
\text{4th Place: Geared Up Girls} \\
\text{5th Place: Flaming Wheels} \\
\\
\text{Favorite Flavors:} \\
\text{Vanilla: 7 students} \\
\text{Chocolate: 4 students} \\
\text{Mint Chocolate Chip: 8 students} \\
\text{Rocky Road: 9 students} \\
\text{Strawberry: 2 students} \\
\\
\text{Let's Get Healthy!:} \\
\text{Green Protein Smoothie: 6 mornings} \\
\text{Roasted Hash & Veggie Bowl: 7 mornings} \\
\text{Avocado Toast: 5 mornings} \\
\text{Acai & Fruit Bowl: 2 mornings} \\
\text{Waffles w/ nut butter: 4 mornings}
\end{array}
}
\]
---
Puzzle 1: Bike Race
#### Objective: Determine the finishing positions of the teams in the bike race.
#### Teams: Radical Racers, Bold Biking Boys, Flaming Wheels, Geared Up Girls, Cycle Cruisers
#### Clues:
1. The Geared Up Girls finished sometime after the Cycle Cruisers but did not win.
2. The Radical Racers finished sometime before the Bold Biking Boys.
3. The Cycle Cruisers finished sometime after the Bold Biking Boys.
#### Solution:
1. From Clue 1: Geared Up Girls did not win and finished after Cycle Cruisers.
- This means Geared Up Girls cannot be in 1st place, and Cycle Cruisers must be ahead of Geared Up Girls.
2. From Clue 2: Radical Racers finished before Bold Biking Boys.
- This means Radical Racers must be in a higher position than Bold Biking Boys (e.g., Radical Racers could be 1st or 2nd, while Bold Biking Boys could be 2nd or lower).
3. From Clue 3: Cycle Cruisers finished after Bold Biking Boys.
- This means Bold Biking Boys must be ahead of Cycle Cruisers.
#### Step-by-Step Deduction:
- Since Geared Up Girls did not win and finished after Cycle Cruisers, Cycle Cruisers must be in a higher position than Geared Up Girls.
- Radical Racers finished before Bold Biking Boys, so Radical Racers must be in a higher position.
- Cycle Cruisers finished after Bold Biking Boys, so Bold Biking Boys must be ahead of Cycle Cruisers.
By combining these clues:
- Radical Racers must be in 1st place (since they finished before Bold Biking Boys).
- Bold Biking Boys must be in 2nd place (since they are ahead of Cycle Cruisers).
- Cycle Cruisers must be in 3rd place (since they are ahead of Geared Up Girls).
- Geared Up Girls must be in 4th place (since they finished after Cycle Cruisers).
- Flaming Wheels must be in 5th place (the only remaining position).
#### Final Answer:
- 1st Place: Radical Racers
- 2nd Place: Bold Biking Boys
- 3rd Place: Cycle Cruisers
- 4th Place: Geared Up Girls
- 5th Place: Flaming Wheels
---
Puzzle 2: Favorite Flavors
#### Objective: Determine how many students chose each ice cream flavor.
#### Flavors: Vanilla, Chocolate, Mint Chocolate Chip, Rocky Road, Strawberry
#### Number of Students: 2, 4, 7, 8, 9
#### Clues:
1. More students chose vanilla ice cream than chocolate, but less than rocky road or mint chocolate chip.
2. Mint chocolate chip was not the most popular flavor.
3. Chocolate was chosen by more than 2 students.
4. More students chose mint chocolate chip than chose chocolate.
#### Solution:
1. From Clue 1: Vanilla is more popular than Chocolate but less popular than Rocky Road and Mint Chocolate Chip.
- This means Vanilla cannot be the least popular (2 students) or the most popular (9 students). It must be one of the middle values (4, 7, or 8).
2. From Clue 2: Mint Chocolate Chip is not the most popular flavor.
- This means Mint Chocolate Chip cannot have 9 students.
3. From Clue 3: Chocolate was chosen by more than 2 students.
- This means Chocolate cannot have 2 students.
4. From Clue 4: More students chose Mint Chocolate Chip than Chocolate.
- This means Mint Chocolate Chip must have more students than Chocolate.
#### Step-by-Step Deduction:
- Chocolate cannot have 2 students (Clue 3), so it must have at least 4 students.
- Mint Chocolate Chip has more students than Chocolate (Clue 4), so it must have at least 7 students.
- Vanilla is more popular than Chocolate but less popular than Rocky Road and Mint Chocolate Chip (Clue 1), so it must have 7 students.
- Mint Chocolate Chip cannot be the most popular (Clue 2), so Rocky Road must have 9 students.
- Since Vanilla has 7 students, Mint Chocolate Chip must have 8 students (more than Chocolate).
- Chocolate must have 4 students (less than Vanilla).
- Strawberry must have 2 students (the only remaining value).
#### Final Answer:
- Vanilla: 7 students
- Chocolate: 4 students
- Mint Chocolate Chip: 8 students
- Rocky Road: 9 students
- Strawberry: 2 students
---
Puzzle 3: Let's Get Healthy!
#### Objective: Determine how many mornings Mayor Kevin ate each breakfast meal in January.
#### Meals: Green Protein Smoothie, Roasted Hash & Veggie Bowl, Avocado Toast, Acai & Fruit Bowl, Waffles w/ nut butter
#### Number of Mornings: 2, 4, 5, 6, 7
#### Clues:
1. The mayor didn’t like the acai and fruit bowl much, so he only had it for breakfast twice.
2. Mayor Kevin ate avocado toast fewer mornings than he ate waffles with nut butter.
3. Mayor Kevin ate a roasted hash and veggie bowl for breakfast more than five times in January.
4. Mayor Kevin had a green protein smoothie more mornings than he had waffles, but less than he ate a roasted hash & veggie bowl.
5. The mayor had a roasted hash & veggie bowl more mornings than he ate waffles with nut butter.
#### Solution:
1. From Clue 1: Acai & Fruit Bowl was eaten 2 mornings.
2. From Clue 2: Avocado Toast was eaten fewer mornings than Waffles w/ nut butter.
3. From Clue 3: Roasted Hash & Veggie Bowl was eaten more than 5 mornings.
4. From Clue 4: Green Protein Smoothie was eaten more mornings than Waffles w/ nut butter but fewer mornings than Roasted Hash & Veggie Bowl.
5. From Clue 5: Roasted Hash & Veggie Bowl was eaten more mornings than Waffles w/ nut butter.
#### Step-by-Step Deduction:
- Acai & Fruit Bowl is fixed at 2 mornings (Clue 1).
- Roasted Hash & Veggie Bowl must be 7 mornings (Clue 3, since it is more than 5).
- Green Protein Smoothie must be 6 mornings (Clue 4, since it is more than Waffles w/ nut butter but fewer than Roasted Hash & Veggie Bowl).
- Waffles w/ nut butter must be 4 mornings (Clue 2 and Clue 5, since it is fewer than Roasted Hash & Veggie Bowl and more than Avocado Toast).
- Avocado Toast must be 5 mornings (the only remaining value).
#### Final Answer:
- Green Protein Smoothie: 6 mornings
- Roasted Hash & Veggie Bowl: 7 mornings
- Avocado Toast: 5 mornings
- Acai & Fruit Bowl: 2 mornings
- Waffles w/ nut butter: 4 mornings
---
Final Answers:
1. Bike Race:
- 1st Place: Radical Racers
- 2nd Place: Bold Biking Boys
- 3rd Place: Cycle Cruisers
- 4th Place: Geared Up Girls
- 5th Place: Flaming Wheels
2. Favorite Flavors:
- Vanilla: 7 students
- Chocolate: 4 students
- Mint Chocolate Chip: 8 students
- Rocky Road: 9 students
- Strawberry: 2 students
3. Let's Get Healthy!:
- Green Protein Smoothie: 6 mornings
- Roasted Hash & Veggie Bowl: 7 mornings
- Avocado Toast: 5 mornings
- Acai & Fruit Bowl: 2 mornings
- Waffles w/ nut butter: 4 mornings
Boxed Final Answer:
\[
\boxed{
\begin{array}{l}
\text{Bike Race:} \\
\text{1st Place: Radical Racers} \\
\text{2nd Place: Bold Biking Boys} \\
\text{3rd Place: Cycle Cruisers} \\
\text{4th Place: Geared Up Girls} \\
\text{5th Place: Flaming Wheels} \\
\\
\text{Favorite Flavors:} \\
\text{Vanilla: 7 students} \\
\text{Chocolate: 4 students} \\
\text{Mint Chocolate Chip: 8 students} \\
\text{Rocky Road: 9 students} \\
\text{Strawberry: 2 students} \\
\\
\text{Let's Get Healthy!:} \\
\text{Green Protein Smoothie: 6 mornings} \\
\text{Roasted Hash & Veggie Bowl: 7 mornings} \\
\text{Avocado Toast: 5 mornings} \\
\text{Acai & Fruit Bowl: 2 mornings} \\
\text{Waffles w/ nut butter: 4 mornings}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of printable logic puzzles with grids and answers.