Solved Exercises on Logical Reasoning in Grade 1

Master logical reasoning: problem solving, reasoning, logical thinking, number sense, spatial reasoning through these 5 detailed exercises.

Solution: Exercises 1 to 3
1 Comparing Numbers
Exercise 1
Is 7 greater than 5? Use logical reasoning to explain your answer.
Definition:

Logical reasoning: Using facts and knowledge to explain why something is true

Logical reasoning method:
  1. Look at the numbers
  2. Think about their order when counting
  3. Compare their positions
  4. State the relationship
  5. Explain your reasoning
Numbers
7 and 5
Relationship
7 > 5
Reason
7 comes after 5
Count to 7: 1, 2, 3, 4, 5, 6, 7
7 comes after 5
So 7 > 5
Step 1: Identify the numbers

I have 7 and 5 to compare

Step 2: Think about counting order

When I count, 7 comes after 5

Step 3: Apply the rule

Numbers that come later when counting are greater

Step 4: State the answer

Yes, 7 is greater than 5

Step 5: Explain the reasoning

When counting, 7 comes after 5, so 7 is greater

7 > 5
Final answer:

Yes, 7 is greater than 5 because when counting, 7 comes after 5. The number that comes later is greater.

Applied rules:

• Counting sequence: Numbers come in order when counting

• Greater than: Later numbers in sequence are greater

• Logical comparison: Use counting order to compare

2 Logical Sequences
Exercise 2
If today is Monday, what day is tomorrow? Use logical reasoning to explain.
Definition:

Logical sequence: Using order and pattern to determine what comes next

Today
Monday
Tomorrow
Tuesday
Sequence
Mon → Tue
Days: Sun, Mon, Tue, Wed, Thu, Fri, Sat
After Monday comes Tuesday
Tomorrow is Tuesday
Step 1: Identify today

Today is Monday

Step 2: Recall the day sequence

Days go in order: Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday

Step 3: Find the next day

After Monday comes Tuesday

Step 4: Apply the logic

If today is Monday, tomorrow is the next day in sequence

Step 5: State the answer

Tomorrow is Tuesday

Monday → Tuesday
Final answer:

Tomorrow is Tuesday because days come in a sequence, and Tuesday comes after Monday in the weekly sequence.

Applied rules:

• Day sequence: Days follow a specific order

• Tomorrow rule: Tomorrow is the next day in sequence

• Logical pattern: Use known sequence to determine next item

3 Pattern Recognition
Exercise 3
The pattern is: red, blue, red, blue, red, ___. What comes next? Use logical reasoning to explain.
Definition:

Pattern recognition: Identifying and extending visual or numerical sequences

Pattern
Red, Blue, Red, Blue, Red, ?
Rule
Alternating colors
Next
Blue
Red, Blue, Red, Blue, Red
Pattern: Red, Blue repeats
Next should be Blue
Step 1: Observe the pattern

Look at the sequence: red, blue, red, blue, red

Step 2: Identify the rule

The pattern alternates between red and blue

Step 3: Apply the rule

Since the last color was red, the next should be blue

Step 4: Predict the next item

Following the alternating pattern, blue comes next

Step 5: Verify the prediction

Red, Blue, Red, Blue, Red, Blue follows the alternating pattern

Red, Blue, Red, Blue, Red, Blue
Final answer:

Blue comes next because the pattern alternates between red and blue. The sequence is red, blue, red, blue, red, blue.

Applied rules:

• Pattern identification: Looking for repeating sequences

• Logical extension: Continuing the pattern based on the rule

• Rule application: Using the identified rule to predict

Rules and methods, laws,...
Facts + Logic = Answer
Logical Reasoning
Rule 1
Observe
Look at the problem
Rule 2
Think
Use what you know
Rule 3
Explain
Share your reasoning
Key definitions:

Logical reasoning: Using facts and knowledge to explain why something is true

Logical sequence: Using order and pattern to determine what comes next

Pattern recognition: Identifying and extending visual or numerical sequences

Complete methodology:
  1. Observe: Look carefully at the problem
  2. Recall: Think about what you know
  3. Apply: Use facts and rules to solve
  4. Explain: Tell how you reached your conclusion
  5. Verify: Check that your reasoning makes sense
Tip 1: Look for patterns in the problem.
Tip 2: Use what you already know to solve new problems.
Tip 3: Explain your thinking step by step.
Tip 4: Check if your answer makes sense.
Common errors: Jumping to conclusions without thinking, not explaining the reasoning, missing patterns.
Key concepts: Pattern recognition, logical sequence, cause and effect, comparison.
Formulas to know by heart:

• Look at the facts

• Think about what you know

• Use patterns to help you

• Explain your thinking

Solution: Exercises 4 to 5
4 Cause and Effect
Exercise 4
If I have 8 cookies and eat 3, how many do I have left? Use logical reasoning to explain.
Definition:

Cause and effect: Understanding that one event leads to another outcome

Start
8 cookies
Action
Eat 3
Result
5 cookies
8 - 3 = 5
Eating takes away
So 5 left
Step 1: Identify the starting amount

I begin with 8 cookies

Step 2: Identify the action

I eat 3 cookies

Step 3: Apply the operation

Eating means taking away, so I subtract: 8 - 3

Step 4: Calculate the result

8 - 3 = 5 cookies left

Step 5: Explain the reasoning

When I eat cookies, they are removed from my total, so I subtract

8 - 3 = 5
Final answer:

I have 5 cookies left because eating means taking away, so I subtract 3 from 8: 8 - 3 = 5.

Applied rules:

• Cause and effect: Eating removes cookies from total

• Subtraction logic: Taking away means subtracting

• Logical operation: Use subtraction for removal

5 Multiple Conditions
Exercise 5
Tom is taller than Mary. Mary is taller than Bob. Who is the tallest? Use logical reasoning to explain.
Definition:

Multiple conditions: Using several facts to reach a conclusion

Condition 1
Tom > Mary
Condition 2
Mary > Bob
Conclusion
Tom > Bob
Tom > Mary
Mary > Bob
So Tom > Bob
Tom is tallest
Step 1: Identify the first relationship

Tom is taller than Mary (Tom > Mary)

Step 2: Identify the second relationship

Mary is taller than Bob (Mary > Bob)

Step 3: Connect the relationships

If Tom > Mary and Mary > Bob, then Tom > Bob

Step 4: Determine the ranking

Tom > Mary > Bob

Step 5: State the conclusion

Tom is the tallest

Step 6: Explain the reasoning

By comparing the relationships, Tom is taller than both Mary and Bob

Tom > Mary > Bob
Final answer:

Tom is the tallest because Tom is taller than Mary, and Mary is taller than Bob. So Tom is taller than both Mary and Bob.

Applied rules:

• Transitive property: If A > B and B > C, then A > C

• Logical sequencing: Ordering items based on comparisons

• Reasoning: Using multiple facts to reach a conclusion

Logical Reasoning Guide: Laws, Methods, Definitions, Expressions
Facts + Logic = Answer
Logical Reasoning
Key definitions:

Logical reasoning: Using facts and knowledge to explain why something is true

Logical sequence: Using order and pattern to determine what comes next

Pattern recognition: Identifying and extending visual or numerical sequences

Complete methodology:
  1. Observe: Look carefully at the problem
  2. Recall: Think about what you know
  3. Apply: Use facts and rules to solve
  4. Explain: Tell how you reached your conclusion
  5. Verify: Check that your reasoning makes sense
Tip 1: Look for patterns in the problem.
Tip 2: Use what you already know to solve new problems.
Tip 3: Explain your thinking step by step.
Tip 4: Check if your answer makes sense.
Common errors: Jumping to conclusions without thinking, not explaining the reasoning, missing patterns.
Key concepts: Pattern recognition, logical sequence, cause and effect, comparison.
Formulas to know by heart:

• Look at the facts

• Think about what you know

• Use patterns to help you

• Explain your thinking

Questions & Answers

Question: Is logical reasoning easy? Sometimes it feels hard when I don't know the answer.

Answer: Logical reasoning can feel challenging at first, but it gets easier with practice! Here's why:

  • It's like a puzzle: You use clues to find the answer
  • You already know: You use facts you already know
  • It's a skill: Like riding a bike, it gets easier with practice
  • Everyone learns: Even grown-ups had to learn logical reasoning

When it feels hard, take a deep breath and think step by step!

Example: If you know 5 + 2 = 7, you can figure out 5 + 3 = 8!

Question: How can I help my child develop logical reasoning skills?

Answer: Here are effective strategies:

  • Ask questions: "What do you think will happen?" "Why do you think that?"
  • Encourage explaining: Have them talk through their thinking
  • Use daily life: Cooking, shopping, and games offer reasoning opportunities
  • Play games: Puzzles, board games, and pattern games

Focus on the process, not just the answer. Praise their thinking strategies.

Tip: Ask "How do you know?" to encourage reasoning.

Question: How do I know if students are developing logical reasoning?

Answer: Look for these indicators:

  1. Explanation: Students can explain their reasoning
  2. Connections: They link new problems to known facts
  3. Pattern recognition: They notice and use patterns
  4. Verification: They check their answers

Students begin to ask "why" and "what if" questions.

They justify their answers with logical arguments.

Is Logical Reasoning Easy? Complete Learning Summary

Key Definitions

Logical Reasoning: Using facts and knowledge to explain why something is true

Logical Sequence: Using order and pattern to determine what comes next

Pattern Recognition: Identifying and extending visual or numerical sequences

Cause and Effect: Understanding that one event leads to another outcome

Multiple Conditions: Using several facts to reach a conclusion

Core Rules & Laws

Observe Rule: Always look carefully at the problem first

Think Rule: Use what you already know

Explain Rule: Share your reasoning with others

Pattern Rule: Look for repeating sequences or relationships

Logical Rule: Use facts to support your conclusions

Step-by-Step Method

Step 1: Observe the problem carefully

Step 2: Recall what you know

Step 3: Apply facts and rules

Step 4: Explain your reasoning

Step 5: Verify your answer

Examples & Applications

Comparison: 7 > 5 because 7 comes after 5 when counting

Sequence: Monday → Tuesday because of the day order

Patterns: Red, Blue, Red, Blue → Next is Red

Cause/Effect: 8 - 3 = 5 because eating takes away

Multiple: Tom > Mary, Mary > Bob → Tom > Bob

Tips & Common Pitfalls

Tip 1: Look for patterns in the problem

Tip 2: Use what you already know to solve new problems

Tip 3: Explain your thinking step by step

Pitfall: Jumping to conclusions without thinking

Pitfall: Not explaining the reasoning

Key Takeaways

Memorize: Look at facts, think about what you know

Remember: Use patterns to help you

Practice: Explain your thinking

Verify: Check that your answer makes sense

Master: Logical reasoning is a skill that grows with practice