Solved Exercises on Simple Problems with Solutions in Grade 1

Master simple problems with clear solutions: straightforward money operations and easy-to-understand problem-solving approaches.

Simple Problems with Solutions Concepts
🧮 PROBLEM → SOLUTION → VERIFICATION
Problem-Solution Process
Key Definitions:

Simple Problem: A math problem that can be solved with one or two easy steps

Solution: The answer to a math problem with the steps to get there

Problem-Solving: The process of finding answers to mathematical questions

Money Problem: A problem involving coins, bills, and monetary transactions

Problem-Solution Method:
  1. Read Problem: Understand what is being asked
  2. Identify Info: Find the numbers and key words
  3. Choose Operation: Decide to add, subtract, or count
  4. Show Solution: Write down all steps clearly
  5. Verify Answer: Check that it makes sense
Problem-Solution Workflow
1
PROBLEM
2
SOLUTION
3
VERIFICATION
Tip 1: Write down the problem and solution steps clearly.
Tip 2: Always check your answer to make sure it's correct.
Tip 3: Use drawings or objects to help solve the problem.
Tip 4: Practice with real coins to understand money better.
Solution: Exercises 1 to 3
1 Simple Counting Problem with Solution
Exercise 1
👧
Anna has 2 quarters and 3 pennies. How much money does Anna have?
Problem Analysis:

Coins: 2 quarters, 3 pennies

Values: Quarter = 25¢, Penny = 1¢

Goal: Find total value of all coins

Solution Steps:
  1. Step 1: Count the value of quarters
  2. Step 2: Count the value of pennies
  3. Step 3: Add both amounts together
  4. Step 4: Write the final answer
Step 1: Calculate quarters

2 quarters = 2 × 25¢ = 50¢

Step 2: Calculate pennies

3 pennies = 3 × 1¢ = 3¢

Step 3: Add amounts

50¢ + 3¢ = 53¢

Step 4: Express in dollars

53¢ = $0.53

Anna has 53¢ or $0.53
Final answer:

Anna has 53¢ or $0.53

Applied rules:

• Multiplication: Number of coins × Value per coin

• Addition: Sum all coin values

• Verification: Answer is reasonable

2 Simple Addition Problem with Solution
Exercise 2
👦
Ben has 35¢. His mom gives him 25¢ more. How much money does Ben have now?
Problem Analysis:

Starting Amount: 35¢

Additional Amount: 25¢

Goal: Find total amount after receiving more money

Step 1: Identify starting amount

Ben starts with: 35¢

Step 2: Identify additional amount

Ben receives: 25¢

Step 3: Add the amounts

35¢ + 25¢ = 60¢

Step 4: Express in dollars

60¢ = $0.60

Ben has 60¢ or $0.60 now
Final answer:

Ben has 60¢ or $0.60 now

Applied rules:

• Addition: When combining amounts

• Same Units: Both amounts in cents

• Total: Sum represents final amount

3 Simple Subtraction Problem with Solution
Exercise 3
👧
Emma had 75¢. She spent 40¢ on ice cream. How much money does Emma have left?
Problem Analysis:

Starting Amount: 75¢

Amount Spent: 40¢

Goal: Find remaining amount after spending

Step 1: Identify starting amount

Emma starts with: 75¢

Step 2: Identify amount spent

Emma spent: 40¢

Step 3: Subtract

75¢ - 40¢ = 35¢

Step 4: Express in dollars

35¢ = $0.35

Emma has 35¢ or $0.35 left
Final answer:

Emma has 35¢ or $0.35 left

Applied rules:

• Subtraction: When taking away amounts

• Same Units: Both amounts in cents

• Verification: Remaining amount is less than starting amount

Solution: Exercises 4 to 5
4 Simple Comparison Problem with Solution
Exercise 4
👦
Tom has 60¢.
👧
Sarah has 45¢. Who has more money and how much more?
Problem Analysis:

Tom's Money: 60¢

Sarah's Money: 45¢

Questions: Who has more? How much more?

Goal: Compare amounts and find difference

Step 1: Compare the amounts

Tom: 60¢, Sarah: 45¢

60¢ > 45¢

Step 2: Calculate the difference

60¢ - 45¢ = 15¢

Step 3: Answer both parts

Tom has more money

Tom has 15¢ more than Sarah

Step 4: Express in dollars

15¢ = $0.15

Tom has more money by 15¢
Final answer:

Tom has more money by 15¢

Applied rules:

• Comparison: Compare values to determine greater amount

• Subtraction: Find difference between amounts

• Verification: Difference is positive and reasonable

5 Simple Multi-Step Problem with Solution
Exercise 5
👧
Lisa started with 80¢. She spent 30¢ on candy. Then her dad gave her 20¢. How much money does Lisa have now?
Problem Analysis:

Starting Amount: 80¢

Amount Spent: 30¢

Amount Received: 20¢

Goal: Find final amount after all transactions

Step 1: Start with initial amount

Lisa starts with: 80¢

Step 2: Subtract amount spent

80¢ - 30¢ = 50¢

Step 3: Add amount received

50¢ + 20¢ = 70¢

Step 4: Express in dollars

70¢ = $0.70

Lisa has 70¢ or $0.70 now
Final answer:

Lisa has 70¢ or $0.70 now

Applied rules:

• Sequential Operations: Follow events in chronological order

• Multi-step: Perform operations one at a time

• Verification: Final amount is reasonable

Questions & Answers

Question: Why is it important to write down all the steps when solving money problems?

Answer: Writing down all steps helps in many ways:

  • Keeps you organized: You won't lose track of what you're doing
  • Easy to check: You can go back and see if you made a mistake
  • Shows your thinking: Teachers can see how you solved the problem
  • Builds good habits: These skills help with harder problems later
  • Reduces errors: You can catch mistakes before finishing

Example: Instead of just writing "50¢", write "25¢ + 25¢ = 50¢" so you remember how you got the answer.

Question: How can I help my child verify their answers to money problems?

Answer: Here are effective verification strategies:

  1. Reasonableness Check: Does the answer make sense? (Change shouldn't be more than payment)
  2. Reverse Operation: If you added, subtract to check. If you subtracted, add to check
  3. Estimation: Round numbers to estimate if answer is close
  4. Re-read the Problem: Verify you answered the question that was asked
  5. Use Real Money: Practice with actual coins to verify the answer

Example: If problem asks for change from $1.00 for a 65¢ item and student answers 35¢:
Check: 65¢ + 35¢ = 100¢ = $1.00 ✓
Reasonableness: 35¢ is less than $1.00 ✓

Question: What are the key components of a complete problem solution?

Answer: A complete problem solution includes:

  • Problem Statement: Clearly identify what is being asked
  • Given Information: List all relevant numbers and facts
  • Method Used: Explain which operation(s) you chose and why
  • Step-by-Step Solution: Show all calculations in order
  • Final Answer: State the answer clearly with proper units
  • Verification: Check that the answer is correct and reasonable

This approach ensures students understand the problem-solving process thoroughly.