Making Change Quiz
Quiz Instructions
Solve each problem step by step. Show your work for full credit. Circle your final answer.
1 Basic Change
Quiz Question 1
Problem: You buy a candy bar that costs 65¢. You give the cashier 1 dollar. How much change should you get back?
Answer: _____________
Show your work:
________________________
________________________
Correct Answer:
Amount given: $1.00 = 100¢
Cost of item: 65¢
Calculation: 100¢ - 65¢ = 35¢
Answer: You should get back 35¢ in change.
Key Concept:
Change: The money returned when you pay more than the cost of an item
Rule:
Change = Amount Paid - Cost of Item
2 Multiple Items
Quiz Question 2
Problem: You buy a juice box for 80¢ and a cookie for 45¢. You give the cashier $2.00. How much change should you get back?
Answer: _____________
Show your work:
________________________
________________________
Correct Answer:
Cost of juice box: 80¢
Cost of cookie: 45¢
Total cost: 80¢ + 45¢ = 125¢ = $1.25
Amount given: $2.00
Calculation: $2.00 - $1.25 = $0.75 = 75¢
Answer: You should get back 75¢ in change.
Key Concept:
Total Cost: The sum of all individual item prices
Rules:
• Add up all item costs to find total
• Then subtract total from amount given
3 Coin Combinations
Quiz Question 3
Problem: Show two different ways to make 50¢ using quarters, dimes, and nickels.
Way 1: _________ quarters, _________ dimes, _________ nickels
Way 2: _________ quarters, _________ dimes, _________ nickels
Correct Answer:
Way 1: 2 quarters, 0 dimes, 0 nickels (50¢)
Way 2: 1 quarter, 2 dimes, 1 nickel (25¢ + 20¢ + 5¢ = 50¢)
Answer: There are multiple ways to make 50¢ using different coin combinations.
Key Concept:
Coin Combinations: Different sets of coins that add up to the same amount
Rule:
Same amount can be made with different coin combinations
Intermediate Quiz Questions
4 Word Problems
Quiz Question 4
Problem: Sarah has 2 dollars and 35 cents. She wants to buy a book that costs $1.75. Does she have enough money? If yes, how much change will she get?
Answer: _____________
Show your work:
________________________
________________________
Correct Answer:
Sarah's money: $2.35
Cost of book: $1.75
Is it enough? Yes, because $2.35 > $1.75
Calculation: $2.35 - $1.75 = $0.60 = 60¢
Answer: Yes, she has enough money. She will get 60¢ in change.
Key Concept:
Comparison: Compare total money with cost to determine if purchase is possible
Rule:
If Total Money ≥ Cost, then purchase is possible
5 Mixed Currency
Quiz Question 5
Problem: Tom has 4 quarters, 3 dimes, and 5 pennies. He wants to buy a toy that costs $1.25. Does he have enough money? If yes, how much change will he get?
Answer: _____________
Show your work:
________________________
________________________
Correct Answer:
Quarters value: 4 × 25¢ = 100¢ = $1.00
Dimes value: 3 × 10¢ = 30¢
Pennies value: 5 × 1¢ = 5¢
Total money: $1.00 + 30¢ + 5¢ = $1.35
Cost of toy: $1.25
Answer: Yes, he has enough money. He will get $1.35 - $1.25 = $0.10 = 10¢ in change.
Key Concept:
Currency Conversion: Calculate total value of different coin types
Rule:
Calculate value of each coin type separately, then add together
Advanced Quiz Questions
6 Efficient Change
Quiz Question 6
Problem: A customer pays $5.00 for an item that costs $3.40. What is the most efficient way to give the change using the fewest coins possible?
Answer: _____________
Show your work:
________________________
________________________
Correct Answer:
Calculation: $5.00 - $3.40 = $1.60
Most efficient way: 1 dollar bill + 2 quarters + 1 dime = $1.00 + 50¢ + 10¢ = $1.60
Answer: The most efficient way is 1 dollar bill + 2 quarters + 1 dime (4 total coins/bills).
Key Concept:
Efficiency: Using the fewest coins/bills possible to make change
Rule:
Always start with the largest denomination first
7 Multiple Scenarios
Quiz Question 7
Problem: Scenario A: Buy a pen for 85¢ with $1.00. Scenario B: Buy a notebook for $1.25 with $2.00. Which scenario gives more change? How much more?
Answer: _____________
Show your work:
________________________
________________________
Correct Answer:
Scenario A: $1.00 - 85¢ = 15¢
Scenario B: $2.00 - $1.25 = 75¢
Comparison: 75¢ - 15¢ = 60¢
Answer: Scenario B gives more change. It gives 60¢ more than Scenario A.
Key Concept:
Comparison: Calculating and comparing different change amounts
Rule:
Calculate each scenario separately, then compare the results
Quiz Score: ______ / 7 Questions Correct
Making Change: Complete Summary
This comprehensive guide covers everything you need to know about making change in 2nd grade math.
Coin Values
• Penny = 1 cent = $0.01
• Nickel = 5 cents = $0.05
• Dime = 10 cents = $0.10
• Quarter = 25 cents = $0.25
• 100 cents = $1.00
Key Formulas
• Change = Amount Paid - Cost
• Total Cost = Sum of all item prices
• Total Money = Sum of all coin values
• $1.00 = 100¢
Problem Steps
1. Read the problem carefully
2. Identify what you know
3. Determine what you need to find
4. Plan your calculation
5. Solve the problem
6. Check your answer
Common Mistakes
• Confusing coin values
• Forgetting to convert dollars to cents
• Subtraction errors
• Not checking if money is sufficient
• Miscounting change combinations
Making Change Strategies:
- Counting Up Method: Start at the cost and count up to the amount paid
- Subtraction Method: Amount paid minus cost equals change
- Use Largest Coins First: Always start with the biggest denominations
- Check Your Work: Add change back to cost to verify
Tip 1: Practice counting by 5s, 10s, and 25s regularly.
Tip 2: Use real coins at home to practice making different amounts.
Tip 3: Draw circles with coin values to represent physical coins.
Tip 4: Always verify your change calculation by adding it back.
Real-world connection: Making change skills apply to shopping, banking, and budgeting.
Mathematical foundation: Builds number sense and arithmetic skills.
Questions & Answers
Question: I'm confused about making change. When I buy something that costs 85 cents and I pay with $1.00, why do I get 15 cents back? Shouldn't I get 25 cents?
Answer: Great question! Let me explain the math clearly:
- You paid: $1.00 = 100 cents
- Item cost: 85 cents
- Change: 100 cents - 85 cents = 15 cents
Think of it this way: if something costs 85 cents and you give 100 cents, you're giving 15 cents more than needed. That extra 15 cents comes back to you as change.
The confusion might come from thinking about quarters: $1.00 is 4 quarters, and 85 cents is 3 quarters plus 1 dime. So you'd get back 1 quarter minus 1 dime = 15 cents.
Always remember: Change = Money Given - Cost of Item
Question: My child struggles with coin identification. How can I help them memorize which coin is worth what?
Answer: Here are effective strategies to help your child learn coin values:
- Physical Practice: Use real coins for hands-on learning
- Mnemonic Devices: "Quarter = Quarter of a dollar = 25 cents", "Dime = Ten cents = 10 cents"
- Size Doesn't Matter: Remind that a penny is smallest but worth 1 cent, while a nickel is bigger but only worth 5 cents
- Visual Association: Point out unique features: Lincoln on penny, Jefferson on nickel, Roosevelt on dime, Washington on quarter
- Regular Practice: Daily counting exercises with different coin combinations
Create games like "Guess the Coin" where you describe the value and let them identify the coin. Also, practice at stores when possible!
Question: What's the best method for teaching children to make change - subtraction or counting up?
Answer: Both methods have their place, but for young learners, I recommend starting with the counting up method:
- Counting Up: More intuitive for children, especially when the numbers are close together
- Example: For $1.00 - $0.85, count up: $0.85 → $0.90 (5¢) → $1.00 (10¢ more) = 15¢
- Subtraction: More abstract, but important for building computational skills
I suggest introducing counting up first, then gradually incorporating subtraction once the concept is solid. Some children may prefer one method over the other, so offering both options is beneficial.
The key is ensuring they understand the relationship between the cost, payment, and change regardless of the method used.