Counting Coins Worksheets for 3rd Grade

Master counting coins: pennies, nickels, dimes, and quarters through these 3 detailed exercises with step-by-step solutions.

Solved Exercises 1 to 3
1 Counting Mixed Coins
Exercise 1
Count the total value of these coins:
3 quarters, 2 dimes, 1 nickel, 4 pennies
Coin Values:
🪙
Quarter
25¢
dime
Dime
10¢
nickel
Nickel
5¢
penny
Penny
1¢
Counting Method:
  1. Identify the value of each type of coin
  2. Multiply the number of each coin by its value
  3. Add all amounts together
  4. Express in dollars and cents if needed
3
Quarters
3 × 25¢ = 75¢
2
Dimes
2 × 10¢ = 20¢
1
Nickels
1 × 5¢ = 5¢
4
Pennies
4 × 1¢ = 4¢
Step 1: Calculate each coin group

Quarters: 3 × 25¢ = 75¢

Dimes: 2 × 10¢ = 20¢

Nickels: 1 × 5¢ = 5¢

Pennies: 4 × 1¢ = 4¢

Step 2: Add all amounts

75¢ + 20¢ + 5¢ + 4¢ = 104¢

Step 3: Convert to dollars

104¢ = $1.04

Total Value:
$1.04
Final Answer:

The total value is $1.04

Applied Rules:

• Value Recognition: Know each coin's value

• Multiplication: Multiply count by value

• Addition: Sum all individual amounts

• Conversion: 100¢ = $1.00

2 Making Change
Exercise 2
Sarah has 2 quarters, 3 dimes, and 5 pennies.
She buys a candy bar for 67¢. How much change does she get?
Problem Structure:

Change = Amount Given - Cost of Item

2
Quarters
2 × 25¢ = 50¢
3
Dimes
3 × 10¢ = 30¢
5
Pennies
5 × 1¢ = 5¢
Step 1: Calculate total amount

50¢ + 30¢ + 5¢ = 85¢

Step 2: Subtract cost from total

85¢ - 67¢ = 18¢

Step 3: Express possible coin combinations

18¢ could be: 1 dime + 1 nickel + 3 pennies

Or: 1 dime + 8 pennies

Or: 3 nickels + 3 pennies

Change Received:
18¢
Final Answer:

Sarah gets 18¢ in change

Applied Rules:

• Subtraction: Change = Total - Cost

• Multiple Solutions: Same amount can be made with different coins

• Verification: Check that 67¢ + 18¢ = 85¢

3 Equivalent Values
Exercise 3
Show two different ways to make 45¢ using only dimes and nickels.
Equivalent Value Concept:

Same total value can be made with different combinations of coins

Step 1: Set up equation

Let d = number of dimes, n = number of nickels

10d + 5n = 45

Step 2: Find possible combinations

Solution 1: 4 dimes + 1 nickel = 40¢ + 5¢ = 45¢

Solution 2: 3 dimes + 3 nickels = 30¢ + 15¢ = 45¢

Step 3: Verify solutions

4 dimes + 1 nickel: (4 × 10¢) + (1 × 5¢) = 40¢ + 5¢ = 45¢ ✓

3 dimes + 3 nickels: (3 × 10¢) + (3 × 5¢) = 30¢ + 15¢ = 45¢ ✓

Solution 1
4 dimes + 1 nickel
45¢
Solution 2
3 dimes + 3 nickels
45¢
Final Answer:

Way 1: 4 dimes + 1 nickel = 45¢

Way 2: 3 dimes + 3 nickels = 45¢

Applied Rules:

• Algebraic Thinking: Set up equations to find combinations

• Systematic Approach: Try different numbers systematically

• Verification: Always check calculations

Coin Values and Counting Methods
1 Quarter = 25¢
Quarter (25 cents)
Penny
1¢
Smallest coin
Nickel
5¢
Worth 5 pennies
Dime
10¢
Worth 10 pennies
Quarter
25¢
Worth 25 pennies
Key Definitions:

Coin: Small metal piece used as money

Cent (¢): Smallest unit of US currency

Dollar ($): Larger unit of US currency (100¢ = $1)

Equivalent: Different combinations with same value

Counting Strategies:
  1. Group by Type: Count each coin type separately
  2. Start with Largest: Count quarters first, then dimes, etc.
  3. Count by Fives/Tens: Use skip counting
  4. Add in Steps: Add groups gradually
Tip 1: Remember "Q-D-N-P" for Quarter, Dime, Nickel, Penny.
Tip 2: 4 quarters = $1.00, 10 dimes = $1.00, 20 nickels = $1.00.
Tip 3: Use fingers to keep track while counting.
Tip 4: Always verify by adding backwards.
Common Mistakes: Confusing dime and penny values, forgetting to add all groups.
Memory Aid: Dime is bigger than penny but worth less than nickel.
Practice Problems and Applications
4 Shopping Scenario
Practice Problem 1
Tom has 5 quarters, 2 dimes, and 8 pennies.
He wants to buy a toy that costs $1.35.
Does he have enough money?
Step 1: Calculate Tom's money

5 quarters = 5 × 25¢ = 125¢

2 dimes = 2 × 10¢ = 20¢

8 pennies = 8 × 1¢ = 8¢

Total = 125¢ + 20¢ + 8¢ = 153¢ = $1.53

Step 2: Compare to toy cost

$1.53 > $1.35

Answer:

Yes, Tom has enough money and will have $0.18 left over.

5 Savings Challenge
Practice Problem 2
Maria saves 3 quarters every week for 4 weeks.
How much money does she have saved?
Step 1: Calculate weekly savings

3 quarters = 3 × 25¢ = 75¢ per week

Step 2: Calculate total savings

75¢ × 4 weeks = 300¢ = $3.00

Answer:

Maria has $3.00 saved after 4 weeks.

Key Concepts and Learning Objectives
100¢ = $1.00
Dollar Conversion
Essential Concepts:

Place Value: Understanding tens and ones in money

Equivalence: Different coin combinations equal same value

Operations: Addition and subtraction with money

Real-world Application: Shopping, saving, budgeting

Learning Progression:
  1. Recognition: Identify each coin and its value
  2. Counting: Count multiple coins of same type
  3. Combining: Add different coin types together
  4. Problem Solving: Apply to real-world scenarios
Practice Tip: Use real coins to physically count and group.
Visual Aid: Draw circles for coins and write values inside.
Memory Strategy: Remember the size doesn't match the value!
Assessment Focus: Students should fluently count mixed coins up to $5.00.
Real World Connection: These skills apply to shopping and financial literacy.
Grade 3 Standards:

• Solve word problems involving money using dollar and cent symbols appropriately

• Represent equivalent amounts of money using different combinations of coins

• Make change in amounts up to $5.00

• Understand relationships between coins (e.g., 5 pennies = 1 nickel)

Questions & Answers

Question: I get confused when counting dimes and pennies because they look similar. How can I remember which is which and their values?

Answer: Great question! Here are some memory aids:

  • Size Comparison: Dimes are smaller than pennies but worth more (10¢ vs 1¢)
  • Color: Pennies are copper/brown, dimes are silver
  • Memory Trick: "Dime" starts with "D" like "Decade" (10 years)
  • Physical Feel: Dimes are thin and small, pennies are thicker

Practice by sorting coins into groups and counting each type separately. Start with one type at a time!

Remember: Even though dimes are smaller, they're worth more than 10 pennies combined!

Question: My child struggles with counting mixed coins quickly. What strategies can help them become more efficient?

Answer: Here are effective strategies for faster counting:

  • Sort First: Group identical coins together before counting
  • Count by Multiples: Count quarters by 25s, dimes by 10s, nickels by 5s
  • Start Large: Count higher-value coins first (quarters, then dimes, etc.)
  • Use Skip Counting: Practice counting by 5s, 10s, and 25s

For example, with 2 quarters, 3 dimes, 1 nickel, 4 pennies:

25, 50 (quarters) → 60, 70, 80 (dimes) → 85 (nickel) → 86, 87, 88, 89 (pennies)

Regular practice with real coins builds speed and confidence!

Question: How do I know when to write money as cents (¢) and when to write it as dollars ($)?

Answer: Here's the rule for money notation:

  • Use ¢ symbol: When the amount is less than $1.00 (e.g., 75¢)
  • Use $ symbol: When the amount is $1.00 or more (e.g., $1.25)
  • Conversion: 100¢ = $1.00

Example: 95¢ stays as 95¢, but 100¢ becomes $1.00

You can also write amounts under $1 as decimals: 75¢ = $0.75

The important thing is to be consistent and clear about which unit you're using!