Compound Interest Word Problems Game/Worksheet

Compound Interest Word Problems Game/Worksheet
Welcome to the Compound Interest Word Problems Challenge! This game is an interactive game to challenge students to read financial word problems, identify the key variables of the compound interest formula, and calculate the final balances or interest earned. Scroll down the page for a more detailed explanation.

 

 

How to Play

1. Read the Portfolio Scenario: The main workspace displays a unique financial narrative describing a person investing a specific amount of money into an asset (like a high-yield savings account or an index fund).
   

2. Identify the Target Objective: Look closely at what the problem is asking for at the very end. The game alternates between two different goals:
   Account Balance: Find the total accumulated value of the investment after the time period has passed.
   Interest Income: Find only the extra money earned over time, excluding the initial deposit.
   

3. Calculate and Submit: Use the reference formula provided in the gold bar to calculate your answer. Type your final value into the input field rounded to the nearest cent (e.g., 1245.53). Do not type commas or dollar signs.
   

4. Audit Your Model: Click Verify Financial Model to test your results. If you are correct, your virtual Net Worth Account increases by 100! If there is an error, a complete step-by-step audit trail will appear to show you exactly where the math shifted.
   

How the Math Works
The game is built around the standard compound interest formula:

\(A = P\left(1 + \frac{r}{n}\right)^{nt}\)

To solve every scenario correctly, you need to extract four different variables from the story text and apply them in order:
P (Principal): The initial sum of money deposited. If a scenario says Taylor invests 2,500, then P = 2500.
r (Annual Interest Rate): The percentage the investment earns per year. Crucial Step: You must always convert this percentage into a decimal before plugging it into the formula (e.g., 4.5% = 0.045).
n (Compounding Frequency): How many times per year the bank calculates and updates the interest. The text uses financial terms that translate directly to numbers:
Annually: n = 1
Semiannually: n = 2
Quarterly: n = 4
Monthly: n = 12
t (Time): The total number of years the money is left in the account to grow.

The Step-by-Step Order of Operations
To calculate the final value without errors, always work from the inside out using standard algebraic order of operations (PEMDAS):

1. Divide the Rate: Calculate \(\frac{r}{n}\) to find your periodic interest rate, then add 1 to it.
   

2. Multiply the Exponent: Multiply n × t to find the total number of compounding periods over the life of the asset.
   

3. Apply the Exponent: Raise your step 1 result to the power of your step 2 result.
   

4. Multiply by Principal: Multiply that final growth factor by P to find the total account balance (A).
   

5. Check the Question Type: If the game asks for Account Balance, you are done. If it asks for Interest Income, perform one last step: subtract the starting principal from your total (A - P).
   

Compound Interest Word Problems

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