Comparing Interest Rates - Grade 3 Worksheet

Master comparing interest rates: percentages, growth concepts, and financial literacy basics through these comprehensive worksheets.

Worksheet Solutions: Problems 1 to 3
1 Basic percentage comparison
Problem 1
Compare 3% and 5%. Which interest rate is higher?
Definition:

Interest rate: A percentage that shows how much extra money you earn or pay over time

Percentage comparison method:
  1. Look at the numbers before the % symbol
  2. Compare the numbers using regular math
  3. The larger number represents the higher interest rate
Rate 1
3%
Comparison
> ? <
Rate 2
5%
Step 1: Compare the numbers

3 vs 5 → 3 < 5

Step 2: Apply to percentages

Since 3 < 5, then 3% < 5%

Step 3: Interpret meaning

5% interest rate gives more money back than 3%

3% < 5%
Final answer:

5% is the higher interest rate

Applied rules:

• Percentage comparison: Compare numbers before % symbol

• Higher rate: More interest earned on savings

• Lower rate: Less interest paid on loans

2 Bank interest comparison
Problem 2
Bank A offers 2% interest and Bank B offers 4% interest. Which bank pays more interest?
Definition:

Bank interest: Extra money banks pay you for keeping your money in their bank

Bank A Rate
2%
Comparison
> ? <
Bank B Rate
4%
Step 1: Compare the interest rates

2% vs 4% → 2 < 4

Step 2: Determine which pays more

Since 2% < 4%, Bank B pays more interest

Step 3: Understand the benefit

If you save money, Bank B will give you more extra money

2% < 4%
Final answer:

Bank B pays more interest (4% > 2%)

Applied rules:

• Higher interest rate: Better for savers (more money earned)

• Lower interest rate: Better for borrowers (less money paid)

• Comparison: Always compare the percentage numbers

3 Mixed comparison
Problem 3
Compare 6% interest and 10% interest. How much more interest does the higher rate give?
Definition:

Interest difference: The extra amount you get with a higher interest rate

Lower Rate
6%
Difference
10% - 6%
Higher Rate
10%
Step 1: Compare the rates

6% vs 10% → 6 < 10, so 6% < 10%

Step 2: Calculate the difference

10% - 6% = 4%

Step 3: Explain the meaning

The 10% rate gives 4% more interest than the 6% rate

Step 4: Real-world example

If you save ₱100, 10% gives ₱10 but 6% gives ₱6 (₱4 more)

10% - 6% = 4%
Final answer:

The 10% interest rate gives 4% more interest than the 6% rate

Applied rules:

• Subtraction: Find difference between rates

• Real-world impact: Higher rates mean more money earned

• Percentage arithmetic: Subtract percentages like regular numbers

Interest Rate Comparison Rules and Methods
A\% > B\% \text{ if } A > B
Percentage Comparison Rule
Interest Rate Basics
1% = 1 per 100
5% = 5 per 100
Comparison Symbols
> (Greater Than)
< (Less Than)
Interest Meaning
Higher = More Money
Lower = Less Money
Percentage Comparison: Compare numbers before % symbol as regular numbers
Interest Impact: Higher rates earn more money on savings
Tip 1: Think of % as "per hundred" - easier to understand.
Tip 2: When saving money, choose higher interest rates.
Tip 3: When borrowing money, choose lower interest rates.
Tip 4: Use subtraction to find differences between rates.
Key Interest Rate Comparison Steps:

• Step 1: Look at the numbers before the % symbol

• Step 2: Compare these numbers using regular math

• Step 3: Apply the comparison symbol to percentages

• Step 4: Understand the real-world meaning

Important Interest Terms:

Interest Rate: Percentage of money earned or paid over time

Savings Account: Place to keep money and earn interest

Bank: Place that holds money and pays interest

Percent (%): Means "per hundred" - part of 100

Worksheet Solutions: Problems 4 to 5
4 Savings comparison
Problem 4
You have ₱100 to save. Option A gives 3% interest, Option B gives 7% interest. Which option gives you more money after one year?
Definition:

Yearly interest: How much extra money you get after one year

Option A
3% of ₱100
Total
₱103
Option B
7% of ₱100
Total
₱107
Step 1: Calculate Option A interest

3% of ₱100 = (3/100) × ₱100 = ₱3

Total = ₱100 + ₱3 = ₱103

Step 2: Calculate Option B interest

7% of ₱100 = (7/100) × ₱100 = ₱7

Total = ₱100 + ₱7 = ₱107

Step 3: Compare the totals

₱103 vs ₱107 → ₱103 < ₱107

Step 4: Determine better option

Option B gives more money (₱107 > ₱103)

Option B (7%) > Option A (3%)
Final answer:

Option B with 7% interest gives more money after one year

Applied rules:

• Calculate interest: (rate/100) × principal amount

• Add to principal: Total = original + interest earned

• Compare totals: Higher total means more money

5 Multiple interest rates
Problem 5
Order these interest rates from lowest to highest: 8%, 2%, 9%, 5%, 12%
Definition:

Ordering percentages: Arranging from smallest to largest value

Rates
8%, 2%, 9%, 5%, 12%
Sorted
2%, 5%, 8%, 9%, 12%
Step 1: Compare all numbers

2, 5, 8, 9, 12

Step 2: Arrange from smallest to largest

2 < 5 < 8 < 9 < 12

Step 3: Apply to percentages

2% < 5% < 8% < 9% < 12%

Step 4: Verify the order

Check: 2% is lowest, 12% is highest

2% < 5% < 8% < 9% < 12%
Final answer:

From lowest to highest: 2%, 5%, 8%, 9%, 12%

Applied rules:

• Comparison: Compare numbers before % symbol

• Sorting: Arrange from smallest to largest

• Verification: Check that order is correct

Interest Rate Comparison Laws, Methods, and Definitions
\text{If } A > B, \text{ then } A\% > B\%
Percentage Comparison Law
Key interest definitions:

Interest rate: A percentage that shows how much extra money you earn or pay over time

Percentage: A way to show parts out of 100 (the % symbol means "per hundred")

Savings: Keeping money safe and earning interest on it

Complete interest rate comparison methodology:
  1. Identify the rates: Look at all interest rates to compare
  2. Compare numbers: Look at digits before % symbol
  3. Apply comparison: Use >, <, or = symbols
  4. Understand meaning: Know what higher/lower rates mean
  5. Calculate differences: Find how much more/less interest
Tip 1: For savings, higher interest rates are better.
Tip 2: For loans, lower interest rates are better.
Tip 3: Use real examples to understand the impact of different rates.
Tip 4: Always compare the numbers before the % symbol directly.
Common errors: Forgetting to compare numbers before %, confusing higher with lower.
Financial literacy: Understanding that interest affects how much money you earn or pay.
Essential interest rate comparison rules:

• Direct comparison: Compare numbers before % symbol as regular numbers

• Higher benefits: Higher rates mean more money earned on savings

• Lower costs: Lower rates mean less money paid on loans

• Real impact: Calculate actual amounts to see differences

• Context matters: Good rates depend on whether saving or borrowing

Interest Rate Comparison Infographic
Interest Rate Guide
📊
What is Interest?
%
Interest = Extra money you earn or pay
5%
5% = 5 per 100 = 5 pesos per ₱100 saved
10%
10% = 10 per 100 = 10 pesos per ₱100 saved
How to Compare
3%
<
5%
(3 is less than 5)
8%
>
6%
(8 is greater than 6)
4%
=
4%
(both are equal)
Comparison Process
Step-by-Step Process
1
Find Numbers
2
Compare
3
Apply Symbol
4
Understand
Real Impact
Save ₱100 at 2%
Get ₱102
Save ₱100 at 5%
Get ₱105
Save ₱100 at 10%
Get ₱110
Higher interest rates mean more money earned! Save smart!

Questions & Answers

Question: I don't understand what 5% means. How do I compare it to other percentages?

Answer: Great question! The % symbol means "per hundred" or "out of 100".

  • 5% means 5 out of every 100
  • So if you save ₱100 at 5% interest, you get ₱5 extra
  • To compare percentages, just look at the numbers: 5 vs 3 means 5% > 3%

Think of it like this: if you have 100 marbles, 5% means 5 marbles. If you have 100 pesos, 5% means 5 pesos.

Example: 8% vs 6% → Since 8 > 6, then 8% > 6%

Question: How can I help my child understand that higher interest rates are better for savings?

Answer: Use simple, concrete examples that children can relate to:

  • Give them ₱100 and say: "Which is better - getting ₱5 more or ₱8 more?"
  • Use a piggy bank analogy: "A higher interest rate is like a magic piggy bank that gives you more treats!"
  • Create a simple chart showing different rates and the extra money earned

Practical activity: Give your child play money and simulate different interest rates. For example, if they "save" ₱50 at 2% (₱1 extra) vs 4% (₱2 extra), they can physically see the difference.

Emphasize: "More interest = more money in your pocket!"

Question: How do I know which comparison symbol to use when comparing interest rates?

Answer: Here's a helpful memory trick for comparison symbols:

  • > (Greater than): The big end opens toward the bigger number (like a hungry mouth eating the larger number)
  • < (Less than): The small end points to the smaller number
  • = (Equal to): Both numbers are exactly the same

Examples:

  • 7% > 4% (7% is greater than 4%)
  • 2% < 8% (2% is less than 8%)
  • 5% = 5% (5% equals 5%)

Always compare the numbers before the % symbol just like regular numbers!