Educational math worksheets covering simple interest, angles, discounts, and percent change, designed for engaging learning.
Four math worksheets on a blue grid background, featuring topics like simple interest, adjacent and vertical angles, discounts and mark-ups, and percent of change, each with interactive elements like coloring and mazes.
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Step-by-step solution for: 7th Grade Math FUN Worksheets - To The Square Inch
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Show Answer Key & Explanations
Step-by-step solution for: 7th Grade Math FUN Worksheets - To The Square Inch
It looks like you've uploaded a collection of math worksheets from "To the Square Inch" that cover various topics: Simple Interest, Adjacent & Vertical Angles, Discounts & Mark-Ups, and Percent of Change. These are interactive, engaging math activities designed to help students practice concepts while incorporating coloring or puzzle-solving elements.
However, since this is an image with multiple overlapping worksheets and no specific question highlighted, I’ll break down each worksheet and explain how to solve the problems on them—especially focusing on the most visible ones (like the "Discounts & Mark-Ups" and "Percent of Change" mazes). I'll also provide step-by-step solutions for sample problems.
---
This activity involves calculating discounts and mark-ups, then using the answers to color a mandala-like design based on a code.
#### Example Problem:
> Original Price: $45.00
> Sale Percent: 40% off
> Find Discount Amount
Step-by-step Solution:
1. Calculate 40% of $45.00:
\[
0.40 \times 45 = 18
\]
2. So, the discount is $18.00.
3. According to the key: Color the 1's RED → The answer $18.00 has a '1' in it? Wait — actually, the key says:
- $1.80 → Color the 1's RED
- $18.00 → Color the 1's PINK
So if the discount is $18.00, we look for the number 1 in the answer and color those sections PINK.
✔ So, any region labeled with 1 should be colored PINK.
Let’s go through more:
---
#### Problem: A shirt originally $17.00, 25% off. What is the sale price?
Solution:
1. Discount amount:
\( 0.25 \times 17 = 4.25 \)
2. Sale price:
\( 17 - 4.25 = 12.75 \)
Answer: $12.75
→ From the key: Color the 5's DARK BLUE
So, all regions labeled 5 get colored DARK BLUE.
---
#### Problem: Wendy bought pencils for $0.05 and sold them at a 75% mark-up. How much did she sell them for?
Solution:
1. Mark-up amount:
\( 0.75 \times 0.05 = 0.0375 \)
2. Selling price:
\( 0.05 + 0.0375 = 0.0875 \) ≈ $0.09 (rounded to nearest cent)
Answer: $0.09
→ Key: Color the 6's ORANGE → But $0.09 has no 6 → so no coloring for this one?
Wait! Let's check the key again:
> $0.09 → Color the 6's ORANGE
That seems incorrect unless there's a typo. Actually, perhaps the answer is $0.09, and the key says:
> $0.14 → Color the 6's RED
> $0.09 → Color the 6's ORANGE
But $0.09 doesn’t have a 6 → maybe this is a mistake?
Wait — likely the value $0.09 corresponds to "Color the 6's ORANGE" because the problem number might be 6? Or perhaps it's based on the answer value.
Actually, looking closely:
The key says:
> $0.09 → Color the 6's ORANGE
So even though 0.09 doesn't contain a 6, maybe it's indicating that if your answer is $0.09, then color all the 6's in the picture ORANGE.
So regardless of whether the number contains a 6, you're just coloring the sections labeled with 6.
So yes: Color all regions labeled "6" in ORANGE.
---
#### Summary for "Discounts & Mark-Ups":
You solve each word problem, find the correct answer, then use the color code to color the corresponding numbers in the mandala.
For example:
- If answer is $18.00 → Color the 1's in PINK
- If answer is $12.75 → Color the 5's in DARK BLUE
- If answer is $0.09 → Color the 6's in ORANGE
👉 So after solving all problems, you fill in the mandala by coloring sections according to the number and its associated color.
---
This is a maze where you must calculate percent change correctly to move forward.
Let’s solve each problem:
---
#### 🟦 Start: Bookstore sold coloring books for $4, now on sale for $1. Find percent decrease.
Formula for Percent Decrease:
\[
\text{Percent Decrease} = \frac{\text{Original} - \text{New}}{\text{Original}} \times 100
\]
\[
= \frac{4 - 1}{4} \times 100 = \frac{3}{4} \times 100 = 75\%
\]
✔ Answer: 75% → Follow arrow to 75%
---
#### ✔ Next: Candice bought t-shirts for $5, sold for $12. Find percent increase.
\[
\text{Percent Increase} = \frac{12 - 5}{5} \times 100 = \frac{7}{5} \times 100 = 140\%
\]
✔ Answer: 140% → Follow arrow to 140%
---
#### ✔ Next: Joshua bought 16 pizzas, 2.5 left. Find percent of change.
Change in quantity: \( 16 - 2.5 = 13.5 \)
\[
\text{Percent of change} = \frac{13.5}{16} \times 100 = 84.375\% \approx 84\%
\]
✔ Answer: 84% → Follow arrow to 84%
---
#### ✔ Next: Last year 350 people came to fair, this year 575. Find percent of change.
\[
\frac{575 - 350}{350} \times 100 = \frac{225}{350} \times 100 = 64.2857\% \approx 64\%
\]
✔ Answer: 64% → Follow arrow to 64%
---
#### ✔ Next: Ace had $40, now has $140. Percent of change?
\[
\frac{140 - 40}{40} \times 100 = \frac{100}{40} \times 100 = 250\%
\]
✔ Answer: 250% → Follow arrow to 250%
Then reach FINISH
---
Start → 75% → 140% → 84% → 64% → 250% → FINISH
If you follow this path, you successfully complete the maze.
---
Use formula:
\[
I = P \times r \times t
\]
Where:
- \( I \) = interest
- \( P \) = principal
- \( r \) = rate (as decimal)
- \( t \) = time in years
#### Example: A. P=$500, r=5%, t=6 years
\[
I = 500 \times 0.05 \times 6 = 500 \times 0.3 = 150
\]
Answer: $150.00
Then locate $150 on grid and draw image.
Other problems:
- B: P=$1000, r=3%, t=10 → \( 1000 \times 0.03 \times 10 = 300 \)
- C: P=$1500, r=4%, t=5 → \( 1500 \times 0.04 \times 5 = 300 \)
- G: P=$1500, r=3.5%, I=$262.50 → find t
\[
t = \frac{I}{P \times r} = \frac{262.50}{1500 \times 0.035} = \frac{262.50}{52.5} = 5 \text{ years}
\]
---
You’re given diagrams with intersecting lines and angles.
Use:
- Adjacent angles add up to 180° if they form a straight line
- Vertical angles are equal
#### Example: Two lines cross, one angle is 125°, adjacent is x.
Since they form a straight line:
\[
x = 180° - 125° = 55°
\]
Then find boxes with 55° and color yellow.
Another: Two angles are vertical → both are equal.
In the grid, you’ll see repeated values like 125°, 55°, 94°, etc.
You match the calculated angle to the box and color accordingly.
---
| Worksheet | Topic | Sample Problem | Answer |
|--------|-------|----------------|--------|
| Discounts & Mark-Ups | Discount | $45 at 40% off | $18.00 |
| Discounts & Mark-Ups | Mark-Up | $0.05 + 75% mark-up | $0.09 |
| Percent of Change | Decrease | $4 → $1 | 75% |
| Percent of Change | Increase | $5 → $12 | 140% |
| Percent of Change | Change | 16 → 2.5 pizzas | 84% |
| Percent of Change | Increase | 350 → 575 | 64% |
| Percent of Change | Increase | $40 → $140 | 250% |
| Simple Interest | Interest | $500 @ 5% for 6 yrs | $150 |
| Simple Interest | Time | I=$262.50, P=$1500, r=3.5% | 5 years |
| Angles | Adjacent | 125° + x = 180° | x = 55° |
---
To solve these worksheets:
1. Calculate each problem using formulas.
2. Round as needed.
3. Match answers to grids, colors, or maze paths.
4. Color or trace accordingly.
✔ For the Percent of Change maze, the correct path is:
Start → 75% → 140% → 84% → 64% → 250% → Finish
✔ For Discounts & Mark-Ups, solve each problem and use the color code to color the numbered sections.
Let me know if you want a PDF version, solution key, or printable answer sheet for any of these!
However, since this is an image with multiple overlapping worksheets and no specific question highlighted, I’ll break down each worksheet and explain how to solve the problems on them—especially focusing on the most visible ones (like the "Discounts & Mark-Ups" and "Percent of Change" mazes). I'll also provide step-by-step solutions for sample problems.
---
🔹 Worksheet 1: DISCOUNTS & MARK-UPS – Color & Solve
This activity involves calculating discounts and mark-ups, then using the answers to color a mandala-like design based on a code.
#### Example Problem:
> Original Price: $45.00
> Sale Percent: 40% off
> Find Discount Amount
Step-by-step Solution:
1. Calculate 40% of $45.00:
\[
0.40 \times 45 = 18
\]
2. So, the discount is $18.00.
3. According to the key: Color the 1's RED → The answer $18.00 has a '1' in it? Wait — actually, the key says:
- $1.80 → Color the 1's RED
- $18.00 → Color the 1's PINK
So if the discount is $18.00, we look for the number 1 in the answer and color those sections PINK.
✔ So, any region labeled with 1 should be colored PINK.
Let’s go through more:
---
#### Problem: A shirt originally $17.00, 25% off. What is the sale price?
Solution:
1. Discount amount:
\( 0.25 \times 17 = 4.25 \)
2. Sale price:
\( 17 - 4.25 = 12.75 \)
Answer: $12.75
→ From the key: Color the 5's DARK BLUE
So, all regions labeled 5 get colored DARK BLUE.
---
#### Problem: Wendy bought pencils for $0.05 and sold them at a 75% mark-up. How much did she sell them for?
Solution:
1. Mark-up amount:
\( 0.75 \times 0.05 = 0.0375 \)
2. Selling price:
\( 0.05 + 0.0375 = 0.0875 \) ≈ $0.09 (rounded to nearest cent)
Answer: $0.09
→ Key: Color the 6's ORANGE → But $0.09 has no 6 → so no coloring for this one?
Wait! Let's check the key again:
> $0.09 → Color the 6's ORANGE
That seems incorrect unless there's a typo. Actually, perhaps the answer is $0.09, and the key says:
> $0.14 → Color the 6's RED
> $0.09 → Color the 6's ORANGE
But $0.09 doesn’t have a 6 → maybe this is a mistake?
Wait — likely the value $0.09 corresponds to "Color the 6's ORANGE" because the problem number might be 6? Or perhaps it's based on the answer value.
Actually, looking closely:
The key says:
> $0.09 → Color the 6's ORANGE
So even though 0.09 doesn't contain a 6, maybe it's indicating that if your answer is $0.09, then color all the 6's in the picture ORANGE.
So regardless of whether the number contains a 6, you're just coloring the sections labeled with 6.
So yes: Color all regions labeled "6" in ORANGE.
---
#### Summary for "Discounts & Mark-Ups":
You solve each word problem, find the correct answer, then use the color code to color the corresponding numbers in the mandala.
For example:
- If answer is $18.00 → Color the 1's in PINK
- If answer is $12.75 → Color the 5's in DARK BLUE
- If answer is $0.09 → Color the 6's in ORANGE
👉 So after solving all problems, you fill in the mandala by coloring sections according to the number and its associated color.
---
🔹 Worksheet 2: PERCENT OF CHANGE – Math Maze
This is a maze where you must calculate percent change correctly to move forward.
Let’s solve each problem:
---
#### 🟦 Start: Bookstore sold coloring books for $4, now on sale for $1. Find percent decrease.
Formula for Percent Decrease:
\[
\text{Percent Decrease} = \frac{\text{Original} - \text{New}}{\text{Original}} \times 100
\]
\[
= \frac{4 - 1}{4} \times 100 = \frac{3}{4} \times 100 = 75\%
\]
✔ Answer: 75% → Follow arrow to 75%
---
#### ✔ Next: Candice bought t-shirts for $5, sold for $12. Find percent increase.
\[
\text{Percent Increase} = \frac{12 - 5}{5} \times 100 = \frac{7}{5} \times 100 = 140\%
\]
✔ Answer: 140% → Follow arrow to 140%
---
#### ✔ Next: Joshua bought 16 pizzas, 2.5 left. Find percent of change.
Change in quantity: \( 16 - 2.5 = 13.5 \)
\[
\text{Percent of change} = \frac{13.5}{16} \times 100 = 84.375\% \approx 84\%
\]
✔ Answer: 84% → Follow arrow to 84%
---
#### ✔ Next: Last year 350 people came to fair, this year 575. Find percent of change.
\[
\frac{575 - 350}{350} \times 100 = \frac{225}{350} \times 100 = 64.2857\% \approx 64\%
\]
✔ Answer: 64% → Follow arrow to 64%
---
#### ✔ Next: Ace had $40, now has $140. Percent of change?
\[
\frac{140 - 40}{40} \times 100 = \frac{100}{40} \times 100 = 250\%
\]
✔ Answer: 250% → Follow arrow to 250%
Then reach FINISH
---
✔ Final Path Through Maze:
Start → 75% → 140% → 84% → 64% → 250% → FINISH
If you follow this path, you successfully complete the maze.
---
🔹 Worksheet 3: SIMPLE INTEREST – Picture Grid
Use formula:
\[
I = P \times r \times t
\]
Where:
- \( I \) = interest
- \( P \) = principal
- \( r \) = rate (as decimal)
- \( t \) = time in years
#### Example: A. P=$500, r=5%, t=6 years
\[
I = 500 \times 0.05 \times 6 = 500 \times 0.3 = 150
\]
Answer: $150.00
Then locate $150 on grid and draw image.
Other problems:
- B: P=$1000, r=3%, t=10 → \( 1000 \times 0.03 \times 10 = 300 \)
- C: P=$1500, r=4%, t=5 → \( 1500 \times 0.04 \times 5 = 300 \)
- G: P=$1500, r=3.5%, I=$262.50 → find t
\[
t = \frac{I}{P \times r} = \frac{262.50}{1500 \times 0.035} = \frac{262.50}{52.5} = 5 \text{ years}
\]
---
🔹 Worksheet 4: ADJACENT & VERTICAL ANGLES – Color by Code
You’re given diagrams with intersecting lines and angles.
Use:
- Adjacent angles add up to 180° if they form a straight line
- Vertical angles are equal
#### Example: Two lines cross, one angle is 125°, adjacent is x.
Since they form a straight line:
\[
x = 180° - 125° = 55°
\]
Then find boxes with 55° and color yellow.
Another: Two angles are vertical → both are equal.
In the grid, you’ll see repeated values like 125°, 55°, 94°, etc.
You match the calculated angle to the box and color accordingly.
---
✔ Summary of All Solutions
| Worksheet | Topic | Sample Problem | Answer |
|--------|-------|----------------|--------|
| Discounts & Mark-Ups | Discount | $45 at 40% off | $18.00 |
| Discounts & Mark-Ups | Mark-Up | $0.05 + 75% mark-up | $0.09 |
| Percent of Change | Decrease | $4 → $1 | 75% |
| Percent of Change | Increase | $5 → $12 | 140% |
| Percent of Change | Change | 16 → 2.5 pizzas | 84% |
| Percent of Change | Increase | 350 → 575 | 64% |
| Percent of Change | Increase | $40 → $140 | 250% |
| Simple Interest | Interest | $500 @ 5% for 6 yrs | $150 |
| Simple Interest | Time | I=$262.50, P=$1500, r=3.5% | 5 years |
| Angles | Adjacent | 125° + x = 180° | x = 55° |
---
🎯 Final Answer:
To solve these worksheets:
1. Calculate each problem using formulas.
2. Round as needed.
3. Match answers to grids, colors, or maze paths.
4. Color or trace accordingly.
✔ For the Percent of Change maze, the correct path is:
Start → 75% → 140% → 84% → 64% → 250% → Finish
✔ For Discounts & Mark-Ups, solve each problem and use the color code to color the numbered sections.
Let me know if you want a PDF version, solution key, or printable answer sheet for any of these!
Parent Tip: Review the logic above to help your child master the concept of fun math worksheet for 7th graders.