Formula Fun for 7th Graders! 🧮

Name:

Date:

Period:

📐 Part 1: Area & Perimeter

Formula Reference: Rectangle Area = l × w | Rectangle Perimeter = 2l + 2w | Triangle Area = ½ × b × h | Circle Area = π × r²

1. 🟦 A rectangular basketball court is 84 feet long and 50 feet wide. What is the area of the court?

Answer: _________________ ft²

2. 🟦 Using the same court from Question 1, what is the perimeter? (How far would you run if you jogged around the whole edge?)

Answer: _________________ ft

3. 🔺 A triangular garden has a base of 12 feet and a height of 9 feet. What is the area of the garden?

Answer: _________________ ft²

4. 🔵 A circular pizza has a radius of 7 inches. What is the area of the pizza? (Use π ≈ 3.14)

Answer: _________________ in²

5. A square park has sides of 15 feet each. What is the perimeter of the park?

Answer: _________________ ft

📦 Part 2: Volume & Surface Area

Formula Reference: Rectangular Prism Volume = l × w × h | Rectangular Prism Surface Area = 2(lw + lh + wh) | Cylinder Volume = π × r² × h

6. 📦 A cardboard box (rectangular prism) is 10 inches long, 6 inches wide, and 4 inches tall. What is the volume of the box?

Answer: _________________ in³

7. 📦 Using the same box from Question 6, what is the surface area? (How much cardboard was used to make it?)

Answer: _________________ in²

8. 🥫 A soup can (cylinder) has a radius of 2 inches and a height of 5 inches. What is the volume of the can? (Use π ≈ 3.14)

Answer: _________________ in³

9. A fish tank is 24 inches long, 12 inches wide, and 16 inches tall. How many cubic inches of water can it hold?

Answer: _________________ in³

🔢 Part 3: Algebraic Formulas & Real-World Problems

Formula Reference: Distance = rate × time (d = rt) | Simple Interest = P × r × t | Celsius to Fahrenheit: F = (9/5)C + 32

10. 🚗 A car travels at 60 miles per hour for 2.5 hours. Using d = r × t, how far does the car travel?

Answer: _________________ miles

11. 💰 Maria deposits $500 in a savings account with a simple interest rate of 4% per year. Using I = P × r × t, how much interest will she earn in 3 years?

Answer: $ _________________

12. 🌡️ The temperature in Mexico City is 30°C. Use F = (9/5)C + 32 to convert it to Fahrenheit. Would you need a jacket?

Answer: _________________ °F Need a jacket? Yes / No

13. ✏️ Which formula would you use to find how much wrapping paper you need to cover a gift box? Circle the correct answer and explain why.

Volume

Surface Area

Perimeter

Area

Because: _____________________________________________________________

14. 🤔 Challenge! A swimming pool is 30 feet long, 15 feet wide, and 5 feet deep. First find the volume of the pool in cubic feet. Then explain in your own words what the volume tells us about the pool.