MathematicsFreePrintable

Formula Fun Worksheet

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Formula Fun Worksheet worksheet preview

Formula Fun for 7th Graders! 🧮

Math formulas and shapes illustration

📐 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 soccer field is 80 feet long and 50 feet wide. What is the area of the field?

Area = _______________ square feet

2. 🟦 Using the same soccer field above, what is the perimeter? (How far would you run around the whole field?)

Perimeter = _______________ feet

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

Area = _______________ square feet

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

Area ≈ _______________ square inches

5. Which formula would you use to find how much carpet covers a rectangular bedroom floor?

Perimeter = 2l + 2w

Area = l × w

Volume = l × w × h

Area = ½ × b × h

📦 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 is 10 inches long, 6 inches wide, and 4 inches tall. What is the volume of the box?

Volume = _______________ cubic inches

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

Surface Area = _______________ square inches

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

Volume ≈ _______________ cubic inches

9. Select ALL the measurements you need to find the volume of a rectangular prism:

Length

Width

Diagonal

Height

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

Volume = _______________ cubic inches

🔢 Part 3: Algebraic Formulas & Challenge

Formula Reference: Distance = rate × time (d = rt)  |  Simple Interest = principal × rate × time (I = prt)  |  Temperature: °F = (°C × 9/5) + 32

11. 🚗 A car travels at 60 miles per hour for 3 hours. How far does it travel? Use d = rt.

Distance = _______________ miles

12. 💰 Marcus puts $500 in a savings account with a simple interest rate of 4% for 2 years. How much interest does he earn? Use I = prt. (Hint: 4% = 0.04)

Interest = $ _______________

13. 🌡️ It is 25°C in Mexico City. What is the temperature in °F? Use °F = (°C × 9/5) + 32.

Temperature = _______________ °F

14. 🚴 Sofia bikes at 12 miles per hour. She needs to travel 36 miles. How many hours will the trip take? Use d = rt, solve for t.

Time = _______________ hours

15. 🌟 Challenge! A room has a rectangular floor that is 15 feet × 12 feet and walls that are 8 feet tall. You want to paint only the 4 walls (not the floor or ceiling). What is the total wall area you need to paint? Show all your work and explain your thinking!

Total Wall Area = _______________ square feet

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