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

Formulas to use:   Rectangle Area = l × w  |  Rectangle Perimeter = 2l + 2w  |  Triangle Area = ½ × b × h  |  Circle Area = π × r²  |  Circle Circumference = 2 × π × r   (Use π = 3.14)

1. 🟦 A rectangle has a length of 12 ft and a width of 7 ft. Find the area and perimeter.

Area = _____________ ft²     Perimeter = _____________ ft

2. 🔺 A triangle has a base of 10 inches and a height of 6 inches. What is the area?

Area = _____________ in²

3. ⭕ A circular pizza has a radius of 8 inches. Find the area and circumference.

Area = _____________ in²     Circumference = _____________ in

4. A soccer field is 100 yards long and 60 yards wide. How much fencing (perimeter) is needed to go around the entire field?

Answer = _____________ yards

5. Which has a greater area — a square with side 9 ft or a rectangle with length 11 ft and width 7 ft? Show your work!

Greater area: _____________

📦 Part 2: Volume & Surface Area

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

6. 📦 A box (rectangular prism) is 5 ft long, 4 ft wide, and 3 ft tall. Find the volume.

Volume = _____________ ft³

7. Using the same box from Question 6, find the surface area. (How much cardboard would you need to build it?)

Surface Area = _____________ ft²

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

Volume = _____________ in³

9. A gift box is 10 in × 8 in × 4 in. How many cubic inches of space are inside the box?

Volume = _____________ in³

🔢 Part 3: Algebraic Formulas & Challenge Problems

Formulas to use:   Distance = rate × time (d = rt)  |  Simple Interest = P × r × t  |  Temperature: °F = (°C × 9/5) + 32

10. 🚗 A car travels at 60 miles per hour for 3.5 hours. How far does it travel? Use d = r × t.

Distance = _____________ miles

11. 💰 You deposit $500 in a savings account with a simple interest rate of 4% per year for 3 years. How much interest do you earn? Use I = P × r × t.

Interest Earned = $_____________

12. 🌡️ It is 25°C in Mexico City. Use the formula °F = (°C × 9/5) + 32 to convert to Fahrenheit.

Temperature = _____________ °F

13. ⭐ Challenge! A swimming pool is 20 ft long, 10 ft wide, and 5 ft deep. Find both the volume of water it holds AND the surface area of the pool walls and floor. Show ALL your work!

Volume = _____________ ft³     Surface Area = _____________ ft²

14. 🤔 Reflection: Which formula was the most challenging for you today? Why?

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