Grade 9 Mathematical Formulas Worksheet
A worksheet for Grade 9 students covering essential mathematical formulas including area, perimeter, volume, and basic algebra.
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Grade 9 Mathematical Formulas
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Read each question carefully and use the appropriate mathematical formulas to solve them. Show all your work for full credit.
1. The formula for the area of a rectangle is A = .
2. The perimeter of a square with side length 's' is P = .
3. The volume of a cube with side length 's' is V = .
4. Which of the following is the correct formula for the circumference of a circle with radius 'r'?
C = r²
C = πr
C = 2πr
C = 2r
5. What is the formula for calculating the area of a triangle with base 'b' and height 'h'?
A = bh
A = 2bh
A = 1/2 bh
A = b + h
6. A rectangular garden has a length of 15 meters and a width of 8 meters. Calculate the perimeter of the garden. Show your formula and work.
7. A cylindrical water tank has a radius of 2 meters and a height of 5 meters. Using the formula V = πr²h, calculate the volume of the tank. Use π ≈ 3.14. Show your formula and work.
8. Look at the cube shown. If the side length is 4 cm, calculate its volume and surface area. Show your formulas and work.
9. The formula for the area of a circle is A = 2πr.
True
False
10. The Pythagorean theorem states that a² + b² = c² for a right-angled triangle.
True
False
Match each formula on the left with its corresponding geometric shape on the right.
11. P = 4s
a. Circle
12. A = lw
b. Square
13. V = lwh
c. Rectangle
14. A = πr²
d. Rectangular Prism