Mathematical Formulas Worksheet
This worksheet covers various mathematical formulas, including area, perimeter, volume, and quadratic formula, suitable for Grade 10 students.
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Topics
Mathematical Formulas
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. What is the formula for the area of a circle with radius 'r'?
A = 2πr
A = πr²
A = πd
A = r²
2. Which of the following is the quadratic formula?
x = -b ± √(b² - 4ac) / 2a
x = b ± √(b² - 4ac) / 2a
x = -b ± √(b² + 4ac) / 2a
x = -b ± √(4ac - b²) / 2a
1. The formula for the perimeter of a rectangle with length 'l' and width 'w' is P = .
2. The volume of a cylinder with radius 'r' and height 'h' is V = .
1. A square has a side length of 7 cm. Using the appropriate formula, calculate its area and perimeter.
2. The area of a triangle is given by the formula A = (1/2)bh. If a triangle has a base of 10 units and a height of 8 units, what is its area?
1. The formula for the circumference of a circle is C = πd, where 'd' is the diameter.
True
False
2. The Pythagorean theorem, a² + b² = c², can be used for any type of triangle.
True
False
Match each formula to its corresponding geometric shape or concept.
1. V = lwh
a. Area of a Trapezoid
2. A = (1/2)h(b1 + b2)
b. Volume of a Rectangular Prism
3. A = s²
c. Area of a Square
4. V = (4/3)πr³
d. Volume of a Sphere