Grade 12 Mathematical Formulas Worksheet
This worksheet covers essential mathematical formulas for Grade 12 students, including algebra, geometry, and calculus concepts.
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Grade 12 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. Which of the following is the correct formula for the distance between two points (x₁, y₁) and (x₂, y₂) in a Cartesian coordinate system?
d = √((x₂ - x₁)² + (y₂ - y₁))
d = (x₂ - x₁)² + (y₂ - y₁)²
d = √((x₂ - x₁)² + (y₂ - y₁)²)
d = (x₂ + x₁)² + (y₂ + y₁)²
2. The quadratic formula is used to solve equations of the form ax² + bx + c = 0. What is the correct 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 area of a circle with radius r is A = .
2. The formula for the volume of a sphere with radius r is V = .
3. In trigonometry, the Pythagorean identity states that sin²θ + cos²θ = .
1. State the formula for the nth term of an arithmetic sequence.
2. Explain when you would use the Law of Sines versus the Law of Cosines.
1. The formula for the perimeter of a rectangle with length L and width W is P = 2LW.
True
False
2. The formula for the derivative of xⁿ is nxⁿ⁻¹.
True
False
1. A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 4 cm. Calculate its volume.
2. Find the equation of a line that passes through the points (2, 5) and (6, 13).