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Questions and Answers
What is the formula for circumference?
What is the area of a circle formula?
What is the longest side of a right triangle called?
hypotenuse
What is the Pythagorean Theorem?
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What is the formula for the perimeter of a square?
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What is the formula for the perimeter of a rectangle?
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What is the area of a triangle formula?
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What does 'SA' represent in surface area formulas?
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What is the formula for the volume of a cylinder?
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What is the formula for calculating mean?
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What is the median?
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How is the range calculated?
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What is the symbol for squared?
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What is the formula for simple interest?
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Study Notes
Geometric Formulas
- Circumference of a circle: C = πd
- Area of a circle: A = πr²
- Hypotenuse: Longest side of a right triangle
- Pythagorean Theorem: a² + b² = c²
- Perimeter of a square: P = 4s
- Perimeter of a rectangle: P = 2l + 2w
- Perimeter of a triangle: P = a + b + c
- Area of a square: A = s²
- Area of a rectangle: A = lw
- Area of a parallelogram: A = bw
- Area of a triangle: A = ½bh
- Area of a trapezoid: A = ½h(b₁ + b₂)
Surface Area Formulas
- Surface area of a rectangular/right prism: SA = ph + 2B
- Surface area of a cylinder: SA = 2πrh + 2πr²
- Surface area of a pyramid: SA = ½ps + B
- Surface area of a cone: SA = πrs + πr²
- Surface area of a sphere: SA = 4πr²
Volume Formulas
- Volume of a rectangular/right prism: V = Bh
- Volume of a cylinder: V = πr²h
- Volume of a pyramid: V = ⅓Bh
- Volume of a cone: V = ⅓πr²h
- Volume of a sphere: V = ⅔πr³
Financial and Statistical Concepts
- Simple interest formula: I = Prt
- Distance formula: d = rt (where r = rate, t = time)
- Total cost calculation: Total Cost = (number of units) x (price per unit)
- Mean (average): Total of values divided by the number of values
- Median: Middle value in a sorted data set or average of two middle values
- Mode: Most frequently occurring number in a data set
- Range: Difference between the largest and smallest numbers
Calculating Statistical Values
- Calculating Mean: Sum all numbers and divide by count
- Calculating Mode: List numbers in order and identify the most frequent
- Calculating Median: Sort numbers, find middle value, and average two middle values if applicable
- Calculating Range: Subtract smallest number from largest
Specific Examples
- Range of the numbers 2, 4, 6, 8, 12, 16 is 14
- Mode of the numbers 7, 12, 1, 5, 7, 8 is 7
- Median of the numbers 7, 12, 1, 5, 7, 8 is 7.5
- Mean of the numbers 5, 8, 17, 20, 0 is 10
Linear Equations
- Slope of a line: Change in y / Change in x
- Slope-intercept form: y = mx + b (m is slope, b is y-intercept)
- Point-slope form: y - y₁ = m(x - x₁)
- Standard form of an equation: y = ax² + bx + c
- Quadratic formula utilized for solving quadratic equations (not provided in the initial text)
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Description
This quiz features essential math formulas for the GED, including key concepts like circumference, area of a circle, and the Pythagorean Theorem. Each flashcard provides a visual representation along with definitions to aid learning. Perfect for those preparing for the GED math section.
