math Flashcards
What is the formula for the area of a rectangle?
Length × Width
True or False: The sum of the angles in a triangle is always 180 degrees.
True
Fill in the blank: The Pythagorean theorem states that in a right triangle, a² + b² = ____.
c²
What is the slope of a line that rises 3 units for every 4 units it runs?
3/4
What is the value of x in the equation 2x + 5 = 15?
5
What is the quadratic formula?
x = (-b ± √(b² - 4ac)) / 2a
True or False: A prime number has exactly two distinct positive divisors.
True
What is the mean of the numbers 4, 8, and 10?
7.33
Multiple choice: Which of the following is a rational number? A) √2 B) 1/2 C) π
B) 1/2
What is the circumference of a circle with a diameter of 10 units?
31.42 units
Fill in the blank: The formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the ____.
height
What is the probability of flipping a coin and it landing on heads?
1/2
True or False: A function can have multiple outputs for the same input.
False
What are the roots of the equation x² - 5x + 6 = 0?
x = 2 and x = 3
What is the greatest common divisor (GCD) of 8 and 12?
4
Multiple choice: Which of the following is an example of an irrational number? A) 3.14 B) 1/3 C) √3
C) √3
What is the standard form of the equation of a line?
Ax + By = C
Fill in the blank: The median of the set {3, 1, 4, 2, 5} is ____.
3
What is the distance formula in a coordinate plane?
d = √((x₂ - x₁)² + (y₂ - y₁)²)
True or False: The sum of the interior angles of a polygon with n sides is (n-2) × 180 degrees.
True
What is the factorial of 5 (5!)?
120
What is the equation of a horizontal line?
y = k (where k is a constant)
Fill in the blank: The mode of the set {2, 3, 4, 4, 5} is ____.
4
What is the complementary angle of 30 degrees?
60 degrees
Multiple choice: Which graph represents a linear function? A) A parabola B) A straight line C) A circle
B) A straight line
What is the relationship between the sides of a 30-60-90 triangle?
1 : √3 : 2
