Define mean in statistics.
The average of a set of numbers, calculated by dividing the sum by the count.
What is the Pythagorean theorem?
In a right triangle, a² + b² = c², where c is the hypotenuse.
True or false: A rectangle has four equal sides.
FALSE
A rectangle has opposite sides equal, not all sides.
Fill in the blank: The area of a triangle is ______.
1/2 × base × height
What is the formula for the circumference of a circle?
C = 2πr, where r is the radius.
Define prime number.
A natural number greater than 1 that has no positive divisors other than 1 and itself.
What does mode represent in a data set?
The value that appears most frequently.
True or false: A square is a type of rectangle.
TRUE
All squares are rectangles, but not all rectangles are squares.
Fill in the blank: The slope of a line is calculated as ______.
(change in y) / (change in x)
What is a composite number?
A natural number greater than 1 that is not prime; it has divisors other than 1 and itself.
Define percentage.
A fraction expressed as a part of 100.
What is the quadratic formula?
x = (-b ± √(b² - 4ac)) / (2a) for ax² + bx + c = 0.
True or false: A triangle can have two right angles.
FALSE
A triangle can only have one right angle.
Fill in the blank: The median is the ______ of a data set.
middle value when ordered.
What is the volume of a cube?
V = side³, where side is the length of one edge.
Define ratio.
A comparison of two quantities, expressed as a fraction or with a colon.
What is probability?
The measure of the likelihood that an event will occur.
True or false: An isosceles triangle has at least two equal sides.
TRUE
An isosceles triangle has two sides of equal length.
Fill in the blank: The hypotenuse is the ______ side of a right triangle.
longest
What does distributive property state?
a(b + c) = ab + ac, distributing a across the sum.
Define integer.
A whole number that can be positive, negative, or zero.
What is the greatest common divisor (GCD)?
The largest positive integer that divides two or more integers without a remainder.
True or false: A circle has a constant diameter.
TRUE
The diameter remains the same regardless of the circle’s size.
Fill in the blank: The x-axis is the ______ axis in a Cartesian plane.
horizontal
