8th Category 1 Math

Front

What is the formula for the area of a rectangle?

Back

Area = length × width

Front

Define a prime number.

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. (a² + b² = c²)

Front

How do you calculate the mean of a set of numbers?

Back

Mean = (Sum of all values) / (Number of values)

Front

What is the difference between mean, median, and mode?

Back

Mean is the average, median is the middle value when ordered, and mode is the most frequently occurring value.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division.

Front

Define a variable in mathematics.

Back

A variable is a symbol used to represent an unknown value in mathematical expressions or equations.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.

Front

How do you solve for x in the equation 2x + 3 = 11?

Back

Subtract 3 from both sides: 2x = 8. Then divide by 2: x = 4.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers and variables without an equality sign, while an equation states that two expressions are equal.