ACT Math Questions

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height

Front

Define 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

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

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 a permutation and a combination?

Back

Permutation: arrangement of items where order matters. Combination: selection of items where order does not matter.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.

Front

Define a rational number.

Back

A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, where p is the numerator and q is the denominator.

Front

What is the formula for the circumference of a circle?

Back

Circumference = 2πr, where r is the radius.

Front

What is the difference between independent and dependent variables?

Back

Independent variable: the variable that is changed or controlled in an experiment. Dependent variable: the variable that is measured or tested.

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.