ACT Math Test

Front

What is the formula for the tangent of an angle in a right triangle?

Back

tan(θ) = opposite/adjacent

Front

If the radius of a cone is 5 inches and the height is 7 inches, what is the equation to find the angle θ formed by the slant height and the radius?

Back

tan θ = 7/5

Front

What is the area of a rectangle if the length is 10 feet and the width is 14 feet?

Back

Area = length × width = 10 × 14 = 140 square feet

Front

How do you convert a distance on a map to actual distance?

Back

Use the scale of the map. For example, if 1/2 inch = 18 miles, then 2.5 inches = (2.5 / 0.5) × 18 = 90 miles.

Front

What is the formula for the area of a trapezoid?

Back

Area = (1/2) × (Base1 + Base2) × Height

Front

If two trapezoids have equal areas, what can be said about their bases and heights?

Back

The product of the bases and height must be equal for both trapezoids.

Front

What is the relationship between angles in a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

If angle BAC is (x + 20)° and angle BAD is 90°, what is the measure of angle CAD?

Back

Angle CAD = 70 - x°.

Front

What is the definition of a right circular cone?

Back

A three-dimensional geometric shape with a circular base and a single vertex (apex) that is not in the plane of the base.

Front

How do you find the height of a cone using the radius and slant height?

Back

Use the Pythagorean theorem: height = √(slant height² - radius²).