ACT Math Prep

Front

What is the formula for the volume of a right circular cone?

Back

V = (1/3)πr²h, where r is the radius and h is the height.

Front

How do you calculate the radius of a cone if you know its volume and height?

Back

Rearrange the volume formula: r = sqrt((3V)/(πh)).

Front

What is the relationship between the length and width of a box if the length is 3 inches less than twice the width?

Back

l = 2w - 3, where l is the length and w is the width.

Front

How do you calculate a percentage increase in sales?

Back

New Sales = Current Sales + (Percentage Increase × Current Sales).

Front

If ticket sales are $350,000 and are predicted to increase by 60%, what will the new sales be?

Back

New Sales = $350,000 + (0.60 × $350,000) = $560,000.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

How do you find the distance between two points using the Pythagorean theorem?

Back

Distance = sqrt((x2 - x1)² + (y2 - y1)²).

Front

If a car averages 27 miles per gallon, how do you calculate the total gallons needed for a trip?

Back

Gallons Needed = Total Miles / Miles per Gallon.

Front

How do you calculate the cost of gas for a trip?

Back

Cost = Gallons Needed × Price per Gallon.

Front

What is the formula for converting miles to kilometers?

Back

Kilometers = Miles × 1.60934.