Math Counts Warm-Up #5-6 2017-2018

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius.

Front

What is the formula for the surface area of a sphere?

Back

A = 4πr², where r is the radius.

Front

If the volume of a sphere is three times its surface area, what equation can be set up?

Back

(4/3)πr³ = 3(4πr²).

Front

How do you find the radius of a sphere given its volume and surface area relationship?

Back

Solve the equation (4/3)πr³ = 12πr² for r.

Front

What is a common fraction?

Back

A fraction where both the numerator and denominator are integers.

Front

How do you divide a quantity among multiple heirs?

Back

Divide the total quantity by the number of heirs.

Front

What is the process to find the portion of proceeds from a sale?

Back

Calculate each heir's share and then determine their portion of the total proceeds.

Front

What is a layered candle?

Back

A candle made with different colored layers stacked on top of each other.

Front

How do you calculate the number of arrangements with restrictions?

Back

Use combinatorial methods considering the restrictions.

Front

What is a quadratic polynomial?

Back

A polynomial of the form p(x) = ax² + bx + c, where a, b, and c are constants.