7th grade Math Review

Front

What is a proportional relationship in mathematics?

Back

A proportional relationship is one in which two quantities maintain a constant ratio or rate. If one quantity increases, the other quantity increases at the same rate.

Front

How do you calculate the diameter of a circle if you know the circumference?

Back

To find the diameter of a circle, use the formula: Diameter = Circumference / π. For example, if the circumference is 21.98 cm, the diameter is 21.98 / 3.14 = 7 cm.

Front

If a bottle is 7/8 full and then becomes 2/3 full after some liquid is consumed, how do you find the amount consumed?

Back

First, find the initial volume (7/8 of 2 liters) and the final volume (2/3 of 2 liters). Subtract the final volume from the initial volume to find the amount consumed.

Front

What is the square root of 256?

Back

The square root of 256 is 16.

Front

How do you predict the number of times a specific color marble will be drawn from a bag?

Back

To predict the number of times a specific color marble will be drawn, calculate the probability of drawing that color and multiply it by the total number of draws. For example, for green and black marbles, add their probabilities and multiply by 100.

Front

What is the formula for the circumference of a circle?

Back

The formula for the circumference of a circle is C = π × Diameter.

Front

What does it mean for a relationship to be non-proportional?

Back

A non-proportional relationship means that the ratio between two quantities is not constant; as one quantity changes, the other does not change at a consistent rate.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator.

Front

What is the probability of drawing a red marble from a bag containing 5 red, 6 blue, 3 green, 4 black, and 2 yellow marbles?

Back

The probability of drawing a red marble is the number of red marbles divided by the total number of marbles: P(red) = 5 / (5 + 6 + 3 + 4 + 2) = 5 / 20 = 1/4.

Front

What is the relationship between the diameter and radius of a circle?

Back

The radius of a circle is half of the diameter. The formula is: Radius = Diameter / 2.