SHSAT Questions on Percentages and Proportional Relationships

Front

What is a percentage?

Back

A percentage is a way of expressing a number as a fraction of 100. It is often used to compare proportions.

Front

How do you calculate the percentage of a part compared to a whole?

Back

To calculate the percentage, divide the part by the whole and then multiply by 100. Formula: (Part/Whole) x 100.

Front

What does it mean if 40% of a class takes the bus?

Back

It means that out of every 100 students, 40 students take the bus to school.

Front

If 12 out of 30 cars finished a race, how do you find the percentage of cars that finished?

Back

Divide 12 by 30 to get 0.4, then multiply by 100 to get 40%.

Front

What is the formula to find the number of empty seats in a theater?

Back

Number of empty seats = Total seats - Sold seats.

Front

If a movie theater has 250 seats and 225 are sold, how many seats are empty?

Back

250 - 225 = 25 seats are empty.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve for a missing value in a proportion?

Back

Cross-multiply the known values and then solve for the unknown.

Front

If 40% of students in a class take the bus, how many do not take the bus if there are 50 students?

Back

60% do not take the bus. 50 students x 60% = 30 students do not take the bus.

Front

What is the relationship between percentages and fractions?

Back

Percentages can be converted to fractions by placing the percentage over 100 and simplifying.