Grade 6 | Unit 3: Unit Rates and Percentages | End-of-Unit Assessment (A)

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you calculate a percentage?

Back

To calculate a percentage, divide the part by the whole and then multiply by 100. For example, if there are 6 apples out of 15 pieces of fruit, the percentage of apples is (6/15) * 100 = 40%.

Front

What is the formula for finding the total amount when given a percentage?

Back

The formula is: Total Amount = (Part / Percentage) * 100. For example, if 70% of a trip is 35 miles, the total trip distance is (35 / 70) * 100 = 50 miles.

Front

What does it mean to find a percentage of a number?

Back

Finding a percentage of a number means calculating how much that percentage represents in terms of the number. For example, to find 20% of 50, you calculate (20/100) * 50 = 10.

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and then multiply by 100. For example, 3/4 = (3 ÷ 4) * 100 = 75%.

Front

What is the relationship between percentages, fractions, and decimals?

Back

Percentages, fractions, and decimals are different ways to represent the same value. For example, 50% = 0.5 = 1/2.

Front

How do you find the time it takes for two objects moving towards each other to meet?

Back

To find the time it takes for two objects to meet, add their speeds together and divide the distance by that sum. For example, if Elena runs at 5 mph and Jada walks at 3 mph, their combined speed is 8 mph.

Front

What is the total distance traveled if two people meet after a certain time?

Back

The total distance traveled is the sum of the distances each person covers. For example, if Elena runs for 1.5 hours at 5 mph, she travels 7.5 miles, and if Jada walks for 1.5 hours at 3 mph, she travels 4.5 miles, totaling 12 miles.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if 1/2 = 2/4, then these two ratios are in proportion.

Front

How do you solve for an unknown in a percentage problem?

Back

To solve for an unknown in a percentage problem, set up an equation based on the percentage formula and solve for the unknown. For example, if 30% of x is 15, then 0.3x = 15, so x = 50.