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 the percentage of a part compared to a whole?

Back

To calculate the percentage of a part compared to a whole, 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 to find the total distance traveled when given speed and time?

Back

The formula to find total distance is: Distance = Speed × Time. For example, if a person hikes at 3 meters per second for 2 minutes, the distance is 3 m/s × 120 s = 360 meters.

Front

If Sophia hikes at 2.5 m/s and Max at 3 m/s, how do you find their combined speed?

Back

To find their combined speed, add their individual speeds together. Combined speed = 2.5 m/s + 3 m/s = 5.5 m/s.

Front

How do you convert minutes to seconds?

Back

To convert minutes to seconds, multiply the number of minutes by 60. For example, 4.55 minutes is 4.55 × 60 = 273 seconds.

Front

What is the relationship between distance, speed, and time?

Back

The relationship is expressed by the formula: Distance = Speed × Time. This means that if you know any two of these values, you can find the third.

Front

How do you find the total distance if you know the percentage of the distance traveled?

Back

To find the total distance when you know the percentage traveled, divide the distance traveled by the percentage (in decimal form). For example, if 35 miles is 70% of the trip, total distance = 35 miles / 0.7 = 50 miles.

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. For example, 40% means 40 out of 100.

Front

How do you find the distance apart after a certain time when moving in opposite directions?

Back

To find the distance apart after a certain time, calculate the distance each person travels and then add those distances together. For example, after 2 minutes, Sophia travels 2.5 m/s × 120 s = 300 meters, and Max travels 3 m/s × 120 s = 360 meters. Total distance apart = 300 + 360 = 660 meters.

Front

What is the formula to calculate the percentage of a part?

Back

The formula to calculate the percentage of a part is: Percentage = (Part / Whole) × 100. For example, if there are 6 apples in a bowl of 15 fruits, the percentage of apples is (6/15) × 100 = 40%.