Unit Rates
Constant Speed/Pace
Unit Conversions
Find a number that's a given percentage of another number
(Whole)
(Whole)
Percentage Given Two Numbers (%)
100
What is a unit rate?
Unit rate is a ratio with a quantity of 1.
100
What is the difference between speed and pace?
Speed = Distance/ Time
Pace = Time/ Distance
100
Name 3 units of measurement the US uses that other countries do not.
Miles, gallons, feet, inches, pounds, and ounces.
100
What is the definition of a percentage?
A rate per each 100.
100
5 is what percentage of 10?
50%
200
Sydney read 50 pages in 40 minutes. She reads at a constant rate.
How many pages can Sydney read per minute?
She reads 1.25 pages per minute.
200
Select all of the trips that would take 1 hour.
Drive 30 miles per hour between Denver and Colorado Springs, which are 60 miles apart.
Walk 2 miles per hour to school, which is 4 miles away.
Take a train going 80 miles per 1/2 hour from Cheyenne, Wyoming to Denver Colorado, which are 160 miles apart.
A and C
200
Tyler has a baseball bat that weighs 28 ounces. Find this weight in kilograms and in grams.
(Note: 1 kilogram = 35 ounces)
0.8 kilograms and 800 grams
200
12 is 60% of what number?
20
200
162 is what percentage of 200.
81%
300
The following table shows how many multiplication problems 4 students were able to solve in different amounts of time. For example, Murray solved 58 problems in 2 minutes. 
Logan solved problems at a rate of 28 per minute.
300
A kangaroo hops 2 kilometers in 3 minutes. At this rate:
How long does it take the kangaroo to travel 5 kilometers?
How far does the kangaroo travel in 2 minutes?
7.5 minutes (or equivalent)
4/3 kilometers (or equivalent)
300
Convert 500 pounds to kilograms.
Note: 1 pound is about 0.45 kilograms.
226.8 kg
300
If a can of mackerel is 64% full and weighs 80 grams, what was the original number of grams of mackerel in the can?
125 grams
300
192 is what percentage of 600?
32%
400
The following table shows the speeds at which Jeff does 4 activities. For example, biking has a rate of 19 miles in 2 hours.
Place the activities in order from fastest speed to slowest speed. (Must include the unit rate for each activity to receive points).
Biking = 9.5 mph
Running = 5mph
Swimming = 4.5 mph
Walking = 3.5 mph
400
Mai runs around a 400-meter track at a constant speed of 250 meters per minute. How many minutes does it take Mai to complete 4 laps of the track?
32/5 or 6.4 minutes
400
If 1 pound = 16 ounces, how many pounds are in 432 ounces
27 pounds in 432 ounces.
400
Evan has completed 65% of his homework. He finished 13 problems how many more does he have left to complete?
Evan has 20 problems left.
400
Sylvia got 9.5 points out of 13 possible points on her test. What percentage did she get correct?
73.07%
500
Mark can make 42 birthday cakes in 7 days.
How many birthday cakes can Mark make in 5 days?
In 5 days Mark can make 30 cakes.
500
At 10:00 a.m., Han and Tyler both started running toward each other from opposite ends of a 10-mile path along a river. Han runs at a pace of 12 minutes per mile. Tyler runs at a pace of 15 minutes per mile.
How far does Han run after a half hour? After an hour?
Do Han and Tyler meet on the path within 1 hour?
a. Han runs 2 1/2 miles in a half hour and 5 miles in an hour.
b. No. Tyler travels 1 mile every 15 minutes, so he travels 4 miles in 60 minutes. Because Han travels 5 miles and Tyler travels 4 miles, and they are 10 miles apart, they are one mile apart after 1 hour.
500
A student averaged 45 miles per hour on a trip. What was the student’s speed in feet per second?
66 ft/s
500
A shirt is on sale for 30% off. If the sale price is $21, what was the original price?
The original price is $30.
500
There are 18 boys in our class and 9 girls. What percentage of the class are boys?
66.6% of the class are boys.