Definitions
Category 2
Category 3
Category 4
Category 5
100
This symbol stands for "per" when talking about rates.
What is a /?
100
A factory produces 300 video game discs in 15 minutes. How many video game discs can it produce in 1 minute?
20 video game discs
100
A machine can stamp 36 bottle caps in 10 seconds. At this rate, how many will it stamp in 50 seconds?
180 bottle caps
100
A vehicle traveled at a speed of 54 km/hr for 3 hours. Find the distance traveled.
162 km
100
Express 144m/ 12 seconds as a unit rate.
12 m/s
200
Compares a quantity to one unit of a different quantity.
What is a unit rate?
200
A printer can print 25 pages per minute. At this rate, how long will it take to print 2,000 pages?
80 minutes
200
Plan A - Up to 10 hours is $6/hr - Every subsequent 1/2 hour or part of 1/2 hour is $1 Plan B - Up to 12 hours is $4/hr - Every subsequent 1/2 hour or part of 1/2 hour is $2 Nicholas used the Internet Service for 16 hours and 40 minutes last month. Under which plan would he have to pay less?
Plan A
200
A pigeon can fly at a speed of 84 km/hr. How long does it take the pigeon to fly 7 km?
1/12 hour
200
Express $60/5 hrs as a unit rate.
$12/hr
300
This is the formula for finding "speed."
What is distance/time?
300
An empty bathtub is filled with water at a rate of 2.5 liters per minute. How long will it take to fill the bathtub with 30 liters of water?
12 minutes
300
Plan A - Up to 10 hours is $6/hr - Every subsequent 1/2 hour or part of 1/2 hour is $1 Plan B - Up to 12 hours is $4/hr - Every subsequent 1/2 hour or part of 1/2 hour is $2 Nicholas used the Internet Service for 16 hours and 40 minutes last month. How much less would he have to pay for the better service?
$4
300
The distance between Town A and Town B is 45 kilometers. If a train takes 40 minutes to travel from Town A to Town B, what is its speed in km/minute? Round your answer to 1 decimal place.
1.1 km/min
300
Karen walks home from school at a speed of 5 km/hour. She takes 12 minutes to reach home. What is the distance between her school and home? (Hint: convert minutes to hours)
1 kilometer
400
The formula for average speed.
What is total distance traveled / total time?
400
2/3 cup of oatmeal is needed to make 10 granola bars. How many such granola bars can be made with 20 cups of oatmeal?
300 granola bars
400
Ashley took 3 minutes to run a distance of 540 meters from point Z to point Y. Grace took 2 minutes to run a distance of 480 meters from point Z to Y. Which girl ran faster? What was her speed?
Grace. 240 m/min
400
At 7:30 a.m., a bus left town P for Town Q at a speed of 60 km/hr. 15 minutes later, a car left Town Q and headed for Town P. The car reached Town P at 10:45 a.m. The bus reached Town Q at noon. What is the distance between Town P and Town Q?
270 km
400
Post A and Post B are 120 meters apart. Post B and Post C are 300 meters apart. Ben cycled from Post A to Post B in 15 seconds. Then he cycled from Post B to Post C in 55 seconds. Find Ben's average speed for the distance from Post A to Post C.
6 meters per second
500
What is the difference between rates and ratios?
Rates compare two different units, while ratios compare two terms with the same (or compatible) units.
500
150 grams of fertilizer is required for a land area of 6 square meters. At this rate, how many grams of fertilizer are required for a land area of 13 square meters?
325 grams
500
The distance between Town A and Town B is 45 kilometers. If a train travels at a speed of 60 km/hr, how long will it take to travel from Town A to Town B?
3/4 hour
500
At 7:30 a.m., a bus left town P for Town Q at a speed of 60 km/hr. 15 minutes later, a car left Town Q and headed for Town P. The car reached Town P at 10:45 a.m. The bus reached Town Q at noon. What was the speed of the car?
90 km/hr
500
Mr. Alan drove 2 1/5 hours at a speed of 70 kilometers per hour. He then drove another 224 km. He took 5 hours for the whole journey. What was Mr. Alan's average speed for the whole journey?
75.6 km/hr