Relationships Between Quantities
Relationships Between Different Units of Measurements
Classwork
1. 36 meters is how many feet?
2. Your printer holds paper that is up to 28 cm long. The paper you have measures 12 inches. Will the paper
fit?
3. You just bought a water bottle that holds 24 ounces (fluid). You have 2.5 cups (fluid) of lemonade. Will all
the lemonade fit in the water bottle?
4. You have a poster that is 34 inches long your bulletin board space is 2.5 feet. Will the poster fit?
5. You bought 2 gallons of paint to cover your living room. The directions say it will take 35 cups to cover all
the walls. Will you be able to cover all the walls?
6. 25 miles per hour is how many feet per second?
7. You ran the mile run in gym class in 8 minutes. Your classmate ran 2200 yards in 8 minutes. Did you or
your classmate run 1 mile faster?
8. Steve is researching new cars to buy. He wants to buy the one that has the BEST gas mileage. Choice 1
gets 22 miles per gallon. Choice 2 gets 66 feet per liter. Choice 3 gets 85 yards per quart. Which choice
should Steve buy?
9. Carla works 32 hours per week (7 days). Justin works 7 hours per day. Who works more?
10. Ben’s coffee pot brews at a rate of 2.5 cups per minute. Jon’s brews at a rate of 5 ounces per second.
Which coffee pot brews faster?
Homework
11. 4 miles is how many feet?
12. Cindy’s bed needs sheets that are 96 inches exactly. The sheets in the store are 7.5 feet. Will they fit the
bed?
13. A recipe says to bring 5 cups (fluid) of water to a boil. You have a pot that holds 42 ounces. Can all the
water fit in the pot?
14. Bill’s feet are 32 cm long. The size 11 sneakers in the store are 13 inches long. Will his feet in them (it is
okay if they are big)?
15. You ran the half-mile in 3.5 minutes. You can only advance to the next part of the race if your time is less
than 200 seconds. Can you advance?
16. Convert 10 feet per second to yards per minute.
17. Jeff’s car is driving at 54 miles per hour. Jenna’s car is moving at 123 yards per minute. Who is driving
faster?
18. Riley and Jordan are both trying to drain the same size swimming pool. Riley’s is draining at a rate of 240
ounces per minute. Jordan’s is draining at a rate of 56 gallons per hour. Whose pool will be empty first?
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19. Tim’s Thanksgiving turkey cooks at a rate of 6 pounds per hour. Matt’s turkey cooks at a rate of 5 ounces
per minute. Whose turkey will be ready for dinner in the shortest amount of time?
20. Jill and Kim and both on a competitive swimming team. They swim in the same events. Jill swims at a rate
of 70 meters per minute. Kim can swim 2 feet per second. Who swims faster?
Picking The Appropriate Unit of Measure
Classwork
21. What is a good way to measure how much you work at your job?
22. What is a good way to measure the price of chicken breast at the grocery store?
23. Would centimeters per minute be a good way to measure your car’s speed on the highway? Explain.
24. What is an appropriate way to measure the cost of putting hardwood flooring in your bedroom?
25. You have a yardstick that has inches, feet, and yards on it. You need to measure your height. Which
measurement will be the most accurate?
26. Would feet per cup be an appropriate way to measure the gas mileage of a car? Explain.
27. What is a good way to measure the cooking rate of a turkey?
28. Would ounces per minute be an appropriate way to measure the rate of filling an Olympic sized swimming
pool?
29. What is the best way to measure how much time you spend completing homework each night?
30. Would dollars per hour be the best way to measure how much a person makes that works part time?
Explain.
Homework
31. What is a good way to measure the price of a salad bar?
32. What is a good way to measure the rate you can run the 200-meter dash?
33. Would dollars per millimeter be an appropriate way to measure the cost to put new flooring on a
basketball court? Explain.
34. Would ounces per minutes be an appropriate way to measure the rate of filling a 20 ounce water bottle?
Explain.
35. You can measure the length of your notebook with millimeter, centimeters, inches, or feet. Which will give
you the most accurate measurement?
36. What is the best way you could measure your heart rate?
37. Would dollars per gallon be a good way to measure whether or not to purchase new carpet for a living
room? Explain.
38. Would dollars per yard be a good way to measure the price for a carton of orange juice? Explain.
39. Do you think inches per hour is an appropriate way for a gym teacher to measure how much they walk?
Explain.
40. Would dollars per inch be the best way to measure the price of gasoline for your car? Explain.
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Choosing the Appropriate Level of Accuracy
Classwork
41. What is the best to time runners in the 100-meter dash; wristwatch, a wall clock, or digital stopwatch?
42. Which is the best way to price a birthday cake; $19.99, $19.992, $19.9921?
43. Would you use a ruler or a yardstick to measure the length of your pencil?
44. You are solving a word problem that asking you have many plates you need for all you dinner guests.
After solving you found you 15.3 plates to serve everyone. How many plates should you get?
45. Estimate the cost of 10 gallons of gas if it costs $2.499 per gallon.
46. Your locker is exactly 5 inches long. If 1 inch equals 2.54 centimeters, how many centimeters long is your
locker?
47. Estimate the cost of 20 liters of paint for your living room if the paint costs $7.989 per liter.
48. Which is the by best way to price a candy bar; $1.119, $1.20, $1.1011?
49. Which would you chose to measure the length of a football field; meters, kilometers, or miles?
50. What is the most sensible way to measure your weight? When could you want more accuracy and why?
Homework
51. What is the best way to price a salad bar; $2.99/pound, $2.993/pound, or $3.0125/pound?
52. Which do you think is used to time a bobsled race; digital stopwatch or a grandfather clock?
53. Would you use a teaspoon or a measuring cup to measure a small amount of salt for a recipe?
54. You have contestants competing in a bike race. You need to supply 27.2 bikes for every competitor to
have one to ride. How many bikes should you bring?
55. Find the cost to fill your car’s gas tank if the station sells it for $3.499 per gallon and you car holds 20
gallons.
56. Your flat screen TV measures exactly 26 inches on the diagonal. If 1 inch equals exactly 2.54
centimeters, how many centimeters is the diagonal of your TV?
57. A bowl of soup costs $4.99/ounce. Find the cost if you poured 5 ounces into a bowl.
58. Which is the best way to price a hoagie; $4.523, $4.50, $4.5001?
59. You’re hemming a new pair of dress pants. The length needs to be exactly right so the pants don’t drag or
show your socks. What should you use to measure; yardstick or the centimeter side of a ruler?
60. What is the most sensible way to measure the amount of water in an Olympic sized pool? When could
you want more accuracy and why?
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Unit Review
Multiple Choice- Choose the best selection for each problem.
1. 2040 yards is how many miles?
a. 34 miles
b. .4 miles
c.
1.2 miles
d. 3,590,400 miles
2. The top shelf of your fridge is 18 inches tall. A gallon of milk is 47 centimeters tall. Will the gallon of milk fit
on the top shelf?
a. Yes, it will fit.
b. No, it will not fit.
3. You ran the mile in 8 minutes in gym class. You must change you time to feet per second to be able to
submit to your gym teacher. What will you time be?
a. 3.7 feet/sec
b. 11 feet/sec
c.
.27 feet/sec
d. .1 feet/sec
4. Your friend runs at a rate of 15 feet/sec. You run at a rate of 1 mile per 7 minutes. Who runs faster?
a. You run faster
b. Your friend runs faster
5. Which is the best way to measure your purchase at a salad bar?
a. Dollars/foot
b. Dollars/inch
c.
Dollars/pound
6. Which should you use to measure the height of your living room?
a. Inches
b. Miles
c.
Kilometers
7. Which is the best way to price a tee shirt?
a. $17.3
b. $17.90
c.
$17.887
d. $17.366
8. Find the price to fill a 10-gallon tank is the gas costs $2.499 per gallon.
a. $249.99
b. $24.99
c.
$2.49
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Short Constructed Response- Write the correct answer for each question.
9. 746 feet is how many inches? ___________________
10. Convert 32 ounces/minute into cups per hour. ________________
11. Jessica’s stove boils water at a rate of 18-ounces/ minute. Tyler’s stove boils at a rate of 2 cups/
minutes. Whose stove boils faster? ___________________
12. Which unit of measure should you use to get the most accurate measure for the amount of water in a
small pot on a stove? Gallons, quarts, liters, or cups? ________________
13. You need 26.4 pencils for EVERY student to receive one. How many pencils should you bring?
______________
14. Which is the best way to price the lunch you buy a school? $2.53, $4.3, or $4.004? _____________
Extended Constructed Response- Solve the problem, showing all work.
15. These are the nutrition facts for wheat bread and white bread.
a. Find the unit rate of calories per ounce of each type of
bread.
b. Find the unit rate of fat per ounce for each type of bread.
c. Find the unit rate of protein per ounce for each type of
bread.
d. Your doctor wants you to eat the type of bread that has a
lower calorie per ounce rate. Which one should you eat?
e. Your sister wants to eat bread that is high in protein per
ounce and low in fat per ounce. Which would be the best
choice for her and why?
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White Bread
Serving Size
2 oz
Calories
150
Fat
5 grams
Protein
4 grams
Wheat Bread
Serving Size
3 oz
Calories
210
Fat
3 grams
Protein
12 grams
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Relationships Between Quantities
Answer Key
1. 118.08 feet
33. No, the court is a lot bigger than
2. No
millimeters
3. Yes
34. Yes, because the water bottle is measured
4. No
in ounces
5. No
35. Millimeter
6. 36.7 feet/s
36. Beats per minute
7. Classmate runs faster
37. No, you can’t measure carpet with gallons.
8. Choice 1 has the best gas mileage
You need to use a linear measurement.
9. Justin works more
38. No, should be a liquid measurement
10. Jon’s coffee pot
39. No, they walk a lot more than inches
11. 21120 feet
40. No, you drive farther than inches
12. No
41. Digital stopwatch
13. Yes
42. $19.99
14. Yes
43. Ruler
15. No
44. 16 plates
16. 20 yards/min
45. $24.99
17. Jeff’s car
46. 12.7 cm
18. Riley’s drains faster
47. $159.78
19. Matt’s will cook faster
48. $1.20
20. Jill swims faster
49. Meters
21. Hours/week
50. Pounds, if there is a certain weight
22. Dollars/pound
restriction that is measured in ounces
23. No, you drive distances extremely larger
than centimeters
51. $2.99/pound
52. Digital stopwatch
24. Dollars/foot
53. Teaspoon
25. Inches, because it is the most exact
54. 28 bikes
26. No, you use a lot more than cups and
55. $69.98
travel farther than feet
56. 66.04 cm
27. Minutes/pound
57. $24.95
28. No, you can use something larger like
58. $4.50
gallons because the pool is very large
59. Centimeter side of ruler
29. Hours/night
60. Gallons, if you are adding chemicals and
30. Yes, because they don’t get a salary so
they’re likely paid in dollars/hour
the chemicals tell you how much you need
for each ounce.
31. Dollars/lb
Review
32. Meters/sec
1. C
2. B
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3. B
4. B
5. C
6. A
7. B
8. B
9. 8952 inches
10. 240 cups/hour
11. Jessica
12. Cups
13. 27
14. $2.53
15. A. White: 75 cal/oz, Wheat: 70 cal/oz
B. White: 2.5g/oz, Wheat: 1 g/oz
C. White: 2 g/oz, Wheat: 4 g/oz
D. Wheat
E. Wheat, the unit rate of fat/oz is lower for
wheat and the unit rate of protein/oz is
higher for wheat too.
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