Deck 5: Ratio, Proportion, and Measurement

Question 1

Write a fraction in simplified form that expresses the ratio of 0.27 to 0.36.

Answer 1

Question 2

Write the ratio as a fraction in simplest form.
70 to 160

A) $\frac { 7 } { 160 }$
B) $\frac { 16 } { 7 }$
C) $\frac { 70 } { 16 }$
D) $\frac { 70 } { 160 }$
E) $\frac { 7 } { 16 }$

Answer 2

$\frac { 7 } { 16 }$

Question 3

Write the ratio as a fraction in simplest form.
7 to 21

A) $\frac { 1 } { 3 }$
B) $3$
C) $\frac { 21 } { 3 }$
D) $\frac { 7 } { 3 }$
E) $\frac { 7 } { 21 }$

Answer 3

$\frac { 1 } { 3 }$

Question 4

Find the unit price.
120 barrels cost $5,520.

A) $46 per barrel
B) $45  per barrel
C) $44  per barrel
D) $47  per barrel
E) $48  per barrel

Question 5

Write the ratio as a fraction in simplest form.
0.08 to 0.64

Question 6

Write the phrase as a unit rate.
126 presents for 14 children.
__________ present(s) per child

Question 7

Write the ratio 12 feet to 21 yards as a fraction in simplest form. ( Hint: 3 feet = 1 yard.)

A) $\frac { 4 } { 21 }$
B) $\frac { 21 } { 4 }$
C) $21$
D) $\frac { 1 } { 4 }$
E) $4$

Question 8

Find the unit price.
For 7 dozen, you will pay $19.25.

A) $2.55 per dozen
B) $2.65  per dozen
C) $2.75  per dozen
D) $2.85  per dozen
E) $2.95  per dozen

Question 9

Write the following statement as a proportion.
16 is to 12 as 24 is to 18

A) $\frac { 24 } { 16 } = \frac { 12 } { 18 }$
B) $\frac { 16 } { 12 } = \frac { 18 } { 24 }$
C) $\frac { 16 } { 12 } = \frac { 24 } { 18 }$
D) $\frac { 16 } { 24 } = \frac { 18 } { 12 }$
E) $\frac { 16 } { 18 } = \frac { 12 } { 24 }$

Question 10

Write a fraction in simplified form that expresses the ratio of 0.05 to 0.1.

A) $\frac { 1 } { 20 }$
B) $\frac { 2 } { 2 }$
C) $\frac { 2 } { 3 }$
D) $\frac { 2 } { 1 }$
E) $\frac { 1 } { 2 }$

Question 11

Write the rate as a unit rate.
4,261,900 people living in 11,500  square

A) 370.6 people per square mi
B) 360.6  people per square mi
C) 350.6  people per square mi
D) 380.6  people per square mi
E) 390.6  people per square mi

Question 12

Find the unit price.
They charged $105 for 15 minutes.

A) 8  per min
B) 7  per min
C) 9  per min
D) 6  per min
E) 5  per min

Question 13

Write the rate as a unit rate.
330 presents for 55 children

A) 5 presents per child
B) 7  presents per child
C) 8  presents per child
D) 9  presents per child
E) 6  presents per child

Question 14

Write the following statement as a proportion.
5 is to 20 as 4 is to 16

A) $\frac { 4 } { 5 } = \frac { 20 } { 16 }$
B) $\frac { 5 } { 4 } = \frac { 16 } { 20 }$
C) $\frac { 5 } { 16 } = \frac { 4 } { 20 }$
D) $\frac { 5 } { 20 } = \frac { 4 } { 16 }$
E) $\frac { 5 } { 20 } = \frac { 16 } { 4 }$

Question 15

Write the ratio as a fraction in simplest form.
6 to 16

A) $\frac { 6 } { 8 }$
B) $\frac { 6 } { 16 }$
C) $\frac { 3 } { 16 }$
D) $\frac { 3 } { 8 }$
E) $\frac { 8 } { 3 }$

Question 16

Write the ratio as a fraction in simplest form. $0.85$  to $0.45$

A) $\frac { 9 } { 17 }$
B) $\frac { 17 } { 1 }$
C) $9$
D) $\frac { 45 } { 85 }$
E) $\frac { 17 } { 9 }$

Question 17

Write the ratio as a fraction in simplest form.
0.18 to 0.32

A) $\frac { 9 } { 16 }$
B) $\frac { 18 } { 32 }$
C) $\frac { 16 } { 9 }$
D) $\frac { 9 } { 32 }$
E) $\frac { 18 } { 16 }$

Question 18

Write the rate as a unit rate.
15 trips every 3 months

A) 5 trips per month
B) 3 trips per month
C) 15 trips per month
D) 6 trips per month
E) 4 trips per month

Question 19

Write the ratio as a fraction in simplest form.
5 inches to 10 inches

A) $\frac { 4 } { 2 }$
B) $\frac { 1 } { 2 }$
C) $2$
D) $\frac { 2 } { 5 }$
E) $\frac { 5 } { 2 }$

Question 20

Write the phrase as a unit rate.
5,590,000 people living in 13,000 square miles

A) 430 people per square mile
B) 43 people per square mile
C) 860 people per square mile
D) 1,290 people per square mile
E) 86 people per square mile

Question 21

Find the length of the pencil.

A) $3 \frac { 3 } { 16 }$  inches
B) 3 inches
C) $\frac { 3 } { 16 }$  inches
D) $3 \frac { 1 } { 2 }$  inches

Question 22

Express the weight of 2 pounds (about 0.25 gallons) of water in ounces.

A) 320 oz
B) 640 oz
C) 32 oz
D) 24 oz
E) none of the above

Question 23

Solve the proportion for the variable.

z = __________

Question 24

Convert 5 yards to feet.
__________ ft

Question 25

Solve the proportion for the variable. $\frac { x + 17 } { 5 } = \frac { 2 ( x - 1 ) } { 2 }$

A) $15$
B) $\frac { 11 } { 2 }$
C) $- \frac { 15 } { 2 }$
D) $\frac { 2 } { 13 }$
E) $- \frac { 13 } { 2 }$

Question 26

Convert 10,560 feet to miles.

A) 2.1
B) 2.4
C) 4
D) 2
E) 3.2

Question 27

Convert 50 cups to gallons.

A) 400
B) 3.125
C) 200
D) 12.5

Question 28

Convert 5.5 pints to fluid ounces.

A) 44
B) 11
C) 88
D) 5.5

Question 29

Use similar triangles to help solve the problem.
A tree casts a shadow of 24 feet at the same time as a 5-foot tall man casts a shadow of 4 feet. Find the height of the tree.

A) $h = 27$  ft
B) $h = 42$ ft
C) $h = 30$  ft
D) $h = 35$  ft
E) $h = 22$  ft

Question 30

Convert 36 inches to feet.

A) 9
B) 3
C) 1.5
D) 4.5
E) 216

Question 31

Solve the proportion for the variable. $\frac { z + 4 } { z + 10 } = \frac { z - 8 } { z - 4 }$

A) 30
B) 32
C) 31
D) 35
E) no solution

Question 32

Convert 96 ounces to pounds.

A) 24
B) 36
C) 6
D) 12
E) 72

Question 33

Convert 4,000 pounds to tons.
__________ tons

Question 34

Tell whether the statement > is a proportion.

Question 35

Determine whether the statement is a proportion. Answer yes or no.

Question 36

Convert 2 pints to quarts.

A) 4
B) 1
C) 8
D) 2

Question 37

Use similar triangles to help solve the problem.
An airplane ascends 160 feet as it flies a horizontal distance of 1,000 feet. How much altitude will it gain as it flies a horizontal distance of 1 mile? ( Hint: 5,280 feet = 1 mile.) Round your answer to the nearest integer.

A) $x = 870$  ft
B) $x = 813$ ft
C) $x = 845$  ft
D) $x = 885$  ft
E) $x = 833$  ft

Question 38

Which of the statements are proportions?

A) $\frac { 100.8 } { 192 } = \frac { 234.2 } { 408 }$
B) $\frac { 10.08 } { 19.2 } = \frac { 21.42 } { 40.8 }$
C) $\frac { 92 } { 10 } = \frac { 63 } { 7 }$
D) $\frac { 12.08 } { 19.2 } = \frac { 21.42 } { 40.8 }$
E) $\frac { 90 } { 10 } = \frac { 63 } { 7 }$

Question 39

Write the statement as a proportion.
99 people is to 90 chairs as 11 people is to 10 chairs

A) $\frac { 11 } { 99 } = \frac { 90 } { 10 }$
B) $\frac { 99 } { 90 } = \frac { 10 } { 11 }$
C) $\frac { 99 } { 90 } = \frac { 11 } { 10 }$
D) $\frac { 99 } { 11 } = \frac { 10 } { 90 }$
E) $\frac { 99 } { 10 } = \frac { 90 } { 11 }$

Question 40

A school board has determined that there should be 3 teachers for every 60 students. How many teachers are needed for an enrollment of 3,300 students?

A) 140 teachers
B) 176 teachers
C) 165 teachers
D) 149 teachers
E) 108 teachers

Question 41

Some examples of American units of capacity are pints, cups, ______, and quarts.

A) grams
B) gallons
C) yards
D) liters

Question 42

Convert 3 m to centimeters.
__________ cm

Question 43

36 inches = 1 ____

A) foot
B) meter
C) mile
D) yard

Question 44

Some units of  time are seconds, ______, hours, and days.

A) minutes
B) foot
C) meter
D) cup

Question 45

Find the length.

A) 3 inches
B) 2  inches
C) 2.5  inches
D) 0.5  inches

Question 46

Find the length.

A) 1 inches
B) $1 \frac { 1 } { 4 }$ inches
C) $1 \frac { 1 } { 2 }$ inches
D) $\frac { 1 } { 4 }$ inches

Question 47

12 inches = 1 ____

A) foot
B) yard
C) mile
D) meter

Question 48

Convert 912 km to meters.
__________ m

Question 49

Convert 8 m to centimeters.
__________ cm

Question 50

2 pints = 1 ____

A) foot
B) cup
C) quart
D) gallon

Question 51

Convert 7 g to milligrams.
__________ mg

Question 52

Which metric unit should you use to measure the mass of a sack of flour?

A) $\mu g$
B) cg
C) g
D) kg
E) metric tons

Question 53

What mass is equal to 1 g?

A) 0.01 kg
B) 100 kg
C) 1,000  kg
D) 0.001 kg
E) 0.1 kg

Question 54

Convert 816 km to meters.
__________ m

Question 55

4 quarts = 1 ____

A) gallon
B) foot
C) pint
D) cup

Question 56

2,000 pounds = 1 ____

A) ounces
B) foot
C) ton
D) meter

Question 57

3 feet = 1 ____

A) yard
B) meter
C) mile
D) inches

Question 58

What mass is equal to 1 mg?

A) 0.001 $\mu g$
B) 1,000 $\mu g$
C) 10,000 $\mu g$
D) 10 $\mu g$
E) 100 $\mu g$

Question 59

1 ton = ____ ounces

A) 1,000
B) 32,000
C) 200
D) 3,000

Question 60

16 ounces = 1 ____

A) pound
B) ton
C) meter
D) liter

Question 61

A bottle of hydrochlorothiazine contains 50 tablets. If each tablet contains 40 milligrams of the active ingredient, how many grams of the active ingredient are in the bottle?
__________ g

Question 62

Convert 68 mL to cubic centimeters.
__________ cc

Question 63

100 meters = 1 ________

A) kilometer
B) dekameter
C) decimeter
D) hectometer

Question 64

Convert 39 mL to cubic centimeters.

A) 390 cc
B) 39,000 cc
C) 0.039 cc
D) 3.9 cc
E) 39 cc

Question 65

Blood pressure is measured by a sphygmomanometer (see the illustration). The measurement is read at two points and is expressed, for example, as 130 / 95. This indicates a systolic pressure of 130 millimeters of mercury and a diastolic pressure of 95 millimeters of mercury. Convert each of these measurements to centimeters of mercury.
__________ cc / __________ cc

Question 66

1 kilometer = ____ meters

A) 1,000
B) 100
C) 10
D) 0.001

Question 67

A doctor ordered 2,500 cc of a mixture. How many liters of mixture is this?

A) 2.5
B) 250
C) 25
D) 25,000

Question 68

Measure the lines using the ruler.

A) 26 mm
B) 2 cm
C) 20 mm
D) 3 cm

Question 69

Find the length of the pencil.

A) 85 mm
B) 80 mm
C) 8 cm
D) 8 mm

Question 70

Measure the lines using the ruler.

A) 2 cm
B) 1 cm
C) 2 mm
D) 20 mm

Question 71

Convert 0.8 dm to centimeters.
__________ cm

Question 72

1,000 liters = 1 _____

A) milliliter
B) kiloliter
C) deciliter
D) dekaliter

Question 73

Convert 90,000 cc to liters.
__________ L

Question 74

Convert 552 mg to grams.
__________ g

Question 75

1 deciliter = ____ liters

A) 0.1
B) 10
C) 100
D) 0.01

Question 76

Convert 5,760 minutes to days.
__________ days

Question 77

1 millimeter = ____ meters

A) 1,000
B) 0.1
C) 0.001
D) 10

Question 78

Convert 0.87 dm to centimeters.
__________ cm

Question 79

Convert 10 kg to grams.
__________ g

Question 80

The basic unit of ________ in the metric system is the liter.

A) mass
B) lenght
C) capacity
D) weigth