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Pre-Algebra Unit 6 Ratio and Proportion Quiz

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Write the ratio in lowest terms, without using decimals.

mc001-1.jpg to mc001-2.jpg
a.
mc001-3.jpg
b.
mc001-4.jpg
c.
mc001-5.jpg
d.
mc001-6.jpg
e.
mc001-7.jpg
 

 2. 

A car travels 68 miles on 4 gallons of gas. Give the ratio of miles to gallons as a rate in miles per gallon.

mc002-1.jpg
a.
17 mi/gal
b.
16 mi/gal
c.
18 mi/gal
d.
15 mi/gal
e.
14 mi/gal
 

 3. 

Find the missing term in the proportion.

mc003-1.jpg
a.
mc003-2.jpg
b.
mc003-3.jpg
c.
mc003-4.jpg
d.
mc003-5.jpg
e.
mc003-6.jpg
 

 4. 

Find the missing term in the proportion.

mc004-1.jpg
a.
mc004-2.jpg
b.
mc004-3.jpg
c.
mc004-4.jpg
d.
mc004-5.jpg
e.
mc004-6.jpg
 

 5. 

A basketball player scores 160 points in 10 games. At this rate how many points will he score in 20 games?
a.
320 points
b.
322 points
c.
323 points
d.
319 points
e.
321 points
 

 6. 

A solution contains 7 pints of antifreeze and 4 pints of water. How many pints of water must be added to 28 pints of antifreeze to get a solution with the same concentration?
a.
19 pt
b.
17 pt
c.
20 pt
d.
18 pt
e.
16 pt
 

 7. 

The size of a model train relative to an actual train is referred to as its scale. Each scale is associated with a ratio as shown in the table below. For example, an HO model train has a ratio of mc007-1.jpg to mc007-2.jpg, meaning it is mc007-3.jpg as large as an actual train. How long is an actual box car that has a LGB scale model mc007-4.jpg inches long?

SCALERATIO
mc007-5.jpg
LGB1 to 22.5
#11 to 32
O1 to 43.5
S1 to 64
HO1 to 87
TT1 to 120
a.
433 in
b.
430 in
c.
431 in
d.
429 in
e.
432 in
 

 8. 

The problem contains a pair of similar figures. For this pair of figures, set up a proportion in order to find the unknown.

mc008-1.jpg
a.
mc008-2.jpg
b.
mc008-3.jpg
c.
mc008-4.jpg
d.
mc008-5.jpg
e.
mc008-6.jpg
 

 9. 

A new graphics card can increase the resolution of a computer's monitor. Suppose a monitor has a horizontal resolution of 800 pixels and a vertical resolution of 600 pixels. By adding a new graphics card the resolutions remains in the same proportions, but the vertical resolution increases to 864 pixels. What is the new horizontal resolution?
a.
1,152 pixels
b.
1,252 pixels
c.
1,352 pixels
d.
1,202 pixels
e.
1,302 pixels
 

 10. 

A building casts a shadow 128 feet long, while a 25-foot flagpole casts a shadow 32 feet long. How tall is the building?

mc010-1.jpg
a.
102 ft
b.
104 ft
c.
100 ft
d.
96 ft
e.
98 ft
 

Numeric Response
 

 1. 

Miles/Liter

A car pulling a trailer can travel 147 miles on 49 liters of gas. What is the gas mileage in miles per liter?

Please enter your answer as a number without the units.

 

 2. 

Cents/Pound

A 7-pound bag of cat food costs $14.70. Give the unit price in dollars per pound.

 

 3. 

Miles/Hour

A train travels 270 miles in 5 hours. What is the rate of the train in miles per hour?

Please enter your answer as a number without the units.

 

 4. 

Miles/Gallon

If a truck travels 145.1 miles on 9.6 gallons of gas, what is the gas mileage in miles per gallon?

Please enter your answer as a number without the units. Round the result to the nearest tenth.

 

 5. 

Find the missing term in the proportion.

nr005-1.jpg

 

 6. 

Find the missing term in the proportion.

nr006-1.jpg

 

 7. 

Find the missing term in the proportion.

nr007-1.jpg

 

 8. 

Find the missing term in the proportion.

nr008-1.jpg

 

 9. 

A traveling salesman figures it costs nr009-1.jpg¢ for every mile he drives his car. How much does it cost him a week to drive his car if he travels nr009-2.jpg miles a week?

$__________

 

 10. 

Map Reading

The scale on a map indicates that 1 inch corresponds to an actual distance of 90 miles. Two cities are 5.5 inches apart on the map. What is the actual distance between the two cities?

Please enter your answer as a number without the units.

 

Short Answer
 

 1. 

Write the ratio in lowest terms, without using decimals.

sa001-1.jpg to sa001-2.jpg

sa001-3.jpg
 

 2. 

Geometry

From the diagram below, find the ratio of DE to AE, if AC = a = 24, CE = b = 16, DE = c = 52.

sa002-1.jpg

Please enter your answer as a fraction in lowest terms.
 

 3. 

Name the means, name the extremes, and show that the product of the means is equal to the product of the extremes.

sa003-1.jpg

Means: __________

Extremes: __________

Products: __________
 

 4. 

Find the missing term in the proportion. Write your answer as a fraction in lowest terms.

sa004-1.jpg
 

 5. 

The size of a model train relative to an actual train is referred to as its scale. Each scale is associated with a ratio as shown in the table below. For example, an HO model train has a ratio of sa005-1.jpg to sa005-2.jpg, meaning it is sa005-3.jpg as large as an actual train. How long is an actual box car that has a LGB scale model sa005-4.jpg inches long? Give your answer in inches, then divide by sa005-5.jpg to give the answer in feet.

SCALERATIO
sa005-6.jpg
LGB1 to 22.5
#11 to 32
O1 to 43.5
S1 to 64
HO1 to 87
TT1 to 120

sa005-7.jpg
 



 
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