Deck 5: Proportional Reasoning

Question 1

You drove 208 miles in 4 hours. Find the number of miles you drove per hour. ​

A)
B) ​
C) ​
D) ​
E) ​

Answer 1

Question 2

For landscape maintenance Gretchen Green uses 2 pounds of fertilizer for every 200 square feet of lawn. At this rate, how many pounds of fertilizer did she use on a lawn that measures 8600 square feet? Round to the nearest whole number. ​

A) 86 lb
B) 400 lb
C) 91 lb
D) 202 lb
E) 200 lb

Answer 2

86 lb

Question 3

An exit poll survey showed that 4 out of every 5 voters cast a ballot in favor of an amendment to a city charter. At this rate, how many voters voted in favor of the amendment if 6400 people voted? ​

A) 8000
B) 5000
C) 1280
D) 5020
E) 5120

Answer 3

5120

Question 4

If the ratio of boys to girls in a class is 5 to 1, will the ratio of boys to girls stay the same, become greater, or become smaller if 2 boys and 2 girls are added to the class? ​

A) become greater
B) become smaller

Question 5

A simple syrup used in making some desserts requires 2 c of sugar for every 2/3 c of boiling water. At this rate, how many cups of sugar are required for 2 c boiling water? ​

A) 13
B) 4
C)
D) 6
E) 2

Question 6

Assume the ratio of physicians to inhabitants of the United States is 1 to 536. If there are 300 million people living in the United States, approximately how many physicians are there? ​

A) 1,119,403
B) 186,567
C) 55,970
D) 5,597,015
E) 559,701

Question 7

An automobile was driven 338.8 miles on 11 gallons of gas. Find the number of miles driven per gallon of gas. ​

A)
B)
C)
D)
E)

Question 8

On a map, two cities are in. apart. If 3/8 in. on the map represents 40 mi, find the number of miles between the two cities. ​ ​

A) 35.63 mi
B) 80.00 mi
C) 253.33 mi
D) 263.33 mi
E) 269.33 mi

Question 9

Marco bought a camper for $2100. Three years later he sold the camper for $1200. Find the ratio, in simplest form, of the amount he received for the camper to the cost of the camper. ​

A) ​
B) ​
C) ​
D) ​
E) ​

Question 10

Jane's time in a 100 meters freestyle swimming race was 54.45 seconds. What was her average speed over the course of that race? Round your answer in meters per second to two decimal places. ​

A) 0.54 meters per second
B) 5.44 meters per second
C) 3.68 meters per second
D) 1.84 meters per second
E) 6.84 meters per second

Question 11

Trying to break a record for the greatest distance pushing a baby carriage in 24 hours, John pushed the carriage 350.15 miles. What, to the nearest second, was the average time per mile? ​

A) 343 seconds
B) 123 seconds
C) 41 seconds
D) 82 seconds
E) 247 seconds

Question 12

A newspaper survey showed that 2 out of every 3 eligible voters did vote in the town election. At this rate, how many people in a town of 300,000 eligible voters voted in the election? ​

A) 450,000
B) 100,000
C) 200,000
D) 299,997
E) 190,000

Question 13

The average price of a 30 -second commercial during a popular sitcom last year was $ 473,700 . Find the price per second. ​

A) ​
B)
C)
D)
E)

Question 14

In a city of 24,000 homes, a survey was taken to determine the number with cable television. Of the 300 homes surveyed, 205 had cable television. Estimate the number of homes in the city that have cable television. ​

A) 35,122
B) 16,400
C) 16,917
D) 7,600
E) 16,653

Question 15

One grocery clerk can stock a shelf in 60 min, whereas a second clerk requires 84 min to stock the same shelf. How long would it take to stock the shelf if the two clerks worked together? ​

A) 35 min
B) 17.5 min
C) 47 min
D) 42 min
E) 144 min

Question 16

A car traveled 91 miles in hours. What was the car's average speed in miles per hour? ​

A) 13 mph
B) 28 mph
C) 295 mph
D) 121 mph
E) 30 mph

Question 17

Assume there were 3,870,000 births in the United States in 2000. Determine the birth rate, per 1000 population. The U.S. population in 2000 was 281 million. Round to the nearest integer. ​

A) 14
B) 9
C) 210
D) 17
E) 28

Question 18

Micah owns 261 shares of stock in his sister's company. The company declares a stock split of 6 shares for every 3 owned. How many shares of stock will Micah own after the stock split? ​

A) 131
B) 522
C) 783
D) 527
E) 18

Question 19

On a scale drawing for a building, the height of the atrium is 8.4 centimeters. If the actual height is 33.6 meters, what is the scale of the drawing? In other words, how many meters are represented by 1 centimeter on the drawing? Round to the nearest meter. ​

A) 6 meters
B) 12 meters
C) 3 meters
D) 4 meters
E) 8 meters

Question 20

Samantha can buy $10,000 of life insurance for $39.04 per month. At this rate, what is the monthly cost of $40,000 of life insurance? ​

A) $9.76
B) $156.16
C) $161.16
D) $1024.59
E) $43.04

Question 21

If the Jones family paid an average of $75.72 per month for electricity last year and the rate rises 4.0% each year, what will they pay after 5 years? Round your answer to two decimal places. ​

A) $95.42
B) $78.75
C) $407.24
D) $92.12
E) $88.58

Question 22

Adam pays a monthly payment of $ 38.84 on his $ 3,900 loan. At the same rate, find Erica's monthly payment on her $ 19,500 loan. Round to the nearest penny. ​

A) $ 19,305.80
B) $ 194.20
C) $ 5.00
D) $ 15,600.00
E) $ 199.20

Question 23

Several years ago, newspapers reported that the average unpaid balance on VISA cards was about $ 1200 . Let's say that you are an average consumer, that your VISA card charges you at the rate of 18% per year, and that each year, you have an unpaid balance of exactly $ 1200 . How much money would you save if you switched to a credit card that charged only an 8 % annual interest rate? ​

A) $ 96
B) $ 72
C) $ 84
D) $ 144
E) $ 120

Question 24

At the One a Day Factory, rotten apples are discarded by Jeana, an apple inspector. On a given day, Jeana found that 4.4 % of the 60,000 pounds of apples were rotten. How many pounds of apples were rotten? ​

A) 2,640 lb
B) 13,636 lb
C) 62,640 lb
D) 57,360 lb
E) 46,364 lb

Question 25

What is the percent increase for a house that sells for $ 64,000 and then later for $ 139,000 ? Round to the nearest percent. ​

A) 46 %
B) 117 %
C) 54 %
D) 22 %
E) 317 %

Question 26

As part of a conservation effort for a lake, 60 fish are caught, tagged, and then released. Later 120 fish are caught. Eight of the 120 fish are found to have tags. Estimate the number of fish in the lake. ​

A) 1,500
B) 35,900
C) 900
D) 57,600
E) 3,900

Question 27

On a map of an inch represents 65 miles. How far apart are two cities in reality if they are inches apart on the map? You can solve this problem by any means except setting up a proportion and solving for x . Round to the nearest mile. ​

A) 171 miles
B) 256 miles
C) 341 miles
D) 158 miles
E) 512 miles

Question 28

Assume that 18.9 percent of American children were living in poverty in 2003. If there were 87.6 million children, what number were living in poverty? Round to the nearest integer. ​

A) 4,966,920
B) 33,112,800
C) 165,564
D) 4,634,921
E) 16,556,400

Question 29

Felicia owns 80 shares of Electrify Us Power Cooperative that pay dividends of $129. At this rate, what dividend would Felicia receive after buying 560 additional shares? ​

A) $903
B) $982
C) $640
D) $932
E) $1032

Question 30

If the Jones family's income is $54,000 this year and rises at a rate of 4.5% each year, what will be their income after 7 years? Round to the nearest cent. ​

A) $70,322.05
B) $58,969.35
C) $73,486.54
D) ​ $67,293.82
E) ​ $56,430.00

Question 31

Assume senior high school principals now average $76,569 a year, and assume the average teacher makes $36,027 per year. What percent less do teachers make than senior high school principals? Round to the nearest integer. ​

A) 43 percent less
B) 113 percent less
C) 53 percent less
D) 58 percent less
E) 147 percent less

Question 32

In his truck Robert can drive 80 miles on 2 gallons of gas. Find the distance that Robert's truck can travel on 17 gallons of gas. Round to the nearest hundredth. ​

A) 9.41 miles
B) 686.00 miles
C) 680.00 miles
D) 80.43 miles
E) 160.00 miles

Question 33

The sales tax on a car that sold for $13,500 is $810. At this rate, how much higher is the tax on a car that sells for $16,500? ​

A) $320.00
B) $180.00
C) $172.00
D) $990.00
E) $680.00

Question 34

Suppose that 50 billion pounds of a product were produced in the United States last year, of which 19 billion pounds were wasted. What percent of production was wasted? Round to the nearest tenth of a percent. ​

A) 0.4 %
B) 380.0 %
C) 3.8 %
D) 3800.0 %
E) 38.0 %

Question 35

Funtimes Amusement Park has 750 employees and must hire an additional 18 % for the vacation season. What is the total number of employees needed for the vacation season? ​

A) 885
B) 1,350
C) 135
D) 930
E) 768

Question 36

What is 0.26% of 933? ​

A) 242.58
B) 2425.8
C) 24.258
D) 0.24258
E) 2.4258

Question 37

Which is larger: 6 % of 65 , or 90 % of 7 ? ​

A) 6 % of 65
B) 90 % of 7

Question 38

At the end of the first school day, Mr. Davies, a first grade teacher, inspected his classroom crayons. 2 of the 200 crayons were broken. What percent of the crayons were not broken? ​

A) 1 %
B) 0.1 %
C) 198 %
D) 99.9 %
E) 99 %

Question 39

Let's say a map has a scale of 1: 15,000 (inches:feet). Two cities on the map are 4 inches apart. How many miles does this represent? Round your answer to the nearest mile. ​

A) 12 miles
B) 9 miles
C) 22 miles
D) 11 miles
E) 3 miles

Question 40

What is 77% of 81? ​

A) 0.6237
B) 6237
C) 62.37
D) 6.237
E) 623.7

Question 41

What percent of 12 is 1.8 ? ​

A) 12 %
B) 1.8 %
C) 15 %
D) 1.5 %
E) 18 %

Question 42

7.2 is what percent of 4? ​

A) 7.2%
B) 180%
C) 72%
D) 4%
E) 18%

Question 43

What percent of 80 is 12 ? ​

A) 85 %
B) 15 %
C) 92 %
D) 12 %
E) 80 %

Question 44

What percent of 10 is 2.5? ​

A) 10%
B) 100%
C) 50%
D) 2.5%
E) 25%

Question 45

Suppose that three in four couples disagree on a particular matter. What percent of couples disagree on the matter? ​

A) 0.75%
B) 750%
C) 75%
D) 133.33%
E) 7.5%

Question 46

In a survey, children were asked what flavor of ice cream they favored. 400 children, or 8 % of the respondents, said chocolate was their favorite. How many children responded in the survey? ​

A) 32
B) 400
C) 408
D) 5,000
E) 320

Question 47

Let's say that Amy made 5 out of 21 free throws and Jane made 3 out of 12. What was the better rate of success? Round your answer to the nearest percent. ​

A) 25 %
B) 2 %
C) 24 %
D) 13 %
E) 3 %

Question 48

What percent of 50 is 55? ​

A) 110%
B) 50%
C) 100%
D) 2%
E) 55%

Question 49

5 is what percent of 20 ? ​

A) 100 %
B) 5 %
C) 20 %
D) 75 %
E) 25 %