Quiz about Proportional Reasoning Exam

Question 1

Emma has a coupon for $5.25 off a frame that normally costs $15.00. What percent discount does she receive on the frame?

Accepted Answer

35%

Answer

30%

Answer

40%

Answer

15%

Question 2

Joaquin estimates his score on his science test. Joaquin's estimate has a 3% error. His actual score on the science test is 91. What could be Joaquin's estimate?

Hint: There are 2 possibilities, there are 2 steps to this problem. First what is 3% and then take that value and apply it to the score.

Accepted Answer

88.27

Accepted Answer

93.73

Answer

88

Answer

90.97

Answer

94

Question 3

The curator at a children's museum wants to survey its visitors to determine a new exhibit to build. Which sampling method would produce a representative sample of the population of the museum's visitors?

Accepted Answer

Use a random number generator to generate three numbers. Survey everyone on the phone number list whose phone numbers end in those three numbers.

Accepted Answer

Spin an alphabet spinner six times and record the letters. Survey everyone on the e-mail list whose e-mail address begins with any of the letters.

Answer

Survey every fifth person who walks by the museum.

Answer

Stand by the dinosaur exhibit and ask every parent at the exhibit to flip a coin. Survey the parents whose coin lands on heads.

Question 4

The box plots show the amount of water, in ounces, that Jolie and Francesca drink after working out. Express the difference in the median amounts of water as a multiple of the IQR for each data set.

Accepted Answer

Diff. in Medians: 12

IQR for Jolie: 16

IQR for Francesca: 16

12 / 16 = 0.75

Answer

Diff. in Medians: 8

IQR for Jolie: 28

IQR for Francesca: 22

8 / 28 = 0.29

8 / 22 = 0.36

Answer

Diff. in Medians: 10

IQR for Jolie: 24

IQR for Francesca: 26

10 / 24 = 0.42

10 /26 = 0.38

Question 5

Ayush buys 2 travel mugs that each have an original price of $19.80. He uses a coupon for 15% off. How much does Ayush pay for 2 travel mugs?

Accepted Answer

$33.66

Answer

$2.97

Answer

$5.94

Answer

$16.83

Question 6

Last year, a rapper performed 40 times. This year, the rapper performs 125% of that number of times. How many times does the rapper perform this year?

Accepted Answer

50

Answer

40

Answer

30

Answer

60

Question 7

What does the "r" stand for in simple interest formula?

Accepted Answer

Interest Rate

Answer

Interest

Answer

Principal

Answer

Time

Question 8

A bank offers a savings account with a yearly simple interest rate of 2.5%. Suppose you deposit $680 into a savings account. How much simple interest do you earn in 4 years?
Formula: I = PrT

Accepted Answer

$68

Answer

$71

Answer

$66

Answer

$70

Question 9

Ellie borrows money at a yearly simple interest rate of 6.5%. After 4 years, Ellie owes $39 in interest. How much money did Ellie borrow?

Accepted Answer

$150

Answer

$200

Answer

$125

Answer

$175

Question 10

Pilar has 40 shells in her collection. She goes to the beach. She collects 6 more shells in the morning and 3 more shells in the afternoon. What is the percent change in Pilar's shell collection from the beginning of the day to the end?

Hint: Think about how much she added and then figure out what the percentage that value is of the original amount.

Accepted Answer

22.5%

Answer

20.25%

Answer

21.5%

Answer

23%

Question 11

A sign says the distance to the next exit is 5 mi. The actual distance is 5.2 mi. To the nearest percent, what is the percent error of the sign?

Accepted Answer

4%

Answer

3.85%

Answer

2%

Answer

3%

Question 12

A city manager wants to know if city residents think the recreation center should have extended hours for teenagers. Which sample is likely to be representative of the population of city residents?

Accepted Answer

Roll a number cube to select one of the first six names in a list of the city residents, then select every 15th name.

Answer

Roll a number cube to select one of the first six names in a list of females in the city, then select every 9th name.

Answer

Spin a spinner with sections labeled 1 through 5 to select one of the first five names in a list of people living alone in the city, then select every 4th name.

Answer

Spin a spinner with sections labeled 1 through 5 to select one of the first five names in a list of registered voters in the city, then select every 9th name.

Question 13

Marcus has three random samples of the same size from a population of 700 people. In one sample, 53% of people have a library card. In another, 51% of people have a library card. In the third, 43% have a library card. Based on the mean of the three samples, how many people with a library card should he expect are in the population?

Accepted Answer

343

Answer

301

Answer

357

Answer

371

Question 14

An inspector tests 15 random samples of 100 microchips from Hitech Microchips and 15 random samples of 100 microchips from Speedy Microchips. The dot plots show the number of defective microchips in each sample. What is the mean for both Hitech Microchips and Speedy Microchips?

Accepted Answer

HM: 5.8

SM: 6.6

Answer

HM: 5.8

SM: 6.4

Answer

HM: 5.6

SM: 6.6

Answer

HM: 6.0

SM: 6.2

Proportional Reasoning Exam

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