Proportional Reasoning Exam

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

• 30%

• 35%

• 40%

• 15%

Answer explanation

If you take 5.25 divide it by 15, you find 35%

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.

• 88

• 88.27

• 90.97

• 93.73

• 94

Answer explanation

Figure out what 3%(91) first. That is 2.73, then add & subtract the value from 91 for both options.

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?

• Survey every fifth person who walks by the museum.

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

• 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.

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

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.

• Diff. in Medians: 12

  IQR for Jolie: 16

  IQR for Francesca: 16

  12 / 16 = 0.75

• Diff. in Medians: 8

  IQR for Jolie: 28

  IQR for Francesca: 22

  8 / 28 = 0.29

  8 / 22 = 0.36

• Diff. in Medians: 10

  IQR for Jolie: 24

  IQR for Francesca: 26

  10 / 24 = 0.42

  10 /26 = 0.38

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?

• $2.97

• $5.94

• $16.83

• $33.66

Answer explanation

Take 85%(19.80), then take that value and multiply by 2.

The property manager of an apartment building wants to run monthly activities for tenants. The manager wants to know how many tenants would attend a fitness class.

What is one way the property manager could select a random sample that would be representative of the apartment tenants? Explain your reasoning.

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?

• 40

• 50

• 30

• 60

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

• Interest

• Principal

• Time

• Interest Rate

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

• $68

• $71

• $66

• $70

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?

• $150

• $200

• $125

• $175