7th grade Review Quiz

A statistician takes several random surveys, each of 30 lifeguards, to determine the favorite sunscreen brand of lifeguards. The table shows the mean results from all the surveys.

Which two statements are valid inferences that can be made based on the data collected?

• On average, about 50% of lifeguards prefer either No More Rays or Protect-O.

• On average, about 40% of lifeguards prefer Sun Shield.

• On average, about 3/4 of lifeguards prefer either No More Rays or Sunny Days.

• On average, about 3/10 of lifeguards prefer either No More Rays or Sunny Days.

• On average, about 1/4 of lifeguards prefer Sun Shield.

There is an 8% chance that a random household in Virginia has a motorcycle. A student designs

a simulation to approximate the probability of calling 3 households in Virginia in a row that

have motorcycles.

Which statement is true?

• A: The student can use a spinner divided into 8 equal sections and have 1 of the sections

  represent a household without a motorcycle and 7 of the sections represent a household

  with a motorcycle.

• B: The student can use a spinner divided into 8 equal sections and have 1 of the sections

  represent a household with a motorcycle and 7 of the sections represent a household

  without a motorcycle.

• C: The student can use a random number generator and assign numbers 1 and 2 to represent a

  household with a motorcycle and numbers 3 through 25 to represent a household without a

  motorcycle.

• D: The student can use a random number generator and assign numbers 1 and 2 to represent a

  household with a motorcycle and numbers 3 through 10 to represent a household without a

  motorcycle.

The box plots show the number of tickets sold per game for two different sports, basketball and football.

Which statement about the difference in the medians of the two data sets is true?

• A: The difference in the medians is about 1/3

  times the interquartile range of tickets sold per game for either sport.

• B: The difference in the medians is about 1/2

  times the interquartile range of tickets sold per game for either sport.

• C: The difference in the medians is about 2 times the interquartile range of tickets sold per game for either sport.

• D: The difference in the medians is equal to the interquartile range of tickets sold per game for either sport.

An assistant spends a total of 60 hours working one week. If the assistant spends 18 hours on

scheduling travel and spends an equal amount of time, h, in hours, working on each of 3 other

projects, which statement is true?

• A: The equation

  3(h + 18) = 60

  can be used to find h, and the assistant spends 14 hours on

  each of the other projects.

• B: The equation

  3(h + 18) = 60

  can be used to find h, and the assistant spends 2 hours on

  each of the other projects.

• C: The equation

  3h + 18 = 60

  can be used to find h, and the assistant spends 14 hours on each of the other projects.

• D: The equation

  3h + 18 = 60

  can be used to find h, and the assistant spends 2 hours on each

  of the other projects.

A restaurant sells orange juice by the ounce. The graph shows the relationship between the amount of juice and the total cost.

What does point J represent on the graph?

• A: The cost of 2 ounces of orange juice is $3.00.

• B: The cost of 2 ounces of orange juice is $6.00.

• C: The cost of 6 ounces of orange juice is $2.00.

• D: The cost of 6 ounces of orange juice is $4.00.

A student rolls a fair 1 − 6 number cube and flips a coin. What is the probability that the number cube lands on an even number and the coin lands on heads?

• 1/2

• 1/4

• 1/8

• 1/12

Which set of measurements determines one unique triangle?

• 20°, 60°, 100°

• 30°, 40°, 50°

• 40 ft, 50 ft, 80 ft

• 50 ft, 60 ft, 110 ft

A company sells blocks of ice in the shape of right rectangular prisms. If one ice block has a height of 4 feet and a volume of 24 cubic feet, which statement is true?

• The dimensions of the base of the ice block could be 2 feet by 2 feet.

• The dimensions of the base of the ice block could be 2 feet by 3 feet.

• The dimensions of the base of the ice block could be 3 feet by 3 feet.

• The dimensions of the base of the ice block could be 10 feet by 10 feet.

A drawer contains 15 pens, 12 pencils, 9 highlighters, and 4 erasers. What is the probability of randomly selecting an eraser from the drawer?

• 1/10

• 9/40

• 3/10

• 3/8

A student creates a scale model of a capitol building with a scale of 5 centimeters = 19 meters. If the actual height of the building is 228 meters, what is the height of the scale model?

• 60 centimeters

• 72.2 centimeters

• 91.2 centimeters

• 214 centimeters