7th Grade Math – Post-test Assessment 3

Misha has a cube and a right square pyramid that are made of clay. She placed both clay figures on a flat surface.

Misha will make slices through each figure that are parallel and perpendicular to the flat surface. Which statements are true about the two-dimensional plane sections that could result from one of these slices? Select all that apply.

Use the information provided to answer Part A through Part D for question 2.

The directions on a bottle of vinegar say, “mix 1 cup of vinegar with 1 gallon of water to make a cleaning solution.” The ratio of vinegar to water  is 1 to 16.

Part A

How many cups of water should be mixed with  ¼ cup of vinegar to make the cleaning solution?

Part B

 How many fluid ounces of vinegar should be mixed with 80 fluid ounces of water to make the cleaning solution?

Part C

The bottle contains 1 quart of vinegar. What is the total number of quarts of cleaning solution that can be made using the entire bottle of vinegar?

Part D

A spray bottle holds up to 1 cup of the cleaning solution. When the spray bottle is full, what fraction of the cleaning solution is vinegar?

Josephine owns a diner that is open everyday for breakfast, lunch, and dinner. She offers a regular menu and a menu with daily specials. She wanted to estimate the percentage of her customers who order specials. She selected a random sample of 50 customers who had lunch at her diner during a three-month period. She determined that 28% of these customers ordered from the menu with specials.

Which statement about Josephine’s sample is true?

Use the information provided to answer Part A and Part B for question 4.

Today, Joelle walked  20 minutes at a rate of 3 miles per hour, and she ran 15 minutes at a rate of 6 miles per hour.

Part A

How many total miles did Joelle travel while walking and running?

Part B

Tomorrow, Joelle wants to travel a total of 4 miles by walking  and running. She plans to run for 20 minutes at a rate of 6 miles per hour.

How many minutes should she walk at a rate of 3 miles per hour to finish traveling the 4 miles?

Select each option that represents a proportional relationship between x and y.

Use the information provided to answer Part A and Part B for question 6.

This figure shows two shaded regions and a non-shaded region. Angles in the figure that appear to be right angles are right angles.

Part A

What is the area, in square inches, of the triangular-shaped region that is shaded in this figure?

Part B

What is the area, in square inches, of the non-shaded region in this figure?

Reagan will use a random number generator 1,200 times. Each result will be a digit from 1 to 6. Which statement best predicts how many times the digit 5 will appear among the 1,200 results?