Math Level 8: Diagnostic Assessment

• 6 boxes of flooring tiles

A copier produces 160 copies of a document in 4 minutes. What is the constant of proportionality that relates the number of copies made, y, to the number of minutes, x?

• 0.025

• 40

• 164

• 156

The table shows the price of bottled flavored water in packages with different numbers of bottles available for purchase at convenience stores, grocery stores, and wholesale clubs. Which statement is correct about the price of bottled flavored water and number of bottles per package?

• A. They are in a proportional relationship, because the ratio price to number of bottles per package changes.

• B. They are not in a proportional relationship, because the ratio price to number of bottles per package changes.

• C. They are in a proportional relationship, because the ratio price to number of bottles per package stays the same.

• D. They are not in a proportional relationship, because the ratio price to number of bottles per package stays the same.

Bill has a collection of 1,500 stamps. Of these stamps, 30% were released since 2000, 45% were released from 1970 to 1999, and the rest were released before 1970. How many stamps in Bill’s collection were released before 1970?

• 450 stamps

• 675 stamps

• 375 stamps

• 1,125 stamps

The price of the daily dinner special at Deb’s Diner increases from $7.00 to $8.75. By what percent does the price of the dinner special increase?

• 20%

• 25%

• 4%

• Not here

The price of a computer game is $36.50 plus 8% sales tax. What is the sales tax on the computer game in dollars and cents?

A particular day’s high temperature increased 47°F from the overnight low temperature of -9°F. What was this day’s high temperature?

• 9°F

• 36°F

• 47°F

• 56°F

Cynthia observes the movement of a snail as it crosses the walkway at school. She marks and measures the distance it travels every 15 minutes for 1 hour. She wrote the expression 4.2 + 5.6 + 3.8 + 7.4 to represent the total distance the snail traveled in 1 hour. Her attempt to simplify the expression is shown. Which of the following is a true statement?

• A. Her first mistake was in Step 1 of her calculations.

• B. Her first mistake was in Step 2 of her calculations.

• C. Her first mistake was in Step 3 of her calculations.

• D. Her first mistake was in Step 4 of her calculations.

What is the value of the expression -11.61 ÷ 4.3?