6th Grade 2024 Math Item and Test Sampler.

The prime factorizations of two numbers are shown below. first number: a · a · b second number: b · b · c Which expression represents a common factor of the two numbers?

• a · c

• b · b

• a · b · c

• b · b · b

Kellen and Luke each have a bank account. Kellen’s bank account increased in value last month, and Luke’s bank account decreased in value last month. Each boy plots a point on the same number line to represent the amount by which the value of his bank account changed last month. Which statement about the boys’ completed number line must be true?

• The two points are the same distance from 0.

• The two points are located on opposite sides of 0.

• The point representing the decrease in Luke’s bank account is at 0.

• The point representing the increase in Kellen’s bank account is located to the left of the point representing the decrease in Luke’s bank account.

Which statement about the population growth of the town is correct?

• The population growth from 2005 to 2010 is less than the population growth from 2010 to 2015 because -430 < 175.

• The population growth from 2005 to 2010 is less than the population growth from 2010 to 2015 because 175 < -430.

• The population growth from 2005 to 2010 is more than the population growth from 2010 to 2015 because -430 > 175.

• The population growth from 2005 to 2010 is more than the population growth from 2010 to 2015 because 175 > -430.

A museum displays paintings and photographs. The ratio of paintings on display to photographs on display is 5:2. Which statement about the number of paintings and the number of photographs on display at the museum must be true?

• The museum has 3 more paintings on display than photographs on display.

• The museum has 3 more photographs on display than paintings on display.

• For every 2 paintings on display at the museum, there are 5 photographs on display.

• For every 2 photographs on display at the museum, there are 5 paintings on display.

Based on the table, how much does the computer lab charge a customer who spends 210 minutes browsing online?

• $10.40

• $11.20

• $12.80

• $14.40

Two groups of workers pick apples. - The first group picks 30 bushels of apples in 3 hours. - The second group picks 15 bushels of apples in 5 hours. Based on these rates, what is the difference between the number of bushels each group picks in 4 hours?

• 7

• 15

• 28

• 60

A student has two books. The first book weighs b pounds. The second book weighs 3 7/8 pounds. Together, the two books weigh 8 1/4 pounds. Which equation and solution represent this situation?

• 2 · b = 8 1/4, b = 4 1/8 pounds

• b + 3 7/8 = 8 1/4, b = 4 3/8 pounds

• b + 3 7/8 = 8 1/4, b = 12 1/8 pounds

• 2 · b = 8 1/4, b = 16 1/2 pounds

What does the x in the equation most likely represent?

• the number of students who attend the school party

• the total number of people who attend the school party

• the fixed fee, in dollars, Ms. Diaz pays to rent the picnic area

• the total amount of money, in dollars, Ms. Diaz pays to rent the picnic area

The figure below shows the shape of a park. What is the area, in square yards, of the park?

• 2,880

• 3,240

• 7,128

• 7,488