# Massachusetts Comprehensive Assessment System (MCAS) Sample Questions: Grade 6 Math

The Massachusetts Comprehensive Assessment system, commonly abbreviated as MCAS is Massachusetts’s statewide standards-based assessment program. The students will face a variety of new technology-enhanced questions as a part of the Massachusetts Comprehensive Assessment System.

Some of them are Multiple choice-single correct responses, Multiple choice-multiple correct responses, Matching Tables, Drag and Drop, Hot text, Table Fill in, Graphing, Equation/numeric, Extended constructed response, Short answer, and many more.

Today, we will share several sample questions along with practice test links for Grade 6 Math that gives you an idea of questions that your students are likely to see on the test. After each sample question, an explanation follows that includes any important aspects of the task that you may need to consider with respect to the skills, processes, and information your students need to know.

Domain: Grade 6 >> Ratios & Proportional Relationships
Sample Question:

A school has an enrollment of 600 students. 330 of the students are girls. Express the fraction of students who are boys in lowest terms.
A. 12/20
B. 11/20
C. 9/20
D. 13/20
First, to find the proper ratio, subtract the number of girls from the total number of students. The difference is the number of boys. 600-330 = 270. So, the initial ratio is 270/600.

Then, to reduce a ratio to its lowest term, divide the numerator and denominator by the Greatest Common Factor (GCF). Here, the GCF is 30. 270 divided by 30 = 9 and 600 divided by 30 = 20, so, the lowest ratio is 9/20.
Practice Resources: Ratios & Proportional Relationships (6.RP.A.1)

Domain: Grade 6 >> The Number System
Sample Question:

Do the following operation:
3/4
÷
7/8

=
A. 21/32
B. 1/2
C. 3/7
D. 6/7
The original problem is:

3 /4 ÷ 7/8

To divide fractions, you must Keep (the first fraction), Change (the division to multiplication), Flip (the second fraction, or, take the reciprocal).

3 / 4 X 8 /7

= 24/28

Simplify by factoring out the GCF of 4.

Practice Resources: The Number System (6.NS.A.1)

Domain: Grade 6 >> Expressions and Equations
Sample Question:

Evaluate: 34
A.9
B. 12
C. 81
D. 1
The base is 3

The exponent is 4

3 is multiplied 4 times, or 3 X 3 X 3 X 3 = 81
Practice Resources: Expressions & Equations (6.EE.A.1)

Sample Question:

Consider this figure.

Which of the following statements is true? A. There are four right angles shown.
B. The lines are perpendicular.
C. These two lines will never cross again.
D. All of the above are true.
When two lines are perpendicular, four right angles are formed, and the lines will never cross again.
Practice Resources: Geometry (6.G.A.3)

Domain: Grade 6 >> Statistics and Probability
Sample Question: Which two clothing items make up approximately 50% of the circle graph?

A. Shirts and pants
B. Socks and undergarments
C. Pants and socks
D. None of these