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 7 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.
MCAS Sample Questions: Grade 7 Math Sample Questions & Answers
Domain: Grade 7 >> Ratios and Proportional Relationships
Sample Question:
If y is proportional to x, and y = 4 when x = 6, what is the constant of proportionality between them (the ratio of x to y)?
A. 4 / 6
B. 2 / 3
C. 3 / 2
D. 3 / 1
Answer: C
Answer Explanation:
3/2 is the constant of proportionality when y = 4 and x = 6. To find the constant of proportionality, apply the concept of unit rate. Since y is proportional to x, that means for every 6 of x, there is 4 of y. Simplifying the ratio 6/4 = 3/2.
Practice Resources: Ratios & Proportional Relationships (7.RP.A.2)
Click here to practice: Ratios and Proportional Relationships – Unit Rates Grade 7 Math
Domain: Grade 7 >> The Number System
Sample Question:
If p + q has a value that is exactly 1/3 less than p, what is the value of q?
A. –1/3
B. 2/5
C. 1/3
D. –2/5
Answer: A
Answer Explanation:
The fact that p + q is less than p tells us that q is negative. p + q is exactly 1/3 less than p means, p + q = p – 1/3. Therefore, q is –1/3.
Practice Resources: The Number System (7.NS.A.1.B)
Click here to practice: The Number System – Add and Subtract Rational Numbers Grade 7 Math
Domain: Grade 7 >> Expressions and Equations
Sample Question:
has a material cost of $130, how much will Bob charge his client (including his labor fee)?
A. $162.50
B. $32.50
C. $130.25
D. None of the above
Answer: A
Answer Explanation:
In order to find out how much Bill should charge his client, divide 130 by 4, and then add the quotient to 130:
(1) 130 ÷ 4 = 32.50
(2) 130 + 32.50 = $162.50
Practice Resources: Expressions & Equations (7.EE.B.3)
Click here to practice: Expressions and Equations – Solving Multi-Step Problems Grade 7 Math
Domain: Grade 7 >> Geometry
Sample Question:
A. 4, 6, 9
B. 3, 4, 2
C. 2, 2, 3
D. 1, 1, 2
Answer: D
Answer Explanation:
The sum of any two sides of a triangle is always greater than the third side. Here, the sum of 1 + 1 = 2. Since the sum of 1 + 1 is not greater than 2, the lengths given cannot be the side lengths of a triangle.
Practice Resources: Geometry (7.G.A.2)
Click here to practice: Geometry – Drawing Plane (2-D) Figures Grade 7 Math
Domain: Grade 7 >> Statistics and Probability
Sample Question:
A. Students prefer science over the other subjects.
B. Students prefer math over the other subjects.
C. Students prefer English language arts over the other subjects.
D. Students prefer history over the other subjects.
Answer: A
Answer Explanation:
In the survey, 83 students selected science as their favorite subject while the other subjects had a combined number of 94 students. Therefore, an inference can be made that students prefer science over the other subjects.
Practice Resources: Statistics & Probability (7.SP.A.2)
Click here to practice: Statistics and Probability – Describing Multiple Samples Grade 7 Math
MCAS Practice
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