100+ Free MCAS Grade 10 Math Practice Questions

Pass your MCAS Grade 10 Mathematics Test exam on the first try — instant access, no signup required.

✓ No registration✓ No credit card✓ No hidden fees✓ Start practicing immediately

100+ Questions

100% Free

1 / 100

Question 1

Score: 0/0

A bag contains 3 red, 4 blue, and 5 green marbles. What is the probability of drawing a blue marble at random?

4/12

1/3

1/4

1/12

to track

Same family resources

Explore More K-12 State Assessments

Continue into nearby exams from the same family. Each card keeps practice questions, study guides, flashcards, videos, and articles in one place.

2026 Statistics

Key Facts: MCAS Grade 10 Math Exam

The MCAS Grade 10 Mathematics Test is a free, untimed, two-session high-school exam from the Massachusetts DESE covering algebra, functions, geometry, and statistics and probability, reported on a 440-560 scale with 500 marking grade-level proficiency.

Sample MCAS Grade 10 Math Practice Questions

Try these sample questions to test your MCAS Grade 10 Math exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1What is the value of 27^(2/3)?

A.6

B.9

C.18

D.81

Explanation: A rational exponent a^(m/n) equals the n-th root of a, raised to the m power. So 27^(2/3) = (cube root of 27)^2 = 3^2 = 9.

2Which expression is equivalent to the square root of 50, written in simplest radical form?

A.5 times the square root of 2

B.2 times the square root of 5

C.25 times the square root of 2

D.10 times the square root of 5

Explanation: Factor 50 as 25 times 2. The square root of 25 is 5, which comes out of the radical, leaving 5 times the square root of 2.

3Which statement about the product of a nonzero rational number and an irrational number is always true?

A.The product is always rational

B.The product is always irrational

C.The product is always an integer

D.The product can be either rational or irrational

Explanation: The product of a nonzero rational number and an irrational number is always irrational. If it were rational, dividing by the rational factor would force the irrational number to be rational, a contradiction.

4A car travels 240 miles using 8 gallons of gas. Using unit analysis, what is the fuel efficiency in miles per gallon?

A.24 miles per gallon

B.30 miles per gallon

C.32 miles per gallon

D.248 miles per gallon

Explanation: Fuel efficiency in miles per gallon is found by dividing miles by gallons: 240 divided by 8 equals 30 miles per gallon.

5What is the completely factored form of the expression x^2 - 9?

A.(x - 3)(x - 3)

B.(x + 3)(x + 3)

C.(x - 3)(x + 3)

D.(x - 9)(x + 1)

Explanation: The expression x^2 - 9 is a difference of two squares because 9 = 3^2. A difference of squares a^2 - b^2 factors as (a - b)(a + b), giving (x - 3)(x + 3).

6Solve the equation 3(x - 4) = 2x + 5 for x.

A.x = 1

B.x = 7

C.x = 17

D.x = -7

Explanation: Distribute to get 3x - 12 = 2x + 5. Subtract 2x from both sides to get x - 12 = 5, then add 12 to both sides to find x = 17.

7What are the solutions to the quadratic equation x^2 - 5x + 6 = 0?

A.x = 1 and x = 6

B.x = 2 and x = 3

C.x = -2 and x = -3

D.x = -1 and x = 6

Explanation: Factor the quadratic as (x - 2)(x - 3) = 0 because -2 and -3 multiply to 6 and add to -5. Setting each factor to zero gives x = 2 and x = 3.

8Using the quadratic formula, what are the solutions to 2x^2 + 3x - 2 = 0?

A.x = 1/2 and x = -2

B.x = -1/2 and x = 2

C.x = 2 and x = -2

D.x = 1 and x = -2

Explanation: With a = 2, b = 3, c = -2, the discriminant is 9 + 16 = 25, so the square root is 5. The solutions are (-3 + 5)/4 = 1/2 and (-3 - 5)/4 = -2.

9A rectangle has length (x + 5) and width (x + 2). Which expression represents its area as a polynomial?

A.2x + 7

B.x^2 + 7x + 10

C.x^2 + 10x + 7

D.x^2 + 7

Explanation: Area is length times width: (x + 5)(x + 2). Using the distributive property gives x^2 + 2x + 5x + 10 = x^2 + 7x + 10.

10Solve the system of equations: y = 2x + 1 and y = -x + 7. What is the point of intersection?

A.(2, 5)

B.(3, 7)

C.(2, 4)

D.(1, 3)

Explanation: Set the right sides equal: 2x + 1 = -x + 7, so 3x = 6 and x = 2. Substituting into y = 2x + 1 gives y = 5, so the solution is (2, 5).

About the MCAS Grade 10 Math Exam

The MCAS Grade 10 Mathematics Test is part of the Massachusetts Comprehensive Assessment System administered by the Department of Elementary and Secondary Education (DESE) and aligned to the 2017 Massachusetts Curriculum Framework for Mathematics. The grade 10 test assesses the standards that overlap the Model Algebra I and Model Geometry courses (and Model Mathematics I and II), spanning Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. It is delivered in two sessions, most often on a computer, using selected-response, short-answer and constructed-response items; one session allows a calculator and one does not, and a state reference sheet is provided. Results are reported on a 440-560 scale across four achievement levels. Following the November 2024 ballot question, scores no longer function as a statewide high-school graduation requirement, but Massachusetts students continue to take the grade 10 Mathematics test, and it remains a key measure of math readiness.

Questions

100 scored questions

Time Limit

Untimed, given in two sessions; most students finish in about two to three hours total.

Passing Score

A scaled score of 500 (Meeting Expectations) indicates grade-level proficiency on the 440-560 scale. As of the 2024 ballot result, MCAS scores no longer serve as a statewide graduation requirement, but students still take the test.

Exam Fee

Free for students; Massachusetts funds the assessment through public schools and there is no student registration fee. (Massachusetts Department of Elementary and Secondary Education (DESE), with test delivery by Cognia.)

MCAS Grade 10 Math Exam Content Outline

Approx 60%

Number, Quantity, Algebra and Functions

Rational exponents and radicals, units and quantities, structure of expressions, factoring, creating and solving linear and quadratic equations and inequalities, systems, function notation, sequences, and linear, quadratic and exponential models.

Approx 20%

Geometry

Rigid motions and congruence, similarity and dilations, right-triangle trigonometry, the Pythagorean Theorem, circles and sectors, coordinate geometry with slope and distance, and volume of solids.

Approx 20%

Statistics and Probability

Dot plots, histograms and box plots, center and spread, two-way frequency tables, scatter plots, lines of best fit, the correlation coefficient, conditional probability, and the rules of probability.

How to Pass the MCAS Grade 10 Math Exam

What You Need to Know

Passing score: A scaled score of 500 (Meeting Expectations) indicates grade-level proficiency on the 440-560 scale. As of the 2024 ballot result, MCAS scores no longer serve as a statewide graduation requirement, but students still take the test.
Exam length: 100 questions
Time limit: Untimed, given in two sessions; most students finish in about two to three hours total.
Exam fee: Free for students; Massachusetts funds the assessment through public schools and there is no student registration fee.

Keys to Passing

Complete 500+ practice questions
Score 80%+ consistently before scheduling
Focus on highest-weighted sections
Use our AI tutor for tough concepts

MCAS Grade 10 Math Study Tips from Top Performers

1Focus most of your review on algebra and functions, since standards overlapping Model Algebra I make up the largest share of the test.

2Master quadratics thoroughly, including factoring, the quadratic formula, completing the square, and reading vertex and intercepts from graphs.

3Practice the non-calculator session separately so you can simplify radicals, evaluate functions, and solve equations by hand with confidence.

4Learn the provided reference sheet ahead of time, especially the area, volume, Pythagorean and quadratic formulas, so you do not waste time hunting for them.

5Work official released grade 10 items from recent spring administrations to get used to short-answer and constructed-response formats alongside multiple choice.

6Review statistics and probability topics such as two-way tables, lines of best fit, the correlation coefficient, and conditional probability, which are reliable points if practiced.

Frequently Asked Questions

What is the MCAS Grade 10 Mathematics Test?

It is the high-school mathematics test of the Massachusetts Comprehensive Assessment System, administered by the Department of Elementary and Secondary Education and aligned to the 2017 Massachusetts Curriculum Framework for Mathematics. It measures the standards that overlap the Model Algebra I and Model Geometry courses.

Is the MCAS still required to graduate in Massachusetts?

No. In November 2024, voters approved a ballot question that removed passing the grade 10 MCAS as a statewide graduation requirement. Students still take the test, but a Competency Determination is now earned mainly through coursework rather than the test score.

What topics are on the Grade 10 Mathematics test?

It covers Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. Common topics include rational exponents, quadratics, systems of equations, function models, right-triangle trigonometry, circles, two-way tables, and the correlation coefficient.

How is the test scored?

Scores are reported on a scale of 440 to 560 across four achievement levels: Not Meeting, Partially Meeting, Meeting, and Exceeding Expectations. A scaled score of 500 indicates that a student is meeting grade-level expectations.

Can I use a calculator on the MCAS Grade 10 math test?

Partly. The test is given in two sessions; a calculator is permitted in one session but not in the other. A state-provided reference sheet with formulas is available during both sessions.

How much does the MCAS Grade 10 math test cost?

There is no cost to students. Massachusetts funds the Massachusetts Comprehensive Assessment System through its public schools, so students do not pay a registration fee to take the grade 10 Mathematics test.

100+ Free MCAS Grade 10 Math Practice Questions

MCAS Grade 10 Mathematics

Explore More K-12 State Assessments

ACT Aspire — Early High School (Grade 9)

California Assessment of Student Performance and Progress

FAST ELA Reading Grade 3

FAST ELA Reading Grade 4

FAST ELA Reading Grade 5

FAST ELA Reading Grade 6