Two sessions. No calculator in Session 1; calculators are allowed in Session 2.
Reporting categories
Expressions and Equations 25%; Ratios and Proportional Relationships, The Number System, and Statistics and Probability 20% each; Geometry 15%. Each within 5 po
Question types
Multiple choice, multiple select, technology enhanced, short answer and constructed response.
Questions that do not count
Six more 1- or 2-point questions and two more constructed-response questions are field test or equating questions.
Results
Four achievement levels: Exceeding, Meeting, Partially Meeting and Not Meeting Expectations.
A club grows from 40 members to 52 members. What is the percent increase?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.RP.A.3
A graph shows that the money Luis earns is proportional to the hours he works, with hours on the x-axis. The point (1, 14) is on the graph. What does this point mean?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.RP.A.2d
A hiker walks 3/4 of a mile in 1/3 of an hour. At that rate, how many miles does the hiker walk in one hour?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.RP.A.1
A jacket costs $48.00. The sales tax is 6.25 percent. What is the total cost with tax?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.RP.A.3
A machine fills 18 bottles every minute. Which equation gives the total number of bottles, b, filled in m minutes?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.RP.A.2c
Dana puts $600 in an account that pays 3% simple interest each year. How much interest does the account earn in 4 years?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.RP.A.3
Grapes cost $5.00 for 2 pounds, $12.50 for 5 pounds and $20.00 for 8 pounds. What is the constant of proportionality, in dollars per pound?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.RP.A.2b
Which set of (x, y) values has y proportional to x?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.RP.A.2a
Show all 40 questions (32 more)
The Number System 8
A submarine is at −120 feet. It goes down 15 feet each minute for 6 minutes. What is its new elevation?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.NS.A.3
Long division turns one of these fractions into a repeating decimal. Which one?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.NS.A.2d
What is (−6)(−1.5)?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.NS.A.2a
What is 2/3 − (−3/8)?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.NS.A.1d
What is the distance between −3.5 and 4 on a number line?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.NS.A.1c
What is −7.5 + 3.25?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.NS.A.1b
Which expression has the same value as −(9/4)?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.NS.A.2b
Which situation describes opposite quantities that combine to make 0?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.NS.A.1a
Expressions and Equations 10
A gym charges a $25 joining fee plus $12 each month. Kira has paid $109 in all. For how many months has she paid?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.EE.B.4a
A sequence begins 2, 6, 18, 54. Each term is 3 times the one before it. What is the sixth term?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.EE.B.4c
A sequence begins 5, 9, 13, 17. Which expression gives the nth term?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.EE.B.4c
A worker earns $18.00 an hour and gets a 5% raise. What is the new hourly pay?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.EE.B.3
Maya has $60. She buys a $15 ticket and spends the rest on snacks that cost $4 each. What is the greatest number of snacks she can buy?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.EE.B.4b
The price of a ticket, p, goes up by 8%. Which expression gives the new price?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.EE.A.2
Solve for x: 3(x + 4) = 27Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.EE.B.4a
Which expression is a factored form of 20x − 35?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.EE.A.1
Which expression is equivalent to −4(3x − 7)?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.EE.A.1
Which values of x make −2x + 5 > 11 true?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.EE.B.4b
Geometry 6
A box is a right rectangular prism 7 inches long, 5 inches wide and 3 inches tall. What is its surface area?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.G.B.6
A circular garden has a diameter of 12 meters. Using 3.14 for π, what is its area?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.G.B.4d
A right rectangular pyramid is sliced straight down through its top point, perpendicular to the base. What shape is the cross section?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.G.A.3
A student has straws of these lengths. Which set of three cannot be joined to make a triangle?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.G.A.2
On a floor plan, 1 inch stands for 8 feet. A room is drawn 2.5 inches long and 1.5 inches wide. What is the actual area of the room?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.G.A.1
Two angles are supplementary. One measures (4x)° and the other measures 68°. What is the value of x?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.G.B.5
Statistics and Probability 8
A class has 28 students, and 12 of them are in the band. One student is picked at random. What is the probability that the student is in the band?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.SP.C.7a
A fair coin is flipped twice. What is the probability of getting exactly one head?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.SP.C.8b
A number cube with faces 1 to 6 is rolled 300 times. About how many times should a 5 come up?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.SP.C.6
A school has 600 students. Which sample is most likely to represent all of them?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.SP.A.1
A thumbtack is tossed 80 times and lands point up 52 times. Based on these results, what is the probability that it lands point up?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.SP.C.7b
In a random sample of 50 students, 14 walk to school. The school has 800 students. About how many of them walk to school?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.SP.A.2
The mean height is 150 cm on Team A and 162 cm on Team B. On each team the mean absolute deviation is 4 cm. The difference between the means is how many times the mean absolute deviation?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.SP.B.3
Random samples of bean plants have a mean height of 24 cm in a shady bed and 31 cm in a sunny bed. The spread of heights is about the same in both samples. Which inference do the samples support?Massachusetts Curriculum Framework for Mathematics (2017), grade 7, standard 7.SP.B.4
How this list was compiled: Outline: MCAS Test Information for Grades 3-8 Mathematics, Massachusetts Department of Elementary and Secondary Education, https://www.doe.mass.edu/mcas/tdd/testdesign/g3-8-math.docx, linked from Mathematics Test Design and Development, https://www.doe.mass.edu/mcas/tdd/math.html?section=testdesign, read 2026-10-10. Each question names the grade 7 standard it practices in the 2017 Massachusetts Curriculum Framework for Mathematics, https://www.doe.mass.edu/frameworks/math/2017-06.pdf, read 2026-10-10. No released item and no practice test of the department was read. The answers are arithmetic on the numbers in the question, worked out a second time. Licence: Own work. Questions, answer choices and explanations were written for this site. Nothing is copied or reworded from an MCAS test, a released item, a practice test of the department or another practice test.
How it works
Unofficial practice for the grade 7 MCAS mathematics test in Massachusetts. The 40 questions were written for this site from the 2017 state framework, and none is a released item. Not affiliated with the Massachusetts Department of Elementary and Secondary Education.
Read the full guide
What the 7th grade math MCAS covers
The state's test design gives grade 7 five reporting categories. Expressions and Equations is the largest, 25 percent: equivalent expressions, two-step equations, inequalities and number sequences. Three categories have 20 percent each. Ratios and Proportional Relationships covers unit rates with fractions, tax and percent change. The Number System is adding, subtracting, multiplying and dividing negative numbers. Statistics and Probability is random samples and chance. Geometry, 15 percent, has scale drawings, circles, angle pairs and surface area.
Standards under each answer
Under every answer is its standard in the 2017 Massachusetts framework, such as 7.RP.A.3. The two sequence questions practice 7.EE.B.4c of that framework.
Session 1 allows no calculator, so work the fraction, percent and negative-number questions on paper.
Questions and answers
How many questions are on the 7th grade math MCAS?
The test design has 40 common questions worth 54 points: 34 worth one point, 2 worth two points and 4 constructed-response questions worth four points each. Eight more are field test or equating questions that do not count.
Can you use a calculator on the 7th grade math MCAS?
In one of its two sessions. The test design allows no calculator in Session 1 and allows calculators in Session 2 for grades 7 and 8. Grades 3 to 6 have no calculator in either session.
How is the 7th grade math MCAS scored?
Each student is placed in one of four achievement levels: Exceeding, Meeting, Partially Meeting or Not Meeting Expectations. The test design sets no percent to pass, so a percent on this page is practice only.
Where are the state's MCAS math 7th grade practice tests?
The department posts released questions and practice tests of its own, and the button in the box under the questions goes to them. This page is separate, unofficial practice.