A ball is launched from the ground. Its height in feet after t seconds is h(t) = −16t² + 80t. What is the greatest height it reaches?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.2.1
A car bought for $20,000 loses 15% of its value each year. What is it worth after 2 years?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.2.2
A culture starts with 100 bacteria and doubles every hour. After how many hours will there be 3,200 bacteria?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.4.2
A function has the table x: 0, 1, 2, 3 and y: 5, 10, 20, 40. Which function matches the table?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.2.3
A plumber charges $65 for a visit plus $48 for each hour of work. What is the cost of a job that takes 3.5 hours?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.2.1
Show all 47 questions (42 more)
Algebra, continued
A town of 12,000 people grows by 3% each year. Which function gives its population P after t years?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.2.2
How is the graph of g(x) = (x + 3)² related to the graph of f(x) = x²?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.1.9
If g(x) = 3x² + 4, what is g(−2)?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.1.1
The length of a rectangle is 5 meters more than its width. Its area is 36 square meters. What is its width?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.4.1
What are the solutions of x² + 9 = 0?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.4.3
What is the domain of f(x) = √(3x + 12) in the real numbers?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.1.3
What is the line of symmetry of the parabola f(x) = (x + 2)(x − 6)?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.1.5
What is the lowest point on the graph of f(x) = |x − 2| + 1?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.2.6
What is the solution of √(x + 7) = x − 5?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.4.7
What is the sum of the first four terms of the geometric series that begins 2 + 6 + 18?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.2.5
What is the value of |3 − x²| when x = −4?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.3.1
Which expression is equal to (x² − 16) ÷ (x − 4) for every x other than 4?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.3.4
Which formula gives the nth term of the geometric sequence 5, 15, 45, 135, ...?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.2.4
Which is the factored form of x² − 121?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.3.3
Which line is an asymptote of the graph of f(x) = 3ˣ − 2?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.1.7
Which number is equal to 16 raised to the power 3/2?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.3.6
Which point is a solution of the system y > x + 1 and y ≤ −x + 6?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.4.4
Which polynomial is the product (3x − 2)(x + 4)?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.2.3.2
Geometry and Measurement 14
A 16-foot ladder makes a 60° angle with the ground. About how high up the wall does it reach?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.3.4.2
A figure is made of a rectangle 10 inches by 6 inches with a half circle attached to one 6-inch side. The 6-inch side is the diameter of the half circle. What is the area of the figure?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.3.1.2
A pyramid has a square base with sides of 6 feet and a height of 4 feet. What is its volume?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.3.1.1
A regular polygon has 9 sides. How many degrees does each of its interior angles measure?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.3.3.7
An inscribed angle of a circle intercepts an arc of 96°. What is the measure of the inscribed angle?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.3.3.8
Every edge of a cube is made 4 times as long. By what factor is the volume multiplied?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.3.1.4
In a 30-60-90 triangle, the shorter leg is 7. How long is the hypotenuse?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.3.3.5
In a right triangle, the side opposite angle A is 8, the side next to angle A is 15 and the hypotenuse is 17. What is tan A?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.3.4.1
Two parallel lines are cut by a transversal. Two interior angles on the same side of the transversal measure (4x + 15)° and (x + 40)°. What is x?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.3.3.1
The vertex angle of an isosceles triangle measures 44°. What is the measure of each base angle?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.3.3.3
What are the center and radius of the circle (x − 2)² + (y + 3)² = 25?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.3.4.5
What is the contrapositive of "If a figure is a square, then it is a rectangle"?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.3.2.2
What is the midpoint of the segment from (−3, 4) to (7, −2)?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.3.4.4
What is the surface area of a sphere with a radius of 5 centimeters?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.3.1.1
Data Analysis and Probability 10
A code is 2 letters followed by 2 digits. Each letter can be any of 26 and each digit any of 10, and repeats are allowed. How many codes are possible?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.4.3.1
A fair coin is flipped and a fair number cube with faces 1 to 6 is rolled. What is the probability of heads and a 6?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.4.3.5
A report shows that in months when a town sells more ice cream, more people visit its pool. The report concludes that eating ice cream makes people swim. What is wrong with the conclusion?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.4.2.2
A scatterplot of two variables has a correlation coefficient of −0.92. What does this value describe?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.4.1.3
A spinner lands on blue 21 times in 75 spins. What is the experimental probability of blue?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.4.3.2
Five test scores are 70, 75, 80, 85 and 90. A sixth score of 20 is added. Which measure of center changes more?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.4.1.2
For two events, P(A) = 0.6, P(B) = 0.3 and P(A and B) = 0.1. What is P(A or B)?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.4.3.7
Of 200 students, 80 are in band. Of those 80, 30 are also in choir. What is the probability that a student is in choir, given that the student is in band?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.4.3.9
Test scores follow a normal distribution with a mean of 70 and a standard deviation of 8. About what percent of scores lie between 62 and 78?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.4.1.4
What is the inter-quartile range of the data set 2, 5, 9, 12, 14, 18, 25?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 9.4.1.1
How this list was compiled: Outline: Mathematics Test Specifications for MCA-III, Grades 3–8 and 11, based on the Minnesota K–12 Academic Standards in Mathematics, 2007 version (Minnesota Department of Education, September 2019): the grade 11 strands, standards and benchmarks, Table 3A (items by type) and Table 10A (minimum and maximum item counts by standard, online adaptive test). The document is linked from the department's page Test Specifications, https://education.mn.gov/MDE/dse/test/spec/. That page and the document were read 2026-10-09 in the Internet Archive's copies of 25 August 2026 and 6 March 2026 (https://web.archive.org/web/2026/https://education.mn.gov/MDE/dse/test/spec/). Test facts: Procedures Manual for Minnesota Statewide Assessments 2026-27 (Minnesota Department of Education, October 2026), https://mn.mypearsonsupport.com/policies-and-procedures/, read 2026-10-09. Each question names the benchmark it practices as the test specifications print it. The answers are arithmetic and algebra on the numbers in the question, each worked a second time. Licence: Own work. Questions, answer choices and explanations were written for this site. Nothing is copied or reworded from an MCA test, an item sampler or released item of the department, or another practice test.
How it works
Unofficial practice for the grade 11 mathematics MCA, the Minnesota Comprehensive Assessment that juniors take each spring. Every question was written for this site; none is a released or sample item. Not affiliated with the Minnesota Department of Education.
Read the full guide
What the 11th grade math MCA covers
The state's test specifications sort grade 11 into three strands, and the 47 questions here keep their shares. Algebra is about half: functions, linear, quadratic and exponential models, polynomials, and equations and inequalities. Geometry and Measurement covers surface area and volume, logic, properties of figures, right-triangle trigonometry and coordinate geometry. Data Analysis and Probability covers summary statistics, the normal curve, counting and conditional probability.
Checking your work
Each answer shows its steps and names its benchmark, such as 9.2.4.7, as the test specifications print it. The test measures the 2007 standards through spring 2027.
The online test offers a formula sheet on every question. Learn what is on it before test day.
Questions and answers
How many questions are on the 11th grade math MCA?
The online test has 47 scored questions, the state's test specifications say. With field test questions, a student sees about 55, in five groups. This page has 47.
Is the 11th grade math MCA timed?
No. The department's manual says the MCAs are not timed. Schools usually plan about 1.5 hours for the grade 11 mathematics test.
Can you use a calculator on the 11th grade math MCA?
Yes, on every question. The test specifications list no non-calculator benchmarks for grade 11, and the online test has calculators built in.
Are these real MCA math questions?
No. The state's own Student Readiness Tools are linked in the box under the questions.