21 is what percent of 84?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.1.3.3
A pet shelter has 9 cats and 15 dogs. What is the ratio of cats to all the animals, in simplest form?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.1.2.1
A pump fills 84 liters in 7 minutes. What is its rate in liters per minute?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.1.2.3
A recipe uses 5 cups of oats for every 2 cups of honey. How many cups of oats go with 7 cups of honey?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.1.2.4
A rope is 8 3/4 yards long. It is cut into pieces that are each 1 1/4 yards long. How many pieces are there?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.1.3.4
Show all 42 questions (37 more)
Number & Operation, continued
A trail mix is 2 parts raisins to 3 parts nuts. What percent of the mix is raisins?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.1.2.2
On a number line, which number is exactly halfway between 1/2 and 1?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.1.1.1
Six pencils cost $1.50. At that rate, what do 15 pencils cost?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.1.2.4
What is 3 1/3 × 1 4/5?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.1.3.1
What is 5.2 × 0.35?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.1.3.1
What is 9/16 written as a percent?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.1.1.4
What is 150% of 64?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.1.3.3
What is the least common multiple of 14 and 21?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.1.1.6
Which is greatest: 5/8, 0.6, 58% or 3/5?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.1.1.2
Which is the prime factorization of 360?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.1.1.5
Which mixed number equals 23/6?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.1.1.7
Algebra 11
A plumber charges $45 an hour plus a $30 trip fee. Which expression gives the cost in dollars of a job that takes h hours?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.2.1.1
A rectangle has an area of 91 square meters and a width of 6.5 meters. Its length L makes 6.5L = 91 true. What is L?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.2.3.2
A table pairs x = 1, 2, 3, 4 with y = 4, 7, 10, 13. Which rule fits every pair?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.2.1.2
Jo has $50 and saves $12 each week. Which equation can be solved to find w, the number of weeks until she has $170?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.2.3.1
Mia has $20. She buys n pens at $3 each and has money left over. Which inequality shows this?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.2.3.1
What is 4 + 6 × (9 − 4) ÷ 2?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.2.2.1
What is the value of 6n − 4 when n = 7?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.2.1.1
What value of x makes 0.4x = 6 true?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.2.3.2
What value of x makes x − 2/5 = 3/10 true?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.2.3.2
Which expression is equivalent to 7(20 + 4)?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.2.2.1
Which point is on the graph of y = 2x + 5?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.2.1.2
Geometry & Measurement 9
A box is 6 inches long, 4 inches wide and 3 inches high. What is its surface area?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.3.1.1
A movie lasts 135 minutes. How long is that in hours?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.3.3.1
A parallelogram has a base of 15 cm, a slanted side of 9 cm and a height of 6 cm. What is its area?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.3.1.2
A rectangular prism is 8 cm long, 5 cm wide and 3.5 cm high. What is its volume?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.3.1.1
A trapezoid has parallel sides of 11 m and 17 m and a height of 5 m. What is its area?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.3.1.2
A triangle has two angles of equal measure and a third angle of 40°. What is the measure of each of the equal angles?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.3.2.2
One gallon is 4 quarts. A jug holds 2.5 gallons. How many quarts does it hold?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.3.3.1
Two straight lines cross. One of the four angles they form measures 65°. What is the measure of an angle adjacent to it?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.3.2.1
What is the sum of the interior angles of a polygon with 7 sides?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.3.2.3
Data Analysis & Probability 6
A fair coin is flipped 50 times and lands heads 29 times. Which statement is true?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.4.1.3
A lunch is one sandwich, one fruit and one drink. There are 4 sandwiches, 3 fruits and 2 drinks. How many different lunches are possible?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.4.1.1
A number cube with faces 1 to 6 is rolled once. What is the probability of rolling a number greater than 2?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.4.1.2
A spinner is spun 50 times and lands on blue 18 times. Based on these results, about how many times will it land on blue in 300 spins?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.4.1.4
A spinner with 3 equal sections is spun and a number cube with faces 1 to 6 is rolled. How many outcomes are in the sample space?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.4.1.1
Each letter of the word MINNESOTA is written on its own card. One card is drawn at random. What is the probability that it shows an N?Minnesota Department of Education, Mathematics Test Specifications for MCA-III, Grades 3–8 and 11 (September 2019), benchmark 6.4.1.2
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 6 strands, standards, benchmarks and item specifications, Table 2A (items per strand), Table 3A (items by type) and Table 7A (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 2026-10-10 in the Internet Archive's copies (https://web.archive.org/web/2026/https://education.mn.gov/MDE/dse/test/spec/: the page as saved 25 August 2026, the document as saved 6 March 2026). Test facts: Procedures Manual for Minnesota Statewide Assessments 2026-27 (Minnesota Department of Education, October 2026), https://mn.mypearsonsupport.com/policies-and-procedures/, read 2026-10-10. Each question names the benchmark it practices as the test specifications print it. The answers are arithmetic 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, a Student Readiness Tool or another practice test.
How it works
Free, unofficial practice for the grade 6 mathematics MCA, the Minnesota Comprehensive Assessment. All 42 questions were written for this site from the state's test specifications; none is a state item. Not affiliated with the Minnesota Department of Education.
Read the full guide
What the 6th grade math MCA covers
Minnesota's test specifications set a range of questions for each of four strands, and the 42 here sit inside every range. Number & Operation has 16: fractions, decimals and percents as one idea, prime factors, ratios, unit rates, and multiplying and dividing fractions and decimals. Algebra has 11: rules, tables, order of operations, equations and inequalities. Geometry & Measurement has 9: area, surface area, volume, angles and unit conversions. Data Analysis & Probability has 6.
Under each answer
The steps are shown, with the benchmark the question practices, such as 6.1.2.3, numbered as the state numbers it. The state's manual gives spring 2027 as the last test on these 2007 standards.
In grade 6 the data strand is all probability: 6 to 8 of the 42 scored questions.
Questions and answers
Is there a free MCA practice test for 6th grade math?
Yes, this page: 42 questions, free, with no sign-up. It is unofficial. Minnesota's own Student Readiness Tools show how the online test works, and the box under the questions links to them.
How many questions are on the 6th grade math MCA?
42 scored questions, by the state's test specifications: 32 to 40 multiple choice and 2 to 10 technology-enhanced. Counting field test questions, a student answers about 50, in four groups.
Is the 6th grade math MCA timed?
No. The state's procedures manual says the MCAs are not timed, and it suggests that schools plan 1.5 to 2 hours for a mathematics test in grades 3 to 8.
Can you use a calculator on the 6th grade math MCA?
In some groups of questions. The manual says calculator and non-calculator items are kept in separate groups in grades 3 to 8. In grades 5 to 8 an online formula sheet is there for every question.