100+ Free MCA Math Grade 8 Practice Questions

Prepare for the Minnesota Comprehensive Assessment (MCA-III) Mathematics Grade 8 exam with instant access — no signup required.

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Statewide proficiency typically ranges between 45% and 55% for Grade 8 Mathematics. Pass Rate

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Key Facts: MCA Math Grade 8 Exam

MCA Grade 8 Math is Minnesota's statewide spring assessment measuring 8th-grade math standards (42 operational items, untimed, ~1.5-2.5 hours), scored on a 4-level scale where Meets Standards (850+) and above represent proficiency.

Sample MCA Math Grade 8 Practice Questions

Try these sample questions to test your MCA Math Grade 8 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Which of the following numbers is an irrational number?

A.√49

B.0.75

C.√11

D.2/3

Explanation: An irrational number cannot be expressed as a ratio of two integers and has a non-terminating, non-repeating decimal expansion. Since 11 is not a perfect square, √11 is an irrational number.

2Between which two consecutive whole numbers is √58 located?

A.6 and 7

B.7 and 8

C.8 and 9

D.9 and 10

Explanation: To estimate √58, find the nearest perfect squares below and above 58. Since 7² = 49 and 8² = 64, and 49 < 58 < 64, √58 lies between 7 and 8.

3What is 4.2 × 10⁵ written in standard decimal notation?

A.42,000

B.420,000

C.4,200,000

D.0.000042

Explanation: Multiplying by 10⁵ shifts the decimal point 5 places to the right. Shifting the decimal point in 4.2 five places right yields 420,000.

4Express the number 0.000063 in scientific notation.

A.6.3 × 10⁻⁴

B.6.3 × 10⁻⁵

C.6.3 × 10⁵

D.63 × 10⁻⁶

Explanation: To write 0.000063 in scientific notation, move the decimal point 5 places to the right to get 6.3. Since the original number is less than 1, the exponent is negative, giving 6.3 × 10⁻⁵.

5What is the value of ∛125?

A.5

B.15

C.25

D.62.5

Explanation: The cube root of 125 is the number that equals 125 when multiplied by itself three times. Since 5 × 5 × 5 = 125, ∛125 = 5.

6Evaluate (3 × 10⁴) × (2.5 × 10³) and express the result in scientific notation.

A.7.5 × 10¹²

B.7.5 × 10⁷

C.5.5 × 10⁷

D.7.5 × 10¹

Explanation: Multiply the coefficients and add the exponents of 10: (3 × 2.5) × 10⁴⁺³ = 7.5 × 10⁷.

7Which fraction is equivalent to the repeating decimal 0.444... (0.4̄)?

A.4/10

B.4/9

C.4/99

D.2/5

Explanation: Let x = 0.444... Then 10x = 4.444... Subtracting the two equations gives 9x = 4, so x = 4/9.

8A bacterium has a length of 8 × 10⁻⁶ meter. A virus has a length of 2 × 10⁻⁸ meter. How many times longer is the bacterium than the virus?

A.4 times

B.40 times

C.400 times

D.4,000 times

Explanation: Divide the bacterium length by the virus length: (8 × 10⁻⁶) / (2 × 10⁻⁸) = (8/2) × 10⁻⁶⁻⁽⁻⁸⁾ = 4 × 10² = 400 times.

9Solve the equation x² = 196. What are all real solutions for x?

A.x = 14 only

B.x = -14 only

C.x = 14 and x = -14

D.x = 98 and x = -98

Explanation: Taking the square root of both sides of x² = 196 gives x = ±√196 = ±14. Both 14 and -14 satisfy the equation since (14)² = 196 and (-14)² = 196.

10What is the best estimate of √80 to the nearest tenth?

A.8.5

B.8.9

C.9.1

D.9.5

Explanation: Since 8.9² = 79.21 and 9.0² = 81.0, 80 is very close to 81. √80 ≈ 8.944, which rounds to 8.9 to the nearest tenth.

About the MCA Math Grade 8 Exam

The Minnesota Comprehensive Assessment (MCA-III) Grade 8 Mathematics is Minnesota's required spring statewide assessment. It measures student achievement on the Minnesota K-12 Academic Standards in Mathematics across four main strands: Number & Operation (~14-19%), Algebra (~43-69%), Geometry & Measurement (~14-19%), and Data Analysis & Probability (~14-17%). OpenExamPrep provides 100 fully authored multiple-choice practice questions with detailed explanations to help students prepare for the MCA Grade 8 Math exam.

Assessment

Computer-adaptive online test covering Number & Operation (6-8 items, ~14-19%), Algebra (18-29 items, ~43-69%), Geometry & Measurement (6-8 items, ~14-19%), and Data Analysis & Probability (6-7 items, ~14-17%). The first segment is non-calculator; later segments allow the online graphing calculator, and an official formula sheet is provided.

Time Limit

Untimed assessment; students work at their own pace over one or more sessions (MDE estimated testing time: 1.5 to 2.5 hours total).

Passing Score

Grade 8 scale scores range from 801 to 899 (first digit indicates the grade). Meets Standards begins at 850 and Partially Meets Standards at 840; the Exceeds Standards cut score is set by the commissioner and varies by grade and subject.

Exam Fee

$0 (state-funded) (Minnesota Department of Education (MDE))

MCA Math Grade 8 Exam Content Outline

14-19%

Number & Operation

Real number system, estimating square/cube roots, scientific notation, and power properties.

43-69%

Algebra

Linear equations, linear functions, slope-intercept form, systems of equations, exponent rules, and rate of change.

14-19%

Geometry & Measurement

Pythagorean Theorem, distance formula, coordinate transformations, transversal angles, and volumes of 3D solids.

14-17%

Data Analysis & Probability

Scatter plots, lines of best fit, two-way tables, IQR, box plots, and theoretical/experimental compound probability.

How to Pass the MCA Math Grade 8 Exam

What You Need to Know

Passing score: Grade 8 scale scores range from 801 to 899 (first digit indicates the grade). Meets Standards begins at 850 and Partially Meets Standards at 840; the Exceeds Standards cut score is set by the commissioner and varies by grade and subject.
Assessment: Computer-adaptive online test covering Number & Operation (6-8 items, ~14-19%), Algebra (18-29 items, ~43-69%), Geometry & Measurement (6-8 items, ~14-19%), and Data Analysis & Probability (6-7 items, ~14-17%). The first segment is non-calculator; later segments allow the online graphing calculator, and an official formula sheet is provided.
Time limit: Untimed assessment; students work at their own pace over one or more sessions (MDE estimated testing time: 1.5 to 2.5 hours total).
Exam fee: $0 (state-funded)

Keys to Passing

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

MCA Math Grade 8 Study Tips from Top Performers

1Focus heavily on linear functions and solving multi-step linear equations, as Algebra makes up nearly half of the exam.

2Master the Pythagorean Theorem and distance formula for right triangles on and off the coordinate grid.

3Practice converting between standard numbers and scientific notation, including operations with powers of 10.

4Review scatter plots and two-way tables to confidently analyze bivariate data and trend lines.

5Read all explanation rationales to understand common calculation errors and algebraic misconceptions.

Frequently Asked Questions

What is the MCA Grade 8 Mathematics exam?

It is Minnesota's state-required spring mathematics assessment for 8th grade students, measuring progress on Minnesota Academic Standards.

Are calculators allowed on the MCA Grade 8 Math exam?

An online graphing calculator (TI or Desmos) is available for calculator-allowed items, while the first segment of the test is non-calculator. An official formula sheet is also provided.

How long does the MCA Grade 8 Math test take?

The test is untimed, but most students complete it in two sessions totaling approximately 1.5 to 2.5 hours.

How many questions are on the actual test?

The online adaptive test form contains 42 operational questions (32-40 multiple-choice and 2-10 technology-enhanced items), plus embedded unscored field-test items.

What score is needed to pass?

Students scoring in Level 3 (Meets Standards) or Level 4 (Exceeds Standards) are considered proficient.

Is there any fee to take the test?

No. The MCA is fully funded by the state of Minnesota for all public school students.

100+ Free MCA Math Grade 8 Practice Questions

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