100+ Free MTYA Grade 8 Math Practice Questions

Prepare for the Maine Through Year Assessment Mathematics — Grade 8 exam with instant access — no signup required.

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Sample MTYA Grade 8 Math Practice Questions

Try these sample questions to test your MTYA Grade 8 Math 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.\(\sqrt{49}\)

B.\(0.\bar{45}\)

C.\(\sqrt{30}\)

D.\(-\frac{14}{5}\)

Explanation: \(\sqrt{30}\) is irrational because 30 is not a perfect square, so its square root cannot be expressed as a ratio of two integers and forms a non-terminating, non-repeating decimal.

2What is the repeating decimal \(0.\bar{6}\) written as a simplified fraction?

A.\(\frac{2}{3}\)

B.\(\frac{6}{10}\)

C.\(\frac{3}{5}\)

D.\(\frac{6}{99}\)

Explanation: Let \(x = 0.\bar{6}\). Then \(10x = 6.\bar{6}\). Subtracting the equations gives \(9x = 6\), so \(x = \frac{6}{9} = \frac{2}{3}\).

3Which value below represents a rational number?

A.\(\pi\)

B.\(\sqrt{18}\)

C.\(\sqrt{81}\)

D.\(\sqrt{5}\)

Explanation: \(\sqrt{81} = 9\), which is an integer. All integers are rational numbers because they can be written as fractions like \(\frac{9}{1}\).

4Between which two consecutive integers does \(\sqrt{50}\) lie?

A.5 and 6

B.6 and 7

C.7 and 8

D.8 and 9

Explanation: Since \(7^2 = 49\) and \(8^2 = 64\), and 50 is between 49 and 64, \(\sqrt{50}\) lies between 7 and 8 (approx. 7.07).

5To the nearest tenth, what is the best approximation of \(\sqrt{20}\)?

A.4.2

B.4.5

C.4.7

D.5.0

Explanation: Since \(4^2 = 16\) and \(5^2 = 25\), \(\sqrt{20}\) lies between 4 and 5. Because \(\sqrt{20} \approx 4.472\), it rounds to 4.5; checking gives \(4.47^2 \approx 19.98\).

6Between which two consecutive integers does \(\sqrt[3]{70}\) lie?

A.3 and 4

B.4 and 5

C.5 and 6

D.8 and 9

Explanation: Since \(4^3 = 64\) and \(5^3 = 125\), 70 is between 64 and 125. Therefore, \(\sqrt[3]{70}\) lies between 4 and 5.

7The population of a city is 480,000. What is this number expressed in scientific notation?

A.\(4.8 \times 10^4\)

B.\(4.8 \times 10^5\)

C.\(48 \times 10^4\)

D.\(0.48 \times 10^6\)

Explanation: To write 480,000 in scientific notation, place the decimal point after the first non-zero digit to get 4.8. Moving the decimal point 5 places to the left gives \(4.8 \times 10^5\).

8The diameter of a microscopic cell structure is \(3.2 \times 10^{-4}\) meters. What is this length written in standard decimal notation?

A.0.000032

B.0.00032

C.0.0032

D.32,000

Explanation: Multiplying by \(10^{-4}\) shifts the decimal point 4 places to the left, yielding 0.00032 meters.

9Which of the following expressions represents the largest quantity?

A.\(7.5 \times 10^{-3}\)

B.\(2.1 \times 10^{-2}\)

C.\(9.8 \times 10^{-3}\)

D.\(1.5 \times 10^{-4}\)

Explanation: Compare the powers of 10 first. \(10^{-2}\) is greater than \(10^{-3}\) and \(10^{-4}\). \(2.1 \times 10^{-2} = 0.021\), which is larger than \(0.0075\), \(0.0098\), and \(0.00015\).

10Which whole number is closest to the value of \(3\sqrt{18} + 2\)?

A.12

B.15

C.18

D.20

Explanation: \(\sqrt{18}\) is approximately 4.242. Multiplying by 3 gives \(3 \times 4.242 \approx 12.726\). Adding 2 yields \(14.726\), which rounds to the nearest whole number 15.

About the MTYA Grade 8 Math Exam

Statewide assessment for Maine Grade 8 students measuring pre-algebra and geometry concepts including linear equations, functions, Pythagorean theorem, and transformations. This practice bank provides an English-language MCQ study adaptation.

Assessment

Computer-adaptive mathematics assessment covering four official reporting domains through seven official item types.

Time Limit

Untimed; testing may be split into multiple sessions.

Passing Score

Not a pass/fail exam; reported across four state achievement levels.

Exam Fee

No individual candidate fee; administered statewide in Maine public schools. (Maine Department of Education (MDOE))

MTYA Grade 8 Math Exam Content Outline

48–53%

Operations and Algebraic Thinking

Official spring blueprint range, including expressions, equations, and functions.

13–15%

The Real and Complex Number Systems

Official spring blueprint range for number-system content.

21–23%

Geometry

Official spring blueprint range.

13–15%

Statistics and Probability

Official spring blueprint range.

How to Pass the MTYA Grade 8 Math Exam

What You Need to Know

Passing score: Not a pass/fail exam; reported across four state achievement levels.
Assessment: Computer-adaptive mathematics assessment covering four official reporting domains through seven official item types.
Time limit: Untimed; testing may be split into multiple sessions.
Exam fee: No individual candidate fee; administered statewide in Maine public schools.

Keys to Passing

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

MTYA Grade 8 Math Study Tips from Top Performers

1Understand slope as rate of change.

2Apply the Pythagorean Theorem in 2D and 3D.

3Solve systems of linear equations algebraically and graphically.

Frequently Asked Questions

What is the MTYA Grade 8 Math assessment?

It is Maine's statewide computer-adaptive assessment for Grade 8 mathematics, administered in partnership with NWEA.

Is this practice bank the official test format?

No. It is an English-language four-option MCQ study adaptation, not a simulation of the official adaptive assessment or its multi-select, composite, gap-match, graphic gap-match, hot-text, and numeric-entry items.

100+ Free MTYA Grade 8 Math Practice Questions

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