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Sample MTYA Grade 8 Math Practice Questions

Try these sample questions to review concepts for the MTYA Grade 8 Math exam. 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.

Exam sponsor: Maine Department of Education (MDOE). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

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 / Certification Fees

No individual candidate fee; administered statewide in Maine public schools.

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

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.

Preparing for 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 / certification fees: No individual candidate fee; administered statewide in Maine public schools. Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

MTYA Grade 8 Math: Suggested Study Strategy

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.