100+ Free MCAP Grade 8 Math Practice Questions

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Sample MCAP Grade 8 Math Practice Questions

Try these sample questions to test your MCAP 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.\(\sqrt{18}\)

B.\(\frac{7}{8}\)

C.\(\sqrt{49}\)

D.\(0.45\)

Explanation: \(\sqrt{18} = 3\sqrt{2}\). Since 18 is not a perfect square, its square root is an irrational number with a non-terminating, non-repeating decimal expansion.

2Express the repeating decimal \(0.\bar{6}\) as a fraction in simplest form.

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

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

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

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

Explanation: Let \(x = 0.666...\). Then \(10x = 6.666...\). Subtracting yields \(9x = 6\), so \(x = \frac{6}{9} = \frac{2}{3}\).

3Simplify the numerical expression \(4^3 \times 4^{-5}\).

A.\(\frac{1}{16}\)

B.\(\frac{1}{64}\)

C.\(-16\)

D.\(16\)

Explanation: Using the product rule for exponents with the same base, \(4^3 \times 4^{-5} = 4^{3 + (-5)} = 4^{-2} = \frac{1}{4^2} = \frac{1}{16}\).

4What is the value of \(\sqrt[3]{125} + \sqrt{64}\)?

A.\(13\)

B.\(11\)

C.\(15\)

D.\(21\)

Explanation: \(\sqrt[3]{125} = 5\) because \(5^3 = 125\), and \(\sqrt{64} = 8\) because \(8^2 = 64\). Adding them together gives \(5 + 8 = 13\).

5Write \(0.00045\) in standard scientific notation.

A.\(4.5 \times 10^{-4}\)

B.\(4.5 \times 10^{-5}\)

C.\(45 \times 10^{-5}\)

D.\(4.5 \times 10^4\)

Explanation: Move the decimal point 4 places to the right to obtain a coefficient between 1 and 10 (\(4.5\)). Moving right indicates a negative exponent: \(4.5 \times 10^{-4}\).

6Between which two consecutive integers does \(\sqrt{70}\) lie on a number line?

A.\(8\) and \(9\)

B.\(7\) and \(8\)

C.\(9\) and \(10\)

D.\(6\) and \(7\)

Explanation: Identify the bounding perfect squares: \(64 < 70 < 81\). Taking square roots gives \(\sqrt{64} < \sqrt{70} < \sqrt{81}\), which simplifies to \(8 < \sqrt{70} < 9\).

7What is the repeating decimal \(0.\bar{27}\) expressed as a fraction in lowest terms?

A.\(\frac{3}{11}\)

B.\(\frac{27}{100}\)

C.\(\frac{9}{33}\)

D.\(\frac{27}{90}\)

Explanation: Let \(x = 0.\bar{27}\). Then \(100x = 27.\bar{27}\). Subtracting \(x\) gives \(99x = 27\), so \(x = \frac{27}{99}\). Dividing numerator and denominator by 9 simplifies to \(\frac{3}{11}\).

8Evaluate the expression \(\frac{(2^3)^{-2} \cdot 2^8}{2^4}\).

A.\(\frac{1}{4}\)

B.\(\frac{1}{2}\)

C.\(1\)

D.\(4\)

Explanation: Simplify numerator first: \((2^3)^{-2} = 2^{-6}\), so numerator is \(2^{-6} \cdot 2^8 = 2^2\). Divide by denominator: \(\frac{2^2}{2^4} = 2^{2-4} = 2^{-2} = \frac{1}{4}\).

9Evaluate \((3.2 \times 10^5) + (4.8 \times 10^4)\) and write the result in scientific notation.

A.\(3.68 \times 10^5\)

B.\(8.0 \times 10^9\)

C.\(3.68 \times 10^4\)

D.\(8.0 \times 10^5\)

Explanation: Convert to the same power of 10: \(4.8 \times 10^4 = 0.48 \times 10^5\). Add coefficients: \((3.2 + 0.48) \times 10^5 = 3.68 \times 10^5\).

10Find the quotient of \(\frac{7.2 \times 10^8}{1.8 \times 10^{-3}}\), expressed in scientific notation.

A.\(4.0 \times 10^{11}\)

B.\(4.0 \times 10^5\)

C.\(4.0 \times 10^{-24}\)

D.\(5.4 \times 10^{11}\)

Explanation: Divide coefficients: \(\frac{7.2}{1.8} = 4.0\). Subtract exponents: \(8 - (-3) = 8 + 3 = 11\). Thus, the answer is \(4.0 \times 10^{11}\).

About the MCAP Grade 8 Math Exam

The Grade 8 assessment is available in English and Spanish. This is an English-language MCQ adaptation, not an official translation or format simulation; it does not replace equation entry, modeling, or constructed reasoning.

Assessment

Four sections using selected-response, equation-entry, constructed-response, and technology-enhanced tasks.

Time Limit

Four 40-minute sections (160 minutes total)

Passing Score

Not a pass/fail exam; results are reported in performance levels.

Exam Fee

No individual candidate fee; administered through eligible Maryland schools. (Maryland State Department of Education (MSDE))

MCAP Grade 8 Math Exam Content Outline

2 operational items

The Number System

Irrational numbers and decimal expansions.

10 operational items

Expressions and Equations

Exponents, equations, systems, and linear relationships.

5 operational items

Functions

Function concepts, comparison, and modeling.

4 operational items

Geometry

Transformations, similarity, Pythagorean theorem, and volume.

2 operational items

Statistics and Probability

Bivariate data and association.

6 items each

Mathematical Reasoning and Modeling

Reasoning and application/modeling across content domains.

How to Pass the MCAP Grade 8 Math Exam

What You Need to Know

Passing score: Not a pass/fail exam; results are reported in performance levels.
Assessment: Four sections using selected-response, equation-entry, constructed-response, and technology-enhanced tasks.
Time limit: Four 40-minute sections (160 minutes total)
Exam fee: No individual candidate fee; administered through eligible Maryland 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

MCAP Grade 8 Math Study Tips from Top Performers

1Show reasoning for multi-step problems.

2Practice equation-entry and modeling tasks.

3Review the official blueprint.

Frequently Asked Questions

How long is it?

Four 40-minute sections in the Spring 2026 manual.

Is there one fixed question count?

No; computer-adaptive forms vary and field-test items may be included.

What languages are official?

English and Spanish versions are available; this site keeps one English-language MCQ bank.

100+ Free MCAP Grade 8 Math Practice Questions

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