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Free Practice Questions for GA Milestones Math Grade 8

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Key Facts: GA Milestones Math Grade 8 Exam

Georgia Milestones Grade 8 Mathematics is the End-of-Grade (EOG) test administered by the Georgia Department of Education.

The test reports performance across four content domains: Algebra and Functions, Geometry, Numbers, Expressions, and Equations, and Statistics and Probability.

Algebra and Functions is the largest domain at about 40% of the Grade 8 mathematics test points.

Geometry makes up about 28% and Numbers, Expressions, and Equations about 20% of the Grade 8 mathematics test points.

Statistics and Probability makes up about 12% of the Grade 8 mathematics test points.

Georgia Milestones mathematics scores are reported on a scale from 275 to 755 across all grade levels.

The Proficient Learner cut score for Grade 8 mathematics is a scale score of 525.

A calculator is permitted on the calculator-allowed portion of the Grade 8 Georgia Milestones mathematics test.

Georgia Milestones results are reported in four achievement levels: Beginning, Developing, Proficient, and Distinguished Learner.

Grade 8 students work with scientific notation, linear functions and systems, the Pythagorean theorem, and bivariate data on scatter plots.

Georgia Milestones Grade 8 Math is the state's end-of-grade EOG test covering exponents and scientific notation, linear equations and systems, functions and slope, the Pythagorean theorem, volume, transformations, and bivariate data across four content domains, reported in four achievement levels.

Sample GA Milestones Math Grade 8 Practice Questions

Try these sample questions to review concepts for the GA Milestones Math Grade 8 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 irrational?
A.0.75
B.√49
C.√10
D.3/8
Explanation: An irrational number cannot be written as a ratio of two integers and its decimal neither terminates nor repeats. √10 is irrational because 10 is not a perfect square, so √10 ≈ 3.162... never terminates or repeats.
2Between which two consecutive whole numbers does √45 lie?
A.5 and 6
B.6 and 7
C.7 and 8
D.4 and 5
Explanation: Find perfect squares around 45. Since 6² = 36 and 7² = 49, and 36 < 45 < 49, √45 lies between 6 and 7. (√45 ≈ 6.7.)
3Simplify the expression 3² · 3⁴ using the laws of exponents.
A.3⁶
B.3⁸
C.9⁶
D.3²
Explanation: When multiplying powers with the same base, add the exponents: 3² · 3⁴ = 3^(2+4) = 3⁶. The base stays the same.
4What is the value of 5⁻²?
A.-25
B.-10
C.1/25
D.1/10
Explanation: A negative exponent means take the reciprocal of the positive power: 5⁻² = 1/5² = 1/25. A negative exponent does not make the result negative.
5Simplify (2⁴)³ using the laws of exponents.
A.2⁷
B.2¹²
C.2⁶⁴
D.6¹²
Explanation: When raising a power to a power, multiply the exponents: (2⁴)³ = 2^(4·3) = 2¹². The base stays the same.
6Write 7,200,000 in scientific notation.
A.7.2 × 10⁶
B.72 × 10⁵
C.7.2 × 10⁷
D.0.72 × 10⁷
Explanation: Scientific notation requires a number between 1 and 10 times a power of 10. Move the decimal 6 places left to get 7.2, so 7,200,000 = 7.2 × 10⁶.
7Express 0.00045 in scientific notation.
A.4.5 × 10⁴
B.4.5 × 10⁻⁴
C.45 × 10⁻⁵
D.4.5 × 10⁻³
Explanation: For a number less than 1, the exponent is negative. Move the decimal 4 places right to get 4.5, so 0.00045 = 4.5 × 10⁻⁴.
8Multiply (3 × 10⁵)(2 × 10³) and write the result in scientific notation.
A.6 × 10⁸
B.6 × 10¹⁵
C.5 × 10⁸
D.6 × 10²
Explanation: Multiply the coefficients and add the exponents: (3 × 2) × 10^(5+3) = 6 × 10⁸. Since 6 is between 1 and 10, no further adjustment is needed.
9About how many times larger is 8 × 10⁹ than 2 × 10⁶?
A.4 times
B.4,000 times
C.16 times
D.400 times
Explanation: Divide the values: (8 × 10⁹) ÷ (2 × 10⁶) = (8 ÷ 2) × 10^(9-6) = 4 × 10³ = 4,000. So the first number is 4,000 times larger.
10What is the value of the cube root, ∛64?
A.8
B.4
C.16
D.32
Explanation: The cube root of 64 is the number that, when multiplied by itself three times, equals 64. Since 4 × 4 × 4 = 64, ∛64 = 4.

About the GA Milestones Math Grade 8 Exam

Georgia Milestones Grade 8 Mathematics is the End-of-Grade (EOG) assessment in the Georgia Milestones Assessment System, given to eighth graders near the end of the school year to measure how well they have learned Georgia's K-12 mathematics standards. The test reports performance across four content domains: Algebra and Functions; Geometry; Numbers, Expressions, and Equations; and Statistics and Probability. Grade 8 emphasizes the laws of integer exponents and scientific notation, solving multi-step linear equations and systems, the concept of a function, slope and linear relationships, the Pythagorean theorem and coordinate distance, the volume of cylinders, cones, and spheres, transformations and similarity, and modeling bivariate data with scatter plots and lines of best fit. The assessment is delivered online or on paper and uses selected-response (multiple-choice), multiple-select, and technology-enhanced item types; a calculator is allowed on the calculator-permitted portion at Grade 8. Results are reported in four achievement levels, with Proficient Learner indicating students have met grade-level expectations.

Exam sponsor: Georgia Department of Education (Georgia Milestones Assessment System, delivered by Cognia). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Questions

100 questions

Time Limit

About 85 to 105 minutes total, split into two sections with a break between them; the assessment is not strictly timed and students may take additional time as needed.

Passing Score

Reported across four achievement levels on a 275 to 755 scale: Beginning, Developing, Proficient, and Distinguished Learner. The Proficient Learner cut score for Grade 8 mathematics is 525, showing the student has met grade-level expectations.

Exam / Certification Fees

Free to students and families; the Georgia Milestones EOG is a state-funded assessment administered by Georgia 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.

about 40%

Algebra and Functions

Slope and slope-intercept form, proportional relationships, defining and analyzing functions, comparing functions, qualitative graphs, systems of two linear equations, and similar triangles explaining constant slope.

about 28%

Geometry

Pythagorean theorem and its converse, coordinate distance, volume of cylinders, cones and spheres, congruence and similarity through transformations, and angle relationships with parallel lines and triangles.

about 20%

Numbers, Expressions, and Equations

Irrational versus rational numbers, laws of integer exponents, scientific notation, square and cube roots, equivalent expressions, and multi-step linear equations with one, none, or infinitely many solutions.

about 12%

Statistics and Probability

Scatter plots and patterns of association, clusters and outliers, lines of best fit, interpreting slope and intercept in context, and two-way frequency tables.

Preparing for the GA Milestones Math Grade 8 Exam

What You Need to Know

  • Passing score: Reported across four achievement levels on a 275 to 755 scale: Beginning, Developing, Proficient, and Distinguished Learner. The Proficient Learner cut score for Grade 8 mathematics is 525, showing the student has met grade-level expectations.
  • Exam length: 100 questions
  • Time limit: About 85 to 105 minutes total, split into two sections with a break between them; the assessment is not strictly timed and students may take additional time as needed.
  • Exam / certification fees: Free to students and families; the Georgia Milestones EOG is a state-funded assessment administered by Georgia 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

GA Milestones Math Grade 8: Suggested Study Strategy

1Master the laws of integer exponents and scientific notation, including multiplying, dividing, and comparing very large and very small numbers.
2Practice solving multi-step linear equations and systems, and learn to recognize when an equation has one, no, or infinitely many solutions.
3Memorize the volume formulas for cylinders, cones, and spheres, and apply the Pythagorean theorem to triangles and distances on the coordinate plane.
4Learn to find slope from tables, graphs, points, and written descriptions, and write equations in slope-intercept form (y = mx + b).
5Understand transformations (translations, reflections, rotations, dilations) and how they show congruence and similarity.
6Use the released Grade 8 Georgia Milestones mathematics sample items and study/resource guide to practice technology-enhanced item types.

Frequently Asked Questions

What is the Georgia Milestones Grade 8 Mathematics assessment?

It is the End-of-Grade (EOG) mathematics test in the Georgia Milestones Assessment System. Eighth graders take it near the end of the school year to show how well they have learned Georgia's grade 8 mathematics standards.

What math topics are on the Grade 8 Georgia Milestones test?

The test covers the laws of exponents and scientific notation, linear equations and systems, functions and slope, the Pythagorean theorem, volume of cylinders, cones and spheres, transformations and similarity, and scatter plots with lines of best fit.

How is the Grade 8 Georgia Milestones Math test organized?

Items are grouped into four content domains: Algebra and Functions (about 40%), Geometry (about 28%), Numbers, Expressions, and Equations (about 20%), and Statistics and Probability (about 12%). The test is given in two sections.

How many questions are on the Grade 8 Georgia Milestones Math test?

The assessment is built to roughly 50 to 60 total points, made up mostly of selected-response (multiple-choice) items plus multiple-select and technology-enhanced items, delivered across two sections.

Can students use a calculator on the Grade 8 Math test?

Yes. Calculators are allowed on the calculator-permitted portion of the Grade 8 mathematics test, and an online calculator is provided within the testing platform for those items.

How is the Grade 8 Georgia Milestones Math test scored?

Scores are reported on a 275 to 755 scale in four achievement levels: Beginning, Developing, Proficient, and Distinguished Learner. The Proficient Learner cut score for Grade 8 mathematics is 525.