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100+ Free AK STAR Math Grade 8 Practice Questions

Prepare for the Alaska System of Academic Readiness (AK STAR) Mathematics, Grade 8 exam with instant access — no signup required.

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Key Facts: AK STAR Math Grade 8 Exam

AK STAR Grade 8 Math is Alaska's spring adaptive statewide mathematics assessment (~66 items, ~180 minutes estimated), scored Needs Support to Advanced and linked to MAP Growth.

Sample AK STAR Math Grade 8 Practice Questions

Try these sample questions to test your AK STAR 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 irrational?
A.√81
B.0.125
C.√7
D.3/5
Explanation: An irrational number cannot be written as a ratio of integers and has a non-terminating, non-repeating decimal. √7 is irrational because 7 is not a perfect square.
2Between which two consecutive whole numbers does √40 lie?
A.5 and 6
B.6 and 7
C.7 and 8
D.4 and 5
Explanation: Because 6² = 36 and 7² = 49, and 36 < 40 < 49, √40 is between 6 and 7 (about 6.32).
3Which statement correctly compares √50 and 7.2?
A.√50 is greater than 7.2
B.√50 equals 7.2
C.√50 is less than 7.2
D.√50 cannot be compared without a calculator
Explanation: 7² = 49, so √50 is slightly more than 7 (about 7.07). Since 7.07 < 7.2, √50 is less than 7.2. Also 7.2² = 51.84 > 50.
4The repeating decimal 0.666... is equal to which fraction?
A.2/3
B.6/10
C.66/100
D.3/5
Explanation: For a single repeating digit d, 0.ddd... = d/9. So 0.666... = 6/9 = 2/3.
5Which expression represents a rational number?
A.√2 + √8
B.√12
C.√36 + √49
D.π − 2
Explanation: √36 + √49 = 6 + 7 = 13, a whole number, which is rational.
6Approximate √75 to the nearest tenth.
A.8.7
B.8.6
C.8.5
D.9.0
Explanation: 8.6² = 73.96 and 8.7² = 75.69. √75 ≈ 8.66, which rounds to 8.7 to the nearest tenth.
7Order the numbers from least to greatest: √20, 4.3, π.
A.π, 4.3, √20
B.√20, π, 4.3
C.4.3, π, √20
D.π, √20, 4.3
Explanation: π ≈ 3.14, 4.3 = 4.30, and √20 ≈ 4.47 (since 4.4² = 19.36 and 4.5² = 20.25). Least to greatest: π, 4.3, √20.
8Which number is between √10 and √20 on a number line?
A.3
B.4
C.5
D.6
Explanation: √10 ≈ 3.16 and √20 ≈ 4.47. The whole number 4 lies between them.
9Simplify √72 completely.
A.6√2
B.36√2
C.8√3
D.12√6
Explanation: √72 = √(36 · 2) = √36 · √2 = 6√2.
10What is the cube root of −125?
A.−5
B.5
C.−25
D.25
Explanation: The cube root of −125 is the number that cubes to −125. (−5) × (−5) × (−5) = −125, so ∛(−125) = −5.

About the AK STAR Math Grade 8 Exam

AK STAR Grade 8 Mathematics is Alaska's spring statewide summative math assessment for grade 8, administered by DEED with NWEA. It measures Alaska Mathematics Standards with an item-adaptive design that produces an on-grade achievement level and MAP Growth RIT scores by instructional area. Basic and scientific calculators available on many items in grades 6–8; graphing not available. OpenExamPrep questions are free English MCQ study aids with genuine computation items; they do not replace official practice tests, adaptive delivery, or classroom instruction.

Questions

66 scored questions

Time Limit

About 180 minutes estimated; not strictly timed; may be administered in multiple school-day sessions.

Passing Score

Reported in four achievement levels: Needs Support, Approaching Proficient, Proficient, and Advanced (Alaska DEED AK STAR / Science score reports).

Exam Fee

Free for eligible Alaska public school students; AK STAR and the Alaska Science Assessment are state-required summative assessments administered by districts at no cost to families. (Alaska DEED in partnership with NWEA (MAP Growth connected spring summative))

AK STAR Math Grade 8 Exam Content Outline

~20-25%

Ratios & Proportions

Unit rates, proportional reasoning, and percent.

~20-25%

Number System

Operations with rationals/integers and number properties.

~20-25%

Expressions & Equations

Simplify, solve, and model with expressions and equations.

~15-20%

Geometry

Measurement formulas, figures, and geometric relationships.

~10-15%

Statistics & Probability

Summarize data and basic probability.

How to Pass the AK STAR Math Grade 8 Exam

What You Need to Know

  • Passing score: Reported in four achievement levels: Needs Support, Approaching Proficient, Proficient, and Advanced (Alaska DEED AK STAR / Science score reports).
  • Exam length: 66 questions
  • Time limit: About 180 minutes estimated; not strictly timed; may be administered in multiple school-day sessions.
  • Exam fee: Free for eligible Alaska public school students; AK STAR and the Alaska Science Assessment are state-required summative assessments administered by districts at no cost to families.

Keys to Passing

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

AK STAR Math Grade 8 Study Tips from Top Performers

1Practice multi-step word problems that require choosing operations carefully.
2Build fluency on grade-level computation before relying on calculators (especially grades 3–5, where calculators are not allowed).
3Explain answers with models, equations, and units—not only final numbers.
4Use DEED formula sheets for grades that provide them and official practice tests for item types.
5Review mistakes by identifying whether the error was computation, concept, or misread wording.

Frequently Asked Questions

What is AK STAR Grade 8 Mathematics?

Alaska's required spring mathematics summative for grade 8 within the AK STAR system (DEED + NWEA).

Are calculators allowed?

Basic and scientific calculators available on many items in grades 6–8; graphing not available.

How long is the test?

About 180 minutes estimated total; not strictly timed; schools schedule multiple sessions as needed.

How many questions?

About 66 total mathematics items for Grade 8 on the online adaptive form per DEED administration directions.

How is it scored?

Four achievement levels (Needs Support through Advanced) plus MAP Growth RIT scores by instructional area.

Is there a fee?

No family fee for eligible Alaska public school students.