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100+ Free ACAP Math Grade 8 Practice Questions

Prepare for the Alabama Comprehensive Assessment Program (ACAP) Summative Mathematics, Grade 8 exam with instant access — no signup required.

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Key Facts: ACAP Math Grade 8 Exam

ACAP Summative Grade 8 Mathematics is Alabama's spring statewide assessment (~54 items, ~46 blueprint points) with Level 1–4 results; Level 3+4 counts as proficient on state reporting.

Sample ACAP Math Grade 8 Practice Questions

Try these sample questions to test your ACAP 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 number is irrational?
A.√64
B.7/8
C.√11
D.0.45
Explanation: An irrational number cannot be written as a ratio of integers and does not terminate or repeat. √11 is irrational because 11 is not a perfect square.
2Which expression has a rational value?
A.√25 − √4
B.√12
C.√50 − √18
D.√2 + √8
Explanation: √25 − √4 = 5 − 2 = 3, a whole number, so the value is rational.
3The repeating decimal 0.272727... is equal to which fraction in lowest terms?
A.27/100
B.3/11
C.2/7
D.27/99
Explanation: Let x = 0.272727.... Then 100x = 27.2727..., so 100x − x = 27 and 99x = 27. Thus x = 27/99 = 3/11 in lowest terms.
4Which statement is true?
A.Every rational number is irrational.
B.π is rational.
C.Every irrational number is a real number.
D.√9 is irrational.
Explanation: The real numbers include all rationals and irrationals, so every irrational number is real. √9 = 3 is rational, and π is irrational.
5Which number is rational?
A.√48
B.√27
C.√50
D.√121
Explanation: √121 = 11 because 11² = 121. Perfect-square roots are rational (integers).
6Between which two consecutive integers does √55 lie?
A.7 and 8
B.5 and 6
C.6 and 7
D.8 and 9
Explanation: 7² = 49 and 8² = 64. Since 49 < 55 < 64, √55 is between 7 and 8.
7Which comparison is correct?
A.√90 = 9.5
B.√90 < 9.5
C.√90 > 9.5
D.√90 cannot be compared without a calculator
Explanation: 9.5² = 90.25. Because 90.25 > 90, 9.5 > √90, so √90 < 9.5. Also 9.4² = 88.36 < 90, so √90 ≈ 9.49.
8Approximate √52 to the nearest tenth.
A.7.1
B.7.2
C.7.3
D.7.4
Explanation: 7.2² = 51.84 and 7.3² = 53.29. √52 is slightly more than 7.2 (about 7.211), which rounds to 7.2 to the nearest tenth.
9Order from least to greatest: √30, 5.4, π.
A.π, √30, 5.4
B.π, 5.4, √30
C.5.4, π, √30
D.√30, π, 5.4
Explanation: π ≈ 3.14. 5.4² = 29.16 and 5.5² = 30.25, so √30 ≈ 5.48. Therefore π < 5.4 < √30.
10Simplify: 5³ × 5⁻¹.
A.5⁻³
B.1/5³
C.5⁴
D.
Explanation: When multiplying powers with the same base, add exponents: 3 + (−1) = 2, so 5³ × 5⁻¹ = 5².

About the ACAP Math Grade 8 Exam

ACAP Summative Grade 8 Mathematics is Alabama's required spring statewide summative assessment for grade 8 students, administered by the Alabama State Department of Education on the DRC INSIGHT platform. It measures Alabama Course of Study Standards with mixed item types and timed sessions. Practice questions on OpenExamPrep are free English-language multiple-choice study aids aligned to the official reporting categories; they do not replace authentic constructed responses, listening tasks, technology-enhanced items, or the secure official assessment. ALSDE permits Spanish-language math forms for eligible English learners until English proficiency is attained; this practice bank is English only.

Questions

54 scored questions

Time Limit

About 110 minutes total (non-calculator ~25 min + calculator ~85 min sessions per the ALSDE ACAP Summative Test Times and Item Counts table).

Passing Score

Results reported in four achievement levels (Level 1–Level 4). Proficient is Level 3 + Level 4 on Alabama state proficiency reporting (ALSDE ACAP Summative score reports / state data overviews).

Exam Fee

Free for eligible Alabama public school students; ACAP Summative is a required statewide assessment administered by districts at no cost to families. (ALSDE Student Assessment; delivered via DRC INSIGHT Online Learning System)

ACAP Math Grade 8 Exam Content Outline

29/46 pts (~63%)

Numbers, Algebra, and Functions

Linear equations, functions, and number system (largest Grade 8 category).

6/46 pts (~13%)

Data Analysis, Statistics, and Probability

Bivariate data and association.

11/46 pts (~24%)

Geometry and Measurement

Transformations, congruence/similarity, Pythagorean theorem, volume.

How to Pass the ACAP Math Grade 8 Exam

What You Need to Know

  • Passing score: Results reported in four achievement levels (Level 1–Level 4). Proficient is Level 3 + Level 4 on Alabama state proficiency reporting (ALSDE ACAP Summative score reports / state data overviews).
  • Exam length: 54 questions
  • Time limit: About 110 minutes total (non-calculator ~25 min + calculator ~85 min sessions per the ALSDE ACAP Summative Test Times and Item Counts table).
  • Exam fee: Free for eligible Alabama public school students; ACAP Summative is a required statewide assessment 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

ACAP Math Grade 8 Study Tips from Top Performers

1Practice with grade-level Alabama Course of Study Mathematics skills, not generic trivia.
2Use short mixed sets weekly rather than one long cram session.
3Review official ACAP sample item types on ALSDE/DRC resources so platform tools feel familiar.
4Read every explanation—wrong-answer feedback targets common misconceptions.
5Build stamina with timed practice blocks matching a single official session length.

Frequently Asked Questions

What is the ACAP Summative Grade 8 Mathematics assessment?

It is Alabama's required spring Mathematics summative for grade 8, part of the Alabama Comprehensive Assessment Program (ACAP) Summative run by ALSDE on DRC INSIGHT.

Is the official test all multiple choice?

No. Official ACAP Summative uses multiple item types (including multiple-select and technology-enhanced items, and for ELA text-dependent writing). This site offers English four-option MCQ study adaptations only.

How long is the official test?

About 110 minutes total (non-calculator ~25 min + calculator ~85 min sessions per the ALSDE ACAP Summative Test Times and Item Counts table).

How many questions are on the official test?

The ALSDE Test Times and Item Counts table lists about 54 items for this grade/subject; the 2024 blueprint allocates 46 possible points across reporting categories.

What do scores mean?

Students receive four achievement levels (Level 1–Level 4). Alabama proficiency reporting treats Level 3 and Level 4 as proficient.

Is there a testing fee?

No family fee for eligible public school students; districts administer the required state assessment.

When is ACAP Summative given?

Once each spring. For 2025–26, ALSDE scheduled ACAP Summative Grades 2–8 for March 16–April 24, 2026, with Grades 2–3 ELA required in the first four weeks of the window.