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100+ Free KĀʻEO Math G8 Practice Questions

Prepare for the Kaiapuni Assessment of Educational Outcomes (KĀʻEO) — Mathematics Grade 8 exam with instant access — no signup required.

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Key Facts: KĀʻEO Math G8 Exam

Grades 3–8

KĀʻEO Mathematics administered

HIDOE Types of Testing

Hawaiian-medium

Official KĀʻEO delivery language

HIDOE / KĀʻEO technical reports

Kaiapuni

Immersion pathway assessment

HIDOE

Free

State-administered

HIDOE

Standards-aligned

Built on unified state standards pathway in Hawaiian medium

KĀʻEO technical reports

English MCQ

OpenExamPrep adaptation only

OpenExamPrep practice language policy

KĀʻEO Math Grade 8 is HIDOE/UH Mānoa’s free Hawaiian-medium statewide math assessment for Kaiapuni students; OpenExamPrep provides English MCQ standards practice only.

Sample KĀʻEO Math G8 Practice Questions

Try these sample questions to test your KĀʻEO Math G8 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.√64
B.0.875
C.√11
D.9/4
Explanation: An irrational number cannot be written as a ratio of two integers and does not terminate or repeat. √11 is irrational because 11 is not a perfect square.
2Between which two consecutive integers does √55 lie?
A.6 and 7
B.7 and 8
C.8 and 9
D.5 and 6
Explanation: 7² = 49 and 8² = 64. Since 49 < 55 < 64, √55 is between 7 and 8 (about 7.42).
3Which statement correctly compares √45 and 6.8?
A.√45 is greater than 6.8
B.√45 equals 6.8
C.√45 is less than 6.8
D.√45 cannot be compared without a calculator
Explanation: 6.8² = 46.24. Because 46.24 > 45, 6.8 > √45. Also 6² = 36 and 7² = 49, so √45 is a bit more than 6.7 (about 6.71).
4The repeating decimal 0.272727... is equal to which fraction in lowest terms?
A.27/99
B.3/11
C.27/100
D.2/7
Explanation: For a two-digit repeat ab, 0.ababab... = ab/99. So 0.272727... = 27/99. Simplifying by 9 gives 3/11.
5Which expression equals a rational number?
A.√18 + √2
B.√8
C.√16 + √9
D.√5 − 1
Explanation: √16 + √9 = 4 + 3 = 7, an integer, which is rational.
6Which approximation of √90 is closest?
A.9.2
B.9.5
C.9.7
D.9.9
Explanation: 9.5² = 90.25, extremely close to 90. Check: 9.2² = 84.64, 9.7² = 94.09, 9.9² = 98.01. So 9.5 is closest.
7√200 is between which pair of consecutive integers, and closer to which one?
A.14 and 15; closer to 14
B.14 and 15; closer to 15
C.13 and 14; closer to 14
D.15 and 16; closer to 15
Explanation: 14² = 196 and 15² = 225. 196 < 200 < 225, so √200 is between 14 and 15. 200 − 196 = 4 while 225 − 200 = 25, so √200 is much closer to 14 (about 14.14).
8Which number is greater: √48 or 6.9?
A.√48
B.6.9
C.They are equal
D.Not enough information
Explanation: 6.9² = 47.61. Because 47.61 < 48, 6.9 < √48. (√48 ≈ 6.928.)
9What is the value of ∛125?
A.5
B.25
C.15
D.41.7
Explanation: ∛125 is the number that cubes to 125. 5³ = 5 × 5 × 5 = 125, so ∛125 = 5.
10Which equation is true?
A.√81 = 9.5
B.√0.49 = 0.7
C.√0.16 = 0.8
D.∛8 = 4
Explanation: 0.7² = 0.49, so √0.49 = 0.7. (Also 7/10 squared is 49/100.)

About the KĀʻEO Math G8 Exam

KĀʻEO Mathematics Grade 8 is Hawaiʻi’s statewide Hawaiian-medium mathematics assessment for Kaiapuni immersion students in grade 8. It measures grade-level mathematics expectations on the Kaiapuni pathway. OpenExamPrep free practice is an English-language four-option MCQ study adaptation of assessable standards knowledge—not an official KĀʻEO translation, not a Hawaiian-medium testing environment, and not a substitute for authentic Kaiapuni reading, writing, listening, speaking, multi-step modeling, constructed responses, or the secure assessment.

Assessment

Question count not published by the exam provider

Time Limit

School-scheduled within the statewide KĀʻEO window. SY 2025–26 KĀʻEO window: Language Arts & Mathematics grades 3–8 and Science grades 5 & 8 open 04/01/26 and close 05/28/26 (subject to change).

Passing Score

KĀʻEO reports one overall scale score per content area mapped to four achievement levels — Level 1 Beginning, Level 2 Developing, Level 3 Proficient, Level 4 Distinguished. Cut scores were set by standard setting (2016 for grades 3–4 HLA and mathematics, 2019 for grades 5–8 and grade 8 science, 2023 for grade 5 science) and are not republished as a single public percentage; read the score report for the year administered.

Exam Fee

Free to students and families; administered for Kaiapuni Hawaiian language immersion students in Hawaiʻi public and public charter schools (no separate family registration fee published). (Hawaiʻi State Department of Education (HIDOE) with University of Hawaiʻi–Mānoa partners)

KĀʻEO Math G8 Exam Content Outline

44% of reported points (~28 of 63, KĀʻEO technical report)

Concepts and Procedures (Claim 1)

Grade-level mathematical concepts and fluent procedures — number, operations, fractions and decimals, expressions, geometry, and measurement.

35% of reported points (~22 of 63, KĀʻEO technical report)

Problem Solving and Modeling/Data Analysis (Claims 2 and 4)

Applying mathematics to well-posed and real-world problems, choosing tools and strategies, and interpreting data and models.

21% of reported points (~13 of 63, KĀʻEO technical report)

Communicating Reasoning (Claim 3)

Constructing viable arguments in Hawaiian, justifying a method or conclusion, and critiquing the reasoning of others.

How to Pass the KĀʻEO Math G8 Exam

What You Need to Know

  • Passing score: KĀʻEO reports one overall scale score per content area mapped to four achievement levels — Level 1 Beginning, Level 2 Developing, Level 3 Proficient, Level 4 Distinguished. Cut scores were set by standard setting (2016 for grades 3–4 HLA and mathematics, 2019 for grades 5–8 and grade 8 science, 2023 for grade 5 science) and are not republished as a single public percentage; read the score report for the year administered.
  • Assessment: Question count not published by the exam provider
  • Time limit: School-scheduled within the statewide KĀʻEO window. SY 2025–26 KĀʻEO window: Language Arts & Mathematics grades 3–8 and Science grades 5 & 8 open 04/01/26 and close 05/28/26 (subject to change).
  • Exam fee: Free to students and families; administered for Kaiapuni Hawaiian language immersion students in Hawaiʻi public and public charter schools (no separate family registration fee published).

Keys to Passing

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

KĀʻEO Math G8 Study Tips from Top Performers

1Include real computation items—not only vocabulary about math.
2Practice multi-step word problems with diagrams and equations.
3Review grade-critical domains weekly (fractions, ratios, linear relationships as grade-appropriate).
4Check reasonableness of answers (estimation) after calculating.
5Use Kaiapuni classroom instruction as the primary pathway; use this bank as supplemental English-side practice.

Frequently Asked Questions

What is KĀʻEO Mathematics Grade 8?

It is the Kaiapuni Assessment of Educational Outcomes mathematics assessment for grade 8 Hawaiian immersion students, administered under HIDOE with UH Mānoa partners.

What language is the official math test in?

Official KĀʻEO is Hawaiian-medium. This practice bank is English-language only and is not an official translation of the secure test.

Which grades take KĀʻEO Math?

HIDOE administers KĀʻEO language arts and mathematics in grades 3–8 for Kaiapuni immersion students.

Is it free?

Yes. It is state-administered for eligible immersion students with no separate family fee published.

Are practice questions official?

No. They are original English MCQs for standards practice, including calculation items, not secure KĀʻEO items.