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100+ Free DC CAPE 2.0 Math Grade 8 Practice Questions

Prepare for the District of Columbia Comprehensive Assessments of Progress in Education (DC CAPE) 2.0 Mathematics — Grade 8 exam with instant access — no signup required.

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Key Facts: DC CAPE 2.0 Math Grade 8 Exam

Grade 8

Official DC CAPE 2.0 tested grade/course (OSSE FAQ Q4)

osse.dc.gov CAPE 2.0 FAQ

Free

No student exam fee for standard school administration

OSSE Assessments policy

SY 2026–27

First DC CAPE 2.0 administration (spring 2027)

OSSE CAPE 2.0 page / FAQ

OSSE

State education agency administering DC CAPE 2.0

osse.dc.gov

Pearson

Administration platforms ADAM / TestNav; science content vendor

OSSE CAPE 2.0 FAQ Q3

CCSS Math

Content standards alignment

OSSE CAPE 2.0 FAQ Q5

4 levels

Performance levels; Level 3 = met expectations

OSSE CAPE 2.0 page

Untimed

Official tests designed as untimed with estimated session lengths

OSSE System Overview Feb 2026

DC CAPE 2.0 Math Grade 8 is DC's free OSSE CAPE 2.0 statewide mathematics summative for Grade 8 (first admin spring 2027); practice here is English MCQ study only.

Sample DC CAPE 2.0 Math Grade 8 Practice Questions

Try these sample questions to test your DC CAPE 2.0 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.√81
B.−7/3
C.√50
D.0.125
Explanation: √50 cannot be written as a ratio of integers because 50 is not a perfect square. Its decimal neither terminates nor repeats.
2Between which two consecutive integers does √40 lie?
A.5 and 6
B.6 and 7
C.7 and 8
D.4 and 5
Explanation: 6² = 36 and 7² = 49. Since 36 < 40 < 49, √40 is between 6 and 7.
3Which expression is equivalent to a rational number?
A.√2 + √8
B.√9 + √16
C.√5 + √20
D.π − 3
Explanation: √9 = 3 and √16 = 4, so √9 + √16 = 7, a rational number.
4What is the value of √(64/121)?
A.8/11
B.8/121
C.64/11
D.4/11
Explanation: √(64/121) = √64 / √121 = 8/11.
5Which statement about √72 is true?
A.√72 = 8.5 exactly
B.√72 is closer to 8 than to 9
C.√72 is closer to 9 than to 8
D.√72 = 9 exactly
Explanation: 8² = 64 and 9² = 81. √72 is about 8.49, which is less than 8.5, so it is closer to 8 than to 9.
6Order these numbers from least to greatest: √10, 3.1, 22/7.
A.√10, 3.1, 22/7
B.3.1, √10, 22/7
C.√10, 22/7, 3.1
D.3.1, 22/7, √10
Explanation: 3.1 = 3.100, 22/7 ≈ 3.143, and √10 ≈ 3.162. Therefore the order from least to greatest is 3.1, 22/7, √10.
7What is ∛(−125)?
A.−5
B.5
C.−25
D.25
Explanation: The cube root of −125 is −5 because (−5)³ = −125.
8Which decimal is closest to √45?
A.6.5
B.6.7
C.6.9
D.7.1
Explanation: 6.7² = 44.89 and 6.8² = 46.24. Since 44.89 is very close to 45, √45 ≈ 6.71, so 6.7 is the closest choice.
9Which number can be written as a terminating or repeating decimal?
A.√7
B.π
C.√(36/49)
D.√2 + 1
Explanation: √(36/49) = 6/7, which is a repeating decimal and is rational.
10A square has an area of 50 square centimeters. Which is the best estimate of its side length?
A.About 6.5 cm
B.About 7.1 cm
C.About 7.5 cm
D.About 25 cm
Explanation: Side length is √50. Since 7² = 49 and 7.1² = 50.41, √50 is about 7.07 cm, closest to 7.1 cm.

About the DC CAPE 2.0 Math Grade 8 Exam

District of Columbia Comprehensive Assessments of Progress in Education (DC CAPE) 2.0 Mathematics — Grade 8 is the District of Columbia's grade/course-level DC CAPE 2.0 statewide summative assessment administered by OSSE beginning SY 2026–27 (first operational window spring 2027). ELA and mathematics content is provided through the Smarter Balanced Assessment Consortium against the Common Core State Standards (CCSS), with grades 3–8 using Smarter Balanced summative adjusted blueprints and high school courses using DC end-of-course blueprints. Students test on Pearson TestNav (ADAM management). Official forms mix selected-response, technology-enabled, and constructed-response/performance tasks. OpenExamPrep free practice is an English-language four-option MCQ study adaptation aligned to public OSSE/Smarter Balanced/NGSS frameworks—not official secure items, not a full TE/CR/PT simulation, and not a substitute for classroom instruction or the official assessment.

Assessment

Question count not published by the exam provider

Time Limit

About 2 hours estimated total for most students (CAT ~1 hour + performance task ~1 hour); tests are untimed (OSSE DC CAPE 2.0 System Overview, Feb 2026).

Passing Score

DC CAPE 2.0 reports four performance levels for ELA, math, and science; Level 3 indicates the student met grade-level (or course-level) expectations (OSSE CAPE 2.0 page). After the first 2026–27 administration, OSSE will conduct a summer 2027 standard-setting event for high school ELA and math end-of-course assessments and redesigned science assessments before cut scores are finalized for those forms (OSSE CAPE 2.0 FAQ, Dec 2025).

Exam Fee

Free for District of Columbia public and public charter school students; DC CAPE 2.0 is the required statewide summative assessment administered through LEAs at no student exam fee (OSSE Assessments Participation & Performance Policy; OSSE CAPE 2.0 materials). (District of Columbia Office of the State Superintendent of Education (OSSE); ELA and math content from the Smarter Balanced Assessment Consortium; science content and ADAM/TestNav administration platforms via Pearson)

DC CAPE 2.0 Math Grade 8 Exam Content Outline

~45–50% of items (priority + supporting clusters; ~9–11 CAT items on adjusted blueprint)

Concepts and Procedures (Claim 1)

Grade- or course-level procedural fluency and conceptual understanding of major Common Core content clusters.

~25–35% of items (~5–7 items including PT components)

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

Apply mathematics to solve problems and model real-world situations; interpret data and quantitative relationships.

~20–30% of items (~4–6 items including PT components)

Communicating Reasoning (Claim 3)

Construct, evaluate, and critique mathematical arguments and explanations.

How to Pass the DC CAPE 2.0 Math Grade 8 Exam

What You Need to Know

  • Passing score: DC CAPE 2.0 reports four performance levels for ELA, math, and science; Level 3 indicates the student met grade-level (or course-level) expectations (OSSE CAPE 2.0 page). After the first 2026–27 administration, OSSE will conduct a summer 2027 standard-setting event for high school ELA and math end-of-course assessments and redesigned science assessments before cut scores are finalized for those forms (OSSE CAPE 2.0 FAQ, Dec 2025).
  • Assessment: Question count not published by the exam provider
  • Time limit: About 2 hours estimated total for most students (CAT ~1 hour + performance task ~1 hour); tests are untimed (OSSE DC CAPE 2.0 System Overview, Feb 2026).
  • Exam fee: Free for District of Columbia public and public charter school students; DC CAPE 2.0 is the required statewide summative assessment administered through LEAs at no student exam fee (OSSE Assessments Participation & Performance Policy; OSSE CAPE 2.0 materials).

Keys to Passing

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

DC CAPE 2.0 Math Grade 8 Study Tips from Top Performers

1Use OSSE-linked practice/sample resources and Smarter Balanced sample items so students learn digital tools and item interactions.
2Align review to grade-level Common Core (ELA/math) or NGSS (science) expectations named in OSSE CAPE 2.0 materials—not only generic worksheets.
3Review wrong answers by claim or science domain (reading/writing/research; concepts/procedures; life/physical/Earth) to target instruction.
4Use short, frequent practice sessions across the year rather than cramming only in the spring window.
5For performance-task and constructed-response skills, practice evidence selection, planning, modeling, and revision even when using MCQ study items.

Frequently Asked Questions

What is the DC CAPE 2.0 Math Grade 8 assessment?

DC CAPE 2.0 Math Grade 8 is part of the District of Columbia Comprehensive Assessments of Progress in Education (DC CAPE) 2.0 general statewide assessment system administered by OSSE beginning in school year 2026–27 (first spring 2027 administration). It measures student progress relative to DC educational standards (Common Core State Standards).

Is DC CAPE 2.0 free for students?

Yes. DC CAPE 2.0 is the District’s required statewide summative assessment for eligible public and public charter school students and is administered through LEAs without a student exam fee.

How long is the official test?

About 2 hours estimated total for most students (CAT ~1 hour + performance task ~1 hour); tests are untimed (OSSE DC CAPE 2.0 System Overview, Feb 2026).

What item types appear on the official assessment?

Official ELA/math forms include computer-adaptive selected-response and technology-enabled items plus performance tasks (including full-write tasks in ELA). OpenExamPrep provides English four-option MCQ study adaptations only—not an official-format simulation.

How are results reported?

DC CAPE 2.0 reports four performance levels for ELA, math, and science; Level 3 indicates the student met grade-level (or course-level) expectations (OSSE CAPE 2.0 page). After the first 2026–27 administration, OSSE will conduct a summer 2027 standard-setting event for high school ELA and math end-of-course assessments and redesigned science assessments before cut scores are finalized for those forms (OSSE CAPE 2.0 FAQ, Dec 2025).

Are these practice questions official OSSE or Smarter Balanced items?

No. These free practice questions are original study aids aligned to DC standards and publicly described CAPE 2.0 / Smarter Balanced / NGSS frameworks. They are not secure official items and do not replace OSSE/Pearson practice resources, classroom instruction, or the official spring assessment.

Does this bank replace constructed-response or performance tasks?

No. Official DC CAPE 2.0 includes performance tasks and (for science) constructed-response items. This bank adapts the underlying knowledge and judgment into multiple-choice study items only.