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100+ Free DC CAPE 2.0 Math Grade 7 Practice Questions

Prepare for the District of Columbia Comprehensive Assessments of Progress in Education (DC CAPE) 2.0 Mathematics — Grade 7 exam with instant access — no signup required.

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Key Facts: DC CAPE 2.0 Math Grade 7 Exam

Grade 7

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 7 is DC's free OSSE CAPE 2.0 statewide mathematics summative for Grade 7 (first admin spring 2027); practice here is English MCQ study only.

Sample DC CAPE 2.0 Math Grade 7 Practice Questions

Try these sample questions to test your DC CAPE 2.0 Math Grade 7 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A DC Metro trip covers 18 miles in 24 minutes at a constant speed. What is the unit rate in miles per minute?
A.0.75 miles per minute
B.1.33 miles per minute
C.42 miles per minute
D.6 miles per minute
Explanation: Unit rate = distance ÷ time = 18 ÷ 24 = 0.75 miles per minute.
2A juice stand mixes 5 liters of juice concentrate with 8 liters of water. What is the unit rate of water per liter of concentrate?
A.1.6 liters of water per liter of concentrate
B.0.625 liters of water per liter of concentrate
C.13 liters of water per liter of concentrate
D.3 liters of water per liter of concentrate
Explanation: Water per liter of concentrate = 8 ÷ 5 = 1.6 liters of water for each liter of concentrate.
3A bike rental on the National Mall costs $12 for 3 hours at a constant hourly rate. What is the constant of proportionality in dollars per hour?
A.$4 per hour
B.$9 per hour
C.$36 per hour
D.$15 per hour
Explanation: k = total cost ÷ hours = 12 ÷ 3 = 4 dollars per hour. Cost = 4 × hours.
4Which equation represents a proportional relationship between y and x with constant of proportionality 6?
A.y = 6x
B.y = x + 6
C.y = 6/x
D.y = 6 − x
Explanation: A proportional relationship has the form y = kx. Here k = 6, so y = 6x. The graph is a line through the origin.
5A map of Washington, D.C. uses a scale of 1 inch : 2 miles. How many miles does 5.5 inches represent?
A.11 miles
B.2.75 miles
C.7.5 miles
D.27.5 miles
Explanation: Miles = 5.5 × 2 = 11. Each inch represents 2 miles.
6A recipe for 4 servings needs 6 cups of rice. How many cups of rice are needed for 10 servings if the ratio stays the same?
A.15 cups
B.12 cups
C.16 cups
D.20 cups
Explanation: Set up 6/4 = x/10. Cross-multiply: 4x = 60, so x = 15. Unit rate is 1.5 cups per serving; 1.5 × 10 = 15.
7Nia deposits $400 in an account that pays 5% simple interest per year. How much interest does the account earn in 2 years?
A.$40
B.$20
C.$440
D.$400
Explanation: Simple interest is I = principal × rate × time. One year of interest is 0.05 × $400 = $20, so two years earn 2 × $20 = $40.
8A backpack originally costs $40 and is on sale for 20% off. What is the sale price before tax?
A.$32
B.$20
C.$8
D.$48
Explanation: Discount = 0.20 × 40 = $8. Sale price = 40 − 8 = $32. Equivalently, 40 × 0.80 = 32.
9A table shows x: 2, 4, 6 and y: 10, 20, 30. What is the constant of proportionality k if y = kx?
A.5
B.8
C.0.2
D.12
Explanation: k = y/x. Check: 10/2 = 5, 20/4 = 5, 30/6 = 5. So k = 5 and y = 5x.
10A printer produces 45 pages in 9 minutes. At this constant rate, how many pages does it produce in 14 minutes?
A.70 pages
B.63 pages
C.54 pages
D.90 pages
Explanation: Unit rate = 45 ÷ 9 = 5 pages per minute. In 14 minutes: 5 × 14 = 70 pages. Proportion: 45/9 = x/14 → x = 70.

About the DC CAPE 2.0 Math Grade 7 Exam

District of Columbia Comprehensive Assessments of Progress in Education (DC CAPE) 2.0 Mathematics — Grade 7 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 7 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 7 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 7 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 7 assessment?

DC CAPE 2.0 Math Grade 7 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.