Free Practice Questions for VTCAP Math Grade 8
Exam-style questions and explanations by OpenExamPrep.
Loading practice questions...
Explore More Vermont Comprehensive Assessment Program (VTCAP)
Continue into nearby exams from the same family. Each card keeps practice questions, study guides, flashcards, videos, and articles in one place.
Key Facts: VTCAP Math Grade 8 Exam
41 (adaptive)
Operational items on the real test
VTCAP Test Specifications, Spring 2026
55 points
Operational points on the Grade 8 mathematics form
VTCAP Test Specifications, Spring 2026
1750
Scale score marking Level 3 proficiency
VTCAP Score Interpretation Guide, Spring 2026
Untimed
Test sessions are not timed
VTCAP Test Administrator's Manual, Spring 2026
100
Practice questions in this free bank
OpenExamPrep Bank
The VTCAP Grade 8 Math exam is untimed and computer-adaptive, worth 55 operational points weighted to Expressions & Equations (20-31%), Functions (18-29%), Geometry (18-29%), Statistics & Probability (18-22%) and The Number System (7%), with 1750 marking Level 3 proficiency. This practice bank features 100 English-language four-option questions with step-by-step worked solutions and distractor rationale; it does not reproduce the adaptive engine or the human-scored constructed responses.
Sample VTCAP Math Grade 8 Practice Questions
Try these sample questions to review concepts for the VTCAP Math Grade 8 exam. 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 an irrational number?
2What is the principal square root of 81?
3Simplify the expression: 5³ × 5⁴
4What is the value of 8⁰ + 2³?
5Write the number 45,000 in scientific notation.
6Simplify the expression: x⁹ / x³
7What is the slope of the line given by the equation y = -3x + 7?
8If 4 notebooks cost $12.00, what is the unit price per notebook?
9Solve for x: 2x + 5 = 15
10What is the standard decimal form of 3.2 × 10⁻³?
About the VTCAP Math Grade 8 Exam
The Vermont Comprehensive Assessment Program (VTCAP) Mathematics Grade 8 assessment evaluates student mastery of Grade 8 standards, including real number systems, linear equations, functions, geometric transformations, the Pythagorean theorem, 3D geometry, and bivariate statistics.
Exam sponsor: Vermont Agency of Education in partnership with Cognia. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.
Assessment
The official VTCAP Grade 8 mathematics test is computer-adaptive, delivered in two sessions, and reports two content indicators — Functions, and The Number System with Expressions and Equations — plus Geometry with Statistics and Probability and two Mathematical Practices indicators. Machine-scored items target 0-30% DOK 1, 50-80% DOK 2 and 5-30% DOK 3. Our practice bank provides 100 multiple-choice items at easy (30%), medium (50%) and hard (20%) difficulty; it does not reproduce the adaptive engine, equation-editor items, or the four constructed-response tasks.
Time Limit
Untimed; scheduling estimate is two sessions totalling about 120-130 minutes
Passing Score
Not pass/fail. Grade 8 mathematics scale score ranges are Level 1 (1500-1644), Level 2 (1645-1749), Level 3 (1750-1855) and Level 4 (1856-2000); 1750 and above (Level 3+) indicates grade-level proficiency.
Reported exam pass rate: Not published as a pass rate. Statewide mathematics proficiency ranged from 33% to 48% across Grades 3-9 in 2024-2025 (Vermont AOE).. This describes exam candidates, not OpenExamPrep users or results from using our resources. Exam sponsor website
Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.
Our practice resources: topics covered
We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.
Expressions & Equations
Target 11-17 of 55 operational points. Apply rules of integer exponents; work with scientific notation; graph proportional relationships and interpret unit rate as slope; solve multi-step linear equations; solve systems of two linear equations in two variables.
Functions
Target 10-16 of 55 operational points. Define, evaluate, and compare functions presented algebraically, graphically, numerically, or verbally; model linear functions with y = mx + b; distinguish linear from non-linear functions.
Geometry & Pythagorean Theorem
Target 10-16 of 55 operational points. Verify properties of translations, reflections, rotations, and dilations; apply congruence and similarity rules; use the Pythagorean Theorem to find missing side lengths and coordinate distances; compute volumes of cylinders, cones, and spheres.
Bivariate Data & Statistics
Target 10-12 of 55 operational points. Construct and interpret scatter plots for bivariate measurement data; fit informal lines of best fit; evaluate linear association; construct and interpret two-way frequency tables.
Constructed Response — Mathematical Practices
6 of 55 operational points scored on the Mathematical Practices rubric across the four human-scored constructed-response items.
The Number System
Target 4 of 55 operational points. Distinguish rational from irrational numbers; approximate irrational numbers using rational numbers; convert repeating decimals to fractions; compute square and cube roots of perfect powers.
Preparing for the VTCAP Math Grade 8 Exam
What You Need to Know
- Passing score: Not pass/fail. Grade 8 mathematics scale score ranges are Level 1 (1500-1644), Level 2 (1645-1749), Level 3 (1750-1855) and Level 4 (1856-2000); 1750 and above (Level 3+) indicates grade-level proficiency.
- Assessment: The official VTCAP Grade 8 mathematics test is computer-adaptive, delivered in two sessions, and reports two content indicators — Functions, and The Number System with Expressions and Equations — plus Geometry with Statistics and Probability and two Mathematical Practices indicators. Machine-scored items target 0-30% DOK 1, 50-80% DOK 2 and 5-30% DOK 3. Our practice bank provides 100 multiple-choice items at easy (30%), medium (50%) and hard (20%) difficulty; it does not reproduce the adaptive engine, equation-editor items, or the four constructed-response tasks.
- Time limit: Untimed; scheduling estimate is two sessions totalling about 120-130 minutes
- Exam / certification fees: Free Official sources
Using Our Practice Resources
- Work through all 100 available questions
- Review every answer and explanation
- Track weak areas and revisit them
- Use our AI tutor for tough concepts
VTCAP Math Grade 8: Suggested Study Strategy
Frequently Asked Questions
What is the VTCAP Grade 8 Mathematics exam?
The VTCAP Grade 8 Math exam is Vermont's statewide summative assessment measuring Grade 8 student achievement against state mathematics standards.
What mathematical domains are evaluated on the test?
Expressions & Equations (20-31% of the 55 operational points), Functions (18-29%), Geometry (18-29%), Statistics & Probability (18-22%) and The Number System (7%), plus 6 points (11%) scored on the Mathematical Practices rubric via constructed responses.
Are calculators allowed on the VTCAP Grade 8 Math test?
On some sessions but not others. Desmos calculators are a universal tool in the online platform, and the Test Administrator's Manual scripts both a calculator-permitted session and a no-calculator session. On paper-based accommodated forms, Grades 6-8 may use scientific calculators only.
What languages is the VTCAP mathematics test available in?
For the 2025-2026 testing cycle the VTCAP mathematics and science assessments are available in Arabic, Chinese, French, Spanish and Swahili as computer-based fixed-form translations, in addition to English. No other translated forms are offered.
How are the questions in this practice bank formatted?
Every question includes 4 plausible options, a single correct answer index, a full step-by-step math explanation, and individual explanations for why each incorrect option is wrong.
What is the difficulty breakdown of the 100 items?
The 100 items are distributed as ~30% easy (30 items), ~50% medium (50 items), and ~20% hard (20 items).