Free Practice Questions for Vermont VTCAP Mathematics Grade 5
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Key Facts: Vermont VTCAP Mathematics Grade 5 Exam
Vermont Agency of Education
State Agency
VT AOE
Cognia
Assessment Vendor
VT AOE VTCAP Portal
100 questions
Practice Questions
OpenExamPrep
Grade 5
Target Grade
VT Common Core Standards
37 (adaptive)
Operational items on the real test
VTCAP Test Specifications, Spring 2026
1750
Scale score marking Level 3 proficiency
VTCAP Score Interpretation Guide, Spring 2026
Prepare for the Vermont VTCAP Grade 5 Mathematics test with 100 comprehensive practice questions covering numerical expressions, decimal operations, fraction arithmetic, volume, and coordinate geometry, complete with step-by-step worked solutions. These are English-language multiple-choice study items; the official test is adaptive, is offered in five translated languages besides English, and includes human-scored constructed responses that multiple-choice practice cannot replace.
Sample Vermont VTCAP Mathematics Grade 5 Practice Questions
Try these sample questions to review concepts for the Vermont VTCAP Mathematics Grade 5 exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1Evaluate the numerical expression: (6 + 4) × 5.
2Evaluate the expression: 15 − (3 × 4).
3Evaluate the expression with brackets: 4 × [2 + (5 − 1)].
4Which expression represents the phrase 'add 7 and 5, then multiply by 3'?
5Starting at 0, follow the rule 'add 4'. What is the 5th term of the sequence?
6In the number 4.582, what is the place value of the digit 5?
7What is the product of 3.4 × 10²?
8Which symbol correctly compares the two decimals: 0.45 ___ 0.405?
9Round 6.738 to the nearest tenth.
10Calculate the product: 245 × 12.
About the Vermont VTCAP Mathematics Grade 5 Exam
The Vermont Comprehensive Assessment Program (VTCAP) Grade 5 Mathematics exam measures student mastery of 5th-grade math standards including operations with multi-digit numbers and decimals, fraction arithmetic, volume measurement, numerical expressions, and coordinate geometry. This 100-question practice bank covers all tested reporting domains with thorough explanations for correct and incorrect answer choices.
Exam sponsor: Vermont Agency of Education. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.
Assessment
The official VTCAP Grade 5 mathematics test is computer-adaptive, delivered in two sessions, and reports three content indicators — Operations and Algebraic Thinking; Number and Operations in Base Ten with Fractions; Measurement and Data with Geometry — plus two Mathematical Practices indicators. Machine-scored items target 5-25% 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-entry items, or the four constructed-response tasks.
Time Limit
Untimed; scheduling estimate is two sessions totalling about 110-120 minutes
Passing Score
Not pass/fail. Grade 5 mathematics scale score ranges are Level 1 (1500-1682), Level 2 (1683-1749), Level 3 (1750-1826) and Level 4 (1827-2000); 1750 and above (Level 3+) indicates grade-level proficiency.
Reported exam pass rate: Not applicable (performance levels 1–4 are reported). 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.
Number and Operations — Fractions
Target 11-15 of 51 operational points. Adding/subtracting fractions with unlike denominators, fractions as division, fraction multiplication, scaling, and unit-fraction division.
Measurement and Data
Target 10-14 of 51 operational points. Unit conversions, fractional line plots, and volume calculations (V = l × w × h, V = B × h, and composite shapes).
Number and Operations in Base Ten
Target 7-13 of 51 operational points. Place value, powers of 10, decimal comparison and rounding, standard algorithm multiplication, multi-digit division, and decimal arithmetic.
Operations and Algebraic Thinking
Target 7-11 of 51 operational points. Order of operations with parentheses/brackets, writing and interpreting expressions, and numerical pattern rules.
Constructed Response — Mathematical Practices
6 of 51 operational points scored on the Mathematical Practices rubric across the four human-scored constructed-response items.
Geometry
Target 4-8 of 51 operational points. Coordinate plotting (Quadrant 1) and the 2D shape hierarchy.
Preparing for the Vermont VTCAP Mathematics Grade 5 Exam
What You Need to Know
- Passing score: Not pass/fail. Grade 5 mathematics scale score ranges are Level 1 (1500-1682), Level 2 (1683-1749), Level 3 (1750-1826) and Level 4 (1827-2000); 1750 and above (Level 3+) indicates grade-level proficiency.
- Assessment: The official VTCAP Grade 5 mathematics test is computer-adaptive, delivered in two sessions, and reports three content indicators — Operations and Algebraic Thinking; Number and Operations in Base Ten with Fractions; Measurement and Data with Geometry — plus two Mathematical Practices indicators. Machine-scored items target 5-25% 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-entry items, or the four constructed-response tasks.
- Time limit: Untimed; scheduling estimate is two sessions totalling about 110-120 minutes
- Exam / certification fees: Free for Vermont public school students 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
Vermont VTCAP Mathematics Grade 5: Suggested Study Strategy
Frequently Asked Questions
What is the Vermont VTCAP Math Grade 5 assessment?
VTCAP is Vermont's statewide summative assessment system designed to evaluate student progress against Grade 5 Common Core State Standards in Mathematics.
How many questions are on the VTCAP Grade 5 Math exam?
The Spring 2026 specifications set 37 operational items — 33 machine-scored 1-point items plus four constructed responses — worth 51 operational points, with 43 items seen in total once embedded field-test items are counted. This practice bank provides a separate set of 100 practice questions.
Is the test timed?
No. The Test Administrator's Manual states test sessions are not timed; the published scheduling estimate for Grades 3-5 mathematics is two sessions totalling about 110-120 minutes.
How are VTCAP scores categorized?
On a 1500-2000 scale in four performance levels describing emerging (Level 1), partial (Level 2), satisfactory (Level 3) and thorough (Level 4) understanding. For Grade 5 mathematics, Level 3 begins at 1750 and Level 4 at 1827.
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.