Free Practice Questions for VTCAP Grade 3 Math
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 Grade 3 Math Exam
37 (adaptive)
Operational items on the real test
VTCAP Test Specifications, Spring 2026
51 points
Operational points on the Grades 3-5 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
VTCAP Grade 3 Mathematics is Vermont's untimed, computer-adaptive spring assessment reported on a 1500-2000 scale across four performance levels, with 1750 marking proficiency. This free bank is 100 English-language multiple-choice study questions; the official test is offered in English plus Arabic, Chinese, French, Spanish and Swahili translated forms and includes human-scored constructed responses that multiple-choice practice cannot replace.
Sample VTCAP Grade 3 Math Practice Questions
Try these sample questions to review concepts for the VTCAP Grade 3 Math exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1Mrs. Green places 4 baskets on a table. She puts 6 apples into each basket. How many apples are there in all?
2A teacher has 28 pencils to share equally among 7 students. How many pencils will each student receive?
3Chairs in a music room are set up in 5 rows with 8 chairs in each row. How many chairs are there in total?
4Which number makes the equation true? 36 ÷ ? = 9
5What is the product of 7 and 6?
6What is 63 divided by 7?
7Which expression has the same value as 8 × 4?
8Ethan bought 3 boxes of books. Each box contains 9 books. How many books did he buy in all?
9What is 67 rounded to the nearest ten?
10What is 342 rounded to the nearest hundred?
About the VTCAP Grade 3 Math Exam
Statewide assessment for Vermont Grade 3 public school students evaluating mathematical proficiency across multiplication and division, 3-digit addition and subtraction, unit fractions and fraction equivalence, time and measurement, area and perimeter, and geometric shape attributes.
Exam sponsor: Vermont Agency of Education (AOE) & Cognia. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.
Assessment
The official VTCAP Grade 3 mathematics test is computer-adaptive 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. It is delivered in two sessions and includes four human-scored constructed responses. 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 constructed-response tasks.
Time Limit
Untimed; scheduling estimate is two sessions totalling about 110-120 minutes
Passing Score
Not pass/fail. Grade 3 mathematics scale score ranges are Level 1 (1500-1645), Level 2 (1646-1749), Level 3 (1750-1851) and Level 4 (1852-2000); 1750 and above (Level 3+) indicates grade-level proficiency.
Exam / Certification Fees
No individual candidate fee; funded by the state of Vermont.
Exam sponsor websiteFees, 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.
Operations and Algebraic Thinking
Target 12-18 of 51 operational points. Multiplication and division within 100, equal groups, arrays, 2-step word problems, properties of operations, unknown numbers, and arithmetic patterns.
Measurement and Data
Target 11-15 of 51 operational points. Telling time to the nearest minute, elapsed time, liquid volume (liters), mass (grams/kilograms), scaled picture/bar graphs, line plots, area by tiling/multiplication, and perimeter.
Number and Operations — Fractions
Target 8-10 of 51 operational points. Understanding unit fractions (1/b), representing fractions on number lines, fraction equivalence, whole numbers as fractions, and comparing fractions.
Constructed Response — Mathematical Practices
6 of 51 operational points scored on the Mathematical Practices rubric across the four human-scored constructed-response items.
Number and Operations in Base Ten
Target 5-7 of 51 operational points. Rounding whole numbers to the nearest 10 or 100, fluent 3-digit addition and subtraction, and multiplying 1-digit numbers by multiples of 10.
Geometry
Target 3-5 of 51 operational points. Categorizing 2D shapes by attributes, quadrilaterals (rhombuses, rectangles, squares), and partitioning shapes into equal areas as unit fractions.
Preparing for the VTCAP Grade 3 Math Exam
What You Need to Know
- Passing score: Not pass/fail. Grade 3 mathematics scale score ranges are Level 1 (1500-1645), Level 2 (1646-1749), Level 3 (1750-1851) and Level 4 (1852-2000); 1750 and above (Level 3+) indicates grade-level proficiency.
- Assessment: The official VTCAP Grade 3 mathematics test is computer-adaptive 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. It is delivered in two sessions and includes four human-scored constructed responses. 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 constructed-response tasks.
- Time limit: Untimed; scheduling estimate is two sessions totalling about 110-120 minutes
- Exam / certification fees: No individual candidate fee; funded by the state of Vermont. 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 Grade 3 Math: Suggested Study Strategy
Frequently Asked Questions
What is the VTCAP Grade 3 Math test?
VTCAP (Vermont Comprehensive Assessment Program) is Vermont's statewide annual assessment evaluating Grade 3 students on the Common Core mathematics standards, administered each spring by the Vermont Agency of Education with Cognia.
What mathematical domains are tested on VTCAP Grade 3 Math?
Operations and Algebraic Thinking; Number and Operations in Base Ten; Number and Operations — Fractions; Measurement and Data; and Geometry. Four constructed-response items also contribute 6 points scored on the Mathematical Practices rubric.
How are results reported for VTCAP?
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 3 mathematics, Level 3 begins at 1750 and Level 4 at 1852.
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.
Does this practice bank match the official VTCAP format?
No. This bank is 100 English-language four-option multiple-choice questions built from the published standards and blueprint. The official test is adaptive and includes equation-entry, technology-enhanced and human-scored constructed-response items; it is not an official practice test.