VTCAP Grade 9 math practice. Domain by domain.

VTCAP Grade 9 math practice organized by the test's 4 official reporting domains. Together they connect 97 playable math skills to Common Core State Standards for Mathematics (CCSS-M).

4 domains97 mapped skillsCommon Core State Standards for Mathematics (CCSS-M)
Reporting categories

VTCAP Grade 9 reporting domains

Number and Quantity/AlgebraHigh school number/quantity and algebra content reported as the 'Number and Quantity/Algebra' performance indicator; blueprint target: 8-12 points (18-27% of the grade 9 test). The grade 9 Performance Level Descriptors publish the assessed focus areas listed below; they are placed under this slash-named category by their CCSS conceptual category (Number and Quantity, Algebra).8 QsPractice →Algebra/FunctionsHigh school function content reported as the 'Algebra/Functions' performance indicator; blueprint target: 14-18 points (31-40% of the grade 9 test). The grade 9 Performance Level Descriptors publish the assessed focus areas listed below; they are placed under this slash-named category by their CCSS conceptual category (Functions, spanning linear, quadratic, and exponential function algebra).8 QsPractice →GeometryHigh school geometry content reported as the 'Geometry' performance indicator; blueprint target: 9-13 points (20-29% of the grade 9 test). The grade 9 Performance Level Descriptors publish the assessed focus areas listed below (congruence, transformations, constructions, and coordinate arguments with slope, distance, perimeter, and area).8 QsPractice →Statistics and ProbabilityHigh school statistics content reported as the 'Statistics and Probability' performance indicator; blueprint target: 6-10 points (13-20% of the grade 9 test). The grade 9 Performance Level Descriptors publish the assessed focus area listed below (one-variable displays, center and spread, two-way tables, scatterplots, fitted functions, correlation, and causation).8 QsPractice →
Test facts

How the VTCAP structures Grade 9 math

Framework

Vermont administered the Smarter Balanced summative through spring 2022, then replaced it with the Cognia-developed Vermont Comprehensive Assessment Program (VTCAP) beginning spring 2023 — this landing slug predates the switch. VTCAP mathematics is an adaptive, CCSS-M-aligned assessment in grades 3-9. It is NOT a Smarter Balanced administration: its reporting categories are groupings of the CCSS grade-level domains (e.g. 'The Number System, Expressions and Equations'), not SBAC claims, though two cross-grade Mathematical Practices indicators ('Problem Solving, Reasoning, and Argument'; 'Modeling, Patterns, and Structure') echo the old claim structure. Per the test specifications, the grades 3-8 test may assess any CCSS-M standard at the grade; the grade 9 test assesses a prioritized subset of the high school CCSS-M within the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability (the assessed focus areas are published in the grade 9 Performance Level Descriptors).

Blueprint & weighting

VTCAP Test Specifications (Spring 2026) operational test blueprint, target percent of points per grade — Grade 3: OA 24-35%, NBT 10-14%, NF 16-20%, MD 22-29%, G 6-10%, constructed-response Mathematical Practices 12%. Grade 4: OA 20-31%, NBT 16-20%, NF 20-31%, MD 12-20%, G 6-10%, practices 12%. Grade 5: OA 14-22%, NBT 14-25%, NF 22-29%, MD 20-27%, G 8-16%, practices 12%. Grade 6: RP 15-22%, NS 15-22%, EE 15-22%, G 11-19%, SP 11-19%, practices 11%. Grade 7: RP 15-22%, NS 11%, EE 15-30%, G 11-19%, SP 19-22%, practices 11%. Grade 8: F 18-29%, NS 7%, EE 20-31%, G 18-29%, SP 18-22%, practices 11%. Grade 9 (all machine-scored): Number and Quantity/Algebra 18-27%, Algebra/Functions 31-40%, Geometry 20-29%, Statistics and Probability 13-20%; the two practices indicators are dual-aligned targets of >18% of points each. Identical figures appear in the Spring 2025 specifications.

Practice by skill

Skills covered across these domains

Common factor group size (ACT)

Grade 910 questions

Fraction bounds extreme value (ACT)

Grade 910 questions

LCM word problems (ACT)

Grade 910 questions

Monomial expression multiplication (SAT)

Grade 920 questions

Polynomial combining like terms (ACT/SAT)

Grade 910 questions

Polynomial expression multiplication (SAT)

Grade 910 questions

Square and cube binomials

Grade 910 questions

Unit conversion word problems (ACT)

Grade 910 questions

Combining like square roots (ACT)

Grade 910 questions

Radical to exponent conversions

Grade 910 questions

Radical word problems (ACT)

Grade 910 questions

Rational exponents

Grade 915 questions
Game plan

Prepare for VTCAP inside a game.

Start a VTCAP-tailored placement, then practice Grade 9 skills at the right difficulty.

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More VTCAP grades
Grade 8
Questions

VTCAP Grade 9 math FAQ

What math does the VTCAP cover in Grade 9?

Grade 9 math on the VTCAP is reported across 4 official domains: Number and Quantity/Algebra, Algebra/Functions, Geometry, Statistics and Probability. Each domain page here maps that reporting category to playable practice skills.

What standards is the VTCAP based on?

The Vermont Comprehensive Assessment Program (VTCAP) Mathematics is built on Common Core State Standards for Mathematics (CCSS-M) (Vermont). Vermont administered the Smarter Balanced summative through spring 2022, then replaced it with the Cognia-developed Vermont Comprehensive Assessment Program (VTCAP) beginning spring 2023 — this landing slug predates the switch.

How is Grade 9 math weighted on the VTCAP?

VTCAP Test Specifications (Spring 2026) operational test blueprint, target percent of points per grade — Grade 3: OA 24-35%, NBT 10-14%, NF 16-20%, MD 22-29%, G 6-10%, constructed-response Mathematical Practices 12%. Grade 4: OA 20-31%, NBT 16-20%, NF 20-31%, MD 12-20%, G 6-10%, practices 12%.

How can students practice for the VTCAP Grade 9 math test for free?

Every VTCAP Grade 9 domain page includes free practice questions with worked answers — 32 sample questions across these domains — and each skill links to arcade games that drill it. No sign-up is needed to start.