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Exam Review

Key Facts: VTCAP Math Grade 9 Exam

39-45 (adaptive)

Operational items on the real test

VTCAP Test Specifications, Spring 2026

45 points

Operational points on the Grade 9 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

Grade 9

Highest grade Vermont assesses in mathematics

VTCAP Test Specifications, Spring 2026

100

Practice questions in this free bank

OpenExamPrep Bank

VTCAP Math Grade 9 is Vermont's untimed, computer-adaptive spring mathematics assessment for 9th graders — the last grade Vermont tests in math — worth 45 operational points and reported on a 1500-2000 scale with 1750 marking proficiency. This free bank is 100 English-language multiple-choice study questions; the official test is also offered in five translated languages and is adaptive rather than fixed-form.

Sample VTCAP Math Grade 9 Practice Questions

Try these sample questions to review concepts for the VTCAP Math Grade 9 exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Solve for x: 2x + 7 = 19
A.x = 6
B.x = 13
C.x = 12
D.x = 5
Explanation: Subtract 7 from both sides: 2x = 12. Then divide by 2: x = 6.
2Solve for x: 5x - 4 = 21
A.x = 17/5
B.x = 5
C.x = 25
D.x = -5
Explanation: Add 4 to both sides: 5x = 25. Divide by 5: x = 5.
3Solve for x: -3x + 10 = 1
A.-11/3
B.-3
C.3
D.9
Explanation: Subtract 10 from both sides: -3x = -9. Divide by -3: x = 3.
4Solve the inequality: 4x - 3 > 9
A.x > 3
B.x < 3
C.x > 12
D.x > 1.5
Explanation: Add 3 to both sides: 4x > 12. Divide by 4: x > 3.
5Find the slope of the line passing through points (1, 3) and (4, 9).
A.1/2
B.2
C.6
D.3
Explanation: Slope m = (y2 - y1) / (x2 - x1) = (9 - 3) / (4 - 1) = 6 / 3 = 2.
6What is the y-intercept of the line y = -4x + 7?
A.-4
B.-7
C.7
D.(7, 0)
Explanation: In slope-intercept form y = mx + b, b represents the y-intercept. Here b = 7.
7Which equation represents a line with a slope of 3 and a y-intercept of -5?
A.y = -5x + 3
B.y = 3x - 5
C.y = 3x + 5
D.y = 5x - 3
Explanation: Using slope-intercept form y = mx + b with m = 3 and b = -5 gives y = 3x - 5.
8If f(x) = 4x - 9, what is the value of f(5)?
A.11
B.20
C.29
D.1
Explanation: Substitute x = 5: f(5) = 4(5) - 9 = 20 - 9 = 11.
9If g(x) = -x + 12, what is g(-4)?
A.8
B.-16
C.16
D.4
Explanation: Substitute x = -4: g(-4) = -(-4) + 12 = 4 + 12 = 16.
10Which set of ordered pairs represents a function?
A.{(1, 2), (1, 3), (2, 4)}
B.{(0, 1), (0, 2), (0, 3)}
C.{(1, 2), (2, 3), (3, 4)}
D.{(4, 5), (4, 6), (5, 7)}
Explanation: A relation is a function if every x-value (domain element) maps to exactly one y-value. In {(1, 2), (2, 3), (3, 4)}, all x-values (1, 2, 3) are distinct.

About the VTCAP Math Grade 9 Exam

The Vermont Comprehensive Assessment Program (VTCAP) Mathematics Grade 9 assessment evaluates student proficiency against a prioritized subset of the high school Common Core State Standards, spanning Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. Grade 9 is the final grade at which Vermont assesses mathematics.

Exam sponsor: Vermont Agency of Education (AOE) 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 9 mathematics test is computer-adaptive, delivered in two sessions, and reports four content indicators: Number and Quantity/Algebra, Algebra/Functions, Geometry, and Statistics and Probability. Machine-scored items target 0-30% DOK 1, 25-80% DOK 2 and 0-5% DOK 3. Unlike Grades 3-8 there are no human-scored constructed responses; multi-part machine-scored items carry 2 or 3 points instead. Our practice bank provides 100 multiple-choice items at easy (30%), medium (50%) and hard (20%) difficulty and does not reproduce the adaptive engine or equation-entry items.

Time Limit

Untimed; scheduling estimate is two sessions totalling about 120-130 minutes

Passing Score

Not pass/fail. Grade 9 mathematics scale score ranges are Level 1 (1500-1654), Level 2 (1655-1749), Level 3 (1750-1861) and Level 4 (1862-2000); 1750 and above (Level 3+) indicates grade-level proficiency.

Exam / Certification Fees

Free for eligible Vermont public school students; VTCAP is state-mandated and state-funded.

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.

31-40%

Algebra / Functions

Target 14-18 of 45 operational points. Function notation, quadratic graphs, factoring, the quadratic formula, exponential growth and decay, and sequences.

20-29%

Geometry

Target 9-13 of 45 operational points. Pythagorean theorem, distance formula, midpoint, transformations, perimeter, area, surface area, and volume.

18-27%

Number and Quantity / Algebra

Target 8-12 of 45 operational points. Quantities and units, radicals and rational exponents, multi-step equations and inequalities, absolute value, slope-intercept form, and systems of equations.

13-20%

Statistics and Probability

Target 6-10 of 45 operational points. Measures of central tendency and spread, box plots, scatter plots, trend lines, residual analysis, and two-way frequency tables.

Preparing for the VTCAP Math Grade 9 Exam

What You Need to Know

  • Passing score: Not pass/fail. Grade 9 mathematics scale score ranges are Level 1 (1500-1654), Level 2 (1655-1749), Level 3 (1750-1861) and Level 4 (1862-2000); 1750 and above (Level 3+) indicates grade-level proficiency.
  • Assessment: The official VTCAP Grade 9 mathematics test is computer-adaptive, delivered in two sessions, and reports four content indicators: Number and Quantity/Algebra, Algebra/Functions, Geometry, and Statistics and Probability. Machine-scored items target 0-30% DOK 1, 25-80% DOK 2 and 0-5% DOK 3. Unlike Grades 3-8 there are no human-scored constructed responses; multi-part machine-scored items carry 2 or 3 points instead. Our practice bank provides 100 multiple-choice items at easy (30%), medium (50%) and hard (20%) difficulty and does not reproduce the adaptive engine or equation-entry items.
  • Time limit: Untimed; scheduling estimate is two sessions totalling about 120-130 minutes
  • Exam / certification fees: Free for eligible Vermont public school students; VTCAP is state-mandated and state-funded. 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 9: Suggested Study Strategy

1Master solving multi-step linear equations, clearing fractions, and applying the distributive property.
2Understand slope as rate of change and be comfortable converting between slope-intercept, point-slope, and standard forms.
3Practice solving systems of equations using substitution, elimination, and graphing in real-world contexts.
4Review factoring quadratics, finding roots, and using the quadratic formula — Algebra/Functions is the largest reporting category at Grade 9.
5Understand exponential functions y = a(b)^x, distinguishing between growth (b > 1) and decay (0 < b < 1).
6Work on statistical measures like mean, median, interquartile range (IQR), and interpreting box plots and scatter plots.

Frequently Asked Questions

What is VTCAP Math Grade 9?

VTCAP Math Grade 9 is Vermont's statewide summative mathematics assessment for 9th grade students, administered annually each spring. Grade 9 is the highest grade at which Vermont assesses mathematics.

What content is tested on VTCAP Grade 9 Math?

A prioritized subset of the high school Common Core standards, reported as Number and Quantity/Algebra (18-27% of points), Algebra/Functions (31-40%), Geometry (20-29%), and Statistics and Probability (13-20%).

How is VTCAP Grade 9 Math scored?

On a 1500-2000 scale placed into four performance levels describing emerging (Level 1), partial (Level 2), satisfactory (Level 3) and thorough (Level 4) understanding. For Grade 9 mathematics, Level 3 begins at 1750 and Level 4 at 1862.

Is a calculator allowed on VTCAP Math Grade 9?

On some sessions but not others. Desmos calculators are embedded universal tools 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, Grade 9 students may use a graphing calculator.

How long is the VTCAP Grade 9 Math assessment?

Sessions are not timed. The published scheduling estimate is two sessions totalling about 120-130 minutes.

Is there a fee for taking the VTCAP Math test?

No, VTCAP is a state-funded assessment administered at no cost to Vermont public school students.

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.