VTCAP Grade 6 Geometry. Practice it free.

Grade 6 Geometry standards; reported jointly with statistics as the 'Geometry and Statistics and Probability' performance indicator. Blueprint target: 6-10 points (11-19% of the grade 6 test). This Grade 6 reporting domain maps to 2 practice skills and 8 representative questions from the playable bank.

Grade 66.G2 mapped skills
What the test measures

Geometry skills

  1. Solve real-world and mathematical problems involving area, surface area, and volume

Standards basis

Common Core State Standards for Mathematics (CCSS-M) — Vermont

How the VTCAP reports it

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

Topics mapped to this domain

Area formulas (triangle, parallelogram, trapezoid)

Grade 670 questions

Area of a rhombus

Grade 610 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

Find the area of a triangle with base b=8b = 8 and height h=9h = 9.

Triangle area =12⋅b⋅h=12⋅8⋅9=36= \dfrac{1}{2} \cdot b \cdot h = \dfrac{1}{2} \cdot 8 \cdot 9 = 36.

Practice playeasy

A rhombus has diagonals of length 11 m11\text{ m} and 8 m.8\text{ m}\textsf{.} What is its area?

The area of a rhombus is half the product of the diagonals: 12⋅11⋅8=44 m2.\dfrac{1}{2} \cdot 11 \cdot 8 = 44\text{ m}^{2}\textsf{.}

Practice playeasy

Find the area of a parallelogram with base b=2b = 2 and height h=9h = 9.

Parallelogram area =b⋅h=2⋅9=18= b \cdot h = 2 \cdot 9 = 18.

Practice playeasy

A rhombus has diagonals of length 8 in8\text{ in} and 5 in.5\text{ in}\textsf{.} What is its area?

The area of a rhombus is half the product of the diagonals: 12⋅8⋅5=20 in2.\dfrac{1}{2} \cdot 8 \cdot 5 = 20\text{ in}^{2}\textsf{.}

Practice playeasy

Find the area of a trapezoid with bases b1=7b_1 = 7 and b2=10b_2 = 10 and height h=6h = 6.

Trapezoid area =12(b1+b2)⋅h=12(7+10)⋅6=12(17)⋅6=51= \dfrac{1}{2}(b_1 + b_2) \cdot h = \dfrac{1}{2}(7 + 10) \cdot 6 = \dfrac{1}{2}(17) \cdot 6 = 51.

Practice playeasy

A rhombus has diagonals of length 7 ft7\text{ ft} and 8 ft.8\text{ ft}\textsf{.} What is its area?

The area of a rhombus is half the product of the diagonals: 12⋅7⋅8=28 ft2.\dfrac{1}{2} \cdot 7 \cdot 8 = 28\text{ ft}^{2}\textsf{.}

Practice playeasy

Find the area of a triangle with base b=4b = 4 and height h=8h = 8.

Triangle area =12⋅b⋅h=12⋅4⋅8=16= \dfrac{1}{2} \cdot b \cdot h = \dfrac{1}{2} \cdot 4 \cdot 8 = 16.

Practice playeasy

A rhombus has diagonals of length 8 mm8\text{ mm} and 9 mm.9\text{ mm}\textsf{.} What is its area?

The area of a rhombus is half the product of the diagonals: 12⋅8⋅9=36 mm2.\dfrac{1}{2} \cdot 8 \cdot 9 = 36\text{ mm}^{2}\textsf{.}

Keep practicing

Turn geometry into game time.

The VTCAP placement starts with this test's real coverage map and finds the right difficulty.

Blaster Gate game coverBlaster GatePlay →Blitz Tanks game coverBlitz TanksPlay →Blossom Leap game coverBlossom LeapPlay →Bullseye Blitz game coverBullseye BlitzPlay →
Related Common Core standards
6.G.A.1
Geometry in other VTCAP grades
Grade 5Grade 7Grade 8Grade 9
The same skills on other tests
i-ReadyAASAACAPATLAS
Source and test overview
All VTCAP prepOfficial test source
Reporting categories

More Grade 6 domains

Ratios and Proportional RelationshipsGrade 6 Ratios and Proportional Relationships standards; reported as the 'Ratios and Proportional Relationships' performance indicator. Blueprint target: 8-12 points (15-22% of the grade 6 test).8 QsPractice →The Number SystemGrade 6 Number System standards; reported jointly with expressions and equations as 'The Number System, Expressions and Equations' performance indicator. Blueprint target: 8-12 points (15-22% of the grade 6 test).8 QsPractice →Expressions and EquationsGrade 6 Expressions and Equations standards; reported jointly with the number system as 'The Number System, Expressions and Equations' performance indicator. Blueprint target: 8-12 points (15-22% of the grade 6 test).8 QsPractice →Statistics and ProbabilityGrade 6 Statistics and Probability standards; reported jointly with geometry as the 'Geometry and Statistics and Probability' performance indicator. Blueprint target: 6-10 points (11-19% of the grade 6 test).8 QsPractice →