TCAP Grade 6 Geometry. Practice it free.

Solve real-world and mathematical problems involving area, surface area, and volume; and draw polygons in the coordinate plane. This Grade 6 reporting domain maps to 1 practice skill and 8 representative questions from the playable bank.

Grade 61 mapped skills
What the test measures

Geometry skills

  1. 6.G.A.1 Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing or decomposing them

  2. 6.G.A.2 Find the volume of a right rectangular prism with fractional edge lengths

  3. 6.G.A.3 Draw polygons in the coordinate plane given coordinates for the vertices

  4. 6.G.A.4 Represent three-dimensional figures using nets made up of rectangles and triangles

Standards basis

Tennessee Academic Standards for Mathematics — Tennessee

How the TCAP reports it

TCAP math is Tennessee’s state assessment program and its blueprints are aligned to Tennessee Academic Standards, which closely mirror the Common Core content structure in grades 3-8 and the CCSS-style high school conceptual categories. The blueprint page lists the current 2025-26 assessment overviews, including Math Grade 2, Grades 3-5, Grades 6-8, and Math EOC. [Tennessee Department of Education](https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html)

Blueprint & weighting

Published TCAP math blueprints assign content emphasis by grade/course, but the exact percentage table was not recoverable from the accessible blueprint page in this session. The state blueprint landing page confirms the math overviews but did not expose the PDF links in the fetched page content. [Tennessee Department of Education](https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html)

Practice by skill

Topics mapped to this domain

Area formulas (triangle, parallelogram, trapezoid)

Grade 670 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

Find the area of a parallelogram with base b=4b = 4 and height h=6h = 6.

Parallelogram area =b⋅h=4⋅6=24= b \cdot h = 4 \cdot 6 = 24.

Practice playeasy

Find the area of a trapezoid with bases b1=5b_1 = 5 and b2=6b_2 = 6 and height h=4h = 4.

Trapezoid area =12(b1+b2)⋅h=12(5+6)⋅4=12(11)⋅4=22= \dfrac{1}{2}(b_1 + b_2) \cdot h = \dfrac{1}{2}(5 + 6) \cdot 4 = \dfrac{1}{2}(11) \cdot 4 = 22.

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

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

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

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

Find the area of a parallelogram with base b=5b = 5 and height h=10h = 10.

Parallelogram area =b⋅h=5⋅10=50= b \cdot h = 5 \cdot 10 = 50.

Practice playeasy

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

Trapezoid area =12(b1+b2)⋅h=12(6+10)⋅7=12(16)⋅7=56= \dfrac{1}{2}(b_1 + b_2) \cdot h = \dfrac{1}{2}(6 + 10) \cdot 7 = \dfrac{1}{2}(16) \cdot 7 = 56.

Keep practicing

Turn geometry into game time.

The TCAP 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 TCAP grades
Grade 5Grade 7High School (EOC courses)
The same skills on other tests
i-ReadyAASAACAPATLAS
Source and test overview
All TCAP prepOfficial test source
Reporting categories

More Grade 6 domains

Ratios and Proportional RelationshipsUnderstand ratio concepts and use ratio reasoning to solve problems.8 QsPractice →The Number SystemApply and extend previous understandings of multiplication and division to divide fractions by fractions; compute fluently with multi-digit numbers and common factors and multiples; and extend the number system to rational numbers.8 QsPractice →Expressions and EquationsApply and extend previous understandings of arithmetic to algebraic expressions and equations.8 QsPractice →Statistics and ProbabilityDevelop understanding of statistical variability and summarize and describe distributions.8 QsPractice →