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 2 practice skills and 8 representative questions from the playable bank.

Grade 62 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)

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

A rhombus has diagonals of length 8 mi8\text{ mi} and 12 mi.12\text{ mi}\textsf{.} What is its area?

The area of a rhombus is half the product of the diagonals: 12⋅8⋅12=48 mi2.\dfrac{1}{2} \cdot 8 \cdot 12 = 48\text{ mi}^{2}\textsf{.}

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

A rhombus has diagonals of length 9 dm9\text{ dm} and 12 dm.12\text{ dm}\textsf{.} What is its area?

The area of a rhombus is half the product of the diagonals: 12⋅9⋅12=54 dm2.\dfrac{1}{2} \cdot 9 \cdot 12 = 54\text{ dm}^{2}\textsf{.}

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{.}

Keep practicing

Turn geometry into game time.

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