NH SAS Grade 6 Geometry. Practice it free.

Solves problems involving area, surface area, and coordinate geometry. 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. Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles

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

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

  4. Represent three-dimensional figures using nets and solve surface area problems

Standards basis

Common Core State Standards for Mathematics (CCSS-M) / New Hampshire mathematics standards — New Hampshire

How the NH SAS reports it

New Hampshire SAS is the state assessment system, but the official math reporting structure was not accessible from the state page in this session. In practice, New Hampshire’s math assessments are aligned to the state’s K-12 mathematics standards, which closely mirror Common Core grade-level domains and clusters.

Blueprint & weighting

Not published in the accessible source set used here.

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 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

A rhombus has diagonals of length 8 yd8\text{ yd} and 10 yd.10\text{ yd}\textsf{.} What is its area?

The area of a rhombus is half the product of the diagonals: 12⋅8⋅10=40 yd2.\dfrac{1}{2} \cdot 8 \cdot 10 = 40\text{ yd}^{2}\textsf{.}

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.

Practice playeasy

A rhombus has diagonals of length 6 km6\text{ km} and 14 km.14\text{ km}\textsf{.} What is its area?

The area of a rhombus is half the product of the diagonals: 12⋅6⋅14=42 km2.\dfrac{1}{2} \cdot 6 \cdot 14 = 42\text{ km}^{2}\textsf{.}

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{.}

Keep practicing

Turn geometry into game time.

The NH SAS 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 NH SAS grades
Grade 5Grade 7Grade 8
The same skills on other tests
i-ReadyAASAACAPATLAS
Source and test overview
All NH SAS prepOfficial test source
Reporting categories

More Grade 6 domains

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