AASA Grade 7 Geometry. Practice it free.

Draw, construct, and describe geometrical figures and describe the relationships between them. This Grade 7 reporting domain maps to 8 practice skills and 8 representative questions from the playable bank.

Grade 78 mapped skills

What the test measures

Geometry skills

Solve problems involving scale drawings of geometric figures
Draw geometric shapes with given conditions
Describe the two-dimensional figures that result from slicing three-dimensional figures
Solve real-world and mathematical problems involving area, surface area, and volume

Standards basis

Arizona 2016 Mathematics Standards — Arizona

How the AASA reports it

AASA is Arizona’s statewide achievement test for Grades 3-8, and its math item specifications are aligned to Arizona’s 2016 Mathematics Standards rather than a national framework like SBAC or SAT. The public AASA page does not show a fixed common-core-style domain blueprint; instead, the official math coverage is embedded in grade-level item specifications and scoring guides.

Blueprint & weighting

AASA uses the Independent / state-specific framework (by grade domains structure).

Official sources

Arizona Department of Education AASA
Arizona Department of Education Mathematics Standards

Practice by skill

Topics mapped to this domain

Effect of scale factor on similar figures

Grade 710 questions

Multi-step perimeter, area, and volume (ACT)

Grade 77 questions

Surface area in context (SAT)

Grade 710 questions

Surface area and volume

Grade 1015 questions

Volume of prisms and cylinders

Grade 731 questions

Area and circumference of circles

Grade 710 questions

Circle formulas

Grade 729 questions

Triangle inequality

Grade 710 questions

Try it now

8 free questions · 0/0 correct

Practice playeasy

Similar triangles $STU$ and $VWX$ have areas $36$ and $9\textsf{.}$ Side $ST$ corresponds to side $VW\textsf{,}$ and $ST = 12\textsf{.}$ What is the length of $VW\textsf{?}$

The scale factor from $\triangle STU$ to $\triangle VWX$ satisfies $k^{2} = \dfrac{9}{36} = \dfrac{1}{4}\textsf{,}$ so $k = \dfrac{1}{2}\textsf{.}$ Then $VW = 12 \cdot \dfrac{1}{2} = 6\textsf{.}$

Practice playhard

A rectangular prism has volume $72$ cubic centimeters and height $4$ centimeters. The length is twice the width. What is the width, in centimeters?

$V = \ell w h$ and $\ell = 2w$ , so $72 = (2w)(w)(4) = 8w^2$ . Then $w^2 = 9$ and $w = 3\text{ cm}\textsf{.}$

Practice playmedium

A shipping company uses closed rectangular cartons that measure $6$ centimeters by $4$ centimeters by $5$ centimeters. What is the total exterior surface area, in square centimeters, of one carton?

Use $SA = 2lw + 2lh + 2wh$ with $l = 6$ , $w = 4$ , and $h = 5$ . Then $SA = 2(6)(4) + 2(6)(5) + 2(4)(5) = 48 + 60 + 40 = 148$ square centimeters.

Practice playeasy

Find the surface area of a sphere with radius $1$ . Use $\pi = 3$ .

$SA = 4 \pi r^{2} = 4 \times 3 \times 1 = 12$ .

Practice playeasy

A cylinder has $r^2 = 9$ and height $3$ . Using $\pi = 3$ , what is its volume?

$V = \pi r^2 h = 3 \times 9 \times 3 = 81$ .

Practice playeasy

A circle has a radius of $8$ inches. What is the circumference, in inches, of the circle?

The circumference of a circle is $C = 2\pi r$ . Substitute $r = 8$ : $C = 2\pi(8) = 16\pi\textsf{.}$

Practice playeasy

A circle has diameter $6$ . Using $\pi = 3$ , what is its circumference?

$C = \pi d = 3 \times 6 = 18$ .

Practice playmedium

In a triangle, two sides each have length $10\textsf{.}$ Which inequality represents the possible lengths, $x\textsf{,}$ of the third side?

The triangle inequality requires $|10 - 10| < x < 10 + 10\textsf{.}$ Simplifying gives $0 < x < 20\textsf{.}$

Keep practicing

Turn geometry into game time.

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

Batting Cage game cover

Batting CagePlay →

Blaster Gate game cover

Blaster GatePlay →

Blitz Tanks game cover

Blitz TanksPlay →

Buzzer Beater game cover

Buzzer BeaterPlay →

Related Common Core standards

7.G.B.6 HSG.GMD.A.3 8.G.C.9 7.G.B.4

Geometry in other AASA grades

Grade 5 Grade 6 Grade 8

The same skills on other tests

i-Ready ACAP ATLAS Forward

Source and test overview

All AASA prep Official test source

Reporting categories

More Grade 7 domains

Ratios and Proportional RelationshipsUse proportional relationships to solve multistep ratio and percent problems.8 QsPractice →The Number SystemApply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.8 QsPractice →Expressions and EquationsUse properties of operations to generate equivalent expressions and solve problems using algebraic reasoning.8 QsPractice →Statistics and ProbabilityUse random sampling to draw inferences about a population, and draw informal comparative inferences about two populations.8 QsPractice →