ATLAS Grade 8 Geometry Practice — Sports Academy Games

What the test measures

Geometry skills

Understand congruence and similarity using physical models, transparencies, or geometry software
Understand and apply the Pythagorean theorem
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres
Apply the formulas for the volumes of cylinders, cones, and spheres

Standards basis

Arkansas Academic Standards for Mathematics (CCSS-M–aligned / Arkansas-adopted math standards) — Arkansas

How the ATLAS reports it

Arkansas’s statewide assessment system is ATLAS, which the ADE page says began serving in spring 2024. The official public page does not publish a math blueprint there, so the most defensible coverage map is the Arkansas math standards structure that ATLAS is aligned to.

Blueprint & weighting

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

Official sources

Arkansas DESE Assessment: Test Scores
Arkansas DESE home page
Arkansas DESE: 3–10 ATLAS Content Assessments

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

A cylinder has radius $2$ and height $4$ . Using $\pi = 3$ , what is its volume?

$V = \pi r^2 h = 3 \times 4 \times 4 = 48$ .

Practice playeasy

What is the length of the vertical segment from $(5, -3)$ to $(5, 9)$ ?

Both points have $x = 5$ , so the length is $|9 - (-3)| = 12$ .

Practice playmedium

In $\triangle LMN$ , $\angle L$ and $\angle N$ are congruent. Each of these angles measures $38.2^{\circ}$ . What is the measure of $\angle M$ ?

Together the congruent angles measure $2 \times 38.2^{\circ} = 76.4^{\circ}$ , so $\angle M = 180^{\circ} - 76.4^{\circ} = 103.6^{\circ}$ .

Practice playeasy

What is the sum of the interior angles of a quadrilateral?

The interior angle sum of a quadrilateral is $360°$ .

Practice playeasy

A right triangle has leg lengths $16$ ft and $30$ ft. Find the length of the hypotenuse.

The legs are $16$ and $30$ . By the Pythagorean theorem, $16^{2} + 30^{2} = 256 + 900 = 1{,}156$ , so the hypotenuse is $\sqrt{1{,}156} = 34$ .

Practice playeasy

In a right triangle, the legs have lengths $9$ and $12$ . What is the length of the hypotenuse?

$9^{2} + 12^{2} = 81 + 144 = 225$ , so the hypotenuse is $\sqrt{225} = 15\textsf{.}$

Practice playeasy

A kite string is $25$ meters long and is staked $7$ meters from a point on the ground directly below the kite. How high is the kite?

The string is the hypotenuse: $25^{2} - 7^{2} = 625 - 49 = 576$ , so the height is $\sqrt{576} = 24$ meters.

Practice playhard

A rectangle has length $8$ centimeters and area $120$ square centimeters. What is the length of a diagonal of the rectangle, in centimeters?

Area $A = \ell w$ , so $120 = 8w$ and $w = 15$ . The diagonal is the hypotenuse of a right triangle with legs $8$ and $15$ : $\sqrt{8^2 + 15^2} = \sqrt{64 + 225} = \sqrt{289} = 17\text{ cm}\textsf{.}$