ATLAS Algebra II Geometry Practice — Sports Academy Games

What the test measures

Geometry skills

Translate between the geometric description and the equation for a conic section
Apply geometric concepts in modeling situations
Understand and apply theorems about circles and other geometric figures
Use similarity, right-triangle trigonometry, and the Pythagorean theorem

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

In a $30$ - $60$ - $90$ triangle the short leg is $10$ . What is the hypotenuse?

The hypotenuse is twice the short leg: $2 \times 10 = 20$ .

Practice playeasy

A ranch has $414$ cattle and a density of $18$ cattle per acre. What is the area of the ranch, in acres?

Set up the proportion $\dfrac{18\text{ cattle}}{1\text{ acre}} = \dfrac{414\text{ cattle}}{x\text{ acres}}\textsf{.}$ Cross-multiplying gives $18x = 414\textsf{,}$ so $x = 23\text{ acres}\textsf{.}$

Practice playeasy

What is the radius of the circle $(x - 1)^{2} + (y - 5)^{2} = 36$ ?

The form $(x - h)^{2} + (y - k)^{2} = r^{2}$ gives $r^{2} = 36$ , so $r = \sqrt{36} = 6$ .

Practice playeasy

In a $45$ - $45$ - $90$ triangle one leg is $20$ . What is the other leg?

Both legs of a $45$ - $45$ - $90$ triangle are equal, so the other leg is $20$ .

Practice playeasy

A city park has a density of $35$ picnic tables per acre and covers $24$ acres. How many picnic tables are in the park?

Set up the proportion $\dfrac{35\text{ picnic tables}}{1\text{ acre}} = \dfrac{x\text{ picnic tables}}{24\text{ acres}}\textsf{.}$ Cross-multiplying gives $x = 35 \times 24 = 840\text{ picnic tables}\textsf{.}$

Practice playeasy

For the ellipse $\dfrac{x^{2}}{25} + \dfrac{y^{2}}{9} = 1$ , what is the length of the semi-minor axis?

The smaller denominator is $b^{2} = 9$ , so the semi-minor axis has length $b = \sqrt{9} = 3$ .

Practice playeasy

In a $30$ - $60$ - $90$ triangle the hypotenuse is $14$ . What is the short leg?

The short leg is half the hypotenuse: $\dfrac{14}{2} = 7$ .

Practice playmedium

A storage tank holds liquid at a density of $8$ pounds per cubic foot. If the tank contains $1{,}920$ pounds of liquid, what is the volume of the liquid, in cubic feet?

Set up the proportion $\dfrac{8\text{ pounds}}{1\text{ cubic foot}} = \dfrac{1{,}920\text{ pounds}}{x\text{ cubic feet}}\textsf{.}$ Cross-multiplying gives $8x = 1{,}920\textsf{,}$ so $x = 240\text{ ft}^{3}\textsf{.}$