NeSA 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
Perform and describe dilations, translations, rotations, and reflections in the coordinate plane

Standards basis

Nebraska College and Career Ready Standards for Mathematics (2019; Common Core–aligned domain structure) — Nebraska

How the NeSA reports it

Nebraska’s statewide math assessment is administered through NSCAS, but the official assessment page does not publish a test-specific math blueprint or reporting-category document on the page reviewed. In the absence of a public blueprint, the most defensible coverage map is the Nebraska College and Career Ready Standards for Mathematics, which are the state’s current standards basis and closely mirror Common Core-style grade-level domains.

Blueprint & weighting

No public test blueprint or per-domain item weighting was located on the Nebraska Department of Education assessment page reviewed. The page references NSCAS testing windows and general statewide assessment materials, but not math reporting-category percentages.

Official sources

Nebraska Department of Education – Statewide Assessment
Nebraska Department of Education – Press release noting current Nebraska College and Career Ready Standards approved in 2019

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 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 $15$ : $\sqrt{8^2 + 15^2} = \sqrt{64 + 225} = \sqrt{289} = 17\text{ cm}\textsf{.}$