NeSA Grade 7 Geometry Practice — Sports Academy Games

What the test measures

Geometry skills

Draw, construct, and describe geometrical figures and describe the relationships between them
Solve problems involving scale drawings of geometric figures
Solve problems involving angle measure, area, surface area, and volume
Know and use the formulas for the area and circumference of circles
Understand congruence and similarity using transformations

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

Pentagons $ABCDE$ and $FGHJK$ are similar. The perimeter of pentagon $ABCDE$ is $35\textsf{,}$ and the perimeter of pentagon $FGHJK$ is $21\textsf{.}$ Side $AB$ corresponds to side $FG\textsf{,}$ and $AB = 20\textsf{.}$ What is the length of $FG\textsf{?}$

The scale factor from pentagon $ABCDE$ to pentagon $FGHJK$ is $\dfrac{21}{35} = \dfrac{3}{5}\textsf{.}$ So $FG = 20 \cdot \dfrac{3}{5} = 12\textsf{.}$

Practice playeasy

A rectangular prism has length $2$ , width $3$ , and height $4$ . What is its volume?

$V = 2 \times 3 \times 4 = 24$ .

Practice playeasy

Two angles are supplementary. One measures $25°$ . What is the other?

$180 - 25 = 155°$ .

Practice playeasy

A circle has a diameter of $26$ yards. What is the circumference, in yards, of the circle?

The circumference of a circle is $C = \pi d$ . Substitute $d = 26$ : $C = \pi(26) = 26\pi\textsf{.}$

Practice playeasy

A circle has radius $5$ . Using $\pi = 3$ , what is its area?

$A = \pi r^2 = 3 \times 25 = 75$ .

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 metal pipe is shaped like a cylinder with radius $2$ centimeters and length $10$ centimeters. Both ends of the pipe are open. What is the exterior surface area, in square centimeters, of the pipe?

With both ends open, only the lateral surface is exterior: $SA = 2\pi rh$ . With $r = 2$ and $h = 10$ , $SA = 2\pi(2)(10) = 40\pi$ square centimeters.