NDSA Grade 7 Geometry Practice — Sports Academy Games

What the test measures

Geometry skills

Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing.
Draw, construct, and describe geometrical figures and describe the relationships between them.
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Standards basis

North Dakota State Content Standards for Mathematics — North Dakota

How the NDSA reports it

North Dakota administered its own state assessment program (the NDSA, a Cambium computer-adaptive test in grades 3-8 and 10; replaced by ND A+ beginning spring 2025). An official NDSA mathematics public-facing CAT blueprint (Cambium/NDDPI, Oct 2020) does exist and lists per-grade reporting categories with percentage ranges, but its full per-grade table could not be retrieved character-for-character from a citable primary source for transcription here (the Cambium content CDN blocks programmatic access). The NDSA reporting categories are the CCSS-M grade-level domains: the assessment was built on North Dakota's 2017 math standards, which are verbatim CCSS-M organized by grade-level domains. The coverage map below uses North Dakota's 2023-standards-style domain/standard codes (e.g. 3.AR.OA) but the skill content is CCSS-M.

Blueprint & weighting

An official NDSA mathematics CAT blueprint (Cambium/NDDPI public-facing CAT version, Oct 2020) publishes per-grade reporting-category percentage ranges (e.g. grade 3 Operations and Algebraic Thinking ~31-34%, Number and Operations in Base Ten ~22-24%; grade 6 groups Ratios & Proportional Relationships and The Number System ~28-34% and Expressions and Equations ~25-29%). The complete per-grade table could not be retrieved verbatim from a citable primary source (the Cambium content CDN returns HTTP 403 to programmatic fetches), so domain weights in the mapping are left null rather than transcribing partial/uncertain figures or splitting blueprint percentages across the grade-6+ domain groupings.

Official sources

North Dakota DPI – State Assessment page
North Dakota DPI – Home
North Dakota Department of Agriculture – Ag Mag teacher guide with ND math standards references

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

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

Two angles are complementary. One measures $10°$ . What is the other?

$90 - 10 = 80°$ .

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 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 $160$ cubic inches and height $5$ inches. The length is twice the width. What is the length, in inches?

$V = \ell w h$ and $\ell = 2w$ , so $160 = (2w)(w)(5) = 10w^2$ . Then $w^2 = 16$ , so $w = 4$ and $\ell = 8\text{ in}\textsf{.}$

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?