RISE Grade 7 Geometry Practice — Sports Academy Games

What the test measures

Geometry skills

Draw, construct, and describe geometrical figures and solve problems involving scale drawings and informal geometric constructions
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume

Standards basis

Utah Core Standards for Mathematics (CCSS-aligned Utah math standards) — Utah

How the RISE reports it

Utah’s RISE mathematics assessment is a state assessment aligned to Utah Core Standards rather than a separately branded national framework. The official Utah pages point to Utah Core standards resources and the RISE administration guidance, with no separate public math blueprint published on the assessment page itself.

Blueprint & weighting

RISE mathematics weighting by domain was not located on the official Utah assessment page; the official page only points to the RISE assessment overview/administration resources and the Utah Core Standards resources. Grade 6 administration guidance notes a two-segment math test with Segment 1 no calculator and Segment 2 calculator allowed, and the proctor guide states Mathematics has an expected testing time of 90 minutes for most students and 135 minutes for all students.

Official sources

Utah State Board of Education Assessments
Utah State Board of Education Learning Resources for Families
Utah State Board of Education Assessment Contacts PDF

Practice by skill

Topics mapped to this domain

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8 free questions · 0/0 correct

Practice playeasy

A rectangular prism has length $2$ , width $5$ , and height $6$ . What is its volume?

$V = 2 \times 5 \times 6 = 60$ .

Practice playeasy

Two angles are supplementary. One measures $45°$ . What is the other?

$180 - 45 = 135°$ .

Practice playeasy

A circle has a diameter of $20$ feet. What is the circumference, in feet, of the circle?

The circumference of a circle is $C = \pi d$ . Substitute $d = 20$ : $C = \pi(20) = 20\pi\textsf{.}$

Practice playeasy

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

$A = \pi r^2 = 3 \times 9 = 27$ .

Practice playeasy

Similar rectangles $WXYZ$ and $ABCD$ have areas $16$ and $64\textsf{.}$ Side $WX$ corresponds to side $AB\textsf{,}$ and $WX = 5\textsf{.}$ What is the length of $AB\textsf{?}$

The area ratio is $\dfrac{64}{16} = 4 = k^{2}\textsf{,}$ so the scale factor is $k = 2\textsf{.}$ Then $AB = 5 \cdot 2 = 10\textsf{.}$

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 playhard

A wedge-shaped door stopper is a closed right triangular prism. The triangular faces are right triangles with leg lengths $3$ inches and $4$ inches, and the stopper is $10$ inches wide. What is the total exterior surface area, in square inches, of the stopper?

The two triangular faces have total area $2 \times \dfrac{1}{2}(3)(4) = 12$ . The three rectangular faces have areas $3(10) = 30$ , $4(10) = 40$ , and $5(10) = 50$ , where $5$ is the hypotenuse. The total is $12 + 30 + 40 + 50 = 132$ square inches.