WVGSA Grade 7 Geometry Practice — Sports Academy Games

What the test measures

Geometry skills

Solve problems involving scale drawings.
Construct geometric figures with given conditions.
Describe slices of three-dimensional figures.
Use circle formulas for area and circumference.
Use angle relationships to solve for unknown angles.
Solve area, volume, and surface area problems for composite figures.

Standards basis

West Virginia College- and Career-Readiness Standards for Mathematics (WVBE Policy 2520.2B) — West Virginia

How the WVGSA reports it

West Virginia’s General Summative Assessment is a state assessment aligned to the West Virginia College- and Career-Readiness Standards rather than a separate national assessment framework. The math blueprint follows CCSS-style grade-band domains and clusters, but the standards are the state’s own West Virginia College- and Career-Readiness Standards.

Blueprint & weighting

WVGSA uses the Independent / state-specific framework (by grade domains structure).

Official sources

West Virginia Department of Education: General Summative Assessment
West Virginia Department of Education: Grade 3 Mathematics Standards
West Virginia Department of Education: Grade 4 Mathematics Standards

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

A cylinder has radius $1$ and height $5$ . Using $\pi = 3$ , what is its volume?

$V = \pi r^2 h = 3 \times 1 \times 5 = 15$ .

Practice playeasy

Two angles are complementary. One measures $60°$ . What is the other?

$90 - 60 = 30°$ .

Practice playeasy

A circle has a radius of $11$ centimeters. What is the circumference, in centimeters, of the circle?

The circumference of a circle is $C = 2\pi r$ . Substitute $r = 11$ : $C = 2\pi(11) = 22\pi\textsf{.}$

Practice playeasy

A circle has radius $1$ . Using $\pi = 3$ , what is its circumference?

$C = 2\pi r = 2 \times 3 \times 1 = 6$ .

Practice playeasy

Similar triangles $GHI$ and $JKL$ have perimeters $16$ and $48\textsf{.}$ Side $GH$ corresponds to side $JK\textsf{,}$ and $GH = 5\textsf{.}$ What is the length of $JK\textsf{?}$

The scale factor from $\triangle GHI$ to $\triangle JKL$ is $\dfrac{48}{16} = 3\textsf{.}$ Corresponding sides scale by $3\textsf{,}$ so $JK = 5 \cdot 3 = 15\textsf{.}$

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 playmedium

A factory seals soup in closed cylindrical cans with radius $3$ centimeters and height $5$ centimeters. What is the total exterior surface area, in square centimeters, of one closed can?

A closed cylinder has two circular bases and a lateral surface: $SA = 2\pi r^2 + 2\pi rh$ . With $r = 3$ and $h = 5$ , $SA = 2\pi(9) + 2\pi(3)(5) = 18\pi + 30\pi = 48\pi$ square centimeters.