Forward Grade 7 Geometry Practice — Sports Academy Games

What the test measures

Geometry skills

Solve problems involving scale drawings
Describe the two-dimensional figures that result from slicing three-dimensional figures
Solve problems involving area, surface area, and volume of geometric figures composed of two- and three-dimensional shapes
Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem
Solve real-world and mathematical problems involving angle measure, area, surface area, and volume

Standards basis

Wisconsin Standards for Mathematics — Wisconsin

How the Forward reports it

Wisconsin’s Forward Exam is a state assessment designed to measure students against the recently updated Wisconsin Academic Standards, rather than a separate national framework. The official Forward Exam page confirms the math assessment is administered in grades 3-8 and is aligned to the Wisconsin Academic Standards, but it does not publish a math-specific blueprint on the page itself.

Blueprint & weighting

Not published in the official Forward Exam page content available here. The page confirms alignment to Wisconsin Academic Standards and administration in grades 3-8, but no math blueprint percentages or reporting-category weights are provided on the page content retrieved.

Official sources

Wisconsin DPI Forward Exam
Wisconsin DPI Mathematics in Wisconsin

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

A rectangular prism has length $2$ , width $4$ , and height $9$ . What is its volume?

$V = 2 \times 4 \times 9 = 72$ .

Practice playeasy

Rectangles $JKLM$ and $NPQR$ are similar. The perimeter of rectangle $JKLM$ is $18\textsf{,}$ and the perimeter of rectangle $NPQR$ is $45\textsf{.}$ Side $JK$ corresponds to side $NP\textsf{,}$ and $JK = 6\textsf{.}$ What is the length of $NP\textsf{?}$

The scale factor from rectangle $JKLM$ to rectangle $NPQR$ equals the perimeter ratio $\dfrac{45}{18} = \dfrac{5}{2}\textsf{.}$ So $NP = 6 \cdot \dfrac{5}{2} = 15\textsf{.}$

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 paint store sells open-top metal cans with radius $2$ inches and height $6$ inches. The cans have a bottom but no lid. What is the exterior surface area, in square inches, of one open can?

An open can has one circular base and a lateral surface: $SA = \pi r^2 + 2\pi rh$ . With $r = 2$ and $h = 6$ , $SA = \pi(4) + 2\pi(2)(6) = 4\pi + 24\pi = 28\pi$ square inches.