ILEARN 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, including computing actual lengths and areas from a scale drawing
Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle
Solve real-world and mathematical problems involving angle measure, area, surface area, and volume

Standards basis

Indiana Academic Standards for Mathematics — Indiana

How the ILEARN reports it

Indiana iLEARN is a state assessment system aligned to Indiana’s Academic Standards rather than a shared national testing framework. The public iLEARN page says the math assessment is a computer-adaptive test measuring Indiana mathematics standards, and the through-year summative measures the full set of skills expected by year end ([Indiana DOE iLEARN](https://www.in.gov/doe/students/assessment/ilearn/)).

Blueprint & weighting

The iLEARN public page states that each Checkpoint measures a subset of skills and the summative measures the full set of skills by the end of the school year, but the official page and accessible sources retrieved here do not publish per-domain item percentages or weightings for math ([Indiana DOE iLEARN](https://www.in.gov/doe/students/assessment/ilearn/), [Indiana DOE Formative (Interim) Assessment Grant Guidance](https://www.in.gov/doe/files/2026-2027-Formative-Interim-Assessment-Grant-Guidance.pdf)).

Official sources

Indiana DOE iLEARN
Indiana DOE Formative (Interim) Assessment Grant Guidance

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 a square base and height $6$ meters. Its volume is $96$ cubic meters. What is the side length of the base, in meters?

$V = s^2 h$ , so $96 = s^2 \cdot 6$ and $s^2 = 16$ . Then $s = 4\text{ m}\textsf{.}$

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.