ILEARN Grade 8 Geometry Practice — Sports Academy Games

What the test measures

Geometry skills

Understand congruence and similarity using physical models, transparencies, or geometry software
Verify experimentally the properties of rotations, reflections, and translations
Understand and apply the Pythagorean Theorem
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres
Use the Pythagorean Theorem to determine unknown side lengths in right triangles

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the full set of skills by the end of the school year, but the official page and accessible sources retrieved here do not publish per-domain item percentages or weightings for math ([Indiana DOE iLEARN](https://www.in.gov/doe/students/assessment/ilearn/), [Indiana DOE Formative (Interim)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 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

Find the hypotenuse of a right triangle whose legs are $21$ m and $28$ m.

The legs are $21$ and $28$ . By the Pythagorean theorem, $21^{2} + 28^{2} = 441 + 784 = 1{,}225$ , so the hypotenuse is $\sqrt{1{,}225} = 35$ .

Practice playeasy

A right triangle has one leg $5$ and hypotenuse $13$ . What is the other leg?

$13^{2} - 5^{2} = 169 - 25 = 144$ , so the other leg is $\sqrt{144} = 12\textsf{.}$

Practice playeasy

A $26$ -meter guy wire runs from the top of a pole to a stake $24$ meters from the pole's base. How tall is the pole?

The wire is the hypotenuse: $26^{2} - 24^{2} = 676 - 576 = 100$ , so the pole is $\sqrt{100} = 10$ meters tall.

Practice playhard

A rectangle has length $8$ centimeters and area $120$ square centimeters. What is the length of a diagonal of the rectangle, in centimeters?

Area $A = \ell w$ , so $120 = 8w$ and $w = 15$ . The diagonal is the hypotenuse of a right triangle with legs $8$ and $15$ : $\sqrt{8^2 + 15^2} = \sqrt{64 + 225} = \sqrt{289} = 17\text{ cm}\textsf{.}$