MCA Grade 8 Geometry Practice — Sports Academy Games

What the test measures

Geometry skills

Understand congruence and similarity using physical models, transparencies, or geometry software
Understand and apply the Pythagorean theorem
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres
Analyze and explain the effects of dilations, translations, rotations, and reflections on two-dimensional figures

Standards basis

Minnesota Academic Standards in Mathematics (2007; assessed by MCA-III in grades 3-8 and 11 through 2026-27. 2022 standards phase in with MCA-IV beginning 2027-28) — Minnesota

How the MCA reports it

Minnesota’s MCA math is a state assessment tied to Minnesota Academic Standards in Mathematics rather than a separate national framework. The official public resources available here point to Minnesota-specific standards implementation, and absent a test blueprint, the coverage map should be organized by the state’s grade-level math domains that closely parallel CCSS-M. Note: the current MCA-III assesses the 2007 Minnesota standards in grades 3-8 and 11; Minnesota administers a single comprehensive high-school (grade 11) math test, NOT Algebra I / Geometry / Algebra II end-of-course exams — the 'High School / MCA EOC' band below is the grade-11 HS administration. (MCA-IV on the 2022 standards begins 2027-28.)

Blueprint & weighting

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

Official sources

Minnesota Department of Education MCA page
Minnesota Academic Standards in Mathematics implementation reference
MCA-III Mathematics Test Specifications, Grades 3-8 and 11

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

What is the distance from $(1, 2)$ to $(4, 6)$ ?

$\Delta x = 3$ , $\Delta y = 4$ . $\sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5$ .

Practice playmedium

The shorter leg of a right triangle is $11$ centimeters and the longer leg is $60$ centimeters. What is the length of the hypotenuse?

The legs are $11$ and $60$ . By the Pythagorean theorem, $11^{2} + 60^{2} = 121 + 3{,}600 = 3{,}721$ , so the hypotenuse is $\sqrt{3{,}721} = 61$ .

Practice playeasy

The hypotenuse of a right triangle is $25$ , and one leg is $7$ . Find the other leg.

$25^{2} - 7^{2} = 625 - 49 = 576$ , so the other leg is $\sqrt{576} = 24\textsf{.}$

Practice playeasy

A kite string is $25$ meters long and is staked $7$ meters from a point on the ground directly below the kite. How high is the kite?

The string is the hypotenuse: $25^{2} - 7^{2} = 625 - 49 = 576$ , so the height is $\sqrt{576} = 24$ meters.

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 $15$ : $\sqrt{8^2 + 15^2} = \sqrt{64 + 225} = \sqrt{289} = 17\text{ cm}\textsf{.}$