MCA 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 and informal geometric constructions
Solve problems involving angle measure, area, surface area, and volume
Use facts about supplementary, complementary, vertical, and adjacent angles to write and solve equations

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

Two angles are complementary. One measures $5°$ . What is the other?

$90 - 5 = 85°$ .

Practice playeasy

Similar triangles $MNO$ and $PQR$ have areas $4$ and $36\textsf{.}$ Side $MN$ corresponds to side $PQ\textsf{,}$ and $MN = 5\textsf{.}$ What is the length of $PQ\textsf{?}$

The area ratio is $\dfrac{36}{4} = 9 = k^{2}\textsf{,}$ so $k = 3\textsf{.}$ Then $PQ = 5 \cdot 3 = 15\textsf{.}$

Practice playeasy

Two sides of a triangle measure $13$ and $6\textsf{.}$ Which inequality gives the possible lengths, $x\textsf{,}$ of the third side?

The triangle inequality requires $|13 - 6| < x < 13 + 6\textsf{.}$ Simplifying gives $7 < x < 19\textsf{.}$

Practice playeasy

A rectangular prism has length $3$ , width $3$ , and height $5$ . What is its volume?

$V = 3 \times 3 \times 5 = 45$ .

Practice playeasy

A circle has a radius of $9$ yards. What is the area, in square yards, of the circle?

The area of a circle is $A = \pi r^{2}$ . Substitute $r = 9$ : $A = \pi(9)^{2} = 81\pi\textsf{.}$

Practice playeasy

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

$A = \pi r^2 = 3 \times 1 = 3$ .

Practice playhard

A rectangular prism has volume $160$ cubic inches and height $5$ inches. The length is twice the width. What is the length, in inches?

$V = \ell w h$ and $\ell = 2w$ , so $160 = (2w)(w)(5) = 10w^2$ . Then $w^2 = 16$ , so $w = 4$ and $\ell = 8\text{ in}\textsf{.}$

Practice playmedium

A gardener builds an open-top planter box in the shape of a rectangular prism. The inside measures $8$ inches long, $3$ inches wide, and $4$ inches deep, and the box has no lid. What is the exterior surface area, in square inches, of the planter?

Use $SA = 2lw + 2lh + 2wh$ with $l = 8$ , $w = 3$ , and $h = 4$ . Then $SA = 2(8)(3) + 2(8)(4) + 2(3)(4) = 48 + 64 + 24 = 136$ for a closed box. The open top removes one $8 \times 3$ face, so subtract $24$ to get $136 - 24 = 112$ square inches.