CMAS Grades 6-8 Geometry Practice — Sports Academy Games

What the test measures

Geometry skills

Draw, construct, and describe geometrical figures and describe the relationships between them
Solve real-world and mathematical problems involving area, surface area, and volume
Understand congruence and similarity using physical models, transparencies, or geometry software
Solve problems involving scale drawings and indirect measurement
Solve real-world and mathematical problems involving angle relationships, congruence, and transformations

Standards basis

Colorado Academic Standards (mathematics) — Colorado

How the CMAS reports it

CMAS is Colorado’s statewide summative assessment system aligned to the Colorado Academic Standards rather than a national framework like SBAC or NAEP. The official CMAS page and Colorado standards materials indicate the math assessment is built from Colorado Academic Standards, but the retrieved official CMAS page did not expose a separate math blueprint document.

Blueprint & weighting

No official CMAS math domain weighting/percent-of-items blueprint was available in the retrieved primary CMAS materials.

Official sources

Colorado Department of Education CMAS page
Colorado Department of Education Colorado Academic Standards and Essential Skills page

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

Two angles are supplementary. One measures $45°$ . What is the other?

$180 - 45 = 135°$ .

Practice playeasy

A circle has a diameter of $20$ feet. What is the circumference, in feet, of the circle?

The circumference of a circle is $C = \pi d$ . Substitute $d = 20$ : $C = \pi(20) = 20\pi\textsf{.}$

Practice playeasy

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

$A = \pi r^2 = 3 \times 9 = 27$ .

Practice playeasy

Similar rectangles $WXYZ$ and $ABCD$ have areas $16$ and $64\textsf{.}$ Side $WX$ corresponds to side $AB\textsf{,}$ and $WX = 5\textsf{.}$ What is the length of $AB\textsf{?}$

The area ratio is $\dfrac{64}{16} = 4 = k^{2}\textsf{,}$ so the scale factor is $k = 2\textsf{.}$ Then $AB = 5 \cdot 2 = 10\textsf{.}$

Practice playmedium

In $\triangle GHI$ , $\angle G$ and $\angle I$ are congruent. The measure of $\angle H$ is $88.4^{\circ}$ . What is the measure of $\angle G$ ?

Each congruent angle is $\dfrac{180^{\circ} - 88.4^{\circ}}{2} = 45.8^{\circ}$ .

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 playeasy

What is the sum of the interior angles of a nonagon?

A nonagon has $9$ sides: $(9-2) \times 180 = 1260°$ .

Practice playhard

A wedge-shaped door stopper is a closed right triangular prism. The triangular faces are right triangles with leg lengths $3$ inches and $4$ inches, and the stopper is $10$ inches wide. What is the total exterior surface area, in square inches, of the stopper?

The two triangular faces have total area $2 \times \dfrac{1}{2}(3)(4) = 12$ . The three rectangular faces have areas $3(10) = 30$ , $4(10) = 40$ , and $5(10) = 50$ , where $5$ is the hypotenuse. The total is $12 + 30 + 40 + 50 = 132$ square inches.