KAP Grade 7 Geometry Practice — Sports Academy Games

What the test measures

Geometry skills

Solve problems involving angle measure, area, surface area, and volume
Draw geometric shapes with given conditions
Describe the two-dimensional figures that result from slicing three-dimensional figures
Use facts about supplementary, complementary, vertical, and adjacent angles
Investigate congruence and similarity in geometric figures

Standards basis

Kansas College and Career Ready Standards for Mathematics (CCRS-M), closely aligned to Common Core State Standards for Mathematics (CCSS-M) — Kansas

How the KAP reports it

Kansas Assessment Program appears to be a state assessment program rather than a vendor framework like Smarter Balanced or PARCC. The public KAP site did not expose a math blueprint or reporting-category document in the pages I could access, so the safest official mapping is to the state's adopted mathematics standards structure that the assessment is built to.

Blueprint & weighting

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

Official sources

Kansas Assessment Program
KAP — About Our Tests (2017 Kansas Mathematics Standards; domains & clusters; reporting categories)
KSDE — Kansas Standards for Mathematics (KCCRS-M standards documents)

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

Two lines cross. One angle formed is $75°$ . What is the vertical angle?

Vertical angles are equal, so the angle is $75°$ .

Practice playeasy

Similar triangles $RST$ and $UVW$ have perimeters $28$ and $42\textsf{.}$ Side $RS$ corresponds to side $UV\textsf{,}$ and $RS = 10\textsf{.}$ What is the length of $UV\textsf{?}$

The scale factor from $\triangle RST$ to $\triangle UVW$ is $\dfrac{42}{28} = \dfrac{3}{2}\textsf{.}$ So $UV = 10 \cdot \dfrac{3}{2} = 15\textsf{.}$

Practice playeasy

A triangle has side lengths $7$ and $3\textsf{.}$ Which inequality represents the possible lengths, $x\textsf{,}$ of the third side?

The triangle inequality requires $|7 - 3| < x < 7 + 3\textsf{.}$ Simplifying gives $4 < x < 10\textsf{.}$

Practice playeasy

A cylinder has radius $2$ and height $3$ . Using $\pi = 3$ , what is its volume?

$V = \pi r^2 h = 3 \times 4 \times 3 = 36$ .

Practice playeasy

A circle has a diameter of $16$ inches. What is the area, in square inches, of the circle?

The radius is half the diameter: $r = \dfrac{16}{2} = 8$ . The area is $A = \pi r^{2} = \pi(8)^{2} = 64\pi\textsf{.}$

Practice playeasy

A circle has radius $2$ . Using $\pi = 3$ , what is its circumference?

$C = 2\pi r = 2 \times 3 \times 2 = 12$ .

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 museum display is shaped like a closed square pyramid with a $6$ -centimeter-by- $6$ -centimeter base. Each triangular face has slant height $5$ centimeters. What is the total exterior surface area, in square centimeters, of the display?

The base area is $6^2 = 36$ . The four congruent triangular faces each have area $\dfrac{1}{2}(6)(5) = 15$ , for a total of $4 \times 15 = 60$ . The surface area is $36 + 60 = 96$ square centimeters.