KSA Grade 7 Geometry Practice — Sports Academy Games

What the test measures

Geometry skills

Solve problems involving scale drawings of geometric figures
Know the formulas for the area and circumference of a circle and use them to solve problems
Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle
Solve real-world and mathematical problems involving area, surface area, and volume of two- and three-dimensional objects
Use proportional reasoning to solve geometric problems

Standards basis

Kentucky Academic Standards (KAS) for Mathematics — Kentucky

How the KSA reports it

Kentucky KSA is a state summative assessment built on Kentucky Academic Standards (KAS) rather than a separate national framework. For mathematics, the assessed content closely follows Common Core–style grade-band domains in grades 3-8 and uses Kentucky high-school conceptual categories in grade 10.

Blueprint & weighting

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

Official sources

Kentucky Department of Education — Kentucky Summative Assessment
Kentucky Department of Education — Mathematics
Kentucky Department of Education — Kentucky Laws and Regulations

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

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 playeasy

Find the volume of a cylinder with radius $2$ and height $4$ . Use $\pi = 3$ .

$V = \pi r^2 h = 3 \times 4 \times 4 = 48$ .

Practice playeasy

A rectangular prism has length $2$ , width $5$ , and height $6$ . What is its volume?

$V = 2 \times 5 \times 6 = 60$ .

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 playhard

A rectangular prism has a square base and height $6$ meters. Its volume is $96$ cubic meters. What is the side length of the base, in meters?

$V = s^2 h$ , so $96 = s^2 \cdot 6$ and $s^2 = 16$ . Then $s = 4\text{ m}\textsf{.}$

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.