ACAP 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 of geometric figures
Know the formulas for 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
Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects

Standards basis

Alabama Course of Study: Mathematics — Alabama

How the ACAP reports it

Alabama’s ACAP Summative is a state assessment tied to Alabama’s own K-12 mathematics standards and reporting structure rather than a national consortium blueprint. The publicly accessible assessment page does not expose a separate ACAP math blueprint in the fetched content, so the safest official coverage basis is Alabama’s mathematics standards organization into grade-level domains.

Blueprint & weighting

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

Official sources

Alabama Department of Education - Assessment
Alabama Office of Mathematics Improvement

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

Pentagons $ABCDE$ and $FGHJK$ are similar. The perimeter of pentagon $ABCDE$ is $35\textsf{,}$ and the perimeter of pentagon $FGHJK$ is $21\textsf{.}$ Side $AB$ corresponds to side $FG\textsf{,}$ and $AB = 20\textsf{.}$ What is the length of $FG\textsf{?}$

The scale factor from pentagon $ABCDE$ to pentagon $FGHJK$ is $\dfrac{21}{35} = \dfrac{3}{5}\textsf{.}$ So $FG = 20 \cdot \dfrac{3}{5} = 12\textsf{.}$

Practice playeasy

A rectangular prism has length $2$ , width $3$ , and height $4$ . What is its volume?

$V = 2 \times 3 \times 4 = 24$ .

Practice playeasy

Two angles are supplementary. One measures $25°$ . What is the other?

$180 - 25 = 155°$ .

Practice playeasy

A circle has a diameter of $26$ yards. What is the circumference, in yards, of the circle?

The circumference of a circle is $C = \pi d$ . Substitute $d = 26$ : $C = \pi(26) = 26\pi\textsf{.}$

Practice playeasy

A circle has radius $5$ . Using $\pi = 3$ , what is its area?

$A = \pi r^2 = 3 \times 25 = 75$ .

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 playmedium

A metal pipe is shaped like a cylinder with radius $2$ centimeters and length $10$ centimeters. Both ends of the pipe are open. What is the exterior surface area, in square centimeters, of the pipe?

With both ends open, only the lateral surface is exterior: $SA = 2\pi rh$ . With $r = 2$ and $h = 10$ , $SA = 2\pi(2)(10) = 40\pi$ square centimeters.