ISAT 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 real-life and mathematical problems involving angle measure, area, surface area, and volume
Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem

Standards basis

Idaho Content Standards (Mathematics) — Idaho

How the ISAT reports it

Idaho ISAT is a state assessment administered to grades 3–8 and 11 and reported against Idaho grade-level content standards rather than a separate national testing framework. The public ISAT page points to summative blueprints and math specifications, while the Idaho Content Standards page shows the math program is organized by grade-band/domain progressions aligned to Idaho standards.

Blueprint & weighting

The public Idaho ISAT page references summative blueprints and item specifications, but the accessible official page content did not expose a published domain-by-domain percentage blueprint for math.

Official sources

Idaho Department of Education — Idaho Standards Achievement Test (ISAT)
Idaho Department of Education — Idaho Content Standards

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

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 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 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 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.