MAST Grade 7 Solve Problems with Geometric Figures Practice

What the test measures

Solve Problems with Geometric Figures skills

Apply formulas for geometric measurement.
Solve real-world and mathematical problems involving two- and three-dimensional figures.
Standards: 7.G.3, 7.G.4, 7.G.6

Standards basis

Montana PK-12 Mathematics Content Standards / Common Core State Standards for Mathematics (CCSS-M)-aligned Montana standards — Montana

How the MAST reports it

Montana’s MAST is a state-specific through-year assessment built by New Meridian and aligned to Montana’s academic content standards, not a Smarter Balanced-style claims/targets framework. The math blueprints organize content into grade-level strands/testlets that map directly to CCSS-M-derived Montana standards.

Blueprint & weighting

The blueprint publishes a through-year design of 12 strands/testlets per grade, with 1 strand per testlet, 2 reporting attributes per strand, and 9–13 items per testlet. It also specifies approximate item-type and DOK distributions, but does not publish percentage weighting by domain in the captured blueprint text.

Official sources

Montana OPI MontCAS
Montana OPI - MasteryGuide Mathematics Assessment Specifications and Blueprints
Montana OPI - Montana MAST Math Testlets

Practice by skill

Topics mapped to this domain

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8 free questions · 0/0 correct

Practice playeasy

A cylinder has radius $2$ and height $4$ . Using $\pi = 3$ , what is its volume?

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

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 rectangular pyramid tent has a $10$ -foot-by- $4$ -foot rectangular base. The two triangular faces along the $10$ -foot sides each have slant height $6$ feet, and the two triangular faces along the $4$ -foot sides each have slant height $5$ feet. The tent has no floor. What is the exterior surface area, in square feet, of the tent fabric?

Without a floor, only the four triangular faces are counted. Along the $10$ -foot sides: $2 \times \dfrac{1}{2}(10)(6) = 60$ . Along the $4$ -foot sides: $2 \times \dfrac{1}{2}(4)(5) = 20$ . The total is $60 + 20 = 80$ square feet.