MAST Grade 6 Solve Problems with Area and Volume. Practice it free.

Students find area of polygons, surface area of three-dimensional shapes, and volume of right rectangular prisms. This Grade 6 reporting domain maps to 1 practice skill and 8 representative questions from the playable bank.

Grade 6Testlet 101 mapped skills
What the test measures

Solve Problems with Area and Volume skills

  1. Find the area of polygons and the surface area of three-dimensional shapes.

  2. Find the volume of right rectangular prisms.

  3. Standards: 6.G.1, 6.G.2, 6.G.4

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.

Practice by skill

Topics mapped to this domain

Area formulas (triangle, parallelogram, trapezoid)

Grade 670 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

Find the area of a trapezoid with bases b1=7b_1 = 7 and b2=10b_2 = 10 and height h=6h = 6.

Trapezoid area =12(b1+b2)⋅h=12(7+10)⋅6=12(17)⋅6=51= \dfrac{1}{2}(b_1 + b_2) \cdot h = \dfrac{1}{2}(7 + 10) \cdot 6 = \dfrac{1}{2}(17) \cdot 6 = 51.

Practice playeasy

Find the area of a triangle with base b=4b = 4 and height h=8h = 8.

Triangle area =12⋅b⋅h=12⋅4⋅8=16= \dfrac{1}{2} \cdot b \cdot h = \dfrac{1}{2} \cdot 4 \cdot 8 = 16.

Practice playeasy

Find the area of a parallelogram with base b=5b = 5 and height h=10h = 10.

Parallelogram area =b⋅h=5⋅10=50= b \cdot h = 5 \cdot 10 = 50.

Practice playeasy

Find the area of a trapezoid with bases b1=6b_1 = 6 and b2=10b_2 = 10 and height h=7h = 7.

Trapezoid area =12(b1+b2)⋅h=12(6+10)⋅7=12(16)⋅7=56= \dfrac{1}{2}(b_1 + b_2) \cdot h = \dfrac{1}{2}(6 + 10) \cdot 7 = \dfrac{1}{2}(16) \cdot 7 = 56.

Practice playeasy

Find the area of a parallelogram with base b=4b = 4 and height h=6h = 6.

Parallelogram area =b⋅h=4⋅6=24= b \cdot h = 4 \cdot 6 = 24.

Practice playeasy

Find the area of a trapezoid with bases b1=5b_1 = 5 and b2=6b_2 = 6 and height h=4h = 4.

Trapezoid area =12(b1+b2)⋅h=12(5+6)⋅4=12(11)⋅4=22= \dfrac{1}{2}(b_1 + b_2) \cdot h = \dfrac{1}{2}(5 + 6) \cdot 4 = \dfrac{1}{2}(11) \cdot 4 = 22.

Practice playeasy

Find the area of a triangle with base b=8b = 8 and height h=9h = 9.

Triangle area =12⋅b⋅h=12⋅8⋅9=36= \dfrac{1}{2} \cdot b \cdot h = \dfrac{1}{2} \cdot 8 \cdot 9 = 36.

Practice playeasy

Find the area of a parallelogram with base b=2b = 2 and height h=9h = 9.

Parallelogram area =b⋅h=2⋅9=18= b \cdot h = 2 \cdot 9 = 18.

Keep practicing

Turn solve problems with area and volume into game time.

The MAST placement starts with this test's real coverage map and finds the right difficulty.

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Related Common Core standards
6.G.A.1
Source and test overview
All MAST prepOfficial test source
Reporting categories

More Grade 6 domains

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