NM-MSSA Grades 6, 7 Geometry Practice

What the test measures

Geometry skills

Solve real-world and mathematical problems involving area, surface area, and volume
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

Standards basis

New Mexico Common Core State Standards for Mathematics (NMCCSS / 'NM STEM Ready! Math'; CCSS-M adopted 2010) — New Mexico

How the NM-MSSA reports it

NM-MSSA is New Mexico's statewide summative assessment for Grades 3-8 (mathematics and ELA), administered by Cognia for the New Mexico Public Education Department. It is not built on a national framework (SBAC/NAEP); its items are aligned to the New Mexico Common Core State Standards (NMCCSS) — the CCSS-M that New Mexico adopted in 2010 and re-branded 'NM STEM Ready! Math'. The official math Test Blueprint and the public-facing Mathematics Test Specifications expose a per-grade reporting-category structure whose Concepts & Procedures categories ARE the CCSS-M content domains (Operations & Algebraic Thinking, Number & Operations in Base Ten, etc.), with published point/percentage ranges. This coverage_map was enriched from those two primary documents (the bare resources page transcribed earlier exposed only resource links, not the content structure). Reporting categories are grouped exactly as the blueprint groups them: Grades 3/4/5, Grades 6/7, and Grade 8 (grade 8 replaces Ratios & Proportional Relationships with Functions, matching CCSS). Two mathematical-practices reporting categories (Problem Solving / Reasoning & Argument; Modeling / Structure & Repeated Reasoning) are reported across all grades and are the CCSS Standards for Mathematical Practice (process standards), carried here as a separate per-band domain.

Blueprint & weighting

Published per-grade core-point distributions (NM-MSSA Operational Test Blueprint, Mathematics Test Specifications, Cognia/NMPED 2024). Concepts & Procedures content domains as a percent of the per-grade Concepts & Procedures subtotal — Grade 3: Operations & Algebraic Thinking 32-39%, Number & Operations in Base Ten 8-15%, Number & Operations—Fractions 12-19%, Measurement & Data 24-31%, Geometry 4-11%. Grade 4: 18-25% / 18-25% / 30-37% / 10-17% / 4-11%. Grade 5: 8-15% / 22-29% / 22-29% / 22-29% / 6-13%. Grade 6: Ratios & Proportional Relationships 15-22%, The Number System 22-27%, Expressions & Equations 26-33%, Geometry 9-16%, Statistics & Probability 9-16%. Grade 7: 15-22% / 13-20% / 28-35% / 9-16% / 15-22%. Grade 8: Functions 16-23%, The Number System 5-12%, Expressions & Equations 28-34%, Geometry 18-25%, Statistics & Probability 13-19%. Mathematical Practices are scored independently (Problem Solving/Reasoning & Argument and Modeling/Structure & Repeated Reasoning each >=15% of core points per grade); a small fixed number of practice points from constructed-response rubrics contribute to the overall score. Depth of Knowledge: grades 3-6 DOK1 5-25% / DOK2 50-80% / DOK3 5-30%; grades 7-8 DOK1 0-20% / DOK2 50-80% / DOK3 5-30%.

Official sources

New Mexico Public Education Department — NM-MSSA Resources
NM-MSSA Mathematics Test Blueprint (NMPED, 2025)
NM-MSSA Summative Test Specifications — Mathematics (Cognia, Rev. 2024)

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

A rectangular prism has length $2$ , width $4$ , and height $9$ . What is its volume?

$V = 2 \times 4 \times 9 = 72$ .

Practice playeasy

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

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

Practice playeasy

Rectangles $JKLM$ and $NPQR$ are similar. The perimeter of rectangle $JKLM$ is $18\textsf{,}$ and the perimeter of rectangle $NPQR$ is $45\textsf{.}$ Side $JK$ corresponds to side $NP\textsf{,}$ and $JK = 6\textsf{.}$ What is the length of $NP\textsf{?}$

The scale factor from rectangle $JKLM$ to rectangle $NPQR$ equals the perimeter ratio $\dfrac{45}{18} = \dfrac{5}{2}\textsf{.}$ So $NP = 6 \cdot \dfrac{5}{2} = 15\textsf{.}$

Practice playeasy

In a triangle, two sides each have length $8\textsf{.}$ Which inequality represents the possible lengths, $x\textsf{,}$ of the third side?

The triangle inequality requires $|8 - 8| < x < 8 + 8\textsf{.}$ Simplifying gives $0 < x < 16\textsf{.}$

Practice playeasy

Two lines cross. One angle formed is $20°$ . What is the vertical angle?

Vertical angles are equal: $20°$ .

Practice playeasy

A circle has a radius of $7$ meters. What is the area, in square meters, of the circle?

The area of a circle is $A = \pi r^{2}$ . Substitute $r = 7$ : $A = \pi(7)^{2} = 49\pi\textsf{.}$

Practice playeasy

A circle has radius $2$ . Using $\pi = 3$ , what is its area?

$A = \pi r^2 = 3 \times 4 = 12$ .

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 $s = 4\text{ m}\textsf{.}$

Related Common Core standards

7.G.B.6 8.G.C.9 6.G.A.1 7.G.B.5 7.G.B.4 HSG.GMD.A.3

Geometry in other NM-MSSA grades

Grades 3, 4, 5 Grade 8

Source and test overview

All NM-MSSA prep Official test source

Reporting categories

More Grades 6, 7 domains

Ratios & Proportional RelationshipsConcepts & Procedures reporting category (grades 6-7). Ratios and Proportional Relationships: ratio concepts and reasoning (grade 6) and analyzing proportional relationships to solve problems (grade 7). NM-MSSA core-point share: grade 6 ~15-22%, grade 7 ~15-22%.8 QsPractice →The Number SystemConcepts & Procedures reporting category (grades 6-7). The Number System: dividing fractions, multi-digit computation, common factors/multiples, and extending operations to the full system of rational numbers. NM-MSSA core-point share: grade 6 ~22-27%, grade 7 ~13-20%.8 QsPractice →Expressions & EquationsConcepts & Procedures reporting category (grades 6-7). Expressions and Equations: algebraic expressions, one-variable equations and inequalities, dependent/independent variable relationships, generating equivalent expressions, and solving real-life problems with expressions and equations. NM-MSSA core-point share: grade 6 ~26-33%, grade 7 ~28-35%.8 QsPractice →Statistics & ProbabilityConcepts & Procedures reporting category (grades 6-7). Statistics and Probability: statistical variability and distributions (grade 6); random sampling and inferences, comparative inferences, and probability models (grade 7). NM-MSSA core-point share: grade 6 ~9-16%, grade 7 ~15-22%.8 QsPractice →

NM-MSSA Grades 6, 7 Geometry. Practice it free.

Geometry skills

Solve real-world and mathematical problems involving area, surface area, and volume

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

Topics mapped to this domain

Volume of prisms and cylinders

Area formulas (triangle, parallelogram, trapezoid)

Effect of scale factor on similar figures

Triangle inequality

Angle relationships

Area and circumference of circles

Circle formulas

Multi-step perimeter, area, and volume (ACT)

Surface area in context (SAT)

Surface area and volume

8 free questions · 0/0 correct

Turn geometry into game time.

More Grades 6, 7 domains