NM-MSSA Grade 8 Geometry. Practice it free.

Concepts & Procedures reporting category (grade 8). Geometry: congruence and similarity via transformations, the Pythagorean Theorem, and volume of cylinders, cones, and spheres. NM-MSSA core-point share: ~18-25%. This Grade 8 reporting domain maps to 9 practice skills and 8 representative questions from the playable bank.

Grade 8Geometry9 mapped skills
What the test measures

Geometry skills

  1. Understand congruence and similarity using physical models, transparencies, or geometry software

  2. Understand and apply the Pythagorean Theorem

  3. Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres

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%.

Practice by skill

Topics mapped to this domain

Volume of prisms and cylinders

Grade 731 questions

Isosceles triangle angles

Grade 810 questions

Polygon angle formulas

Grade 815 questions

Triangle angle sum

Grade 810 questions

Distance formula

Grade 815 questions

Finding a missing side with the Pythagorean theorem

Grade 810 questions

Pythagorean theorem

Grade 811 questions

Pythagorean theorem in context (SAT/ACT)

Grade 86 questions

Rectangle diagonal from area (ACT)

Grade 83 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

A rectangular prism has length 22, width 55, and height 66. What is its volume?

V=2×5×6=60V = 2 \times 5 \times 6 = 60.

Practice playmedium

In △GHI\triangle GHI, ∠G\angle G and ∠I\angle I are congruent. The measure of ∠H\angle H is 88.4∘88.4^{\circ}. What is the measure of ∠G\angle G?

Each congruent angle is 180∘−88.4∘2=45.8∘\dfrac{180^{\circ} - 88.4^{\circ}}{2} = 45.8^{\circ}.

Practice playeasy

What is the sum of the interior angles of a nonagon?

A nonagon has 99 sides: (9−2)×180=1260°(9-2) \times 180 = 1260°.

Practice playeasy

In △DEF,\triangle DEF\textsf{,} m∠Dm\angle D and m∠Em\angle E together measure 127∘.127^{\circ}\textsf{.} What is m∠F?m\angle F\textsf{?}

The sum of the interior angles of a triangle is 180∘.180^{\circ}\textsf{.} So m∠F=180∘−127∘=53∘.m\angle F = 180^{\circ} - 127^{\circ} = 53^{\circ}\textsf{.}

Practice playeasy

How long is the segment joining (−1,−5)(-1, -5) and (−1,2)(-1, 2)?

Both points have x=−1x = -1, so the length is ∣2−(−5)∣=7|2 - (-5)| = 7.

Practice playmedium

A right triangle has hypotenuse 3939 inches. One of its legs measures 1515 inches. What is the measure of the remaining leg?

Let the missing leg be xx. Then x2+152=392x^{2} + 15^{2} = 39^{2}, so x2=392−152=1,521−225=1,296x^{2} = 39^{2} - 15^{2} = 1{,}521 - 225 = 1{,}296 and x=1,296=36x = \sqrt{1{,}296} = 36.

Practice playeasy

A right triangle has legs 55 and 1212. What is the hypotenuse?

52+122=25+144=1695^{2} + 12^{2} = 25 + 144 = 169, so the hypotenuse is 169=13.\sqrt{169} = 13\textsf{.}

Practice playeasy

Jordan walks 88 blocks east and then 1515 blocks north. How many blocks from the starting point is Jordan, measured in a straight line?

The walk forms the legs of a right triangle: 82+152=64+225=289=17\sqrt{8^{2} + 15^{2}} = \sqrt{64 + 225} = \sqrt{289} = 17 blocks.

Keep practicing

Turn geometry into game time.

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

Batting Cage game coverBatting CagePlay →Blaster Gate game coverBlaster GatePlay →Blitz Tanks game coverBlitz TanksPlay →Buzzer Beater game coverBuzzer BeaterPlay →
Related Common Core standards
7.G.B.68.G.C.98.G.A.58.G.B.88.G.B.7
Geometry in other NM-MSSA grades
Grades 3, 4, 5Grades 6, 7
The same skills on other tests
i-ReadyNAEPAASAACAP
Source and test overview
All NM-MSSA prepOfficial test source
Reporting categories

More Grade 8 domains

FunctionsConcepts & Procedures reporting category (grade 8; replaces Ratios & Proportional Relationships, which CCSS does not carry at grade 8). Functions: defining, evaluating, and comparing functions, and using functions to model relationships between quantities. NM-MSSA core-point share: ~16-23%.8 QsPractice →The Number SystemConcepts & Procedures reporting category (grade 8). The Number System: irrational numbers and approximating them by rationals. NM-MSSA core-point share: ~5-12%.8 QsPractice →Expressions & EquationsConcepts & Procedures reporting category (grade 8). Expressions and Equations: radicals and integer exponents; the connection between proportional relationships, lines, and linear equations; and analyzing and solving linear equations and systems. NM-MSSA core-point share: ~28-34%.8 QsPractice →Statistics & ProbabilityConcepts & Procedures reporting category (grade 8). Statistics and Probability: patterns of association in bivariate data (scatter plots, two-way tables, lines of best fit). NM-MSSA core-point share: ~13-19%.8 QsPractice →