NY State Math Grades 3–8 Geometry. Practice it free.

The test asks students to reason with shapes and their attributes, drawing and identifying lines, angles, and symmetry and analyzing geometric properties. This Grades 3–8 reporting domain maps to 2 practice skills and 8 representative questions from the playable bank.

Grades 3–82 mapped skills
What the test measures

Geometry skills

  1. Reason with shapes and their attributes

  2. Draw and identify lines and angles, and classify shapes by properties of their lines and angles

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

  4. Graph points on the coordinate plane to solve real-world and mathematical problems

Standards basis

New York State Learning Standards / New York State Next Generation Learning Standards (NGLS) — New York

How the NY State Math reports it

New York’s Grades 3–8 math tests and Regents math exams are state-developed assessments rather than a shared national framework. The grades 3–8 exams are aligned to New York State learning standards, and the Regents math sequence includes Algebra I, Geometry, and Algebra II, with the June 2026 Algebra II exam explicitly based on the New York State Next Generation Learning Standards.

Blueprint & weighting

Grades 3–8: the official page and the retrieved administration guide describe item/credit structure and timing, but no published domain-by-domain blueprint weighting was located in the primary sources used here. Regents (high school): NYSED publishes a per-conceptual-category 'percent of test by credit' blueprint for each course in its Educator Guides. Algebra I — Number & Quantity 4%–10%, Algebra 48%–61%, Functions 24%–32%, Statistics & Probability 7%–15%. Geometry (single conceptual category, by domain) — Congruence (G-CO) 27%–34%, Similarity, Right Triangles, & Trigonometry (G-SRT) 29%–37%, Circles (G-C) 2%–8%, Expressing Geometric Properties with Equations (G-GPE) 12%–18%, Geometric Measurement & Dimensions (G-GMD) 2%–8%, Modeling with Geometry (G-MG) 8%–15%. Algebra II — Number & Quantity 4%–8%, Algebra 30%–39%, Functions 38%–45%, Statistics & Probability 14%–22%.

Practice by skill

Topics mapped to this domain

Area formulas (triangle, parallelogram, trapezoid)

Grade 670 questions

Coordinate plane basics

Grade 577 questions
Try it now

8 free questions · 0/0 correct

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

In the ordered pair (4,7)(4, 7), what is the xx-coordinate?

The first number in an ordered pair is the xx-coordinate. In (4,7)(4, 7) the xx-coordinate is 4.4\textsf{.}

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

The origin on the coordinate plane is at which point?

The origin is where the axes meet, so its coordinates are (0,0).(0, 0)\textsf{.}

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

In the ordered pair (3,5)(3, 5), what is the xx-coordinate?

The first number in an ordered pair is the xx-coordinate. In (3,5)(3, 5) the xx-coordinate is 3.3\textsf{.}

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

What are the coordinates of the origin?

The origin is where the axes meet, so its coordinates are (0,0).(0, 0)\textsf{.}

Keep practicing

Turn geometry into game time.

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

Blaster Gate game coverBlaster GatePlay →Blitz Tanks game coverBlitz TanksPlay →Blossom Leap game coverBlossom LeapPlay →Bullseye Blitz game coverBullseye BlitzPlay →
Related Common Core standards
6.G.A.15.G.A.1
The same skills on other tests
MCAS
Source and test overview
All NY State Math prepOfficial test source
Reporting categories

More Grades 3–8 domains

Operations and Algebraic ThinkingThe test asks students to represent and solve problems involving addition and subtraction, multiplication and division, and to understand and analyze patterns and relationships.8 QsPractice →Number and Operations in Base TenThe test asks students to use place value and properties of operations to perform multi-digit arithmetic and to understand the base-ten system.8 QsPractice →Number and Operations—FractionsThe test asks students to develop understanding of fractions as numbers and to apply fraction equivalence, operations, and word problems.8 QsPractice →Measurement and DataThe test asks students to solve problems involving measurement and estimation of intervals of time, liquid volumes, masses, and lengths, and to represent and interpret data.8 QsPractice →The Number SystemThe test asks students to apply concepts of multiplication, division, and rational numbers, including operations with integers and rational numbers.8 QsPractice →Ratios and Proportional RelationshipsThe test asks students to use ratios and rates to solve problems and to analyze proportional relationships.8 QsPractice →