NC EOG/EOC Grade 6 Geometry. Practice it free.

EOG grade 6 domain (12-16% of the test, Table 2). Solve real-world and mathematical problems involving area, surface area, and volume. This Grade 6 reporting domain maps to 2 practice skills and 8 representative questions from the playable bank.

Grade 6G2 mapped skills
What the test measures

Geometry skills

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

  2. Draw polygons in the coordinate plane and find side lengths

Standards basis

North Carolina Standard Course of Study (NCSCOS) — North Carolina

How the NC EOG/EOC reports it

North Carolina’s math assessments are state-developed EOG/EOC tests aligned to the North Carolina Standard Course of Study (NCSCOS) for Mathematics, adopted June 2016, rather than a shared multistate framework. The EOG Grades 3-8 Mathematics Test Specifications and the EOC NC Math 1 and NC Math 3 Test Specifications publish, in Table 1/Table 2, the range of total items by domain (the official domain weight distributions). The NCSCOS K-8 domains carry CCSS domain codes (NC.3.OA, NC.8.F, …) and are CCSS-derived; NC Math 1 and NC Math 3 are integrated high-school EOC courses whose standards carry NC.M1/NC.M3 conceptual-category codes (Number and Quantity, Algebra, Functions, Geometry, Statistics and Probability).

Blueprint & weighting

Published per-domain weight ranges come from the NC DPI EOG/EOC Mathematics Test Specifications (April 2026), Table 1/Table 2 (range of total items by domain). EOG grades 3-5 (Table 1): Operations and Algebraic Thinking 32-36% (g3) / 14-18% (g4) / 9-13% (g5); Number and Operations in Base Ten 9-13% / 25-29% / 25-29%; Number and Operations – Fractions 28-32% / 30-34% / 39-43%; Measurement and Data, Geometry 23-27% / 23-27% / 19-23%. EOG grades 6-8 (Table 2): Ratios and Proportional Relationships 24-28% (g6) / 24-28% (g7) / — (g8); The Number System 20-24% / 8-12% / —; Expressions and Equations 22-26% / 20-24% / —; The Number System, Expressions and Equations (combined) — / — / 24-28%; Functions — / — / 28-32%; Geometry 12-16% / 16-20% / 24-28%; Statistics and Probability 12-16% / 22-26% / 16-20%. EOC (Table 1): NC Math 1 — Number and Quantity and Algebra 36-40%, Functions 32-36%, Geometry 8-12%, Statistics and Probability 18-20%; NC Math 3 — Number and Quantity and Algebra 32-36%, Functions 32-36%, Geometry 20-24%, Statistics and Probability 8-12%.

Practice by skill

Topics mapped to this domain

Area formulas (triangle, parallelogram, trapezoid)

Grade 670 questions

Area of a rhombus

Grade 610 questions
Try it now

8 free questions · 0/0 correct

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

A rhombus has diagonals of length 8 in8\text{ in} and 5 in.5\text{ in}\textsf{.} What is its area?

The area of a rhombus is half the product of the diagonals: 12⋅8⋅5=20 in2.\dfrac{1}{2} \cdot 8 \cdot 5 = 20\text{ in}^{2}\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

A rhombus has diagonals of length 7 ft7\text{ ft} and 8 ft.8\text{ ft}\textsf{.} What is its area?

The area of a rhombus is half the product of the diagonals: 12⋅7⋅8=28 ft2.\dfrac{1}{2} \cdot 7 \cdot 8 = 28\text{ ft}^{2}\textsf{.}

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.

Practice playeasy

A rhombus has diagonals of length 8 mm8\text{ mm} and 9 mm.9\text{ mm}\textsf{.} What is its area?

The area of a rhombus is half the product of the diagonals: 12⋅8⋅9=36 mm2.\dfrac{1}{2} \cdot 8 \cdot 9 = 36\text{ mm}^{2}\textsf{.}

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

A rhombus has diagonals of length 8 yd8\text{ yd} and 10 yd.10\text{ yd}\textsf{.} What is its area?

The area of a rhombus is half the product of the diagonals: 12⋅8⋅10=40 yd2.\dfrac{1}{2} \cdot 8 \cdot 10 = 40\text{ yd}^{2}\textsf{.}

Keep practicing

Turn geometry into game time.

The NC EOG/EOC 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.1
Geometry in other NC EOG/EOC grades
Grade 7Grade 8NC Math 1NC Math 3
The same skills on other tests
i-ReadyAASAACAPATLAS
Source and test overview
All NC EOG/EOC prepOfficial test source
Reporting categories

More Grade 6 domains

Ratios and Proportional RelationshipsEOG grade 6 domain (24-28% of the test, Table 2). Understand ratio concepts and use ratio reasoning to solve problems, including unit rates and percent.8 QsPractice →The Number SystemEOG grade 6 domain (20-24% of the test, Table 2). Apply and extend previous understandings of multiplication and division to divide fractions by fractions, compute fluently with multi-digit numbers and find common factors and multiples, and apply and extend previous understandings of numbers to the system of rational numbers.8 QsPractice →Expressions and EquationsEOG grade 6 domain (22-26% of the test, Table 2). Apply and extend previous understandings of arithmetic to algebraic expressions, reason about and solve one-variable equations and inequalities, and represent and analyze quantitative relationships between dependent and independent variables.8 QsPractice →Statistics and ProbabilityEOG grade 6 domain (12-16% of the test, Table 2). Develop understanding of statistical variability and summarize and describe distributions.8 QsPractice →