NC EOG/EOC Grade 6 The Number System Practice

What the test measures

The Number System skills

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
Apply and extend previous understandings of numbers to the system of rational numbers, including the coordinate plane

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%.

Official sources

NC DPI End-of-Grade (EOG)
NC DPI 2025-26 EOC Assessment Brief
NC DPI EOG Mathematics Grades 3-8 Test Specifications (April 2026)

Practice by skill

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Try it now

8 free questions · 0/0 correct

Practice playeasy

What is $7.04 - 1.68$ ?

$7.04 - 1.68 = 5.36$ .

Practice playeasy

What is $\dfrac{3}{7} \div \dfrac{3}{7}$ ?

Multiply by the reciprocal: $\dfrac{3}{7} \times \dfrac{7}{3} = \dfrac{21}{21} = \dfrac{1}{1}$ .

Practice playeasy

What is $|17|$ ?

The absolute value of a non-negative number is itself: $|17| = 17$ .

Practice playmedium

On the real number line, how many integers are strictly between $-\dfrac{83}{7}$ and $\dfrac{67}{4}$ ?

Convert the bounds: $-\dfrac{83}{7} \approx -11.86$ and $\dfrac{67}{4} = 16.75$ . Strictly between means integers $n$ with $-\dfrac{83}{7} < n < \dfrac{67}{4}$ , so $n$ runs from $-11$ through $16$ , including $0$ . Count with $16 - (-11) + 1$ : subtracting endpoints gives the gap between them; the $+1$ counts both $-11$ and $16$ inclusive.

Practice playeasy

What is $7.00 + 1.62$ ?

$7.00 + 1.62 = 8.62$ .

Practice playeasy

What is $\dfrac{3}{5} \times \dfrac{1}{6}$ ?

Multiply across: $\dfrac{3 \times 1}{5 \times 6} = \dfrac{3}{30} = \dfrac{1}{10}$ .

Practice playeasy

Compute $|0|$ .

$0$ is its own distance from $0$ , so $|0| = 0$ .

Practice playmedium

On the real number line, how many integers are strictly between $-\dfrac{91}{5}$ and $-\dfrac{12}{4}$ ?

Convert: $-\dfrac{91}{5} = -18.2$ and $-\dfrac{12}{4} = -3$ . Integers $n$ with $-18.2 < n < -3$ are $-18, -17, \ldots, -4$ . Count with $-4 - (-18) + 1$ : subtracting endpoints gives the gap between them; the $+1$ counts both $-18$ and $-4$ inclusive.