NY State Math Grades 3–8 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
Use rational numbers to solve 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%.

Official sources

NYSED Grades 3–8 ELA and Math Test Manuals
NYSED Directions for Administering Regents Examinations
NYSED High School Regents Examinations

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is $|11 - 10|$ ?

First compute the difference: $11 - 10 = 1$ . Then take the absolute value: $|1| = 1$ .

Practice playeasy

What is $9.6 \div 6$ ?

Result: $1.6$ .

Practice playeasy

Evaluate: $-12 + (-6)$ .

Add: $-12 + (-6) = -18$ .

Practice playeasy

What is $\dfrac{5}{6} \div \dfrac{3}{5}$ ?

Multiply by the reciprocal: $\dfrac{5}{6} \times \dfrac{5}{3} = \dfrac{25}{18} = \dfrac{25}{18}$ .

Practice playmedium

On the real number line, how many integers are strictly between $\dfrac{7}{3}$ and $\dfrac{47}{5}$ ?

Convert: $\dfrac{7}{3} \approx 2.33$ and $\dfrac{47}{5} = 9.4$ . Integers $n$ with $2.33 < n < 9.4$ are $3, 4, 5, 6, 7, 8, 9$ . Count with $9 - 3 + 1$ : subtracting endpoints gives the gap between them; the $+1$ counts both $3$ and $9$ inclusive.