NY State Math Grades 3–8 Number and Operations in Base Ten. Practice it free.

The test asks students to use place value and properties of operations to perform multi-digit arithmetic and to understand the base-ten system. This Grades 3–8 reporting domain maps to 6 practice skills and 8 representative questions from the playable bank.

Grades 3–86 mapped skills
What the test measures

Number and Operations in Base Ten skills

  1. Generalize place value understanding for multi-digit whole numbers

  2. Use place value understanding and properties of operations to perform multi-digit arithmetic

  3. Use place value understanding and properties of operations to perform arithmetic with decimals

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%.

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is 92÷492 \div 4?

4×23=924 \times 23 = 92, so 92÷4=2392 \div 4 = 23.

Practice playeasy

What is 34×234 \times 2?

34×2=6834 \times 2 = 68.

Practice playeasy

What is 58+4458 + 44?

58+44=10258 + 44 = 102.

Practice playeasy

What is 211821 - 18?

2118=321 - 18 = 3.

Practice playeasy

What is 9×1039 \times 10^{3}?

Multiplying by 10310^{3} appends 33 zeros to the whole number: 9×103=90009 \times 10^{3} = 9000.

Practice playeasy

Round 287287 to the nearest hundred.

The digit one place to the right is 88, so round up: 287300287 \to 300.

Practice playeasy

What is 75÷575 \div 5?

5×15=755 \times 15 = 75, so 75÷5=1575 \div 5 = 15.

Practice playeasy

What is 84×784 \times 7?

84×7=58884 \times 7 = 588.

Keep practicing

Turn number and operations in base ten into game time.

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