50 Questions · All 5 Grade 4 Math Domains · Full Step-by-Step Solutions

WHO THIS IS FOR

Grade 4 students in New York who are getting ready for the state math test — and the teachers, tutors, and parents who want practice they can trust, with answers explained well enough for a student to learn from alone.

WHAT’S INSIDE

Student Edition (12 pages): 50 questions, work space for the constructed-response questions, and an answer sheet
Teacher Edition (37 pages): a one-page quick answer key plus a full worked solution for every question; model answers and scoring points for the 6 constructed-response questions
Printable PDFs (US Letter) — print and use today, no prep needed

WHAT’S NOT INCLUDED

No official NYSED questions (all questions are original)
No digital or Easel version — this is a printable PDF
The answer key is not sold separately; it is inside the Teacher Edition

THE TEST

Fifty original questions written in the style of the New York State Grade 4 Mathematics Test: 44 multiple-choice questions and 6 short constructed-response questions with work space. All five Grade 4 math domains are covered — Operations & Algebraic Thinking (9 questions), Number & Operations in Base Ten (11), Fractions (12), Measurement & Data (10), and Geometry (8) — and 14 questions include real figures: fraction models, angle diagrams, perimeter diagrams, parallel and perpendicular line pairs, line plots, symmetry shapes, and an area model. Skills include place value and rounding, multi-digit addition, subtraction, multiplication and division, factors and multiples, multi-step word problems, equivalent fractions, comparing and ordering fractions, adding and subtracting fractions and mixed numbers, multiplying a fraction by a whole number, decimal notation to hundredths, unit conversions, elapsed time, money, area and perimeter, angle measurement, lines of symmetry, and classifying triangles.

DIFFICULTY LEVELS & KEY CHECKS

Every question in the Teacher Edition carries a level tag — Core, On-level, or Challenge (14 / 24 / 12 across the test) — so you can see at a glance where a student is solid and where they are still growing. Seven questions (18, 27, 31, 34, 39, 46, 47) are marked ★ Key Proficiency Check: they sample the most important skills on the test, so if a student misses several of them, those topics are the ones to review first.

THE SOLUTIONS

Every solution is fully broken down, in the same order a strong problem-solver thinks: the approach first, then numbered steps with the reason for each step and every intermediate calculation written out, why each wrong choice is wrong, a self-check, and a “watch out” naming the trap. Constructed-response questions include a model answer and a simple 3-point scoring guide — one point each for Mathematical Setup, Computation, and Explanation / Units — so grading stays fast and consistent.

PLEASE NOTE

This is a 50-question supplementary practice test. It is not a full-length simulation of the official test’s length and structure. All questions are original practice questions written for this product; this resource is not affiliated with or endorsed by the New York State Education Department.

MORE IN THIS SERIES

Also in our store: NYS Grade 4 Math Practice Test 1 and NYS Grade 4 ELA Practice Tests 1 & 2 — same format, same full step-by-step solution standard. A free 20-question Grade 4 Math sampler is also available in the store.