20 Questions from Practice Tests 1 & 2 · Full Step-by-Step Solutions

WHO THIS IS FOR

Teachers and parents who want to see exactly how this series writes its questions — and how fully its solutions explain them — before choosing a full practice test.

WHAT’S INSIDE

Student Edition (7 pages): 20 questions, work space for the constructed-response question, and an answer sheet
Teacher Edition (17 pages): a quick answer key plus the same full worked solutions used in the complete tests, with a model answer and scoring points for the constructed-response question
Printable PDFs (US Letter) — print and use today
Free — just create a free account to download it (free downloads on our site check out with a free account, so your download link stays saved to you)

WHAT’S NOT INCLUDED

This is a sampler, not a complete test: the full Practice Tests 1 and 2 have 50 questions each
No digital or interactive version — this is a printable PDF
The answer key is not available separately; it is inside the Teacher Edition

THE SAMPLE

Twenty questions taken word-for-word from Practice Test 1 and Practice Test 2 (10 from each test, nothing rewritten — only renumbered): 19 multiple-choice questions and 1 constructed-response question. All five Grade 4 math domains are covered — Operations & Algebraic Thinking (4 questions), Number & Operations in Base Ten (4), Fractions (5), Measurement & Data (4), and Geometry (3) — and 9 questions include real figures: fraction models, a number line, angle diagrams, a line plot, symmetry shapes, and an area model. Skills sampled include multi-step word problems, place value and rounding, equivalent fractions, comparing fractions, subtracting mixed numbers, decimal notation for fractions, unit conversions, money, perimeter, right angles and angles on a straight line, lines of symmetry, 2-digit by 2-digit multiplication, and division with remainders. Three of the questions are ★ Key Proficiency Check questions — the items this series flags as the most important skills on the test.

THE SOLUTIONS

Same standard as the full tests: 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. The constructed-response question includes 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 free sampler contains 20 questions taken word-for-word from two 50-question practice tests (Practice Test 1 and Practice Test 2). Each full test 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 series; this resource is not affiliated with or endorsed by the New York State Education Department.

MORE IN THIS SERIES

Ready for the full tests? NYS Grade 4 Math Practice Test 1 and Practice Test 2 — 50 questions each, same format, same full step-by-step solution standard — are available in our store, along with the NYS Grade 4 ELA practice tests and free sampler.