New York NYSTP Grade 4 Math Practice Tests

Give your fourth grader the confidence to succeed on the New York State Grade 4 Math test.

This Smart Stars practice book provides five full-length, standards-aligned practice tests that mirror the length, item mix, and question types of the real New York State Testing Program (NYSTP) assessment in Mathematics. Every question was written by experienced educators, reviewed for accuracy, and built around the New York State Next Generation Mathematics Learning Standards at Grade 4 (New York’s own revised standards, not the Common Core) so the topics and emphasis match what New York students actually see.

The NYSTP (the New York State Testing Program) is the test the New York State Education Department gives to every public-school student in Grades 3-8. It is delivered on computer by NWEA, with paper forms available as an accommodation, and it is untimed: students get as much time as they need within the regular school day (New York estimates about 65 to 75 minutes per session for Grade 4). The Grade 4 math test is given in two sessions on two different days: Session 1 is all multiple choice, and Session 2 adds constructed-response questions worth 1, 2, or 3 credits, where students write out the answer and often show their work. A student answers 44 questions in all, with a few embedded field-test questions mixed in invisibly that do not count toward the score. Each practice test here follows that same shape (44 questions in two sessions, for 220 questions across the book) to build true test-day endurance.

What’s inside

• Five full-length practice tests, with detailed Answers and Explanations after every test
• Coverage of every Grade 4 math area New York reports (Operations and Algebraic Thinking, Number and Operations in Base Ten, Number and Operations with Fractions, Measurement and Data, and Geometry) weighted toward the multi-digit computation and fraction work that carries the most questions, just like the real blueprint
• Field-test-style questions blended invisibly into each test, just like the real NYSTP, and fully answered here so nothing on test day feels unfamiliar
• Practice in both NYSTP item formats: single-answer multiple choice and constructed-response worth 1, 2, and 3 credits (show-your-work and explain-your-thinking), plus number lines, line plots, area models, protractor angle measures, and figure-based geometry
• Every explanation walks through the reasoning step by step and ends with a labeled Tip, Check, or Estimate (with a Strategy on the multi-step questions), so students learn the move, not just the answer
• A combined Quick Answer Key after each test for fast self-grading
• A family letter, a test-taking tips section, and a Grade 4 math study reference page up front: included as a study aid, since the real NYSTP provides no reference sheet until Grade 5
• No-calculator practice throughout, matching the official NYSTP Grade 3-5 policy

Topics covered

• Place value, and reading, writing, comparing, and rounding whole numbers up to 1,000,000, including standard and expanded form
• Adding and subtracting multi-digit whole numbers with regrouping, and multistep word problems
• Multiplying up to four-digit by one-digit and two-digit by two-digit numbers, and dividing with remainders, using area models, partial products, and place value
• “Times as many” multiplicative comparison, multistep problems, factors and multiples, prime and composite numbers, and number and shape patterns
• Equivalent fractions, comparing and ordering fractions, adding and subtracting fractions and mixed numbers with like denominators, and multiplying a whole number by a fraction
• Points, lines, rays, and parallel and perpendicular lines; classifying triangles by their angles and classifying quadrilaterals; and identifying lines of symmetry
• Measuring and drawing angles with a protractor, additive angle measure, and finding an unknown angle
• Area and perimeter of rectangles, including finding an unknown side and composite (L-shaped) figures
• Line plots marked in halves, quarters, and eighths of a unit
• Reading and interpreting data to answer “how many more,” combine-and-compare, and two-part questions

Why parents and teachers choose Smart Stars

• Educator-authored. Every question is written and reviewed by classroom-experienced educators.
• Mirrors test day. Each practice test matches the official NYSTP shape, two-session structure, item mix, and no-calculator, no-reference-sheet policy, with field-test questions blended in invisibly just like the real test.
• Built for New York. Aligned to the New York State Next Generation Mathematics Learning Standards at Grade 4 (New York’s own standards, not the Common Core) with grade-appropriate real-world contexts and a diverse cast of student names.
• Explanations teach the why. Every Answers and Explanations entry shows the full worked solution, then a labeled closing Tip, Check, or Estimate (and a Strategy on multi-step problems) so students learn the reasoning.
• Varied and graduated. Slot positions, contexts, names, and number choices rotate test-to-test, and the five tests step up in difficulty: the later tests lean on more multi-step and constructed-response reasoning: so no two feel like the same practice run.