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100+ Free NYS Math Grade 4 Practice Questions

Pass your New York State Grade 4 Mathematics Test exam on the first try — instant access, no signup required.

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Question 1
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What is 3,482 + 5,769?

A
B
C
D
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2026 Statistics

Key Facts: NYS Math Grade 4 Exam

The NYS Grade 4 Mathematics Test is New York's free, state-mandated spring assessment of the Next Generation Grade 4 math standards, given in two untimed sessions with multiple-choice and constructed-response items and scored on four performance levels where Level 3 means meeting the standards.

Sample NYS Math Grade 4 Practice Questions

Try these sample questions to test your NYS Math Grade 4 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1What is the value of the digit 7 in the number 372,481?
A.70
B.700
C.7,000
D.70,000
Explanation: In 372,481 the 7 is in the ten-thousands place, so its value is 7 x 10,000 = 70,000. Each place to the left is ten times the place to its right.
2The price of a house rounded to the nearest ten thousand dollars is $220,000. Which number could be the actual price of the house?
A.$213,690
B.$214,900
C.$224,300
D.$226,000
Explanation: Rounded to the nearest ten thousand, the value must be between $215,000 and $224,999 to round to $220,000. Only $224,300 falls in that range.
3Which symbol makes this comparison true? 48,209 ___ 48,290
A.<
B.>
C.=
D.+
Explanation: Compare digits from left to right. The thousands and hundreds match, but in the tens place 0 is less than 9, so 48,209 is less than 48,290. The correct symbol is <.
4What is 6,000 + 400 + 9 written in standard form?
A.649
B.6,049
C.6,409
D.6,490
Explanation: Add the values by place: 6,000 thousands, 4 hundreds, 0 tens, and 9 ones gives 6,409. The tens place is 0 because no tens are shown.
5A school has 8 buses. Each bus carries 47 students. How many students ride the buses in all?
A.329
B.376
C.366
D.356
Explanation: Multiply 8 x 47. Break it apart: 8 x 40 = 320 and 8 x 7 = 56, then 320 + 56 = 376 students.
6What is 426 x 3?
A.1,278
B.1,268
C.1,278 with a remainder
D.1,288
Explanation: Multiply by place: 3 x 6 = 18, 3 x 20 = 60, 3 x 400 = 1,200. Adding 1,200 + 60 + 18 = 1,278.
7A baker divides 96 muffins equally into 6 boxes. How many muffins are in each box?
A.14
B.15
C.16
D.18
Explanation: Divide 96 by 6. Since 6 x 16 = 96, each box holds 16 muffins with no muffins left over.
8There are 75 apples shared equally among 4 children. How many apples does each child get, and how many are left over?
A.18 with 3 left over
B.18 with 1 left over
C.19 with 1 left over
D.17 with 3 left over
Explanation: Divide 75 by 4. Since 4 x 18 = 72, each child gets 18 apples and 75 - 72 = 3 apples are left over.
9Which statement is true about the number 28?
A.28 is prime
B.28 is composite
C.28 has exactly two factors
D.28 is a factor of 7
Explanation: A composite number has more than two factors. The factors of 28 are 1, 2, 4, 7, 14, and 28, so 28 is composite.
10Which list shows all the factor pairs of 24?
A.1 and 24, 2 and 12, 3 and 8, 4 and 6
B.1 and 24, 2 and 12, 4 and 6
C.1 and 24, 2 and 12, 3 and 8, 4 and 6, 5 and 5
D.2 and 12, 3 and 8, 4 and 6
Explanation: Factor pairs multiply to 24: 1 x 24, 2 x 12, 3 x 8, and 4 x 6. These four pairs include every whole-number factor of 24.

About the NYS Math Grade 4 Exam

The New York State Grade 4 Mathematics Test is part of the New York State Testing Program (NYSTP) and measures how well fourth-grade students have mastered the New York State P-12 Next Generation Learning Standards for Mathematics. It is administered each spring to public-school students in two sessions given on separate days: Session 1 consists entirely of multiple-choice questions, and Session 2 combines multiple-choice questions with 1-, 2-, and 3-credit constructed-response questions where students must show their work or explain their reasoning. The tests are untimed, so students receive as much time as they need within the regular school day. Grade 4 students are provided a ruler and a protractor and may not use a calculator. Content is organized around the Next Generation domains: Operations and Algebraic Thinking, Number and Operations in Base Ten, Number and Operations-Fractions, Measurement and Data, and Geometry. Results are reported on a scale score with four performance levels, where Level 3 indicates the student is meeting the standards. Each year NYSED releases approximately 75 percent of the operational questions, along with answer keys and standard alignments, for review and use.

Questions

100 scored questions

Time Limit

Untimed; students get as much time as needed within the regular school day across two sessions given on separate days.

Passing Score

Four performance levels on a scale score; Level 3 indicates meeting the Next Generation Learning Standards and Level 4 exceeds them.

Exam Fee

Free for New York public-school students; the test is state-mandated with no family registration cost. (New York State Education Department, Office of State Assessment)

NYS Math Grade 4 Exam Content Outline

About 40%

Operations and Algebraic Thinking and Base Ten

Multiplicative comparison, multi-digit multiplication and division with remainders, equations and unknown values, factor pairs, prime and composite numbers, number patterns, place value to 1,000,000, rounding, and multi-digit addition and subtraction.

About 30%

Number and Operations - Fractions

Equivalent fractions, comparing and ordering fractions, decomposing fractions, adding and subtracting like-denominator fractions, multiplying a fraction by a whole number, decimal notation to hundredths, and comparing decimals.

About 30%

Measurement, Data, and Geometry

Customary and metric conversions, area and perimeter of rectangles, elapsed time, money, line plots, classifying and measuring angles, additive and unknown angles, classifying shapes, and lines of symmetry.

How to Pass the NYS Math Grade 4 Exam

What You Need to Know

  • Passing score: Four performance levels on a scale score; Level 3 indicates meeting the Next Generation Learning Standards and Level 4 exceeds them.
  • Exam length: 100 questions
  • Time limit: Untimed; students get as much time as needed within the regular school day across two sessions given on separate days.
  • Exam fee: Free for New York public-school students; the test is state-mandated with no family registration cost.

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

NYS Math Grade 4 Study Tips from Top Performers

1Build fluency with multiplication facts up to 12 and the related division facts, since they support multi-digit multiplication and division throughout the test.
2Practice multi-digit multiplication and division with remainders, and learn to interpret what a remainder means in a word problem.
3Master equivalent fractions and the link between fractions and decimals, especially tenths and hundredths, because this domain is heavily tested.
4Use benchmark fractions like 0, 1/4, 1/2, 3/4, and 1 to compare and order fractions and decimals quickly.
5Practice using a protractor to measure and classify angles, and learn that angle measures add together when an angle is split into parts.
6Work area and perimeter problems for rectangles, practice customary and metric conversions, and read line plots to answer multi-step questions.

Frequently Asked Questions

What is the New York State Grade 4 Mathematics Test?

It is New York's annual spring assessment for fourth-grade math, part of the New York State Testing Program. It is aligned to the New York State Next Generation Learning Standards for Mathematics and administered by the New York State Education Department.

What math topics are on the NYS Grade 4 Mathematics Test?

The test covers whole-number operations, multiplicative comparison, factors and multiples, place value and rounding, fractions and decimals, angles, area and perimeter, measurement conversions, and data such as line plots, all from the Next Generation Grade 4 standards.

How is the NYS Grade 4 Mathematics Test scored?

Scores are reported as a scale score with four performance levels. Level 3 indicates the student is meeting the Next Generation Learning Standards, and Level 4 indicates the student exceeds them, while Levels 1 and 2 indicate partial or below-standard performance.

How long is the NYS Grade 4 Mathematics Test and how many sessions are there?

The test has two sessions given on separate days. It is untimed, so students get as much time as they need within the regular school day. Session 1 is all multiple-choice and Session 2 also includes constructed-response questions.

Is there a cost to take the NYS Grade 4 Mathematics Test?

No. The test is a state-mandated assessment given to New York public-school students at no cost, so there is no registration fee for families.

Can Grade 4 students use a calculator or tools on the NYS Math Test?

No calculator is allowed for Grades 3 through 5. Grade 4 students are provided a ruler and a protractor for both sessions and compute by hand.