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100+ Free NY Grade 5 Math Practice Questions

Pass your New York State Grade 5 Mathematics Test exam on the first try — instant access, no signup required.

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The first layer of a right rectangular prism is made of 15 unit cubes. The prism is 6 cubes tall. What is the volume of the prism in cubic units?

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Key Facts: NY Grade 5 Math Exam

The NYS Grade 5 Mathematics Test is New York's spring computer-based assessment on the Next Generation Learning Standards, covering decimal and whole-number operations, fractions, volume, the first-quadrant coordinate plane, powers of 10, and order of operations; Level 3 means meeting the standards.

Sample NY Grade 5 Math Practice Questions

Try these sample questions to test your NY Grade 5 Math exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Which number has a 7 in the thousandths place?
A.12.275
B.12.527
C.12.752
D.7.012
Explanation: Reading to the right of the decimal point, the places are tenths, hundredths, then thousandths. The thousandths place is the third decimal digit. In 12.527 the digits are 5 tenths, 2 hundredths, 7 thousandths, so the 7 is in the thousandths place.
2Which number has a 2 in the tens place?
A.0.26
B.2.09
C.3.726
D.425.9
Explanation: The tens place is the second digit to the left of the decimal point. In 425.9 the digits to the left of the decimal are 4 (hundreds), 2 (tens), 5 (ones), so the 2 is in the tens place.
3What is 6.4 multiplied by 100?
A.0.064
B.64
C.640
D.6,400
Explanation: Multiplying by 100 (which is 10 squared) moves the decimal point two places to the right. Starting at 6.4, moving the decimal two places right gives 640.
4What is 350 divided by 10 to the power of 2?
A.3.5
B.35
C.3,500
D.35,000
Explanation: 10 to the power of 2 equals 100. Dividing by 100 moves the decimal point two places to the left. Starting at 350 (or 350.0), moving the decimal two places left gives 3.5.
5Which expression shows 8 times 10 to the power of 3?
A.80
B.800
C.8,000
D.80,000
Explanation: 10 to the power of 3 equals 10 x 10 x 10 = 1,000. So 8 times 1,000 equals 8,000.
6What is the value of the expression 3 + 4 x 5?
A.23
B.35
C.27
D.60
Explanation: Using the order of operations, multiplication is done before addition. First 4 x 5 = 20, then 3 + 20 = 23.
7What is the value of the expression 2 x (6 + 3) - 4?
A.11
B.14
C.8
D.26
Explanation: Work inside the parentheses first: 6 + 3 = 9. Then multiply: 2 x 9 = 18. Finally subtract: 18 - 4 = 14.
8Which expression represents 'add 8 and 5, then multiply the sum by 3'?
A.8 + 5 x 3
B.3 x (8 + 5)
C.(8 x 3) + 5
D.8 + (5 x 3)
Explanation: The phrase says to add 8 and 5 first, so that sum must be grouped in parentheses: (8 + 5). Then the whole sum is multiplied by 3, giving 3 x (8 + 5).
9What is 0.7 + 0.45?
A.0.52
B.1.15
C.0.115
D.1.5
Explanation: Line up the decimal points and add: 0.70 + 0.45. Adding the hundredths gives 0 + 5 = 5, the tenths give 7 + 4 = 11, so the result is 1.15.
10What is 5.3 - 2.78?
A.2.52
B.3.52
C.2.62
D.2.48
Explanation: Write 5.3 as 5.30 and line up the decimal points. Subtracting 5.30 - 2.78 gives 2.52.

About the NY Grade 5 Math Exam

The New York State Grade 5 Mathematics Test is a statewide assessment that fifth graders take each spring as part of the Grades 3-8 testing program. It is aligned to New York's P-12 Next Generation Learning Standards for Mathematics and is administered in two sessions on two consecutive school days, with no time limit. Beginning in the 2025-26 school year, the test is required to be taken on a computer for most students. The test combines multiple-choice questions with 1-, 2-, and 3-credit constructed-response questions across five grade-5 domains: Operations and Algebraic Thinking; Number and Operations in Base Ten; Number and Operations - Fractions; Measurement and Data; and Geometry. Grade-5 content focuses on decimal place value to the thousandths, multiplying and dividing by powers of 10, fraction and mixed-number operations, the volume of right rectangular prisms, plotting points in the first quadrant of the coordinate plane, and the order of operations. Results are reported as a scale score in four performance levels, with Level 3 indicating that a student is meeting the standards. NYSED releases approximately 75 percent of the prior year's questions, so families and educators can review the real item style.

Questions

100 scored questions

Time Limit

Untimed in policy; administered in two sessions on two consecutive school days, with as much time as students need each day.

Passing Score

Reported as a scale score in four performance levels; Level 3 and above indicates students are meeting the Next Generation Learning Standards.

Exam Fee

Free; there is no cost to students or families. (New York State Education Department (test developed by NWEA, a division of HMH))

NY Grade 5 Math Exam Content Outline

15-20%

Operations and Algebraic Thinking

Order of operations with grouping symbols, writing and interpreting numerical expressions, and analyzing numerical patterns and relationships.

25-30%

Number and Operations in Base Ten

Decimal place value to the thousandths, multiplying and dividing by powers of 10, comparing and rounding decimals, and multi-digit whole-number multiplication and division.

30-35%

Number and Operations - Fractions

Adding and subtracting fractions and mixed numbers with unlike denominators, multiplying fractions as scaling, and dividing unit fractions and whole numbers.

20-25%

Measurement, Data, and Geometry

Volume of right rectangular prisms, converting measurement units, plotting first-quadrant coordinate points, line plots, and classifying two-dimensional figures.

How to Pass the NY Grade 5 Math Exam

What You Need to Know

  • Passing score: Reported as a scale score in four performance levels; Level 3 and above indicates students are meeting the Next Generation Learning Standards.
  • Exam length: 100 questions
  • Time limit: Untimed in policy; administered in two sessions on two consecutive school days, with as much time as students need each day.
  • Exam fee: Free; there is no cost to students or families.

Keys to Passing

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

NY Grade 5 Math Study Tips from Top Performers

1Practice decimal place value to the thousandths and reading, comparing, and rounding decimals, since these appear throughout the base-ten domain.
2Master multiplying and dividing by powers of 10 by tracking how the decimal point moves left or right.
3Add and subtract fractions and mixed numbers with unlike denominators by finding a common denominator before combining.
4Learn the volume formula V = length x width x height and practice finding a missing edge length when the volume of a right rectangular prism is given.
5Follow the order of operations carefully, doing work inside grouping symbols first and then multiplication and division before addition and subtraction.
6Practice plotting and reading ordered pairs in the first quadrant, remembering that the x-coordinate comes before the y-coordinate.

Frequently Asked Questions

What is the New York State Grade 5 Mathematics Test?

It is New York's statewide spring assessment for fifth-grade mathematics, part of the Grades 3-8 testing program and aligned to the P-12 Next Generation Learning Standards. It measures whether students are meeting grade-5 math expectations.

What math topics are on the Grade 5 NYS test?

It covers five domains: operations and algebraic thinking, number and operations in base ten, fractions, measurement and data, and geometry. Key content includes decimals to the thousandths, fraction operations, volume, the coordinate plane, powers of 10, and order of operations.

How is the Grade 5 NYS Math test scored?

Scores are reported as a scale score in four performance levels. Level 3 and above means a student is meeting the Next Generation Learning Standards, while Levels 1 and 2 indicate the student is approaching or below the standards.

What kinds of questions are on the Grade 5 NYS Math test?

The test includes multiple-choice questions and 1-, 2-, and 3-credit constructed-response questions. Many questions are framed as real-world applications and require students to complete multiple steps or apply more than one standard.

How is the Grade 5 Math test administered?

It is given in two sessions on two consecutive school days, and there is no time limit, so students may take as long as they need each day. Beginning in 2025-26, most students take the test on a computer.

Are real Grade 5 NYS Math questions available to practice?

Yes. NYSED releases approximately 75 percent of each year's test questions, including all constructed-response questions, along with an item map showing the measured standard and the correct answer, so families can review the real item style.