• 44 questions

NYS Math Practice Test Grade 5

Grade 5 math in the domains New York's test blueprint weighs most, with the steps under every answer.

In the number 6.66, the value of the 6 in the ones place is how many times the value of the 6 in the hundredths place?

Pick an answer, then press Check answer. Then you see Correct or Not quite, with the reason. Keys: A to D pick, Enter checks.

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Exam mode: 44 questions, no time limit.

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Unofficial practice questions, not affiliated with the New York State Education Department. Bank checked October 9, 2026.

The real test: New York State math, grade 5

Questions
44
Time limit
None
Sessions
Two, on two days. Session 1 has 30 multiple-choice questions, some of them field test questions. Session 2 has 5 multiple-choice and 9 constructed-response ques
Usual time
No limit. The guide estimates 80 to 90 minutes for Session 1 and 70 to 80 minutes for Session 2.
Blueprint
Number and Operations in Base Ten 25 to 35%, Fractions 34 to 44%, Measurement and Data 22 to 32%, Geometry 2 to 7%. Operations and Algebraic Thinking is taught
Constructed response
3 questions worth 1 credit, 5 worth 2 credits and 1 worth 3 credits.
Tools
No calculator in grade 5. Each student has a ruler, a protractor and the grade 5 reference sheet.
Score levels, 2026
Level 1 384 to 431, Level 2 432 to 449, Level 3 450 to 482, Level 4 483 to 513. Level 3 is proficient.

Checked October 9, 2026 against the Educator Guide to the 2025 Grades 3-8 Mathematics Tests and the 2026 Performance Levels and Scale Score Ranges, New York State Education Department. Rules change, so confirm with the agency itself before your test.

NYSED's past grades 3-8 tests

Next step More grade 5 math practiceReview: grade 4 math practice

All 44 questions

Number and Operations in Base Ten 13

  • How is 40.017 written in words? New York State Next Generation Mathematics Learning Standards, standard NY-5.NBT.3a
  • In the number 6.66, the value of the 6 in the ones place is how many times the value of the 6 in the hundredths place? New York State Next Generation Mathematics Learning Standards, standard NY-5.NBT.1
  • What is 0.6 × 0.35? New York State Next Generation Mathematics Learning Standards, standard NY-5.NBT.7
  • What is 6.08 × 10³? New York State Next Generation Mathematics Learning Standards, standard NY-5.NBT.2
  • What is 8.52 ÷ 0.6? New York State Next Generation Mathematics Learning Standards, standard NY-5.NBT.7
  • What is 20.05 − 6.8? New York State Next Generation Mathematics Learning Standards, standard NY-5.NBT.7
  • What is 27.495 rounded to the nearest hundredth? New York State Next Generation Mathematics Learning Standards, standard NY-5.NBT.4
  • What is 39.4 ÷ 10²? New York State Next Generation Mathematics Learning Standards, standard NY-5.NBT.2
  • What is 506 × 84? New York State Next Generation Mathematics Learning Standards, standard NY-5.NBT.5
  • What is 4,930 ÷ 58? New York State Next Generation Mathematics Learning Standards, standard NY-5.NBT.6
  • Which number has a 5 whose value is 1/10 of the value of the 5 in 2.5? New York State Next Generation Mathematics Learning Standards, standard NY-5.NBT.1
  • Which number is 9 × 100 + 2 × 1 + 6 × (1/100) + 5 × (1/1,000)? New York State Next Generation Mathematics Learning Standards, standard NY-5.NBT.3a
  • Which statement comparing two decimals is true? New York State Next Generation Mathematics Learning Standards, standard NY-5.NBT.3b
Show all 44 questions (31 more)

Number and Operations: Fractions 17

  • A 29-yard roll of fabric is cut into 6 banners of equal length. How long is each banner? New York State Next Generation Mathematics Learning Standards, standard NY-5.NF.3
  • A class has 35 students, and 2/7 of them walk to school. How many students walk to school? New York State Next Generation Mathematics Learning Standards, standard NY-5.NF.4a
  • A cook shares 7 liters of soup equally among 12 bowls. How much soup is in each bowl? New York State Next Generation Mathematics Learning Standards, standard NY-5.NF.3
  • A ferry ride takes 7/10 hour going out and 3/4 hour coming back. How long are the two rides together? New York State Next Generation Mathematics Learning Standards, standard NY-5.NF.2
  • A picture 15 centimeters wide is resized by a factor of 4/3. What is its new width? New York State Next Generation Mathematics Learning Standards, standard NY-5.NF.5b
  • A potter has 6 pounds of clay and uses 1/4 pound for each cup. How many cups can the potter make? New York State Next Generation Mathematics Learning Standards, standard NY-5.NF.7c
  • A tile is 5/6 foot long and 3/5 foot wide. What is its area? New York State Next Generation Mathematics Learning Standards, standard NY-5.NF.4b
  • A trail is 3 3/4 miles long. Kai runs 2/5 of the trail. How far does Kai run? New York State Next Generation Mathematics Learning Standards, standard NY-5.NF.6
  • Tia adds 3/5 + 7/8 and gets 10/13. Which reasoning shows her answer cannot be right? New York State Next Generation Mathematics Learning Standards, standard NY-5.NF.2
  • What is 1/6 ÷ 4? New York State Next Generation Mathematics Learning Standards, standard NY-5.NF.7a
  • What is 3/4 + 5/9? New York State Next Generation Mathematics Learning Standards, standard NY-5.NF.1
  • What is 4 1/3 − 1 3/4? New York State Next Generation Mathematics Learning Standards, standard NY-5.NF.1
  • What is 6/10 + 8/100? New York State Next Generation Mathematics Learning Standards, standard NY-4.NF.5
  • What is 9 ÷ 1/5? New York State Next Generation Mathematics Learning Standards, standard NY-5.NF.7b
  • What is the product of 5/8 and 4/15, in simplest form? New York State Next Generation Mathematics Learning Standards, standard NY-5.NF.4a
  • Which list shows 0.5, 0.09 and 0.45 in order from least to greatest? New York State Next Generation Mathematics Learning Standards, standard NY-4.NF.7
  • Without multiplying, which product is less than 72? New York State Next Generation Mathematics Learning Standards, standard NY-5.NF.5a

Measurement and Data 12

  • A coach fills 14 bottles with 750 milliliters of water each. There are 1,000 milliliters in 1 liter. How many liters of water does the coach use? New York State Next Generation Mathematics Learning Standards, standard NY-5.MD.1
  • A hallway is 8 1/3 yards long. There are 3 feet in 1 yard. How many feet long is the hallway? New York State Next Generation Mathematics Learning Standards, standard NY-5.MD.1
  • A line plot shows the lengths of five leaves: 1/8, 1/4, 1/4, 3/8 and 1/2 inch. What is the total length of the five leaves? New York State Next Generation Mathematics Learning Standards, standard NY-5.MD.2
  • A line plot shows the rain on five days: 1/4, 1/4, 1/2, 3/4 and 3/4 inch. How much more rain fell on the two wettest days together than on the two driest days together? New York State Next Generation Mathematics Learning Standards, standard NY-5.MD.2
  • A planter shaped like a rectangular prism is 30 inches long, 8 inches wide and 9 inches deep. What is its volume? New York State Next Generation Mathematics Learning Standards, standard NY-5.MD.5b
  • A puppy weighs 118 ounces. There are 16 ounces in 1 pound. What is its weight in pounds and ounces? New York State Next Generation Mathematics Learning Standards, standard NY-5.MD.1
  • A rectangular prism has a base with an area of 28 square feet and a volume of 196 cubic feet. What is its height? New York State Next Generation Mathematics Learning Standards, standard NY-5.MD.5b
  • A rectangular prism is built from centimeter cubes. Its bottom layer has 3 rows of 7 cubes, and the prism is 4 layers tall. What is its volume? New York State Next Generation Mathematics Learning Standards, standard NY-5.MD.4
  • A step is made of two rectangular prisms that do not overlap. One is 6 feet by 2 feet by 1 foot. The other is 3 feet by 2 feet by 4 feet. What is the volume of the step? New York State Next Generation Mathematics Learning Standards, standard NY-5.MD.5c
  • Band practice starts at 3:40 p.m. and lasts 95 minutes. At what time does it end? New York State Next Generation Mathematics Learning Standards, standard NY-4.MD.2
  • Which length is the same as 6 kilometers? New York State Next Generation Mathematics Learning Standards, standard NY-4.MD.1
  • Which unit can be used to measure the volume of a shoebox? New York State Next Generation Mathematics Learning Standards, standard NY-5.MD.3a

Geometry 2

  • New York defines a trapezoid as a quadrilateral in which one or more pairs of sides are parallel. Which statement is true under this definition? New York State Next Generation Mathematics Learning Standards, standard NY-5.G.4
  • Which shape does NOT always have two pairs of parallel sides? New York State Next Generation Mathematics Learning Standards, standard NY-5.G.3

How this list was compiled: Outline: Educator Guide to the 2025 Grades 3-8 Mathematics Tests, New York State Education Department, https://www.nysed.gov/sites/default/files/programs/state-assessment/3-8-educator-guide-math-2025.pdf, the newest educator guide listed on the department's Grades 3-8 English Language Arts and Mathematics Test Manuals, Educator Guides and Teacher's Directions page, https://www.nysed.gov/state-assessment/grades-3-8-ela-and-math-test-manuals, read 2026-10-09. Each question names the standard it practices in the New York State Next Generation Mathematics Learning Standards, https://www.nysed.gov/sites/default/files/programs/curriculum-instruction/nys-next-generation-mathematics-p-12-standards.pdf, read 2026-10-09. The answers are arithmetic on the numbers in the question, worked out a second time. Licence: Own work. Questions, answer choices and explanations were written for this site. Nothing is copied or reworded from a New York State test, a released question of the state or another practice test.

How it works

Unofficial practice for the grade 5 New York State Mathematics Test. Every question was written for this site from the Next Generation Learning Standards; none is a released question. Not affiliated with the New York State Education Department.

Read the full guide

What the New York State grade 5 math test covers

The blueprint in NYSED's educator guide gives fractions the largest share, 34 to 44 percent, then base ten numbers and decimals, 25 to 35, measurement and volume, 22 to 32, and geometry, 2 to 7. Order of operations, patterns and the coordinate plane are taught after the test and assessed in grade 6, so this page leaves them out.

Checking an answer

Each question names the standard it practices, such as NY-5.NF.4a, and the explanation shows the steps. The arithmetic was done twice from the numbers in the question.

  • No calculator is allowed in grade 5, so work every question with pencil and paper.

Questions and answers

How many questions are on the NYS grade 5 math test?

44 over two days. Session 1 has 30 multiple-choice questions. Session 2 has 5 multiple-choice and 9 constructed-response questions worth 1, 2 or 3 credits. Some Session 1 questions are field test questions that do not count.

Is the New York State math test timed?

No. Students get as much time as they need within the school day. For grade 5 the educator guide estimates 80 to 90 minutes for Session 1 and 70 to 80 minutes for Session 2.

Are there 5th grade math practice tests for NYS testing from the state?

NYSED posts released questions from past grades 3 to 8 tests, and the box under the questions links to them. The questions on this page are different: unofficial practice written for this site.

Does this New York State practice math test for grade 5 give a performance level?

No. The state reports four performance levels on a scale score. In 2026, Level 3, which means proficient, began at a scale score of 450 in grade 5 mathematics. A percent here cannot be turned into a level.

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