• 40 questions

NY State Test 3rd Grade Math Practice Online

Grade 3 math in the domains New York's test blueprint weighs most, with multiplication and division first.

Which story matches 6 × 4?

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

Print covers the next 38 questions. Share this set copies a link to the same questions in the same order.

Exam mode: 38 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 3

Questions
38
Time limit
None
Sessions
Two, on two days. Session 1 has 25 multiple-choice questions, some of them field test questions. Session 2 has 5 multiple-choice and 8 constructed-response ques
Usual time
No limit. The guide estimates 55 to 65 minutes for Session 1 and 60 to 70 minutes for Session 2.
Blueprint
Operations and Algebraic Thinking 31 to 43%, Number and Operations in Base Ten 7 to 14%, Fractions 18 to 29%, Measurement and Data 21 to 32%, Geometry 2 to 8%.
Constructed response
3 questions worth 1 credit, 4 worth 2 credits and 1 worth 3 credits.
Tools
No calculator in grade 3. Each student has a ruler; on a computer it is a tool on the screen.
Score levels, 2026
Level 1 381 to 423, Level 2 424 to 449, Level 3 450 to 486, Level 4 487 to 503. 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 3 math practiceNew York State math, grade 5

All 40 questions

Operations and Algebraic Thinking 15

  • A baker makes 48 rolls and sells 20 of them. He puts the rest equally into 4 bags. Which equation can be used to find n, the number of rolls in each bag? New York State Next Generation Mathematics Learning Standards, standard NY-3.OA.8a
  • A garden has 8 rows of tomato plants. Each row has 9 plants. How many tomato plants are in the garden? New York State Next Generation Mathematics Learning Standards, standard NY-3.OA.3
  • A ribbon is 54 inches long. Kai cuts it into pieces that are each 6 inches long. How many pieces does Kai get? New York State Next Generation Mathematics Learning Standards, standard NY-3.OA.3
  • A teacher puts 42 pencils into 7 cups. Each cup gets the same number. How many pencils are in each cup? New York State Next Generation Mathematics Learning Standards, standard NY-3.OA.2
  • Lena has 289 stamps and gets 412 more. She says she now has 701 stamps. Which estimate, made by rounding to the nearest hundred, shows her answer is reasonable? New York State Next Generation Mathematics Learning Standards, standard NY-3.OA.8b
Show all 40 questions (35 more)

Operations and Algebraic Thinking, continued

  • Look at the pattern 6, 12, 18, 24, 30. The rule is "add 6." Which statement is true of every number in the pattern? New York State Next Generation Mathematics Learning Standards, standard NY-3.OA.9
  • Mia has 5 packs of markers with 6 markers in each pack. She gives 8 markers to a friend. How many markers does Mia have left? New York State Next Generation Mathematics Learning Standards, standard NY-3.OA.8
  • Sam finds 2 × 7 × 5 by multiplying 2 × 5 first and then multiplying by 7. What answer does Sam get? New York State Next Generation Mathematics Learning Standards, standard NY-3.OA.5
  • What is 9 × 6? New York State Next Generation Mathematics Learning Standards, standard NY-3.OA.7b
  • What is the next number in this pattern? 5, 12, 19, 26, ? New York State Next Generation Mathematics Learning Standards, standard NY-3.OA.9
  • What number makes this equation true? 8 = ? ÷ 4 New York State Next Generation Mathematics Learning Standards, standard NY-3.OA.4
  • What number makes this equation true? ? × 9 = 36 New York State Next Generation Mathematics Learning Standards, standard NY-3.OA.4
  • Which is another way to find 6 × 8? New York State Next Generation Mathematics Learning Standards, standard NY-3.OA.5
  • Which multiplication fact helps you find 56 ÷ 8? New York State Next Generation Mathematics Learning Standards, standard NY-3.OA.6
  • Which story matches 6 × 4? New York State Next Generation Mathematics Learning Standards, standard NY-3.OA.1

Number and Operations in Base Ten 4

  • What is 4 × 80? New York State Next Generation Mathematics Learning Standards, standard NY-3.NBT.3
  • What is 467 rounded to the nearest ten? New York State Next Generation Mathematics Learning Standards, standard NY-3.NBT.1
  • What is 603 − 258? New York State Next Generation Mathematics Learning Standards, standard NY-3.NBT.2
  • Which shows 5,072 in expanded form? New York State Next Generation Mathematics Learning Standards, standard NY-3.NBT.4b

Number and Operations: Fractions 9

  • A number line from 0 to 1 is split into 4 equal parts. Which fraction is at the first mark after 0? New York State Next Generation Mathematics Learning Standards, standard NY-3.NF.2a
  • A number line from 0 to 1 is split into 8 equal parts. A dot is on the fifth mark after 0. Which fraction is at the dot? New York State Next Generation Mathematics Learning Standards, standard NY-3.NF.2b
  • A sheet cake is cut into 6 equal pieces. Four pieces are eaten. What fraction of the cake is eaten? New York State Next Generation Mathematics Learning Standards, standard NY-3.NF.1
  • Ana and Ben each have a pizza of the same size. Ana eats 2/6 of hers. Ben eats 5/6 of his. Who eats more? New York State Next Generation Mathematics Learning Standards, standard NY-3.NF.3d
  • Four friends each have a granola bar of the same size. Which fraction is the largest piece of a bar? New York State Next Generation Mathematics Learning Standards, standard NY-3.NF.3d
  • Which fraction is equal to the whole number 2? New York State Next Generation Mathematics Learning Standards, standard NY-3.NF.3c
  • Which fraction is equivalent to 3/4? New York State Next Generation Mathematics Learning Standards, standard NY-3.NF.3b
  • Which fraction marks the same point as 1/2 on a number line? New York State Next Generation Mathematics Learning Standards, standard NY-3.NF.3a
  • Which fraction means 5 parts when each part is 1/6 of the whole? New York State Next Generation Mathematics Learning Standards, standard NY-3.NF.1

Measurement and Data 10

  • A bag of apples has a mass of 450 grams. A bag of pears has a mass of 375 grams. What is the mass of both bags together? New York State Next Generation Mathematics Learning Standards, standard NY-3.MD.2b
  • A fish tank holds 48 liters of water. Dev fills it with a bucket that holds 6 liters. How many full buckets does it take to fill the tank? New York State Next Generation Mathematics Learning Standards, standard NY-3.MD.2b
  • A floor is shaped like the letter L. It is made of a 6-by-3 rectangle and a 2-by-4 rectangle that do not overlap. The sides are measured in feet. What is the area of the floor? New York State Next Generation Mathematics Learning Standards, standard NY-3.MD.7d
  • A rectangle is 4 units tall and 9 units wide. A line splits it into a 4-by-5 rectangle and a 4-by-4 rectangle. Which expression gives the area of the whole rectangle? New York State Next Generation Mathematics Learning Standards, standard NY-3.MD.7c
  • A rectangular garden has an area of 40 square feet. It is 5 feet wide. How long is the garden? New York State Next Generation Mathematics Learning Standards, standard NY-3.MD.7b
  • A rectangular rug is 7 feet long and 6 feet wide. What is the area of the rug? New York State Next Generation Mathematics Learning Standards, standard NY-3.MD.7b
  • A show starts at 6:20 p.m. and lasts 52 minutes. What time does it end? New York State Next Generation Mathematics Learning Standards, standard NY-3.MD.1
  • Leo covers a shape with 18 square tiles. Each tile is 1 square inch. There are no gaps and no overlaps. What is the area of the shape? New York State Next Generation Mathematics Learning Standards, standard NY-3.MD.6
  • Soccer practice starts at 3:45 p.m. and ends at 4:30 p.m. How long is practice? New York State Next Generation Mathematics Learning Standards, standard NY-3.MD.1
  • Tia reads for 25 minutes and then draws for 18 minutes. She finishes at 5:00 p.m. What time did she start reading? New York State Next Generation Mathematics Learning Standards, standard NY-3.MD.1

Geometry 2

  • A circle is divided into 8 parts that all have the same area. What fraction of the circle's area is one part? New York State Next Generation Mathematics Learning Standards, standard NY-3.G.2
  • A hexagon is divided into 3 parts with equal area. Two of the parts are shaded. What fraction of the hexagon's area is shaded? New York State Next Generation Mathematics Learning Standards, standard NY-3.G.2

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 3 New York State Mathematics Test, answered online on this page. The 40 questions are original to this site and follow the Next Generation Learning Standards. Not affiliated with the New York State Education Department.

Read the full guide

What the NY State 3rd grade math test covers

The blueprint in NYSED's educator guide gives Operations and Algebraic Thinking the largest share, 31 to 43 percent: multiplying and dividing within 100, two-step word problems and patterns. Measurement and Data has 21 to 32 percent (time, liquid volume, mass and area), fractions 18 to 29, base ten 7 to 14 and geometry 2 to 8. Graphs, line plots, perimeter and sorting shapes are taught after the test and assessed in grade 4, so this page leaves them out.

Checking an answer

Each question names its standard, such as NY-3.OA.8a, and shows the steps. Fractions use only halves, thirds, fourths, sixths and eighths, the denominators the grade 3 standards allow.

  • No calculator is allowed in grade 3, so work each question with pencil and paper.

Questions and answers

Is the NY State 3rd grade math test taken online?

Under NYSED's plan, yes. Its June 2022 memo required computer-based testing in grades 5 and 8 from spring 2024 and in every grade from 3 to 8 from spring 2026. On a computer the ruler is a tool on the screen.

How many questions does the 3rd grade NYS math test have?

It has 38, split across two days. Day one is Session 1, with 25 multiple-choice questions; some are field test questions that do not count. Day two is Session 2: 5 multiple-choice questions, then 8 constructed-response questions worth 1 to 3 credits each.

Is there a time limit on the 3rd grade NY math test?

No. A student may keep working as long as needed during the regular school day. For planning, NYSED's guide gives third grade averages of about 55 to 65 minutes for the first session and 60 to 70 for the second.

Are there NYS math grade 3 practice tests from the state?

NYSED posts released questions from past tests, linked in the box under the questions, and a Question Sampler that previews the computer testing tools. This page is separate from both, and its questions are unofficial.

What score is proficient on the NYS grade 3 math test?

Level 3 of the four performance levels means proficient. For third grade mathematics in 2026 it covered scale scores from 450 to 486, and Level 4 began at 487. The percent shown on this page is not a scale score.

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