Career upgrade: Learn practical AI skills for better jobs and higher pay.
Level up
All Practice Exams

100+ Free NYS Math Grade 3 Practice Questions

Pass your New York State Grade 3 Mathematics Test exam on the first try — instant access, no signup required.

✓ No registration✓ No credit card✓ No hidden fees✓ Start practicing immediately
100+ Questions
100% Free
1 / 100
Question 1
Score: 0/0

Sam has 36 stickers and wants to share them equally among 4 friends. How many stickers does each friend get?

A
B
C
D
to track
2026 Statistics

Key Facts: NYS Math Grade 3 Exam

The NYS Grade 3 Mathematics Test is New York's Next Generation Standards-aligned, computer-based spring assessment given in two sessions, covering multiplication and division, place value, fractions, area, perimeter, time, data, and geometry across four standards domains.

Sample NYS Math Grade 3 Practice Questions

Try these sample questions to test your NYS Math Grade 3 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A sheet of paper has 24 stickers arranged in rows with 6 stickers in each row. Which expression shows how to find the number of rows?
A.24 ÷ 6
B.24 × 6
C.24 + 6
D.24 − 6
Explanation: To find the number of equal rows when you know the total and how many are in each row, you divide. So 24 ÷ 6 = 4 rows. Division separates a total into equal-size groups.
2A number is rounded to the nearest ten and the result is 300. Which number could it have been before rounding?
A.289
B.315
C.308
D.296
Explanation: When rounding to the nearest ten, any number from 295 to 304 rounds to 300. The number 296 falls in that range because its tens-and-ones value is closest to 300.
3Which fraction is shown by point P on a number line where the space from 0 to 1 is divided into 4 equal parts and P sits on the third mark?
A.1/4
B.2/4
C.3/4
D.4/4
Explanation: When 0 to 1 is split into 4 equal parts, each part is 1/4. Point P at the third mark is 3 parts from 0, so it represents 3/4.
4A librarian has 7 boxes of books, and each box has 9 books. Which expression shows how to find the total number of books?
A.7 + 9
B.9 − 7
C.7 × 9
D.9 ÷ 7
Explanation: Equal groups joined together are found by multiplication. With 7 boxes of 9 books each, the total is 7 × 9 = 63 books.
5A flower garden is made of two rectangles joined together. One part is 6 ft by 3 ft and the other part is 3 ft by 3 ft. What is the total area in square feet?
A.22
B.27
C.51
D.54
Explanation: Find the area of each rectangle and add them. The first is 6 × 3 = 18 square feet and the second is 3 × 3 = 9 square feet, so 18 + 9 = 27 square feet.
6Which fraction is equivalent to 1/2?
A.2/4
B.1/4
C.3/4
D.1/3
Explanation: Two fractions are equivalent when they name the same amount. 2/4 means 2 out of 4 equal parts, which covers the same amount as 1/2, so 2/4 = 1/2.
7A teacher covers a wall with 100 square pictures, each with side lengths of 1 foot, leaving no gaps or overlaps. What is the total area of the wall?
A.1 foot
B.100 feet
C.1 square foot
D.100 square feet
Explanation: Each picture is 1 foot by 1 foot, which is 1 square foot of area. With 100 pictures covering the wall, the area is 100 square feet. Area is always measured in square units.
8Which expression is equivalent to 4 × 6?
A.4 + 6
B.6 × 6
C.4 + 4 + 4
D.6 + 6 + 6 + 6
Explanation: Multiplication means repeated addition of equal groups. 4 × 6 means four groups of 6, which is 6 + 6 + 6 + 6 = 24.
9A rectangle is 5 cm long and 4 cm wide. Which expression cannot be used to find its area in square centimeters?
A.5 × 4
B.4 × 5
C.5 + 5 + 5 + 5
D.5 + 4
Explanation: Area of a rectangle is length times width, so 5 × 4 = 20 square centimeters. The expression 5 + 4 only adds the two side lengths and gives 9, which is not the area.
10What number multiplied by 8 equals 48?
A.4
B.6
C.7
D.8
Explanation: You need the missing factor in ? × 8 = 48. Since 6 × 8 = 48, the missing number is 6. You can also use division: 48 ÷ 8 = 6.

About the NYS Math Grade 3 Exam

The New York State Grade 3 Mathematics Test is part of the Grades 3-8 testing program and measures the Next Generation Mathematics Learning Standards. It is administered in the spring in two sessions over two school days, with the 2025-26 administration delivered as a computer-based test. Each session combines multiple-choice items with constructed-response items that ask students to show their work or explain their reasoning, worth 1, 2, or 3 credits. Items are organized around the grade 3 standards domains: Operations and Algebraic Thinking, Number and Operations in Base Ten, Number and Operations - Fractions, and Measurement, Data, and Geometry. Grade 3 emphasizes understanding multiplication and division within 144, developing an understanding of fractions as numbers, connecting area to multiplication, and reasoning about shapes. Each year NYSED releases the majority of the scored questions, including all constructed-response items, along with item maps showing the standard measured by each question. Results are reported on the New York State scale with four performance levels.

Questions

40 scored questions

Time Limit

Untimed within reason; the test is given in two sessions on two consecutive school days, and students may take as much time as they need to finish each session.

Passing Score

Scored on the New York State scale with four performance levels; Level 3 (Proficient) and Level 4 (Excels) indicate the student meets or exceeds the grade 3 learning standards.

Exam Fee

Free to students and families; the New York State Grades 3-8 Mathematics Test is a state-funded assessment administered by New York public schools. (New York State Education Department (delivered by NWEA, a division of HMH))

NYS Math Grade 3 Exam Content Outline

30-40%

Operations and Algebraic Thinking

Multiplication and division within 144, equal groups and arrays, properties of operations, two-step word problems, unknowns in equations, multiples, and even and odd numbers.

10-20%

Number and Operations in Base Ten

Place value to the thousands, reading, writing, comparing and ordering whole numbers, rounding to the nearest 10 and 100, multi-digit addition and subtraction, and multiplying by multiples of 10.

20-30%

Number and Operations - Fractions

Fractions as numbers, unit fractions, fractions on a number line, equivalent fractions, whole numbers as fractions, and comparing fractions with the same numerator or denominator.

20-30%

Measurement, Data, and Geometry

Area and its link to multiplication, perimeter, telling and elapsed time, measuring length, volume and mass, scaled bar graphs, pictographs and line plots, and categories of quadrilaterals.

How to Pass the NYS Math Grade 3 Exam

What You Need to Know

  • Passing score: Scored on the New York State scale with four performance levels; Level 3 (Proficient) and Level 4 (Excels) indicate the student meets or exceeds the grade 3 learning standards.
  • Exam length: 40 questions
  • Time limit: Untimed within reason; the test is given in two sessions on two consecutive school days, and students may take as much time as they need to finish each session.
  • Exam fee: Free to students and families; the New York State Grades 3-8 Mathematics Test is a state-funded assessment administered by New York public schools.

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 3 Study Tips from Top Performers

1Practice multiplication and division facts with factors up to 12 until they are automatic, since they appear throughout the Operations and Algebraic Thinking items.
2Use number lines and area models to make fractions and equivalent fractions concrete instead of memorizing rules.
3Master rounding to the nearest 10 and 100 by checking the digit just to the right of the rounding place.
4Connect area to multiplication by counting unit squares and multiplying length by width on rectangles and L-shaped figures.
5Practice elapsed-time problems on a clock, counting up to the next hour and then adding the remaining minutes.
6Read every bar graph, pictograph and line plot carefully, noting the scale or key before answering data questions.

Frequently Asked Questions

What is the New York State Grade 3 Mathematics Test?

It is New York's spring mathematics assessment for third graders, measuring the Next Generation Mathematics Learning Standards. It is given in two sessions on two school days, with the 2025-26 administration delivered on the computer.

What math topics are on the Grade 3 NYS test?

The test covers multiplication and division within 144, place value and multi-digit addition and subtraction, fractions as numbers, area and perimeter, time and measurement, reading scaled graphs and line plots, and categories of shapes such as quadrilaterals.

How is the Grade 3 NYS Math test organized?

Questions measure the grade 3 standards domains: Operations and Algebraic Thinking, Number and Operations in Base Ten, Number and Operations - Fractions, and Measurement, Data, and Geometry. The test uses multiple-choice and constructed-response items across two sessions.

How many questions are on the Grade 3 NYS Math test?

Each grade 3 administration has roughly 35 to 40 scored questions split across two sessions, mixing multiple-choice items with 1-, 2-, and 3-credit constructed-response items, plus embedded field-test items that do not count toward the score.

How long do students have to take the test?

The test is untimed within reason. It is given in two sessions on two consecutive school days, and students may take as much time as they need to answer the questions in each session.

How is the Grade 3 NYS Math test scored?

Scores are reported on the New York State scale with four performance levels. Level 3 (Proficient) and Level 4 (Excels) indicate the student meets or exceeds the grade 3 learning standards.