3rd Grade NYSE Math FREE Sample Practice Questions

3rd Grade NYSE Math FREE Sample Practice Questions

TL;DR: Want a realistic look at New York’s grade 3 math test before your child takes it? These free sample practice questions are modeled on the actual NYSE, aligned to the Next Generation Learning Standards. Worked answers let your child review missed problems on their own. One short sitting at the kitchen table tells you which Next Gen topics still need a little more attention before test day.

Key takeaways:

  • Free sample set covering the main grade 3 NYS math topics in one short session.
  • Aligned to the New York State Next Generation Learning Standards for grade 3 math.
  • Each answer is fully worked out so your child sees the reasoning.
  • No calculator on the grade 3 NYS math test.
  • Use this as a diagnostic before scheduling a longer practice test.

Preparing your student for the 3rd Grade NYSE Math test? To succeed on the NYSE Math test, students need to practice as many real NYSE Math questions as possible.  There’s nothing like working on NYSE Math sample questions to measure your student’s exam readiness and put him/her more at ease when taking the NYSE Math test. The sample math questions you’ll find here are brief samples designed to give students the insights they need to be as prepared as possible for their NYSE Math test.

Check out our sample NYSE Math practice questions to find out what areas your student needs to practice more before taking the NYSE Math test!

Start preparing your student for the 2026 NYSE Math test with our free sample practice questions. Also, make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions students need to practice.

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t tens, and nine ones

4- What is the value of “A” in the following equation?
\(21 + A + 9 = 44\)

A. 10

B. 12

C. 14

D. 20

5- Mr. Smith usually eats four meals a day. How many meals does he eat in a week?

A. 21

B. 24

C. 28

D. 30

6- What is the value of A in the equation \(72 ÷ A = 8\)

A. 2

B. 6

C. 7

D. 9

7- Use the models below to answer the question.
\(practice test diagram\)
Which statement about the models is true?

A. Each shows the same fraction because they are the same size.

B. Each shows a different fraction because they are different shapes.

C. Each shows the same fraction because they both have 3 sections shaded.

D. Each shows a different fraction because they both have 3 shaded sections but a different number of total sections.

8- To what number is the arrow pointing?
\(practice test diagram\)

A. 36

B. 38

C. 40

D. 42

9- Emily has 108 stickers and she wants to give them to nine of her closest friends. If she gives them all an equal number of stickers, how many stickers will each of Emily’s friends receive?___________

10- The following models are the same size and each is divided into equal parts.
The models can be used to write two fractions.
\(practice test diagram\)
Based on the models, which of the following statements is true?

A. \(\frac{2}{8}\) is bigger than \(\frac{4}{16}\).

B. \(\frac{2}{8}\) is smaller than \(\frac{4}{16}\).

C. \(\frac{2}{8}\) is equal to \(\frac{4}{16}\).

D. We cannot compare these two fractions only by using the models.

Best 3rd Grade NYSE Math Prep Resource for 2026

Answers:

1- A
\(8000 – 658 = 7342\)

2- D
\(14 × 40 = 560\)

3- C
24,589 is the sum of \(20,000; 4,000; 500; 80;\) and 9

4- C
\(A = 44 – (21 + 9)\)
\(A = 14\)

5- C
In 1 day 4 meals so \(4 × 7 = 28\) meals a week.

6- D
\(A = 72 ÷ 8\)
\(A= 9 \)

7- D
the model for the first fraction is divided into 6 equal parts. We shade 3_6 to show the same amount as 1_2. The model for the second fraction is divided into 8 equal parts. We shade 3_ 8 that it shows these two models are different fractions.

8- C
The arrow shows exactly the middle of two numbers 35 and 45, so the answer is 40

9- 12
\(108 ÷ 9 = 12\)

10- C
the model for the first fraction is divided into 8 equal parts. We shade 2_ 8 to show the same amount as 1_ 4. The model for the second fraction is divided into 16 equal parts. We shade 4_ 16 to show the same amount as 1_ 4.

Looking for the best resource to help you succeed on the 3rd Grade NYSE Math test?

The Best Books to Ace the 3rd Grade NYSE Math Test

Recommended EffortlessMath Books

For a workbook your child can use alongside these sample questions, Mastering Grade 3 Math walks through every grade 3 topic on the NYS test. For extended-response and word-problem practice, see Mastering Grade 3 Math Word Problems.

Frequently Asked Questions

What is on the NYS grade 3 math state test?

New York’s grade 3 math state test, written by NYSED to the Next Generation Learning Standards, centers on multiplication and division within 100, fractions on a number line, area and perimeter, place value and rounding, and two-step word problems. Calculators aren’t allowed, so fact fluency matters. A typical problem: a garden 6 feet long and 4 feet wide has an area of 6 × 4 = 24 square feet.

Is there a NYS 3rd grade math practice test PDF?

Yes. NYSED posts released questions from past grade 3 math tests as PDFs, with scoring guides for the written-response items. Print a set and let your child work it at the table with a pencil. Then read the scoring guide together to see how much work a full-credit answer shows, since third graders often lose points for leaving out their steps.

Where can I find a grade 3 math test with answers PDF?

Look for practice sets that include worked answers, not just an answer key, so your child can see why each answer is right. NYSED’s released grade 3 questions come with answer keys and sample responses, and sample question sets with step-by-step solutions add more practice. For example, a worked answer to 56 ÷ 7 shows the related fact 7 × 8 = 56, so the quotient is 8.

What are some sample 3rd grade math questions?

Typical 3rd grade questions ask things like: What is 8 × 6? (48) A rectangle is 5 cm by 3 cm; what is its perimeter? (16 cm) A number line from 0 to 1 is split into 4 equal parts; what fraction is at the third mark? (3/4) On the NYS test, word problems often take two steps, such as buying 3 packs of 6 pencils and giving away 4 (14 left).

Is there a free practice math test for 3rd grade?

Yes. NYSED’s released test questions are free and match New York’s grade 3 format, and free sample question sets make a good warm-up before them. Start with a short set to spot gaps, then try a longer practice test closer to spring. Keep the first attempt untimed so your third grader focuses on careful reading, and add a timer in the last few weeks.

Related EffortlessMath Lessons

If a topic on this page feels rusty, these short lessons go deeper:

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