3rd Grade NYSE Math Practice Test Questions

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?

A. 36

B. 38

C. 30

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.

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.

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Answers:

2- D
\(14 × 40 = 560\)

3- D
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 25 and 35, so the answer is 30.

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.

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For a workbook your child can use alongside this practice test, Mastering Grade 3 Math walks through every grade 3 topic on the NYS test. For extended-response practice (where most third-graders lose points), see Mastering Grade 3 Math Word Problems.

Frequently Asked Questions

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

Yes. The New York State Education Department posts released questions from past grade 3 math tests as free PDFs, and many schools share them with families. Print a set along with the practice questions above and have your third grader work it with just a pencil, since calculators are not allowed at grade 3. Check answers together and note which skills, like fractions or area, cause trouble.

Where can I find NYS grade 3 math test released questions?

NYSED publishes released questions from recent Grades 3-8 math tests on its website, along with answer keys and scoring guides for the written items. These are real questions that counted on past tests, so they show exactly how New York words problems about multiplication, fractions and area. The scoring guides are worth reading too, because they show how partial credit works on short-response answers.

What is on the NYSED grade 3 math state test?

The grade 3 state test checks the New York State Next Generation Mathematics Learning Standards: multiplication and division within 100, fractions on a number line and equivalent fractions, area and perimeter, place value, time and measurement, and two-step word problems. Multiplication facts show up everywhere. A child who knows 8 × 9 = 72 can solve a problem like sharing 72 stickers equally among 8 friends in seconds.

What kinds of questions are on the 3rd grade NYS math test?

The test mixes multiple-choice questions with short-response and extended-response problems where your child must show their work. On the written items, a correct answer with clear steps earns full credit, and a partly correct method can still earn some points. Practice having your child write a number sentence for every word problem, such as 4 × 6 = 24 for four rows of six chairs.

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

Good options include NYSED’s released grade 3 questions, which come with answer keys, and printable practice sets like the questions above with worked answers. Have your child finish the whole test before looking at any answers. Then, for each miss, ask them to explain their thinking out loud. Often the mistake is a misread word problem rather than a real gap in multiplication or fractions.

Related EffortlessMath Lessons

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

• How to multiply and divide
• How to add and subtract multi-digit numbers
• How to compare fractions
• How to find the area of a rectangle
• How to solve word problems