FREE 3rd Grade PSSA Math Practice Test

For this practice test, we’ve selected 20 real questions from past exams for your students’ PSSA Practice test. Your student will have the chance to try out the most common PSSA Math questions. For every question, there is an in-depth explanation of how to solve the question and how to avoid mistakes next time.

Use our free PSSA Math practice tests and study resources (updated for 2026) to help your students ace the PSSA Math test! 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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1- Which of the following groups of numbers contains only even numbers?

A. \(15, 29, 42\)

B. \(15, 29, 83\)

C. \(15, 30, 42\)

D. \(42, 18, 30\)

2- Noah packs 18 boxes with crayons. Each box holds 40 crayons. How many crayons can Noah pack into these boxes?

A. 480

B. 540

C. 680

D. 720

3- A cafeteria menu had spaghetti with meatballs for $10 and bean soup for $6. How much would it cost to buy three plates of spaghetti with meatballs and two bowls of bean soup? __________

4- Which number correctly completes the number sentence \(25 × 50 =\)?

A. 225

B. 900

C. 1250

D. 2250

5- Michael has 745 marbles. What is this number rounded to the nearest ten? ____________

6- There are 60 minutes in an hour. How many minutes are in 6 hours?

A. 300 minutes

B. 320 minutes

C. 360 minutes

D. 400 minutes

7- Which number correctly completes the number sentence \(55 × 14 =\)?

A. 550

B. 660

C. 770

D. 990

8- Use the picture below to answer the question.

Which fraction shows the shaded part of this square?

A. \(\frac{88}{100}\)

B. \(\frac{88}{10}\)

C. \(\frac{8.8}{100}\)

D. \(\frac{8}{100}\)

9- What number makes this equation true?
\(12 × 8 = ⎕\)

A. 88

B. 96

C. 100

D. 108

10- Kayla has 109 red cards and 88 white cards. How many more red cards than white cards does Kayla have?

A. 17

B. 19

C. 21

D. 27

11- A number sentence is shown below.
\(3 × 7 \space ⎕ \space 6 = 126\)
What symbol goes into the box to make the number sentence true?

A. \(×\)

B. \(÷\)

C. \(+\)

D. \(-\)

12- Liam had 845 marbles. Then, he gave 455 of the cards to his friend Ethan. After that, Liam lost 116 cards.
Which equation can be used to find the number of cards Liam has now?

A. \(845 – 455 + 116 = \)

B. \(845 – 455 – 116 =\)

C. \(845 + 455 + 116 = \)

D. \(845 + 455 – 116 = \)

13- What is the value of “B” in the following equation?
\(33 + B + 8 = 66\)

A. 16

B. 18

C. 22

D. 25

14- Mason is 18 months old now, and he usually eats six meals a day. How many meals does he eat in a week?

A. 36

B. 40

C. 42

D. 48

15- Which of the following lists shows only fractions that are equivalent to \(\frac{1}{3}\)?

A. \(\frac{3}{9},\frac{5}{15},\frac{24}{72}\)

B. \(\frac{6}{12},\frac{5}{15},\frac{9}{27}\)

C. \(\frac{3}{9},\frac{4}{15},\frac{6}{18}\)

D. \(\frac{3}{9},\frac{5}{10},\frac{8}{24}\)

16- What mixed number is shown by the shaded rectangles?

A. \(3\frac{1}{2}\)

B. \(4\frac{1}{2}\)

C. 3

D. 4

17- The perimeter of a square is 24 units. Each side of this square is the same length.
What is the length of one side of the square in units?

A. 4

B. 5

C. 6

D. 7

18- There are two different cards on the table.
3 rows have 13 red cards in each row.
There are 24 white cards.
How many cards are there on the table?

A. 59

B. 63

C. 68

D. 70

19- Which of the following comparisons of fractions is true?

A. \(\frac{2}{5}=\frac{4}{10}\)

B. \(\frac{2}{5}> \frac{4}{10}\)

C.\(\frac{2}{5}< \frac{4}{10}\)

D. \(\frac{2}{5}< \frac{2}{10}\)

20- What is the value of \(A\) in the equation \(64 ÷ A = 8\)

A. 2

B. 4

C. 6

D. 8

Best 3rd Grade Math Workbook Resource for 2026

Answers:

2- D
\(18 × 40 = 720\)

3- 42
3spaghetti with meatballs cost: \(3 × $10 = $30\)
2bowls of bean soup cost: \(2 × $6 = $12\)
3spaghetti with meatballs \(+\) 2bowls of bean soup cost: \($30 + $ 12 = $42\)

4- C
\(25 × 50 = 1250\)

5- 750
We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.
We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.
If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.
Therefore, the rounded number of 745 to the nearest ten is 750.

6- C
\(1\) hour \(= 60\) minutes
\(6\) hours\( = 6 × 60\) minutes\(⇒ 6\) hours\( = 360\) minutes

7- C
\(55 × 14 = 770\)

8- A
The model for the fraction is divided into 100 equal parts. We shade 88 parts of these 100 parts that it’s equal to \(\frac{88}{100}\)

9- B
\(12 × 8 = 96\)

10- C
Subtract 109 red cards and 88 white cards. The answer is 21

11- A
\(3 × 7 \space ⎕ \space 6 = 126\)
\(21\space ⎕\space 6= 126 ⇒ 126=21×6\)

12- B
Liam gave 455 of his marbles to his friend which means his marbles decreased then he lost 116 of his marbles which means his marbles decreased again.

13- D
\(33 + B + 8 = 66 ⇒ 41+B =66 ⇒ B =66 – 41 =25\)

14- C
If he eats 6 meals in 1 day
So in a week (7 days) he eats \((7 × 6 = 42)\) meals.

15- A
All these fractions; \(\frac{3}{9},\frac{5}{15},\frac{24}{72}\) after simplification are equivalent to \(\frac{1}{3}\).

16- A
This shape shows 3 completely shaded triangles and half of a triangle that is equal to \(3\frac{1}{2}\)

17- C
Perimeter of square formula \(= 4 ×\) side \(⇒ 24 = 4 ×\) side \(⇒\) side \(= 6\)

18- B
3 rows that have 13 red cards in each row means: \(3 × 13 = 39\) red cards
And there are 24 white cards on the table too, so in total there are \(39 + 24 = 63\) cards on the table

19- A
Simplify \(\frac{4}{10}\) that’s equal to \(\frac{2}{5}\)

20- D
\(64 ÷ 8 = 8\)

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Recommended EffortlessMath Books

For a workbook your child can use alongside this practice test, the 3rd Grade PSSA Math for Beginners walks through every grade-3 topic on the test with worked examples. For full Pennsylvania state-test prep with multiple practice tests, see the 3rd Grade PSSA Math Test Prep Bundle.

Frequently Asked Questions

What is the PSSA?

The Pennsylvania System of School Assessment (PSSA) is Pennsylvania’s annual state assessment, given in math and English language arts in grades 3-8 and science in grades 4 and 8. The grade 3 math PSSA is built on PA Core Standards, which align with Common Core.

What’s on the grade 3 PSSA math?

Four reporting categories: Numbers and Operations (whole numbers, fractions), Algebraic Concepts (multiplication/division within 100, word problems), Geometry (shape attributes, partitioning), and Data Analysis and Probability (bar graphs, picture graphs, line plots).

Is a calculator allowed on the grade 3 PSSA math?

No. Pennsylvania does not permit calculators on grade 3 math. Students are expected to perform single-digit multiplication and division and operations with whole numbers and fractions by hand. Calculator use begins later in Pennsylvania’s testing policy.

How long is the grade 3 PSSA math?

About 90 to 110 minutes total, split into three sessions across two days. Each session takes 35 to 45 minutes. Students who need extended time receive it under their IEP or 504 plan.

When is the PSSA given?

The PSSA math is administered in late April through early May, over two or three days within a state-set testing window. Exact dates vary by district. Your child’s teacher will share the schedule.

How is the PSSA scored?

Pennsylvania uses 4 performance levels: Below Basic, Basic, Proficient, and Advanced. The state goal is Proficient or higher. Score reports are sent home in late summer or early fall.

What’s the hardest grade 3 PSSA math topic?

For most grade 3 students, fraction concepts on a number line, multi-step word problems involving multiplication and division, and area of irregular shapes are the three biggest challenges. Building multiplication fact fluency is also key.

How long should we study for the grade 3 PSSA math?

For most grade 3 students, 4 to 6 weeks of consistent practice at 10 to 20 minutes per day is plenty. Keep sessions short — third-graders fade fast. Start with this practice test as a diagnostic and drill the weakest area first.

Does the PSSA include open-ended math questions?

Yes. The grade 3 PSSA math includes open-ended items that ask students to show work and explain thinking. These are scored by trained scorers using a rubric. Partial credit is awarded for partial answers.

Where can I find more grade 3 PSSA math practice?

EffortlessMath has the 3rd Grade PSSA Math for Beginners workbook covering every grade-3 PA Core standard and the 3rd Grade PSSA Math Test Prep Bundle with multiple full-length practice tests and answer explanations.

Related EffortlessMath Lessons

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

• How to multiply within 100
• How to divide fractions
• Order of operations (PEMDAS)
• How to find the area of a triangle
• How to find perimeter