FREE 4th Grade PSSA Math Practice Test

FREE 4th Grade PSSA Math Practice Test

TL;DR: If your 4th grader is taking Pennsylvania’s PSSA this spring, the math section runs about 50 to 55 questions across three sessions, with no calculator. Try this free 20-question practice set first as a calmer rehearsal. Have your child work it untimed, then sit together for the review. The weak spots will surface quickly, and you’ll still have time to firm them up before the real test arrives.

Key takeaways:

  • This practice set has 20 questions modeled on the real PSSA Grade 4 math test.
  • Real PSSA Grade 4 math: about 50-55 questions across 3 sessions.
  • Calculators are NOT allowed on the Grade 4 PSSA.
  • 4 performance levels: Below Basic, Basic, Proficient, Advanced – target Proficient (~1235).
  • Test is given on paper in most schools, with some online administration.
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For this practice test, we’ve selected 20 real questions from past exams for your student’s 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.

10 Sample 4th Grade PSSA Math Practice Questions

1- Nicole has 6 quarters, 9 dimes, and 11 pennies. How much money does Jamie have?

A. 150 pennies

B. 240 pennies

C. 251 pennies

D. 281 pennies

2- Jeb paid $72 for a magazine subscription. If he is paying $4 for each issue of the magazine, how many issues of the magazine will he receive?

A. 18

B. 20

C. 22

D. 24

3- What is the perimeter of the triangle?

Triangle (sides 12, 15, 16 in) 16 in 12 in 15 in

A. 27 inches

B. 31 inches

C. 43 inches

D. 192 inches

4- The figure below shows a diagram of a reading room.

Reading room length = 10 ft width = ? Reading room

A. 6 ft

B. 12 ft

C. 20 ft

D. 50 ft

5- Which triangle has one obtuse angle?

A.

Acute triangle

B.

C.

Right triangle

D.

Acute (isoceles) triangle

6- A building is 36 feet high. What is the height of the building in yards?

A. 1 yard

B. 3 yard

C. 12 yard

D. 108 yard

7- The sum of A and B equals 35. If A \(= 16\), which equation can be used to find the value of B?

A. \(B – 16 = 35\)

B. \(B + 16 = 35\)

C. \(A + 16 = 35\)

D. \(A – 16 = 35\)

8- Which number is represented by \(A\)?
\(9 × A = 108\)

A. 9

B. 10

C. 11

D. 12

9- A straight line measures 180\(^\circ\). A straight line and a triangle are touching as shown in the figure below.
What is the value of A in the figure?

Triangle with labeled angles 80° 16°

A. 64

B. 84

C. 90

D. 96

10- What is the perimeter of this shape?

Trapezoid (sides [2, 6, 2, 8]) 2 6 2 8

A. 14

B. 48

C. 18

D. 16

11- The temperature on Sunday at 12:00 PM was 76\(^\circ\)F. Low temperature on the same day was 24\(^\circ\)F cooler. Which temperature is closest to the low temperature on that day?

A. 76\(^\circ\)F

B. 52\(^\circ\)F

C. 51\(^\circ\)F

D. 75\(^\circ\)F

12- The number 47.06 can be expressed as _________

A. \((4 × 10) + (7 × 1) + (6 × 0.01)\)

B. \((4 × 10) + (7 × 1) + (6 × 0.1)\)

C. \((4 × 1) + (7 × 1) + (0 × 1) + (6 × 1)\)

D. \((4 × 10) + (7 × 1) + (0 × 10) + (6 × 100)\)

13- There are 365 days in a year, and 24 hours in a day. How many hours are in a year?

A. 2190

B. 7440

C. 7679

D. 8760

14- On Saturday Lily was a referee at 3 soccer games. She arrived at the soccer field 15 minutes before the first game. Each game lasted for \(\frac{11}{2}\) hours. There were 5 minutes between each game. Lily left 10 minutes after the last game. How long, in minutes, was Lily at the soccer field?

A. 300 minutes

B. 305 minutes

C. 480 minutes

D. 485 minutes

15- Which shape shows a line of symmetry?

A.

Isoceles triangle with vertical line of symmetry

B.

Scalene triangle (no line of symmetry)

C.

Letter P (no line of symmetry)

D.

Irregular quadrilateral (no line of symmetry)

16- Which fraction has the least value?

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

B. \(\frac{3}{8}\)

C. \(\frac{3}{4}\)

D. \(\frac{9}{16}\)

17- Lisa has 336 pastilles. She wants to put them in boxes of 12 pastilles. How many boxes does he need?

A. 20

B. 22

C. 24

D. 28

18- What is the volume of the cube?

Cube (edge = 4) 4

19- To what number is the arrow pointing?

Number line with arrow 2025303540

A. 26

B. 28

C. 30

D. 33

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

3 and 1/2

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

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

C. 3

D. 4

Best 4th Grade PSSA Math Prep Resource for 2026

Answers:

1- C
\(6\) quarters \(= 6 × 25\) pennies \(=150\) pennies
\(9\) dimes \(= 9 ×10 \)pennies \(= 90\) pennies
In total Nicole has 251 pennies

2- A
\(1\) issue\(= $4\)
How many issue? \(= $72\)
\($72 ÷ $4= 18\) issue

3- C
Use perimeter of triangle formula.
\(P = a + b + c\)
\(P = 12 + 15 + 16 = 43\) inches

4- C
Use perimeter of rectangle formula.
\(P = 2(L + W)\)
\(60 = 2(10+W) ⇒ 2W = 40 ⇒ W = 20 \)feet

5- B
An obtuse triangle is one with one obtuse angle (greater than 90\(^\circ\)) and two acute angles. Since a triangle’s angles must sum to 180\(^\circ\), no triangle can have more than one obtuse angle.

6- C
\(1\) foot \(= 0.333 \)yard
So \(36\) foot \(= 12\) yards \((36 × 0.33)\)

7- B
The sum of \(A\) and \(B\) equals \(35: A + B = 35\), if \(A = 16\) we have \(16 +B = 35\)

8- D
\(A = 108 ÷ 9 = 12\)

9- B
Sum of these three angle are 180\(^\circ\).
\(A^\circ + 80^\circ + 16^\circ = 180^\circ\)
\(A^\circ =180^\circ – 96^\circ = 84^\circ\)

10- C
Use perimeter of trapezoid formula.
\(P = a + b + c + d\)
\(P = 2+ 6 + 2+ 8 =18\)

11- B
Low temperature is 24\(^\circ\)f cooler than the temperature at 12:00 PM that is 76of, that means low temperature is 52\(^\circ\)f (76\(^\circ\)f \(-\) 24\(^\circ\)f) that is close to choice B

12- A
\((4 × 10) + (7 × 1) + (6 × 0.01) = 40 + 7 + 0.06 = 47.06\)

13- D
1 year \(=\) 365 days, 1 day \(=\) 24 hours
1 year \(=\) 365 × 24
1 year \(=\) 8,760

14- B
Each game = \(\frac{11}{2}\) hours = 90 minutes so 3 games = \(\frac{41}{2}\) hours = 270 minutes
5minutes between each game, so there is 10 minutes in total between 3 games.
She arrives 15 minutes before first game and left 10 minutes after the last game.
In total she was \(270+10+15+10 =305\) minutes at the soccer field.

15- A
You can find if a shape has a Line of Symmetry by folding it. When the folded part sits perfectly on top (all edges matching), then the fold line is a Line of Symmetry. Here the first shape shows a line of symmetry.

16- B
Find the least common denominator (LCD), then rewriting each term as an equivalent fraction with the LCD. Then we compare the numerators of each fraction and put them in correct order from least to greatest or greatest to least.
LCD of 2, 8, 4 and 16 is 16. Rewrite the input fractions as equivalent fractions using the LCD:
A. \(\frac{8}{16}\)
B. \(\frac{6}{16}\)
C. \(\frac{12}{16}\)
D. \(\frac{9}{16}\)
So choice B has the least value.

17- D
12 pastilles\(=\) 1 box
336 pastilles\(=\) (\(336 ÷12 = 28\)) boxes

18- 64

Use volume of cube formula:
V\(=a^3\)
V\(=4^3 =64\)

19- C
Arrow shows exactly the middle of two numbers 25 and 35, so the answer is 30

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

Looking for the best resource to help you succeed on the 4th Grade PSSA Math test?

The Best Books to Ace the 4th Grade PSSA Math Test

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Recommended EffortlessMath Books

For more structured prep alongside this practice test, the Common Core Mathematics Workbook for Grade 4 covers every Pennsylvania Core Standard topic with step-by-step worked examples. For multiple timed full-length practice tests, see the Grade 4 Math Practice Tests bundle.

Frequently Asked Questions

How many questions are on the 4th Grade PSSA math test?

The real PSSA Grade 4 math has about 50-55 questions split across 3 sessions, each running 50-65 minutes. Item types include multiple choice (about 40 items), short-answer (about 8 items), and a few open-ended problems where your child shows work for partial credit.

Is a calculator allowed on the 4th Grade PSSA?

No. Calculators are not allowed on the Grade 4 PSSA math test. Pennsylvania permits calculator use starting in grade 6 on the calculator-allowed sections. Your fourth grader needs to be solid on multi-digit arithmetic and fraction operations by hand.

What’s a passing score on the 4th Grade PSSA?

PSSA reports 4 performance levels: Below Basic, Basic, Proficient, and Advanced. “Proficient” is Pennsylvania’s grade-level expectation. The Grade 4 math scale score for Proficient is approximately 1235; Advanced starts near 1375.

When is the PSSA given?

The Grade 4 PSSA math is given in late April or early May each year. Pennsylvania sets the testing window, and your child’s district picks the exact days within it. Schools usually announce the schedule a few weeks ahead.

How is the PSSA Grade 4 math scored?

Multiple-choice items get 1 point each (auto-scored). Short-answer items get 0-2 points. Open-ended items get 0-4 points based on a rubric, scored by trained readers. All points combine into a single scale score (around 1000-1500 at grade 4) and one of 4 performance levels.

Can my child retake the PSSA?

The Grade 4 PSSA is given once per year with no in-year retake. If your child scores Below Basic or Basic, the school may schedule extra support during the next school year, and your child takes a fresh PSSA in grade 5.

What math topics are on the 4th Grade PSSA?

Pennsylvania Core Standards for Grade 4 math cover: numbers and operations in base ten (place value through 1,000,000, multi-digit operations), numbers and operations – fractions (equivalent fractions, fraction operations, decimals), operations and algebraic thinking, measurement and data, and geometry (lines, angles, symmetry, classification of shapes).

How long should we study for the 4th Grade PSSA?

For most kids, 6-8 weeks of light practice (15-20 minutes a day, 4 days a week) works well. Start with a diagnostic, focus on the weakest 2-3 topics first, then build to full timed practice in the final 2 weeks. Practice the open-ended format because kids often skip showing their work.

Where can I find more 4th Grade PSSA practice?

EffortlessMath has free lessons for every Grade 4 Common Core math topic the PSSA tests, plus the Common Core Mathematics Workbook for Grade 4 and a grade-4 practice test bundle. The related lessons below cover the PSSA’s highest-frequency topics.

Is the PSSA aligned with Common Core?

Pennsylvania Core Standards are based on Common Core with state-specific adjustments (about 90% overlap at grade 4). Common Core Grade 4 math materials work very well as PSSA prep with minor wording differences.

Related EffortlessMath Lessons

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

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PSSA Mathematics Workbook For Grade 4: Step-By-Step Guide to Preparing for the PSSA Math Test 2019