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.
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?
A. 27 inches
B. 31 inches
C. 43 inches
D. 192 inches
4- The figure below shows a diagram of a reading room.
A. 6 ft
B. 12 ft
C. 20 ft
D. 50 ft
5- Which triangle has one obtuse angle?
A.
B.
C.
D.
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?
A. 64
B. 84
C. 90
D. 96
10- What is the perimeter of this shape?
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.
B.
C.
D.
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?
19- To what number is the arrow pointing?
A. 26
B. 28
C. 30
D. 33
20- What mixed number is shown by the shaded rectangles?
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
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
What grades take the PSSA?
Pennsylvania students take the PSSA in English language arts and math in grades 3 through 8, and in science in grades 4 and 8. That means 4th graders sit for both math and science. The math test follows the Pennsylvania Core Standards, with a big focus on multi-digit operations, fractions and measurement.
What is a good PSSA score?
A good PSSA score is one at the Proficient or Advanced level. Results fall into four levels: Below Basic, Basic, Proficient and Advanced, and Proficient means your child meets Pennsylvania’s grade-level expectations. The scaled score needed for each level differs by grade and subject, so check the cut scores on your child’s report or the Pennsylvania Department of Education site.
What are PSSA scores used for?
PSSA scores show how well students are mastering the Pennsylvania Core Standards, and schools use them to spot strengths and gaps and to plan instruction. The state also uses them to measure school performance. For your 4th grader, the report shows math results by category, so you can see whether fractions, measurement or operations need more practice next year.
How do I find my child’s PSSA scores?
Your child’s school or district shares the PSSA Individual Student Report, on paper or through the district’s online parent portal, after the state releases results. If you have not received it, contact the school office or principal. The report lists the scaled score, the performance level and how your child did in each math reporting category.
Where can I find the PSSA grade 4 math item sampler?
The Pennsylvania Department of Education posts free PSSA item samplers for each grade on its website. The grade 4 math sampler includes sample multiple-choice and open-ended questions with answer keys and scoring guidelines. Work through it with your child, especially the open-ended items, so they learn to show every step and explain their thinking.
Is there a PSSA math formula sheet for grade 4?
Pennsylvania posts its PSSA math formula sheets alongside the item samplers on the Department of Education site. Look at the grade 4 sheet with your child before test day so they know which formulas they can look up and which facts, like 1 yard = 3 feet or the perimeter of a rectangle, they should know by heart.
Related EffortlessMath Lessons
If a topic on this page feels rusty, these short lessons go deeper:
- How to find equivalent fractions
- How to multiply multi-digit numbers
- How to find area and perimeter of rectangles
- Place value through 1,000,000
- How to add and subtract fractions with like denominators
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