7th Grade PSSA Math FREE Sample Practice Questions

If your student has studied the material well for the 7th Grade PSSA Math test, now is the time to focus more on practicing. The more students practice, the more material they will review. You can use the 7th Grade PSSA Math free sample questions to practice more for your 7th Grade student. In this article, our experts have prepared the most valuable practice questions for the 7th Grade PSSA Math test.

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Start preparing your 7th-grade student for the 2026 PSSA 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.

10 Sample 7th Grade PSSA Math Practice Questions

1- A chemical solution contains \(4\%\) alcohol. If there is 24 ml of alcohol, what is the volume of the solution?

A. 240 ml

B. 480 ml

C. 600 ml

D. 1200 ml

2- The price of a laptop is decreased by \(10\%\) to $360. What is its original price?

A. 320

B. 380

C. 400

D. 450

3- What is the median of these numbers? \(4, 9, 13, 8, 15, 18, 5\)

A. 8

B. 9

C. 13

D. 15

4- Three times the price of a laptop is equal to five times the price of a computer. If the price of the laptop is $200 more than a computer, what is the price of the computer?

A. 300

B. 500

C. 800

D. 1500

5- What is the perimeter of a square that has an area of 595.36 feet?

6- Jason is 9 miles ahead of Joe, running at 5.5 miles per hour, and Joe is running at the speed of 7 miles per hour. How long does it take Joe to catch Jason?

A. 3 hours

B. 4 hours

C. 6 hours

D. 8 hours

7- 55 students took an exam, and 11 of them failed. What percent of the students passed the exam?

A. \(20 \%\)

B. \(40 \%\)

C. \(60 \%\)

D. \(80 \%\)

8- Jason needs an \(75\%\) average in his writing class to pass. On his first 4 exams, he earned scores of \(68\%, 72\%, 85\%,\) and \(90\%\). What is the minimum score Jason can earn on his fifth and final test to pass?

9- A bank is offering \(3.5\%\) simple interest on a savings account. If you deposit $12,000, how much interest will you earn in two years?

A. $420

B. $840

C. $4200

D. $8400

10- 5 less than twice a positive integer is 83. What is the integer?

A. 39

B. 41

C. 42

D. 44

Best 7th Grade PSSA Math Workbook Resource for 2026

Answers:

2- C
Let \(x\) be the original price.
If the price of a laptop is decreased by \(10\%\) to $360, then:
\(90 \%\)of \(x=360 ⇒ 0.90x=360 ⇒ x=360÷0.90=400\)

3- B
Write the numbers in order:
\(4, 5, 8, 9, 13, 15, 18\)
Since we have 7 numbers (7 is odd), then the median is the number in the middle, which is 9.

4- A
Let L be the price of laptop and C be the price of computer.
\(3\)(L) \(=5\)(C) \(\space\) and \(\space\) L \(= $200 +\) C
Therefore, \(3($200 +\) C\()=5\)C \(⇒ $600 + 3\)C \(= 5\)C \(⇒\) C\(=$300\)

5- 97.6
Use the area of square formula.
\(S = a^2 ⇒ 595.36 = a^2 ⇒ a = 24.4\)
Use the perimeter of a square formula.
\(P = 4a ⇒ P=4(24.4) ⇒ P = 97.6\)

6- C
The distance between Jason and Joe is 9 miles. Jason is running at 5.5 miles per hour, and Joe is running at the speed of 7 miles per hour. Therefore, every hour, the distance is 1.5 miles less.
\(9 ÷ 1.5 = 6\)

7- D
The failing rate is 11 out of \(55 = \frac{11}{55}\).
Change the fraction to a percent:
\(\frac{11}{55} ×100\%=20\%\)
20 percent of students failed. Therefore, 80 percent of students passed the exam.

8- 60
Jason needs an \(75\%\) average to pass for five exams. Therefore, the sum of 5 exams must be at lease \(5 × 75 = 375\)
The sum of 4 exams is:
\(68 + 72 + 85 + 90 = 315\)
The minimum score Jason can earn on his fifth and final test to pass is:
\(375 – 315 = 60\)

9- B
Use the simple interest formula:
I=prt
(I = interest, p = principal, r = rate, t = time)
I\(=(12000)(0.035)(2)=840\)

10- D
Let \(x\) be the integer. Then:
\(2x – 5 = 83\)
Add 5 both sides: \(2x = 88\)
Divide both sides by \(2: x = 44\)

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Frequently Asked Questions

What is the PSSA test?

The Pennsylvania System of School Assessment (PSSA) is Pennsylvania’s annual state test for grades 3-8 in math, ELA, and (in select grades) science. The math portion aligns to the Pennsylvania Core Standards.

Which math topics show up most on the 7th grade PSSA?

Proportional relationships (constant of proportionality, percent applications), all four operations on rational numbers, two-step equations and inequalities, circle geometry, scale drawings, volume of prisms, basic probability.

How long is the test?

Total math testing is about 90-120 minutes, split across two sessions. First session is calculator-prohibited; later sessions allow the on-screen calculator.

Are calculators allowed?

On part of the test only. The opening section is non-calculator; later sessions allow the embedded online basic scientific calculator.

What are the PSSA performance levels?

Four levels: Below Basic, Basic, Proficient, and Advanced. Proficient and Advanced indicate the student is on grade level.

How are constructed-response items scored?

On a rubric of partial credit, typically 0-2 or 0-3 points. Students earn points for correct setup, correct work, and correct final answer. Always show every step.

How is the constant of proportionality tested?

Most often as a one-step calculation. You see a table or graph and find k such that y = kx by computing y/x for any matched pair.

How do I solve a two-step equation?

Undo operations in reverse order. For 5x – 3 = 17: add 3 (5x = 20), then divide by 5 (x = 4). Always check by substituting back.

How is probability tested at 7th grade?

Mostly with simple sample spaces (dice, coins, marbles, spinners) and small compound events. Students should know P = favorable/total and that probability lies between 0 and 1.

How should we prepare?

Take one full-length practice test in realistic conditions. Review every wrong answer with the underlying concept named, and target the 2-3 weakest topics with focused practice.

Related Lessons You May Like

• How to add and subtract integers
• How to solve proportional ratios
• How to solve percent of change
• How to solve one-step equations
• How to solve multi-step word problems

If you want a workbook that pairs with these questions, Mastering Grade 7 Math covers every Grade 7 standard. For more word-problem practice, Mastering Grade 7 Math Word Problems is a great companion.