Full-Length 7th Grade PSSA Math Practice Test

B. 4

C. 6

D. 8

3- If \(40\%\) of a class are girls, and \(25\%\) of girls play tennis, what fraction of the class play tennis?

A. 18

B. 110

C. 120

D. 125

4- A boat sails 30 miles south and then 40 miles east. How far is the boat from its start point?

A. 30 miles

B. 40 miles

C. 50 miles

D. 60 miles

5- You can buy 12 cans of green beans at a supermarket for $7.40. How much does it cost to buy 30 cans of green beans?

A. $18.50

B. $24.20

C. $26.00

D. $34.00

6- What is the volume of the following square pyramid?

A. \(460 \space m^3\)

B. \(520 \space m^3\)

C. \(750 \space m^3\)

D. \(960 \space m^3\)

7- In a party, 6 soft drinks are required for every 8 guests. If there are 240 guests, how many soft drinks are required?

A. 38

B. 146

C. 180

D. 200

8- From last year, the price of gasoline has increased from $1.4 per gallon to $1.75 per gallon. The new price is what percent of the original price?

A. \(20\%\)

B. \(25\%\)

C. \(30\%\)

D. \(35\%\)

9- \([8×(-14)+15]-(10)+[4×6]÷3=\)?

10- Simplify \(5x^2 y(2xy^3)^4=\)

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A. \(40x^3 y^{12}\)

B. \(16x^5 y^{24}\)

C. \(40x^6 y^{12}\)

D. \(80x^6 y^{13}\)

11- Jason is 14 miles ahead of Joe running at 6 miles per hour and Joe is running at the speed of 8 miles per hour. How long does it take Joe to catch Jason?

A. 3 hours

B. 5 hours

C. 7 hours

D. 9 hours

12- 9 less than five times a positive integer is 101. What is the integer?

A. 22

B. 36

C. 32

D.  44

13- Last week 18,000 fans. This week 2.5 times as many bought tickets, but one-fifth of them canceled their tickets. How many are attending this week?

A. 20,000

B. 22,000

C. 32,000

D. 36,000

14- What is the median of these numbers? \(25,12,13,18,22,36,22\)

A. 12

B. 20

C. 22

D. 26

15- Sophia purchased a sofa for $615.00. The sofa is regularly priced at $820. What was the percent discount Sophia received on the sofa?

A. \(8\%\)

B. \(12\%\)

C. \(18\%\)

D. \(25\%\)

16- Robert is preparing to run a marathon. He runs \(4 \frac{1}{3}\) miles on Saturday and two times that many on Monday and Wednesday. Robert wants to run a total of 35 miles this week. How many more miles does he need to run?

17- What is the area of the shaded region?

A. \(10π \space cm^2\)

B. \(20π \space cm^2\)

C. \(25π \space cm^2\)

D. \(30π \space cm^2\)

18- Right triangle ABC has two shorter legs of lengths 12 cm (AB) and 5 cm (AC). What is the length of the third side (BC)?

A. 13 cm

B. 14 cm

C. 15 cm

D. 16 cm

19- Four times the price of a laptop is equal to seven times the price of a computer. If the price of the laptop is $240 more than a computer, what is the price of the computer?

A. $320

B. $400

C. $420

D. $960

20- Jason needs an \(75\%\) average in his writing class to pass. On his first 4 exams, he earned scores of \(62\%\), \(73\%\), \(82\%\), and \(88\%\). What is the minimum score Jason can earn on his fifth and final test to pass?

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Answers and Explanations

How to use Full-Length 7th Grade PSSA Math Practice Test as real practice

Full-Length 7th Grade PSSA Math Practice Test works best when it is used as a short, focused study session rather than a quick click-through activity. The goal is not simply to finish the questions. The goal is to notice which skills feel automatic, which skills still need review, and which mistakes happen when you rush.

Start with a clean piece of scratch paper. For each item, answer the questions under realistic conditions, then review every missed problem before retaking a similar set. If you get something wrong, do not immediately move on. Write the correct step, circle the part that caused the mistake, and try one similar item before continuing. That small correction habit is what turns an online practice test into lasting math improvement.

A three-round study routine

This routine is simple, but it solves a common problem: students often practice only until an answer looks familiar. Real readiness means you can solve a fresh problem without hints, explain the first step, and check whether the final answer is reasonable.

What to write down while you practice

Keep a tiny mistake log next to the activity. You only need three columns: the topic, the mistake, and the correction. For example, a student might write “fractions,” “forgot common denominator,” and “rewrite both fractions before adding.” A log like that is more useful than a long list of scores because it tells you exactly what to review next.

• If the mistake is a fact or formula, review it before the next round.
• If the mistake is a setup error, copy one worked example and label each step.
• If the mistake is from rushing, slow down and require written work for the next five items.
• If the same mistake appears twice, stop and review that topic before continuing.

When you are ready to move on

You are ready for the next topic when you can get several items correct in a row and explain why the method works. A score by itself is helpful, but it is not the whole story. You should also be able to describe the rule, formula, or pattern that the activity is testing.

For test preparation, come back to Full-Length 7th Grade PSSA Math Practice Test after a day or two and try a fresh round. If the skill still feels easy after a short break, it is much more likely to stay with you during a quiz, unit test, or standardized test. If it feels shaky, that is useful information too: it tells you exactly where to spend your next study session.

Study tips for parents and teachers

When using this page with a student, ask for the reasoning before the answer. Questions such as “What is the first step?”, “Why did you choose that operation?”, and “How can you check it?” help students build mathematical language. That matters because many test questions measure more than calculation; they also measure whether the student can read the problem, choose a method, and explain a result.

Short sessions are usually best. Ten to fifteen minutes of careful practice can be more productive than a long session full of guessing. End by naming one skill that improved and one skill to review next time. That keeps practice positive, specific, and easy to continue.