Full-Length 7th Grade PSSA Math Practice Test

Full-Length 7th Grade PSSA Math Practice Test

Taking a Full-length 7th Grade PSSA Math practice test is the best way to help you get familiar with the test format and feel more confident. Not only will this help you measure your exam readiness and solidify the concepts you’ve learned, but it is the best way to simulate test day.
To help you get the best out of this complete and realistic 7th Grade PSSA Math practice test and prepare your mind and body for the actual test, we recommend that you treat this practice test as a real test. Prepare scratch papers, a pencil, a timer, and a calculator and take the test in one sitting and follow the time limits to the minute.
Take the following full-length 7th Grade PSSA Math practice test to simulate the test day experience. After you’ve finished, score your tests using the answer keys.
Good luck!

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Time to refine your Math skill with a practice test

Take a REAL 7th Grade PSSA Mathematics test to simulate the test day experience. After you’ve finished, score your test using the answer key.

Before You Start

  • You’ll need a pencil, a calculator, and a timer to take the test.
  • It’s okay to guess. You won’t lose any points if you’re wrong. So be sure to answer every question.
  • After you’ve finished the test, review the answer key to see where you went wrong.
  • Calculators are permitted for the 7th Grade PSSA Math Test.
  • Use the answer sheet provided to record your answers.
  • The 7th Grade PSSA Mathematics test contains a formula sheet, which displays formulas relating to geometric measurement and certain algebra concepts. Formulas are provided to test-takers so that they may focus on the application, rather than the memorization, of formulas.
  • For each multiple-choice question, there are five possible answers. Choose which one is best.

Good Luck!

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7th Grade PSSA Math Practice Test

  • 20 questions
  • Calculators are permitted for this practice test

1- The score of Emma was one and a half times as that of Ava and the score of Mia was triple that of Ava. If the score of Mia was 90, what is the score of Emma?

A. 25

B. 35

C. 45

D. 55

2- The following trapezoids are similar. What is the value of \(x\)?

A. 2

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

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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