Full-Length 7th Grade PSSA Math Practice Test-Answers and Explanations

Full-Length 7th Grade PSSA Math Practice Test-Answers and Explanations

Did you take the 7th Grade PSSA Math Practice Test? If so, then it’s time to review your results to see where you went wrong and what areas you need to improve.

7th Grade PSSA Math Practice Test Answers and Explanations

1- Choice C is correct.
If the score of Mia was 90, then the score of Ava is 30. Since, the score of Emma was one and a half as that of Ava, therefore, the score of Emma is 1.5 × 30 = 45.

2- Choice A is correct
Write the ratio and solve for \(x\).
\( \frac{60}{50}=\frac{5x+2}{10}⇒ 12=5x+2 ⇒12-2=5x⇒ x=\frac{10}{5}=2\)

3- Choice B is correct
Let \(x\) be the number of students in the class. \(40\%\) of \(x\) = girls, \(25\%\) of girls = tennis player,
Find \(25\%\) of \(40\%\). Then: \(25\%\) of \(40\%=0.25×0.40=0.1=10\%\) or \(\frac{10}{100}=\frac{1}{10}\)

4- Choice C is correct
Use the information provided in the question to draw the shape.
Use Pythagorean Theorem: \(a^2+b^2=c^2\)


\(30^2+40^2=c^2⇒ 900+1600= c^2⇒2500= c^2⇒c=50\)

5- Choice A is correct
Write a proportion and solve for \(x\).
\( \frac{12 \space Cans}{$ 7.40}=\frac{30 \space Cans}{x }, x= \frac{7.40×30}{12} ⇒x=$18.5\)

The Absolute Best Book to Ace the 7th Grade PSSA Math Test

6- Choice D is correct
Use the volume of square pyramid formula.
\(V= \frac{1}{3} a^2 h ⇒V=\frac{1}{3} (12 \space m)^2×20 \space m ⇒ V=960 \space m^3\)

7- Choice C is correct
Let \(x\) be the number of soft drinks for 240 guests. Write a proportional ratio to find \(x\). \(\frac{6 \space soft \space drinks}{8 \space guests}=\frac{x}{240 \space guests}, x=\frac{240×6}{8}⇒x=180\)

8- Choice B is correct
Use the formula for Percent of Change: \(\frac{New \space Value-Old \space Value}{Old \space Value}×100\%, \frac{1.75-1.4}{1.4}×100\%=25\%\)

9- The answer is: \(-99\)
Use PEMDAS (order of operation):
\([8×(-14)+15]-(10)+[4×6]÷3=[-122+15]-(10)+8=-97-10+8=-99\)

10- Choice D is correct
Simplify. \(5x^2 y(2xy^3)^4=5x^2 y(16x^4 y^{12} )=80x^6 y^{13}\)

Best 7th Grade PSSA Math Prep Resource for 2021

11- Choice C is correct
The distance between Jason and Joe is 14 miles. Jason running at 6 miles per hour and Joe is running at the speed of 8 miles per hour. Therefore, every hour the distance is 2 miles less.
14 ÷ 2 = 7

12- Choice A is correct.
Let x be the integer. Then: \(5x-9=101\), Add 9 both sides: \(5x=110\), Divide both sides by 5: \(x=22\)

13- Choice D is correct
Two and half times of 18,000 is 45,000. One fifth of them cancelled their tickets.
One sixth of \(45,000\) equals \(9,000(\frac{1}{5} × 45000=9000)\).
\(36,000(45000-9000=36000)\) fans are attending this week

14- Choice C is correct
Write the numbers in order: \(25,12,13,18,22,36,22\)
Since we have 7 numbers (7 is odd), then the median is the number in the middle, which is 22.

15- Choice D is correct.
The question is: 615 is what percent of 820?
Use percent formula: \(part=\frac{percent}{100}×whole\)
\(615=\frac{percent}{100}×820 ⇒ 615=\frac{percent ×820}{100}⇒61,500=percent×820\) ⇒
\(percent=\frac{61,500}{820}=75\), \(615\) is \(75\%\) of \(820\). Therefore, the discount is: \(100\%-75\%=25\%\)

16- The answer is \(22 \frac{1}{3}\) miles.
Robert runs \(4 \frac{1}{3}\) miles on Saturday and \(2(4 \frac{1}{3})\) miles on Monday and Wednesday.
Robert wants to run a total of 35 miles this week. Therefore, subtract 4 \(\frac{1}{3}+2(4 \frac{1}{3})\) from 35.
\(35-(4 \frac{1}{3}+2(4 \frac{1}{3} ))=35-12 \frac{2}{3}=22 \frac{1}{3}\) miles

17- Choice B is correct
To find the area of the shaded region, find the difference of the area of two circles. \(S_1\): the area of bigger circle. \(S_2\): the area of the smaller circle). Use the area of circle formula. \(S=πr^2\)
\(S_1- S_2=π(6 \space cm)^2- π(4 \space cm)^2⇒S_1- S_2=36π \space cm^2-16π \space cm^2 ⇒ S_1- S_2 =20π \space cm^2\)

18- Choice A is correct
Use Pythagorean Theorem: \(a^2+b^2=c^2\),
\(12^2+5^2=c^2⇒ 144+25= c^2 ⇒ c^2=169 ⇒c=13\)

19- Choice A is correct
Let L be the price of laptop and C be the price of computer. 4(L) =7(C) and L = $240 + C
Therefore, 4($240 + C) =7C ⇒ $960 + 4C = 7C ⇒ C=$320

20- The answer is 70.
Jason needs an \(75\%\) average to pass for five exams. Therefore, the sum of 5 exams must be at least \(5×75=375\), The sum of 4 exams is: \(62+73+82+88=305\).
The minimum score Jason can earn on his fifth and final test to pass is:
\( 375-305=70\)

The Best Books to Ace the 7th Grade PSSA Math Test

Related to "Full-Length 7th Grade PSSA Math Practice Test-Answers and Explanations"

SAT Math vs. ACT Math: the key differences
SAT Math vs. ACT Math: the key differences
Benefits of Driving Electric Cars: Is It Cheaper?
Benefits of Driving Electric Cars: Is It Cheaper?
How Much Does a Tesla Cost?
How Much Does a Tesla Cost?
7 Best Digital Pen Tablets for Online Math Teaching in 2021
7 Best Digital Pen Tablets for Online Math Teaching in 2021
Best Smartphones for Math Teachers
Best Smartphones for Math Teachers
What iѕ the Best Cаlсulаtоr fоr thе SAT оr ACT?
What iѕ the Best Cаlсulаtоr fоr thе SAT оr ACT?
Top 5 ACT Math Study Guides
Top 5 ACT Math Study Guides
Top 5 Free Websites for TExES Core Subjects Mathematics Preparation
Top 5 Free Websites for TExES Core Subjects Mathematics Preparation
Best equipment for online math teachers
Best equipment for online math teachers
Travel-Friendly Teaching Supplies for A Portable Classroom
Travel-Friendly Teaching Supplies for A Portable Classroom

Leave a Reply

How Does It Work?

Find Books

1. Find eBooks

Locate the eBook you wish to purchase by searching for the test or title.

add to cart

2. Add to Cart

Add the eBook to your cart.

checkout

3. Checkout

Complete the quick and easy checkout process.

download

4. Download

Immediately receive the download link and get the eBook in PDF format.

Why Buy eBook From Effortlessmath?

Save money

Save up to 70% compared to print

Instantly download

Instantly download and access your eBook

help environment

Help save the environment

Access

Lifetime access to your eBook

Test titles

Over 2,000 Test Prep titles available

Customers

Over 80,000 happy customers

Star

Over 10,000 reviews with an average rating of 4.5 out of 5

Support

24/7 support

Anywhere

Anytime, Anywhere Access

Find Your Test

Schools, tutoring centers, instructors, and parents can purchase Effortless Math eBooks individually or in bulk with a credit card or PayPal. Find out more…