# Full-Length 6th Grade PSSA Math Practice Test

Taking a Full-length 6th 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 6th 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 6th Grade PSSA Math practice test to simulate the test day experience. After you’ve finished, score your tests using the answer keys.**Good luck!**

**The Absolute Best Book to Ace the 6th Grade** **PSSA Math** **Test**

**Time to refine your Math skill with a practice test**

Take a REAL 6th 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 6th Grade****PSSA Math Test.**- Use the answer sheet provided to record your answers.
- The 6th 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!**

**Best 6th Grade PSSA Math Prep Resource for 2022**

## 6th Grade PSSA Math Practice Test

**20 questions****Calculators are permitted for this practice test**

1- What is the value of the expression \(5(4x-3y)-7(y)^2\), when \(x=2\) and \(y=-3\) ?

A. 15

B. 22

C. 36

D. 42

2- Martin earns $18 an hour. Which of the following inequalities represents the amount of time Martin needs to work per day to earn at least $78 per day?

A. \(18-t≥78\)

B. \(18+t≤78\)

C. \(18t≥78\)

D. \(18t≤78\)

3- \((108-(3×9))÷9\) is equivalent to …

A. \((\frac{2}{5}+\frac{7}{8}) ×3\)

B. \(9^3÷81\)

C. \((5×5×5) ÷ \frac{9}{2}\)

D. \((2×2×5)÷(3×4)\)

4- The ratio of boys to girls in a school is 3 ∶ 5. If there are 240 students in the school, how many boys are in the school?

A. 60

B. 90

C. 120

D. 150

5- Anita’s trick–or–treat bag contains 9 pieces of chocolate, 15 suckers, 14 pieces of gum, 16 pieces of licorice. If she randomly pulls a piece of candy from her bag, what is the probability of her pulling out a piece of chocolate?

A. \(\frac{1}{6}\)

B. \(\frac{5}{7}\)

C. \(\frac{3}{4}\)

D. \(\frac{5}{6}\)

6- Which of the following lists shows the fractions in order from greatest to least?

\(\frac{3}{4},\frac{2}{3}, \frac{4}{5}, \frac{7}{9}\)

A. \(\frac{4}{5},\frac{7}{9},\frac{3}{4},\frac{2}{3}\)

B. \(\frac{3}{4},\frac{7}{9},\frac{4}{5},\frac{2}{3}\)

C. \(\frac{7}{9},\frac{3}{4},\frac{2}{3},\frac{4}{5}\)

D. \(\frac{2}{3},\frac{3}{4},\frac{7}{9},\frac{4}{5}\)

7- The area of a rectangular yard is 84 square meters. What is its width if its length is 14 meters?

A. 5 meters

B. 6 meters

C. 7 meters

D. 8 meters

8- Which statement about 4 multiplied by \(\frac{5}{16}\) must be true?

A. The product is greater than \(2\)

B. The product is between 1 and \(2\)

C. The product is equal to \(\frac{3}{8}\)

D. The product is equal to \(2^2\)

9- In the following rectangle, which statement is false?

A. AD is parallel to BC

B. The measure of the sum of all the angles equals \(180^\circ\).

C. Length of AB equal to length DC.

D. AB is perpendicular to AD.

10- Round \(\frac{824}{17}\) to the nearest tenth.

A. 48

B. 48.4

C. 48.5

D. 49

11- What is the missing price factor of number \(588\)?

\(588=2^2×3×…\)

12- If the area of the following trapezoid is equal to A, which equation represents \(x\)?

A. \(x=\frac{11}{A}\)

B. \(x=\frac{A}{11}\)

C. \(x=A-11\)

D. \(x=A+11\)

13- By what factor did the number below change from the first to the fourth number?

\(8 ,72, 648, 5832\)

A. 6

B. 9

C. 12

D. 16

14- 234 is equal to …

A. \(13-(3×6)+(7×(-6))\)

B. \((\frac{25}{400})+(\frac{7}{50})\)

C. \(((22×\frac{30}{6})-(7×\frac{144}{12}))×\frac{18}{2}\)

D. \(\frac{6}{24}+\frac{12}{36}-50\)

15- A car costing $240 is discounted \(16\%\). Which of the following expressions can be used to find the selling price of the car?

A. \((450)(0.16)\)

B. \(450-(450×0.84)\)

C. \((450)(0.16)\)

D. \(450-(450×0.16)\)

16- Mr. Jones saves $1,400 out of his monthly family income of $11,900. What fractional part of his income does Mr. Jones save?

A. \(\frac{2}{17}\)

B. \(\frac{5}{17}\)

C. \(\frac{7}{17}\)

D. \(\frac{9}{17}\)

17- Nicolas wrote an integer. The opposite of Nicolas’s integer is \(-25\). Which of the following statements about Nicolas’s integer must be true?

I . The integer is \(25\).

I I . The absolute value of the integer is \(-25\).

I I I . The integer is \(-25\).

I V. The absolute value of the integer is \(25\).

A. I and II

B. II and III

C. I and IV

D. III and IV

18- What is the volume of a box with the following dimensions?

Height =7 cm, Width = 4 cm, Length = 12 cm

A. \(312 \space cm^3\)

B. \(336 \space cm^3\)

C. \(362 \space cm^3\)

D. \(395 \space cm^3\)

19- The distance between the two cities is 33,759 feet. What is the distance between the two cities in yards?

A. 9,570 yd

B. 10,920 yd

C. 11,253 yd

D. 13,617 yd

20- A chemical solution contains \(16\%\) alcohol. If there are \(38 ml\) of alcohol, what is the volume of the solution?

A. 195 ml

B. 237.5 ml

C. 369 ml

D. 452.5 ml

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