# FREE ParaPro Math Practice Test

Welcome to our FREE ParaPro Math practice test with answers and explanations. This ParaPro practice test’s realistic format and high-quality practice questions can help you prepare for your ParaPro Math test. Not only does the practice test closely match what you will see on the real ParaPro, but it also comes with detailed answer explanations.

For this practice test, we’ve selected 20 real questions from past ParaPro Math tests to help you simulate your test day. You will have the chance to try out the most common ParaPro Math questions. For every question, there is an in-depth explanation of how to solve the problem and how to avoid mistakes next time.

Use our free ParaPro Math practice tests and study resources (updated for 2022) to ace the ParaPro Math test! 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 you need to practice.

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## 20 Sample ParaPro Math Practice Questions

1- Mr. Jones saves $2,500 out of his monthly family income of$55,000. What fractional part of his income does he save?

☐A. $$\frac{1}{22}$$

☐B. $$\frac{1}{11}$$

☐C. $$\frac{3}{25}$$

☐D. $$\frac{2}{15}$$

2- Four one – foot rulers can be split among how many users to leave each with $$\frac{1}{6}$$ of a ruler?

☐A. 4

☐B. 6

☐C. 12

☐D. 24

3- Simplify the expression.
$$(6x^3-8x^2+2x^4 )-(4x^2-2x^4+2x^3 )$$=?

☐A. $$4x^3-12x^2$$

☐B. $$4x^4+4x^3-12x^2$$

☐C. $$8x^3-12x^2$$

☐D. $$x^4+4x^3-12x^2$$

4- In two successive years, the population of a town is increased by $$15\%$$ and $$20\%$$. What percent of the population is increased after two years?

☐A. $$32\%$$

☐B. $$35\%$$

☐C. $$38\%$$

☐D. $$68\%$$

5- What is the surface area of the cylinder below?

☐A. $$48 {\pi} \space in^2$$

☐B. $$57 {\pi} \space in^2$$

☐C. $$66 {\pi} \space in^2$$

☐D. $$288 {\pi} \space in^2$$

6- A cruise line ship left Port A and traveled 80 miles due west and then 150 miles due north. At this point, what is the shortest distance from the cruise to port A in miles? ____________

7- A shirt costing $200 is discounted $$15\%$$. After a month, the shirt is discounted another $$15\%$$. Which of the following expressions can be used to find the selling price of the shirt? ☐A. $$(200) (0.70)$$ ☐B. $$(200) – 200 (0.30)$$ ☐C. $$(200) (0.15) – (200) (0.15)$$ ☐D. $$(200) (0.85) (0.85)$$ 8- Solve: $$5 + 8 \times (- 2) – [4 + 22 \times 5] \div 6 =$$? ☐A. $$-30$$ ☐B. $$-20$$ ☐C. $$-10$$ ☐D. 0 9- Which of the following points lies on the line $$x+2y=4$$? ☐A. $$(-2, 3)$$ ☐B. $$(1, 2)$$ ☐C. $$(-1, 3)$$ ☐D. $$(-3, 4)$$ 10- 5 less than twice a positive integer is 83. What is the integer? ☐A. 39 ☐B. 41 ☐C. 42 ☐D. 44 11- 11 yards 6 feet and 4 inches equal to how many inches? ☐A. 388 ☐B. 468 ☐C. 472 ☐D. 476 12- Mr. Carlo’s family is choosing a menu for their reception. They have 3 choices of appetizers, 5 choices of entrees, 4 choices of cake. How many different menu combinations are possible for them to choose from? ☐A. 12 ☐B. 32 ☐C. 60 ☐D. 120 13- The average of five consecutive numbers is 38. What is the smallest number? ☐A. 38 ☐B. 36 ☐C. 34 ☐D. 12 14- What is the difference between the smallest 4–digit number and the biggest 4–digit number? ☐A. 6666 ☐B. 6789 ☐C. 8888 ☐D. 8999 15- How many tiles of 8 $$cm^2$$ are needed to cover a floor of dimension 6 cm by 24 cm? ☐A. 6 ☐B. 12 ☐C. 18 ☐D. 24 16- A ladder leans against a wall forming a $$60^ \circ$$ angle between the ground and the ladder. If the bottom of the ladder is 30 feet away from the wall, how long is the ladder? ☐A. 30 feet ☐B. 40 feet ☐C. 50 feet ☐D. 60 feet 17- The average weight of 18 girls in a class is 60 kg and the average weight of 32 boys in the same class is 62 kg. What is the average weight of all the 50 students in that class? ☐A. 60 ☐B. 61.28 ☐C. 61.68 ☐D. 62.90 18- An angle is equal to one-fifth of its supplement. What is the measure of that angle? ☐A. 20 ☐B. 30 ☐C. 45 ☐D. 60 19- In a stadium, the ratio of home fans to visiting fans in a crowd is 5:7. Which of the following could be the total number of fans in the stadium? ☐A. 12,324 ☐B. 42,326 ☐C. 44,566 ☐D. 66,812 20- If $$40\%$$ of a class are girls, and $$25\%$$ of girls play tennis, what percent of the class play tennis? ☐A. $$10\%$$ ☐B. $$15\%$$ ☐C. $$20\%$$ ☐D. $$40\%$$ ## Best ParaPro Math Prep Resource for 2022 Original price was:$20.99.Current price is: $15.99. Satisfied 173 Students ## Answers: 1- A 2,500 out of 55,000 equals to $$\frac{2500}{55000}= \frac{25}{550}= \frac{1}{22}$$ 2- D $$4 \div \frac{1}{6} = 24$$ 3- B Simplify and combine like terms. $$(6x^3-8x^2+2x^4 )-(4x^2-2x^4+2x^3 ) {\Rightarrow} (6x^3-8x^2+2x^4 )-4x^2+2x^4-2x^3 {\Rightarrow} 4x^4+4x^3-12x^2$$ 4- C the population is increased by $$15\%$$ and $$20\%$$. $$15\%$$ increase changes the population to $$115\%$$ of the original population. For the second increase, multiply the result by $$120\%$$. $$(1.15) \times (1.20) = 1.38 = 138\%$$ 38 percent of the population is increased after two years. 5- C Surface Area of a cylinder $$= 2\pi (r + h)$$, The radius of the cylinder is $$3(6 \div 2)$$ inches and its height is 8 inches. Therefore, Surface Area of a cylinder $$= 2\pi (3) (3 + 8) = 66\pi$$ 6- 170 Use the information provided in the question to draw the shape. Use Pythagorean Theorem: $$a^2 + b^2 = c^2$$ $$80^2 + 150^2 = c^2 {\Rightarrow} 6400 + 22500 = c^2 {\Rightarrow} 28900 = c^2 {\Rightarrow} c = 170$$. 7- D To find the discount, multiply the number by $$(100\% –$$ rate of discount). Therefore, for the first discount we get: $$(200) (100\% – 15\%) = (200) (0.85) = 170$$ For the next $$15\%$$ discount: (200) (0.85) (0.85) 8- A Use PEMDAS (order of operation): $$5 + 8 \times (-2) – [4 + 22 \times 5] \div 6 = 5 + 8 \times (-2) – [4 + 110] \div 6 = 5 + 8 \times (-2) – [114] \div 6 = 5 + (-16) – 19$$ $$5 + (-16) – 19 = -11 – 19 = -30$$ 9- A $$x+2y=4$$. Plugin the values of $$x$$ and $$y$$ from the choices provided. Then: A. $$(-2,3) x+2y=4(\rightarrow )-2+2(3)=4(\rightarrow )-2+6=4$$ This is true! B. $$(1,2) x+2y=4(\rightarrow )1+2(2)=4(\rightarrow )1+4=4$$ (This is NOT true!) C. $$(-1,3) x+2y=4(\rightarrow )-1+2(3)=4(\rightarrow )-1+6=4$$ (This is NOT true!) D.$$(-3,4) x+2y=4(\rightarrow )-3+2(4)=4(\rightarrow )-3+8=4$$(This is NOT true!) 10- D Let $$x$$ be the integer. Then: $$2x – 5 = 83$$ Add 5 both sides: $$2x = 88$$ Divide both sides by$$2: x = 44$$ 11- C $$11 \times 36 + 6 \times 12 + 4 = 472$$ 12- C To find the number of possible outfit combinations, multiply number of options for each factor: 3 $$\times$$ 5 $$\times$$ 4 $$=$$ 60 13- B Let $$x$$ be the smallest number. Then, these are the numbers: $$x, x+1, x+2, x+3, x+4$$ $$average = \frac{sum of terms}{number of terms} \Rightarrow 38 = \frac{x+(x+1)+(x+2)+(x+3)+(x+4)}{5} \Rightarrow 38= \frac{5x+10}{5} \Rightarrow 190 = 5x+10 \Rightarrow 180 = 5x \Rightarrow x=36$$ 14- D The smallest 4–digit number is 1000, and the biggest 4–digit number is 9999. The difference is: 8999 15- C The area of the floor is: $$6 cm \times 24 cm = 144 cm^2$$ The number of tiles needed$$= 144 \div 8 = 18$$ 16- D The relationship among all sides of a special right triangle $$30^ \circ -60^ \circ – 90^ \circ$$ is provided in this triangle: In this triangle, the opposite side of the $$30^ \circ$$ angle is half of the hypotenuse. Draw the shape for this question: The latter is the hypotenuse. Therefore, the latter is 60 ft. 17- B $$average = \frac{sum of terms}{number of terms}$$ The sum of the weight of all girls is: $$18 \times 60 = 1080$$ kg The sum of the weight of all boys is: $$32 \times 62 = 1984$$ kg The sum of the weight of all students is: $$1080 + 1984 = 3064$$ kg $$average = \frac{3064}{50}=61.28$$ 18- B The sum of supplement angles is 180. Let $$x$$ be that angle. Therefore, $$x + 5x = 180$$ $$6x = 180$$, divide both sides by $$6: x = 30$$ 19- A In the stadium, the ratio of home fans to visiting fans in a crowd is 5:7. Therefore, total number of fans must be divisible by $$12: 5 + 7 = 12$$. Let’s review the choices: A. 12,324: $$12,324 \div 12 = 1027$$ B. 42,326: $$42,326 \div 12 = 3,527.166$$ C. 44,566: $$44,566 \div 12 = 3,713.833$$ D. 66,812: $$66,812 \div 12 = 5,567.666$$ Only choice A when divided by 12 results in a whole number. 20- A The percent of girls playing tennis is: $$40 \% \times 25\% = 0.40 \times 0.25 = 0.10 = 10\%$$ Looking for the best resource to help you succeed on the ParaPro Math test? ## The Best Book to Ace the ParaPro Test Original price was:$19.99.Current price is: $14.99. Satisfied 193 Students ## More from Effortless Math for ParaPro Test … ### Have you chosen the self-study method to prepare for ParaPro math? So, you can include the use of The Ultimate ParaPro Math Course (+ FREE Worksheets & Tests) in your study plan. ### Worried about forgetting ParaPro math formulas? Take ParaPro Math Formulas with you everywhere and review them so that the formulas stay in your mind. ### Your success in the ParaPro math test depends on sufficient practice and familiarity with common test questions. So we set out to provide the Top 10 ParaPro Math Practice Questions for ParaPro test takers. ## The Perfect Prep Booksfor the ParaPro Math Test Original price was:$69.99.Current price is: $35.99. Satisfied 104 Students Original price was:$25.99.Current price is: $14.99. Satisfied 99 Students Original price was:$17.99.Current price is: $12.99. Satisfied 130 Students Original price was:$20.99.Current price is: $15.99. Satisfied 173 Students ## Have any questions about the ParaPro Test? Write your questions about the ParaPro or any other topics below and we’ll reply! ## Related to This Article ### More math articles ### What people say about "FREE ParaPro Math Practice Test - Effortless Math: We Help Students Learn to LOVE Mathematics"? No one replied yet. 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