# PSAT Prep: Practice & Study Guide Final Exam

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#### Question 1 1. If the leg of a 45-45-90 triangle is 19, approximately how long is the hypotenuse?

#### Question 2 2. Which of the following is equivalent to the expression below?

#### Question 3 3. What is the volume of an open-ended cube that has a surface area of 125 square meters?

#### Question 4 4. Using the Pie Chart 'Who Sells The Most Fast Food?', which fast food restaurant had about 17 Billion in sales?

#### Question 5 5. The probability of selecting a red M&M from a bag is 2/5. If 5 M&Ms are selected, what is the probability of at least one M&M being red?

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#### Question 6 6. Fifty tickets are sold for a raffle. You buy 2 tickets and your sister buys 4 tickets. One ticket is randomly chosen as the winning ticket. What is the probability that you or your sister wins the raffle?

#### Question 7 7. Which of the following sentences is grammatically correct?

#### Question 8 8. Which slope intercept form equation is equivalent to the standard form equation -x+2y=-8?

#### Question 9 9. Stephen decided to make a list of his top 5 movies of all time. If he has it narrowed down to 20 movies, how many different lists could he make?

#### Question 10 10. Find the distance between the two points (-4, -2) and (-4, 3).

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Question 11
11.
Find f(*x*) if f-1 (*x*) = *x*3 + 2

#### Question 12 12. What is g(f(4)) if g(x) = x+1 and f(x) = √(x)?

#### Question 13 13. Subtract and simplify.

#### Question 14 14. Simplify the following expression using positive exponents.

#### Question 15 15. If the long leg of a 30-60-90 triangle is 23, approximately how long is the short leg?

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#### Question 16 16. Why is it important to be specific in your writing?

#### Question 17 17. What is the prime factorization of 420?

#### Question 18 18. Jeremy's goal is to jog around the neighborhood park four times. If the park has four sides and each side is 100 meters, how many meters will Jeremy jog?

#### Question 19 19. What notation do you use to show that you have an inverse function?

#### Question 20 20. Which of the following sentences has a plural subject pronoun and a plural object pronoun?

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Question 21
21.
In Kate Chopin's novel *The Awakening*, a caged parrot and mockingbird, a pigeon house, and a broken-winged bird are all symbols representing _____.

#### Question 22 22. You have a dinner party and all the guests ask for seconds. What is the most logical conclusion?

#### Question 23 23. What is the perimeter of the pictured square?

#### Question 24 24. Solve, to 2 decimal places, the exponential equation below for x:

#### Question 25 25. Applying what you know about U.S. history when you read a historical novel is an example of using _____.

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#### Question 26 26. How do dramatic irony and situational irony differ?

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Question 27
27.
Which of the following is an example of auditory imagery from the poem *Metaphors* by Sylvia Plath?

#### Question 28 28. What is mood?

#### Question 29 29. Which of the following equations represents a line that passes through the point (0, 1) and has a slope of -4?

#### Question 30 30. What does a closed dot on a number line signify?

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Question 31
31.
For a function f(*x*), what is f-1 (3*f(*x*))?

*Raise up thy thoughts above the sky/That dunghill mists away may fly./Thou hast a house on high erect/Fram'd by that mighty Architect,/With glory richly furnished/Stands permanent, though this be fled.*

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Question 32
32.
Spot the allusion in the attached passage from *Verses upon the burning of our House* by Anne Bradstreet.

#### Question 33 33. All of the letters that spell MISSISSIPPI are put into a bag. What is the probability of selecting a vowel, and then after replacing the letter, also drawing an S?

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Question 34
34.
What is the slope of the line represented by the following formula?

y = 2 + 6(x - 3)

#### Question 35 35. During the first four Summer Olympic games attended by the United States, these medal counts were awarded. Calculate the mode number of medals that the United States won during these Olympic Games.

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#### Question 36 36. What are the coordinates of the x-intercept of the equation 2x-3y=8?

#### Question 37 37. Sergeant Ketchup's billiards room is 15 feet wide and 25 feet long. How many square feet is the room in total?

#### Question 38 38. Given the triangle PQE, calculate the measure of Angle Q.

#### Question 39 39. Add the following rational expressions.

#### Question 40 40. Simplify the expression using positive exponents.

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#### Question 41 41. Which of the following should you bring to the test center on test day?

#### Question 42 42. In the sequence 9, 14, 19, 24, 29, ... what is the value of the term below?

#### Question 43 43. Which of the following is the inverse function of f(x) = 2x - 3?

#### Question 44 44. That only the audience knows Louise's husband is not dead in The Story of an Hour is an example of _____.

#### Question 45 45. Find the distance between the two points (4, 1) and (10, 9).

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#### Question 46 46. Which of the following answers uses correct punctuation?

#### Question 47 47. What is the area of the circle enclosed by taking a 10 cm by 6 cm sheet and wrapping it so that the short edges touch?

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Question 48
48.
Why is the following sentence an idiom?

*Magali was excited about the opportunities she would have if she made it into Harvard but was careful not to put the cart before the horse.*

*Magali was excited about the opportunities she would have if she made it into Harvard but was careful not to put the cart before the horse.*

#### Question 49 49. Which of the following equals (x^2)/(x^3*x^n)?

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Question 50
50.
*Unity of content and form* means _____

#### PSAT Prep: Practice & Study Guide Final Exam Instructions

Choose your answers to the questions and click 'Next' to see the next question. You can skip questions if you would like and come back to them later with the "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. You will lose your work if you close or refresh this page. Good luck!