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  • Test Prep PSAT Exam Questions
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  • Exam: Preliminary Scholastic Aptitude Test: Math, Reading
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  • Total Questions: 1265
  • Updated On: Apr 05, 2025
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  • Question 1
    • A right triangle has two sides, 9 and x, and a hypotenuse of 15. What is x?

      Answer: D
  • Question 2
    • Sir Giles’s irritating reserve, not even excused by a word of apology, reached the limits of his endurance. He respectfully protested. “I regret to find, sir,” he said, “that I have lost my place in my employer’s estimation. The man to whom you confide the superintendence of your clerks and the transaction of your business has, I venture to think, some claim (under the present circumstances) to be trusted.” The banker was now offended on his side. “I readily admit your claim,” he answered, “when you are sitting at your desk in my office. But, even in these days of strikes, co-operations, and bank holidays, an employer has one privilege left – he has not ceased to be a Man, and he has not forfeited a man’s right to keep his own secrets. I fail to see anything in my conduct which has given you just reason to complain.” Dennis, rebuked, made his bow in silence, and withdrew. Did these acts of humility mean that he submitted? They meant exactly the contrary. He had made up his mind that Sir Giles Mountjoy’s motives should, sooner or later, cease to be mysteries to Sir Giles Mountjoy’s clerk. In context, the word “rebuked” is best represented by

      Answer: A
  • Question 3
    • Adapted from An Introduction to Astronomy by Forest Ray Moulton (1916 ed.) It is doubtful if any important scientific idea ever sprang suddenly into the mind of a single man. The great intellectual movements in the world have had long periods of preparation, and often many men were groping for the same truth, without exactly seizing it, before it was fully comprehended. The foundation on which all science rests is the principle that the universe is orderly, and that all phenomena succeed one another in harmony with invariable laws. Consequently, science was impossible until the truth of this principle was perceived, at least as applied to a limited part of nature. The phenomena of ordinary observation, as, for example, the weather, depend on such a multitude of factors that it was not easy for men in their primitive state to discover that they occur in harmony with fixed laws. This was the age of superstition, when nature was supposed to be controlled by a great number of capricious gods whose favor could be won by childish ceremonies. Enormous experience was required to dispel such errors and to convince men that the universe is one vast organization whose changes take place in conformity with laws which they can in no way alter. The actual dawn of science was in prehistoric times, probably in the civilizations that flourished in the valleys of the Nile and the Euphrates. In the very earliest records of these people that have come down to modern times it is found that they were acquainted with many astronomical phenomena and had coherent ideas with respect to the motions of the sun, moon, planets, and stars. It is perfectly clear from their writings that it was from their observations of the heavenly bodies that they first obtained the idea that the universe is not a chaos. Day and night were seen to succeed each other regularly, the moon was found to pass through its phases systematically, the seasons followed one another in order, and in fact the more conspicuous celestial phenomena were observed to occur in an orderly sequence. It is to the glory of astronomy that it first led men to the conclusion that law reigns in the universe. Which of the following is the best image for the author’s view of the universe?

      Answer: A
  • Question 4
    • The ratio for the side lengths of a right triangle is 3:4:5. If the perimeter is 48, what is the area of the triangle?

      Answer: A
  • Question 5
    • Farmlands, wetlands, forests, and deserts that composed the American landscape in the early twentieth century have frequently been transformed during the past thirty years into mushrooming metropolitan areas as urbanization spreads across the country. Many metropolitan areas in the United States are growing at extraordinary rates. “Urban growth is a vital issue that requires our careful attention from local to global scales,” said Barbara Ryan, USGS Associate Director of Geography. “It is not until we begin to take a broad census of the land itself – tracking landscapes from a spatial perspective in a time scale of decades – that we can grasp the scale of the changes that have already occurred and predict the impact of changes to come.” On average, between 1984 and 2004, Atlanta, Boston, Chicago, Denver, Houston, Las Vegas, Memphis, Minneapolis- St. Paul, Orlando, Phoenix, Pittsburgh, Raleigh-Durham, Reno-Sparks, Sacramento, SeattleTacoma, and Tampa-St. Petersburg averaged 173 square miles of additional urban land over the two decades, with Houston, Orlando, and Atlanta as the top three regions by area. The growth leaders by percentage change were Las Vegas (193 percent), Orlando (157 percent), and Phoenix (103 percent). The tone of this passage is best described as

      Answer: C
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