Cracking the Sat Princeton Review 2013 Answers Test 1
Yous tin use a reckoner for questions i–2. Learn more than nearly the Saturday Math Test.
1. A gas station sells regular gasoline for $2.39 per gallon and premium gasoline for $ii.79 per gallon. If the gas station sold a total of 550 gallons of both types of gasoline in ane twenty-four hour period for a total of $i,344.50, how many gallons of premium gasoline were sold?
(A) 25 (B) 75 (C) 175 (D) 475
Answer: (B) 75 When asked for a specific value, endeavour Plugging In the Answers. Label them as gallons of premium and start with the value in (B). If 75 gallons of premium were sold, the station would make 75($two.79) = $209.25 for those sales. A total of 550 gallons were sold, and so the station would have sold 550 - 75 = 475 gallons of regular gasoline. The sales for the regular gasoline would be 475($two.39) = $1,135.25. The total sales for both types of gasoline would be $209.25 + $1,135.25 = $1,344.50. That matches the data in the question, so (B) is correct.
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two. If f(x) = 2x two + 4 for all real numbers x , which of the following is equal to f(iii) + f(5) ?
(A) f (4) (B) f (6) (C) f (x) (D) f (15)
Answer: (B) f (half-dozen) To find the value of f(3) + f(5), find the values of f (3) and f (v) separately: f(3) = 2(iii) two + iv = 22 and f(5) = 2(5) two + iv = 54 . So f(three) + 5(5) = 76. Y'all can tell that f (4) volition be between 22 and 54, then you lot can cantankerous out (A). If you ballpark (C) and (D), putting 10 or 15 in the office will give you a number bigger than 100, and y'all're looking for 76, so (C) and (D) are likewise big. That means the reply is (B) by process of elimination.
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Don't use a computer for question 3.
iii. In the figure below, circle O has a radius of 8, and angle XOY measures five ⁄ 16 π radians. What is the measure of minor arc XY ?
(A) v ⁄ xvi π (B) 5 ⁄ 2 π (C) 5π (D) 16π
Answer: (B) 5 ⁄ 2 π Considering the question wants arc length and gives you lot the measure of the central angle in radians, y'all can use the formula s = rθ to find the arc length: southward = (8)( 5 ⁄ 16 π) = 40 ⁄ xvi π , which reduces to five ⁄ 2 π , which is (B).
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Questions 1-3 are based on the following passage. Stumped? Check out these SAT reading tips.
This passage is excerpted from the 1854 book Walden by Henry David Thoreau, which details Thoreau's feel living in a cabin alone for ii years.
I think that I beloved society every bit much as most, and am ready enough to fasten myself similar a bloodsucker for the time to any pedigree man that comes in my fashion. I am naturally no hermit, (5) but might possibly sit out the sturdiest bedfellow for the bar-room, if my business organization called me thither.
I had three chairs in my business firm; one for solitude, 2 for friendship, iii for society. When visitors come in larger and unexpected (10) numbers there was but the tertiary chair for them all, but they more often than not economized the room by standing up. It is surprising how many great men and women a pocket-size house volition incorporate. I take had xx-five or thirty souls, with their bodies, (15) at once nether my roof, and yet we oft parted without being aware that we had come very almost to one another.
Ane inconvenience I sometimes experienced in so pocket-sized a business firm, the difficulty of getting to a (20) sufficient altitude from my guest when we began to utter the big thoughts in big words. Y'all want room for your thoughts to get into sailing trim and run a course or ii before they make their port. The bullet of your thought must accept (25) overcome its lateral and ricochet motion and fallen into its concluding and steady class before it reaches the ear of the hearer, else it may plow out over again through the side of his caput. Also our sentences wanted room to unfold and form (30) their columns in the interval. Individuals, like nations, must have suitable broad and natural boundaries, fifty-fifty a considerable neutral ground, between them. I have establish it a singular luxury to talk beyond the pond to a companion on the (35) opposite side. In my house nosotros were so near that we could not begin to hear—we could not speak low enough to be heard; as when you throw 2 stones into at-home water so near that they break each other'south undulations. Every bit the conversation (40) began to assume a loftier and grander tone, we gradually shoved our chairs farther autonomously till they touched the wall in opposite corners so commonly there was not room enough.
My "best" room, nonetheless, my withdrawing (45) room, always ready for company, on whose carpet the sun rarely savage, was the pine wood backside my house. Thither in summer days, when distinguished guests came, I took them, and a priceless domestic swept the floor and dusted the (50) furniture and kept the things in social club.
If one guest came he sometimes partook of my frugal meal, and information technology was no interruption to conversation to be stirring a jerky-pudding or watching the rising and maturing of a loaf of (55) breadstuff in the ashes, in the meanwhile. But if twenty came and sat in my house at that place was nothing said about dinner, though there might be breadstuff enough for two, more than than if eating were a forsaken habit; only we naturally practised (60) abstinence; and this was never felt to be an offence confronting hospitality, but the well-nigh proper and considerate course. The waste matter and decay of concrete life, which so ofttimes needs repair, seemed miraculously retarded in such a case, and the vital (65) vigor stood its ground. I could entertain thus a thousand as well as twenty; and if any ever went away disappointed or hungry from my house when they found me at habitation, they may depend upon it that I sympathized with them at to the lowest degree. Then (seventy) piece of cake it is, though many housekeepers doubtfulness it, to establish new and better community in the place of the sometime. You need not rest your reputation on the dinners you give.
As for men, they will hardly neglect one (75) anywhere. I had more visitors while I lived in the wood than at any other period in my life; I mean that I had some. I met several at that place nether more favorable circumstances than I could anywhere else. But fewer came to see me on little business. (80) In this respect, my visitor was winnowed by my mere distance from town. I had withdrawn so far within the slap-up ocean of solitude, into which the rivers of lodge empty, that for the about part, so far as my needs were concerned, only the finest (85) sediment was deposited effectually me.
one. The main narrative betoken of view in the passage is of
(A) a man adjusting to life in a big city after growing up on a subcontract.
(B) a give-and-take of visitors to a small house abroad from city life.
(C) a sailor discussing the pond on which he grew up and how information technology affected his friendships.
(D) a man discussing the potential of big thoughts and their need to exist expressed.
Answer: (B) The chief narrative point of view in this passage is from a homo who is living in a house nearly a swimming (as evidenced by his statement "I take found information technology a singular luxury to talk beyond the pond"), which is near the wood (as noted when he says..."the pine woods backside my business firm"). Selection (A) is incorrect considering the narrator is non in the urban center. Choice (C) is incorrect considering there is no evidence that the author was a sailor. Choice (D) is incorrect because, while the writer does discuss thoughts in the tertiary paragraph, it is not the principal subject discussed by the man in the passage. Therefore, (B) is the correct reply.
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2. In the context of the passage, the phrase "as when y'all throw two stones into calm water so well-nigh they break each other'south undulations," (lines 37–39) is best described every bit
(A) a reference to the author's childhood days when he threw stones into a lake.
(B) an analogy used to elaborate on a previous statement.
(C) a way to expand on the reasons national boundaries are ever changing.
(D) a reason that the author and his companion had to continually move their chairs to be heard.
Answer: (D)
The author says that big thoughts must have room to move around before beingness heard. He says that he enjoys talking across the pond because in that location is enough room for thoughts to be heard . At that place is no evidence in the passage that the large thoughts demand to be violent, then eliminate (A). Eliminate (B) considering the writer does not country that big thoughts need to break out of the receiver's head, only that they could if they are not given plenty fourth dimension to develop. Choice (C) is incorrect because information technology is too far from the text. The author is not literally maxim that thoughts need more time to reach the hearer. Since (D) most closely matches the text, information technology is correct.
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three. As used in line 27, "plow" most nearly means
(A) push.
(B) furrow.
(C) cultivate.
(D) walk.
Answer: (A)
The writer notes that the ideas need to bounce effectually and settle, or they volition plow and push their way out of the listener'southward head. Therefore, (A) is the correct answer because information technology matches the prediction from the text, and the other answers do not.
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Questions 1–iii are based on the following passage. Learn how to tackle the Sat Writing & Language Department.
After reading the passage beneath, cull the answer to each question that most effectively improves the quality of writing in the passage or that makes the passage conform to the conventions of standard written English. Many questions include a "NO Modify" choice. Cull that choice if you think the best pick is to exit the relevant portions of the passage as it is.
The speakers of what has come up to be known as (i) Appalachian English language has used a form of English language that few can explicate. Many scholars believe Appalachian pronunciation comes from Scots-Irish immigration, only (two) some theorizes that this dialect of English language may be closer to what Londoners spoke in Elizabethan times. Trying to empathise these changes (three) demonstrate that although nosotros all technically speak English, nosotros speak very unlike languages indeed.
1.
(A) NO CHANGE
(B) Appalachian English language uses
(C) Appalachian English utilise
(D) Appalachian English language using
Answer: (C) Appalachian English language utilise
First check what's changing in the answer choices. When you see verbs changing in the answer choices, the first affair to cheque is the subject of the judgement. Is the verb consistent with the discipline? In this instance, information technology'south non. The subject of this sentence is speakers , which is plural. Therefore, merely (A) and (B) have to be eliminated, and (D) creates an incomplete thought. Just (C) can work in the context.
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ii.
(A) NO CHANGE
(B) some theorized
(C) some accept theorized
(D) some theorize
Answer: (D) some theorize
Bank check what'due south changing in the respond choices. The word some remains consistent, but the verbs are irresolute. Think from the start question that whenever you meet verbs changing, brand sure the verb is consistent with the subject. Because the subject field of this sentence is some , yous can eliminate (A) which isn't consistent. Then because all the others are consistent with the subject, make sure they are consistent with the other verbs. Information technology looks like all the other verbs in this judgement— believe, comes, may be, —are in the present tense, and so the underlined verb should be too, as it is in (D). Choices (B) and (C) could piece of work in some contexts, just non this ane.
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3.
(A) NO CHANGE
(B) demonstrate that although nosotros all technically spoke English, we speak
(C) demonstrates that although we all technically speak English, we might take been speaking
(D) demonstrates that although nosotros all technically speak English, nosotros speak
Answer: (D) demonstrates that although we all technically speak English, we speak
Offset check what's changing in the reply choices. Information technology looks like lots of verbs! Allow's kickoff with the starting time. See which 1, demonstrate or demonstrates , is consistent with the subject. That subject is Trying , which is singular, thus eliminating (A) and (B). And so, we have to choose betwixt speak and might have been speaking . Since both of these are consistent with the subject we , permit'south try to the selection the one that is most consistent with other verbs. The only other verbs are demonstrates and speak , both of which are in the present tense and don't use the odd might take been course. Therefore, if we accept to choose betwixt (C) and (D), (D) is definitely meliorate.
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