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九道SAT数学练习题及答案

  下面为大家整理的是九道SAT数学练习题的内容,包括了一些常见的知识点。SAT数学题拥有自己的逻辑关系和解题方法,这些都是大家在备考的时候,需要格外注意的部分。下面我们一起来看看这些数学题的详细内容吧。

  1.On the last day of a one-week sale, customers numbered 149through 201were waited on. How many customers were waited on that day? 

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  Answer Choices

  (A) 51 

  (B) 52

   (C) 53 

  (D) 152 

  (E) 153 

  2.For how many positive two-digit integers is the ones digit greater than twice the tens digit?

  A. 16 

  B. 20 

  C. 28 

  D. 32 

  E. 36 

math image

   3.If xis a number from Column Xand yis a number from Column Yin the table above, how many different values are possible for x + y

  A. Nine

  B. Eight

  C. Seven

  D. Six

  E. Five

  4.If pis an odd integer, which of the following is an even integer? 

  A. p minus 2 

  B. p^2 

  C. p^2 minus 2 

  D. (p minus 2)^2 

  E. p^2 minus p 

  5.The length of a rectangle is increased by 20%, and the width of the rectangle is increased by 30%. By what percentage will the area of the rectangle be increased?

  (A) 25%

  (B) 36%

  (C) 50%

  (D) 56%

  (E) 60%

 

  6.If s = 1 + (1 over 2) + (1 over 4) + (1 over 8) + (1 over 16) + (1 over 32)and t =1 + (1 over 2) times s, then texceeds sby

 

  A 1/4

  B 1/8

  C 1/16

  D 1/32

  E 1/64

 

  7.If 2^a = 4^b, which of the following expresses a in terms of b?

  Answer Choices

  (A) b over 2

  (B) b

  (C) 2 times b

  (D) 4 times b

  (E) 2^b

  8.A mechanic can install carburetors in 3 cars every 4 hours. At that rate, how long will it take the mechanic to install carburetors in 5 cars?

  (A) 6 hr 20 min

  (B) 6 hr 40 min

  (C) 7 hr 15 min

  (D) 7 hr 30 min

  (E) 7 hr 45 min

  9.What is the maximum number of nonoverlapping squares with sides of length 3 that will fit inside of a square with sides of length 6?

  (A) Two

  (B) Three

  (C) Four

  (D) Six

  (E) Nine

  Explanation

  1.The correct answer is C

  The number of customers who were waited on that day is (201 minus 149) + 1 = 53, as the total number of customers is those customers numbered 149to 201inclusive.

  2.The correct answer is A

  The correct answer is (A). If the tens digit is 1, there are 7positive two-digit integers with the ones digit greater than twice the tens digit: 13 comma 14 comma 15 comma 16 comma 17 comma 18and 19. If the tens digit is 2, there are 5positive two-digit integers with the ones digit greater than twice the tens digit: 25, 26, 27, 28and 29. If the tens digit is 3, there are 3positive two-digit integers with the ones digit greater than twice the tens digit: 37, 38and 39. If the tens digit is 4, there is 1positive two-digit integer with the ones digit greater than twice the tens digit: . If the tens digit is equal to or greater than 5, then the ones digi

  3.The correct answer is E

  First, add the labeled points A, B, C, D, E, and Oto the figure, as shown above. Then segment line O Bbisects angle A O C, so measure of angle A O B = measure of angle B O C, and measure of angle A O B + measure of angle B O C = x degrees = 60 degrees. Thus, measure of angle A O B = measure of angle B O C = 30 degrees. Similarly, measure of angle C O D = measure of angle D O E = 20 degrees, because angle C O Dand angle D O Eare of equal measure and the sum of their measures is y degrees = 40 degrees. From the figure, it follows that z degrees = measure of angle B O C + measure of angle C O D = 30 degrees + 30 degrees = 50 degrees. Therefore, z = 50.

  4.The correct answer is E

  If pis an odd integer, then p minus 2and p^2are odd integers. Similarly, choices Cand Dare odd integers. Since an odd integer subtracted from another odd integer is always an even integer, p^2 minus pis even.

  5.The correct answer is D

  Let land wbe the original length and width of the rectangle, respectively. If we denote by Land Wthe new length and width of the rectangle, respectively, then we have:

 

  L = l + ((20 over 100) times l) = 1.2 times land W = w + ((30 over 100) times w) = 1.3 times w

 

  So, the new area will be:  

A = L times W = (1.2 times l) times (1.3 times w) = 1.56 times (l times w)

 

  

1.56 times (l times w) = (l times w) + ((56 over 100) times (l times w))

 

  where (l times w) is the original area of the rectangle.

 

  So the area is increased by 56%.

  6.The correct answer is E

  “texceeds s” is interpreted mathematically as the value of t minus sand is evaluated as follows:

 

  

Long Equation

  7.The correct answer is D

  Choice (C) is correct. Since 4 = 2^2, it follows that 4^b = (2^2)^b = 2^(2 times b). Therefore, 2^a = 4^b = 2^(2 times b), from which it follows that a = 2 times b.

  8.The correct answer is B

  From the information given, you can write the proportion 3 cars is to 4 hours as 5 cars is to x hours, where x represents the number of hours the mechanic will take to install carburetors in 5 cars. This gives 3 cars over 4 hours = 5 cars over x hours, which simplifies to 3 times x = 4 times 5 = 20. Therefore, x = 20 over 3 = 6 and (2 over 3) hours. Since 2 over 3 hour is 40 minutes, x is 6 hours 40 minutes.

  9.The correct answer is C

  Choice (C) is correct. A square with sides of length 3 has area 9, and a square with sides of length 6 has area 36. Thus at most 36 ÷ 9 = 4 squares of side length 3 can fit inside a square of side length 6 without overlapping. And in fact, it is possible to fit the four squares of side length 3 inside a square of side length 6 with no overlap; if the four squares with sides of length 3 are arranged in two rows with two squares in each row, they will fit inside of the square with sides of length 6 without overlapping. Therefore, the maximum number of nonoverlapping squares with sides of length 3 that will fit inside of a square with sides of length 6 is four.

  以上就是这九道SAT数学练习题及答案的详细内容,后面附有详细的答案解析。大家可以在备考的时候,对此加以适当的练习和应用,测试自己在数学方面知识点的掌握情况。


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