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AT數學應試經典練習試題及解析

2021-06-12 試題

  SAT試題

  1.試題

  1. If 10+x is 5 more than 10, what is the value of 2x ?

  (A)-5 (B) 5 (C) 10 (D) 25 (E) 50

  2. If(x -2)2 =49, then x could be

  (A) -9 (B) -7 (C) 2 (D) 5 (E) 9

  3. If this page was folded along the dotted line in the figure above, the left half of the letter W would exactly coincide with the right half of W. Which of the following letters, as shown, CANNOT be folded along a vertical line so that its left half would coincide with its right half?

  (A) A (B) I (C) O (D) U (E) E

  4. In a certain store, the regular price of a refrigerator is $600. How much money is saved by buying this refrigerator at 20 percent off the regular price rather than buying it on sale at 10 percent off the regular price

  with an additional discount of 10 percent off the sale price?

  (A) $6 (B) $12 (C) $24 (D) $54 (E) $60

  5. Which of the following is the graph of a function f such that f(x) = 0 for exactly two values of x between

  -5 and 5 ?

  (A) (B)

  (C) (D)

  (E)

  6. Based on the portions of the graphs of the functions f and g shown above, what are all values of x between -6 and 6 for which g x f x ?

  (A) -6 < x <-3 only (B) -3 < x < 0 only (C) 0 < x < 3 only

  (D) 3 < x < 6 only (E) -6 < x < -3 and 0 < x < 3。

  7. Point O is the center of both circles in the figure above. If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle, what is the length of the darkened arc?

  (A) 10 (B) 8 (C) 6 (D) 4 (E) 2

  8. If x = 20 and y = 30 in the figure above, what is the value of z ?

  (A) 60 (B) 70 (C) 80 (D) 90 (E) 100

  9. If 6 < |x-3| < 7 and x < 0, what is one possible value of |x| ?

  10. What is the product of the smallest prime number that is greater than 50 and the greatestprime number that is less than 50 ?

  2.答案

  1.(C), 2. (E), 3. (E), 4.(A), 5.(D), 6. (B), 7. (D), 8. (B), 9.x < 4, 10.1300

  第二節SAT閱讀

  SAT的閱讀部分對中國學生來說是最難對付的了,一是它的詞匯量要求極大;二是它對時間的要求甚嚴,三是它的問題中有一些即使翻譯成漢語也是很不好回答的。

  SAT閱讀部分由3個試卷共65道選擇題組成,均是選擇試題。每道選擇題有五項選擇答案,總測試時間為70分鐘。下表是閱讀試題的一個得分換算表,盡管每次考試的得分表略有不同,但不會有大的變化。表中左面的一列是原始分數(R=C-W),右面的一列為最終得分。

  表5-2-1 SAT閱讀考試的原始分數和總分數的換算表

  這里,C是英文Correct的縮寫,它代表答對的題目數;W是英文Wrong的縮寫,代表答錯的多項選擇題數乘以1/4后再把結果四舍五入后得到的值。

  如果一位考生答對了65道題,錯了2道題,那么他的C =65,W=1(2*1/4=0.5, 四舍五入),所以的R=C-W=65-1=64;由上表得知該考生的SAT閱讀部分的得分是滿分(800分)。由此可見在SAT考試中盡管你錯了題,但仍然可能得滿分。

  SAT試題

  1.試題

  1. If 10+x is 5 more than 10, what is the value of 2x ?

  (A)-5 (B) 5 (C) 10 (D) 25 (E) 50

  2. If(x -2)2 =49, then x could be

  (A) -9 (B) -7 (C) 2 (D) 5 (E) 9

  3. If this page was folded along the dotted line in the figure above, the left half of the letter W would exactly coincide with the right half of W. Which of the following letters, as shown, CANNOT be folded along a vertical line so that its left half would coincide with its right half?

  (A) A (B) I (C) O (D) U (E) E

  4. In a certain store, the regular price of a refrigerator is $600. How much money is saved by buying this refrigerator at 20 percent off the regular price rather than buying it on sale at 10 percent off the regular price

  with an additional discount of 10 percent off the sale price?

  (A) $6 (B) $12 (C) $24 (D) $54 (E) $60

  5. Which of the following is the graph of a function f such that f(x) = 0 for exactly two values of x between

  -5 and 5 ?

  (A) (B)

  (C) (D)

  (E)

  6. Based on the portions of the graphs of the functions f and g shown above, what are all values of x between -6 and 6 for which g x f x ?

  (A) -6 < x <-3 only (B) -3 < x < 0 only (C) 0 < x < 3 only

  (D) 3 < x < 6 only (E) -6 < x < -3 and 0 < x < 3。

  7. Point O is the center of both circles in the figure above. If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle, what is the length of the darkened arc?

  (A) 10 (B) 8 (C) 6 (D) 4 (E) 2

  8. If x = 20 and y = 30 in the figure above, what is the value of z ?

  (A) 60 (B) 70 (C) 80 (D) 90 (E) 100

  9. If 6 < |x-3| < 7 and x < 0, what is one possible value of |x| ?

  10. What is the product of the smallest prime number that is greater than 50 and the greatestprime number that is less than 50 ?

  2.答案

  1.(C), 2. (E), 3. (E), 4.(A), 5.(D), 6. (B), 7. (D), 8. (B), 9.x < 4, 10.1300

  第二節SAT閱讀

  SAT的閱讀部分對中國學生來說是最難對付的了,一是它的詞匯量要求極大;二是它對時間的要求甚嚴,三是它的問題中有一些即使翻譯成漢語也是很不好回答的。

  SAT閱讀部分由3個試卷共65道選擇題組成,均是選擇試題。每道選擇題有五項選擇答案,總測試時間為70分鐘。下表是閱讀試題的一個得分換算表,盡管每次考試的得分表略有不同,但不會有大的變化。表中左面的一列是原始分數(R=C-W),右面的一列為最終得分。

  表5-2-1 SAT閱讀考試的原始分數和總分數的換算表

  這里,C是英文Correct的縮寫,它代表答對的題目數;W是英文Wrong的縮寫,代表答錯的多項選擇題數乘以1/4后再把結果四舍五入后得到的值。

  如果一位考生答對了65道題,錯了2道題,那么他的C =65,W=1(2*1/4=0.5, 四舍五入),所以的`R=C-W=65-1=64;由上表得知該考生的SAT閱讀部分的得分是滿分(800分)。由此可見在SAT考試中盡管你錯了題,但仍然可能得滿分。

  SAT試題

  1.試題

  1. If 10+x is 5 more than 10, what is the value of 2x ?

  (A)-5 (B) 5 (C) 10 (D) 25 (E) 50

  2. If(x -2)2 =49, then x could be

  (A) -9 (B) -7 (C) 2 (D) 5 (E) 9

  3. If this page was folded along the dotted line in the figure above, the left half of the letter W would exactly coincide with the right half of W. Which of the following letters, as shown, CANNOT be folded along a vertical line so that its left half would coincide with its right half?

  (A) A (B) I (C) O (D) U (E) E

  4. In a certain store, the regular price of a refrigerator is $600. How much money is saved by buying this refrigerator at 20 percent off the regular price rather than buying it on sale at 10 percent off the regular price

  with an additional discount of 10 percent off the sale price?

  (A) $6 (B) $12 (C) $24 (D) $54 (E) $60

  5. Which of the following is the graph of a function f such that f(x) = 0 for exactly two values of x between

  -5 and 5 ?

  (A) (B)

  (C) (D)

  (E)

  6. Based on the portions of the graphs of the functions f and g shown above, what are all values of x between -6 and 6 for which g x f x ?

  (A) -6 < x <-3 only (B) -3 < x < 0 only (C) 0 < x < 3 only

  (D) 3 < x < 6 only (E) -6 < x < -3 and 0 < x < 3。

  7. Point O is the center of both circles in the figure above. If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle, what is the length of the darkened arc?

  (A) 10 (B) 8 (C) 6 (D) 4 (E) 2

  8. If x = 20 and y = 30 in the figure above, what is the value of z ?

  (A) 60 (B) 70 (C) 80 (D) 90 (E) 100

  9. If 6 < |x-3| < 7 and x < 0, what is one possible value of |x| ?

  10. What is the product of the smallest prime number that is greater than 50 and the greatestprime number that is less than 50 ?

  2.答案

  1.(C), 2. (E), 3. (E), 4.(A), 5.(D), 6. (B), 7. (D), 8. (B), 9.x < 4, 10.1300

  第二節SAT閱讀

  SAT的閱讀部分對中國學生來說是最難對付的了,一是它的詞匯量要求極大;二是它對時間的要求甚嚴,三是它的問題中有一些即使翻譯成漢語也是很不好回答的。

  SAT閱讀部分由3個試卷共65道選擇題組成,均是選擇試題。每道選擇題有五項選擇答案,總測試時間為70分鐘。下表是閱讀試題的一個得分換算表,盡管每次考試的得分表略有不同,但不會有大的變化。表中左面的一列是原始分數(R=C-W),右面的一列為最終得分。

  表5-2-1 SAT閱讀考試的原始分數和總分數的換算表

  這里,C是英文Correct的縮寫,它代表答對的題目數;W是英文Wrong的縮寫,代表答錯的多項選擇題數乘以1/4后再把結果四舍五入后得到的值。

  如果一位考生答對了65道題,錯了2道題,那么他的C =65,W=1(2*1/4=0.5, 四舍五入),所以的R=C-W=65-1=64;由上表得知該考生的SAT閱讀部分的得分是滿分(800分)。由此可見在SAT考試中盡管你錯了題,但仍然可能得滿分。

  SAT試題

  1.試題

  1. If 10+x is 5 more than 10, what is the value of 2x ?

  (A)-5 (B) 5 (C) 10 (D) 25 (E) 50

  2. If(x -2)2 =49, then x could be

  (A) -9 (B) -7 (C) 2 (D) 5 (E) 9

  3. If this page was folded along the dotted line in the figure above, the left half of the letter W would exactly coincide with the right half of W. Which of the following letters, as shown, CANNOT be folded along a vertical line so that its left half would coincide with its right half?

  (A) A (B) I (C) O (D) U (E) E

  4. In a certain store, the regular price of a refrigerator is $600. How much money is saved by buying this refrigerator at 20 percent off the regular price rather than buying it on sale at 10 percent off the regular price

  with an additional discount of 10 percent off the sale price?

  (A) $6 (B) $12 (C) $24 (D) $54 (E) $60

  5. Which of the following is the graph of a function f such that f(x) = 0 for exactly two values of x between

  -5 and 5 ?

  (A) (B)

  (C) (D)

  (E)

  6. Based on the portions of the graphs of the functions f and g shown above, what are all values of x between -6 and 6 for which g x f x ?

  (A) -6 < x <-3 only (B) -3 < x < 0 only (C) 0 < x < 3 only

  (D) 3 < x < 6 only (E) -6 < x < -3 and 0 < x < 3。

  7. Point O is the center of both circles in the figure above. If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle, what is the length of the darkened arc?

  (A) 10 (B) 8 (C) 6 (D) 4 (E) 2

  8. If x = 20 and y = 30 in the figure above, what is the value of z ?

  (A) 60 (B) 70 (C) 80 (D) 90 (E) 100

  9. If 6 < |x-3| < 7 and x < 0, what is one possible value of |x| ?

  10. What is the product of the smallest prime number that is greater than 50 and the greatestprime number that is less than 50 ?

  2.答案

  1.(C), 2. (E), 3. (E), 4.(A), 5.(D), 6. (B), 7. (D), 8. (B), 9.x < 4, 10.1300

  第二節SAT閱讀

  SAT的閱讀部分對中國學生來說是最難對付的了,一是它的詞匯量要求極大;二是它對時間的要求甚嚴,三是它的問題中有一些即使翻譯成漢語也是很不好回答的。

  SAT閱讀部分由3個試卷共65道選擇題組成,均是選擇試題。每道選擇題有五項選擇答案,總測試時間為70分鐘。下表是閱讀試題的一個得分換算表,盡管每次考試的得分表略有不同,但不會有大的變化。表中左面的一列是原始分數(R=C-W),右面的一列為最終得分。

  表5-2-1 SAT閱讀考試的原始分數和總分數的換算表

  這里,C是英文Correct的縮寫,它代表答對的題目數;W是英文Wrong的縮寫,代表答錯的多項選擇題數乘以1/4后再把結果四舍五入后得到的值。

  如果一位考生答對了65道題,錯了2道題,那么他的C =65,W=1(2*1/4=0.5, 四舍五入),所以的R=C-W=65-1=64;由上表得知該考生的SAT閱讀部分的得分是滿分(800分)。由此可見在SAT考試中盡管你錯了題,但仍然可能得滿分。

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