Saturday, January 24, 2009

SAT ? of the Day

The stopping distance of a car is the number of feet that the car travels after the driver starts applying the brakes. The stopping distance of a certain car is directly proportional to the square of the speed of the car, in miles per hour, at the time the brakes are first applied. If the car’s stopping distance for an initial speed of 20 miles per hour is 17 feet, what is its stopping distance for an initial speed of 40 miles per hour?



  1. 34 feet

  2. 51 feet

  3. 60 feet

  4. 68 feet

  5. 85 feet





















  • The stopping distance is directly proportional to the square of the initial speed of the car. If s represents the initial speed of the car, in miles per hour, and d represents the stopping distance, you have that the stopping distance is a function of s and that
    d(s) = cs2, where c is a constant. Since the car’s stopping distance is 17 feet for an initial speed of 20 miles per hour, you know that 17 = c(202). Therefore,
    c = 17 over (20 squared) = 0.0425, and the car's stopping distance for an initial speed of 40 miles per hour is (0.0425)(402) = 68 feet.

  • Friday, January 23, 2009

    SAT ? of the Day

    The following sentence contains either a single error or no error at all. If the sentence contains an error, select the one underlined part that must be changed to make the sentence correct. If the sentence contains no error, select choice E.











    Long been isolated from the outside world and
    A B 









    perched high in the Tibetan Himalayas, Lhasa
     C 









    is the capital of Tibet, an autonomous region
     D









    of the People’s Republic of China. No error
     E




    1. (A)

    2. (B)

    3. (C)

    4. (D)

    5. (E)











    The error in this sentence occurs at (A), where there is awkward and wordy phrasing. The awkward “Long been” should simply be “Long” (“Long isolated...”).

    Question Type: Identifying Sentence Errors
    (Writing)

    Thursday, January 22, 2009

    Snowden 12th Grade Meeting Tuesday January 27 1:15

    The January meeting will be next Tuesday January 27 at 1:15.
    See you there.

    Monday, January 19, 2009

    SAT ? of the Day

    Choose the word or set of words that, when inserted in the sentence, best fits the meaning of the sentence as a whole.


    It was difficult to believe that the sophisticated piece of technology had ------- through the centuries from such ------- and rudimentary apparatus.



    1. developed . . an intricate

    2. resulted . . a complicated

    3. evolved . . a quaint

    4. degenerated . . an obsolescent

    5. differed . . an exotic






    The phrase “through the centuries” suggests that the first missing term will describe how the “sophisticated piece of technology” developed over a period of time. The word “such” indicates that the second missing term will contrast with “sophisticated.” Only “evolved . . a quaint” satisfies both requirements.

    Difficulty: Medium
    Question Type: Sentence Completions
    (Critical Reading)

    Sunday, January 18, 2009

    SAT ? of the Day

    Read the following SAT test question, then click on a button to select your answer.


    A gasoline tank on a certain tractor holds 16 gallons of gasoline. If the tractor requires 7 gallons to plow 3 acres, how many acres can the tractor plow with a tankful of gasoline?



    1. 66 over 7

    2. 71 over 6

    3. 71 over 3

    4. 102 over 3

    5. 371 over 3





      In the question, you are told that 7 gallons of gasoline can plow 3 acres and you are asked to find how many acres, call it x, can be plowed by 16 gallons. You can set up a ratio of the number of gallons of gasoline used to the number of acres plowed. Therefore, you have 7 over 3 = 16 over x. Cross-multiplying and solving for x gives you the answer of x = 48 over 7 acres, or 66 over 7 acres.



    • Difficulty: Easy


    • Question Type: Standard Multiple Choice
      (Mathematics)

    Thursday, January 15, 2009

    SAT ? of the Day

    Read the following SAT test question, then click on a button to select your answer.


    Alice bought m pens for n dollars each, and Ben bought n pens for m dollars each. Which of the following is the average price per pen, in dollars, for all the pens that Alice and Ben bought?



    1. m times n over m plus n

    2. 2 m times n over m plus n

    3. m plus n over mn

    4. 2 plus m plus n over mn

    5. m prod n










    Correct Answer: 2



    • Here's Why:

      The average price per pen



      Alice spent m prod n dollars, and Ben spent the same amount, n prod m.
      The total number of pens they bought is m plus n. So the average price per pen will be .



    • Question Type: Standard Multiple Choice
      (Mathematics)

    Tuesday, January 13, 2009

    SAT ? of the Day

    Choose the word or set of words that, when inserted in the sentence, best fits the meaning of the sentence as a whole.


    Mr. Warmington considered himself a connoisseur of fine wines, claiming he could
    ------- variations in taste and quality among any range of vintages he was served.




    1. purvey

    2. discern

    3. efface

    4. mollify

    5. debate



    Correct Answer: B

    Here's Why:
    Choice (B) is correct. If this term were inserted into the sentence, the sentence would read “Mr. Warmington considered himself a connoisseur of fine wines, claiming he could discern variations in taste and quality among any range of vintages he was served.” A “connoisseur” has a sophisticated ability to appreciate and assess subtleties. If Mr. Warmington considered himself a connoisseur of wine, he would claim an ability to “discern,” or detect, variations in the taste and quality of different wines.

    Question Type: Sentence Completions
    (Criti

    Sunday, January 11, 2009

    SAT ? of the Day

    The following sentence contains either a single error or no error at all. If the sentence contains an error, select the one underlined part that must be changed to make the sentence correct. If the sentence contains no error, select choice E.










    The tiger  usually  hunts by night and  feeds on 
      A   B









    a variety of animals,  but it  prefers fairly large prey
      C  











     such as  deer and wild pigs.  No error
    D   E




    1. (A)

    2. (B)

    3. (C)

    4. (D)

    5. (E)




    (E) No Error

    Thursday, January 8, 2009

    Snowden in the News (humor)



    I saw this article in the Blogosphere about Snowden:




    Click here to read article

    -- Dan

    Wednesday, January 7, 2009

    SAT ? of the Day

    Choose the word or set of words that, when inserted in the sentence, best fits the meaning of the sentence as a whole.


    Paradoxically, this successful entrepreneur is sometimes ------- and at other times reclusive.



    1. autonomous

    2. dispassionate

    3. solitary

    4. unthinking

    5. gregarious





    The paradox in the sentence is that the successful entrepreneur can be “reclusive” at times and “gregarious” at others. The entrepreneur alternately prefers isolation and its opposite, the company of people.

    Difficulty: Medium
    Question Type: Sentence Completions
    (Critical Reading)

    Monday, January 5, 2009

    Party at Mary's 1/2/2009

    Great food, Apples to Apples, Ginger Bread Houses, and Play Station III.
    Click on pictures to enlarge.






    SAT ? of the Day

    The following sentence contains either a single error or no error at all. If the sentence contains an error, select the one underlined part that must be changed to make the sentence correct. If the sentence contains no error, select choice E.










    Many types of dance music and jazz call for
     A








    special instruments, which includes the hi-hat,
     B 








    a pair of cymbals operated by a foot pedal;
     C 








    a cowbell struck with a wooden-tipped drumstick;
     








    and wire brushes used on both drums and
     D 








    cymbals to produce a swishing sound. No error
     E



    1. (A)

    2. (B)

    3. (C)

    4. (D)

    5. (E)






    The error in this sentence occurs at (B), where there is an inappropriate verb form. The singular “includes” does not agree with the plural “instruments.” This problem can be fixed by using “which include” or simply “including.”

    Question Type: Identifying Sentence Errors
    (Writing)

    Saturday, January 3, 2009

    SAT ? of the Day

    Read the following SAT test question, then click on a button to select your answer.


    If a, b, and c are numbers such that a over b eq 3 and b over c eq 7, then a plus b over b plus c is equal to which of the following?



    1. 7 over 2

    2. 7 over 8

    3. 3 over 7

    4. 1 over 7

    5. 21




    Answer is 1.
  • Here's Why:

    From a over b eq 3 is implied that a plus b over b eq 4 (1)



    And from b over c eq 7 is implied that b over b plus c eq 7 over 8 (2)



    If we multiply (1) and (2) together, we have that a plus b over b plus c eq 4 times 7 over 8 eq 7 over 2 ( b is canceled out).



    • Question Type: Standard Multiple Choice
      (Mathematics)

    Thursday, January 1, 2009

    SAT ? of the Day

    Choose the word or set of words that, when inserted in the sentence, best fits the meaning of the sentence as a whole.


    Contemporary novelist Alice Walker is quite the opposite of ------- ; through the ability of her heroines to rise above tragic setbacks, she expresses the belief that people can take charge of their own destinies.



    1. an optimist

    2. an idealist

    3. a moralizer

    4. a fatalist

    5. a competitor



    The most important phrase in this sentence is “quite the opposite.” The sentence says that Alice Walker is a person who believes people can take charge of their own destinies. A “fatalist” is one who believes that events are determined by fate and that individuals cannot take charge of their own destinies. So the term “fatalist” describes the opposite of Alice Walker and is thus the correct response.

    Difficulty: Medium
    Question Type: Sentence Completions
    (Critical Reading)