Tag Archives: SAT

SAT/ACT problem of the week, November 24, 2016

Choose the word or set of words that best completes the following statement.

The 2010 TV series Caprica, which contained many references to polytheistic and monotheistic faiths reminiscent of past and present religions, was a spin-off created as as an attempt to ———— from the ———— popularity of the 2004 series Battlestar Galactica, which also contained deep religious undertones.

  1. eschew . . overwhelming (check answer)
  2. build . . immense (check answer)
  3. wean . . dramatic (check answer)
  4. confound . . aural (check answer)
  5. encourage . . massive (check answer)

Solutions, hints, and questions are welcomed. A full solution will be posted on August 24th.

SAT problem of the week, November 17, 2016

A portion of the following sentence is underlined. Below the sentence are five ways of rewording the sentence by replacing the underlined material. If you feel the underlined word produces a more correct sentence than any other alternative, choose A.

For the benefit of cheating on the test completely negated by the risk of expulsion and exemption from financial aid, Katheryn made the decision to study for the grammar section of the SATs.

  1. For the (check answer)
  2. With the (check answer)
  3. The (check answer)
  4. On the (check answer)
  5. As the (check answer)

Solutions, hints, and questions are welcomed. A full solution will be posted on November 23rd.

SAT/ACT problem of the week, November 10, 2016 solution

Hint for process of elimination: In the vast majority of cases, the SAT problem creators are very careful to make solutions realistic. You may recognize 5 km, or 3.1 miles, to be the standard distance for a 5K, a very common race frequently ran or walked for charity or in local or school competition across the United States. A 5K can be run in 15 minutes for the fastest high school runners, or walked at a comfortable pace in less than one hour. Use this to eliminate the two answers that do not make sense.

Read on for a full solution.

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SAT/ACT problem of the week, November 10, 2016

If Sophie can run 0.03 km in 0.12 minutes, in how many minutes can Sophie run 5 km?

  1. $latex 0.15 $ (check answer)
  2. $latex 20 $ (check answer)
  3. $latex 33 \frac{1}{3} $ (check answer)
  4. $latex 45 $ (check answer)
  5. $latex 360 $ (check answer)

Solutions, hints, and questions are welcomed. A full solution will be posted on November 16th. If you would like to learn how to enter math formulas into this blog, visit the WordPress LaTeX tutorial page.

SAT/ACT problem of the week, November 03, 2016

$latex f $ and $latex g $ are functions such that $latex f(6) = 5 $ and $latex g(6) = -3 $. What is the value of $latex f(g(6)) $?

  1. $latex -15 $ (check answer)
  2. $latex 2 $ (check answer)
  3. $latex 5 $ (check answer)
  4. $latex 12 $ (check answer)
  5. It cannot be determined from the information given. (check answer)

Solutions, hints, and questions are welcomed. A full solution will be posted on October 16th. If you would like to learn how to enter math formulas into this blog, visit the WordPress LaTeX tutorial page.

SAT/ACT problem of the week, October 27, 2016 solution

Hint for process of elimination: You need to know that “integers” are the positive and negative whole numbers, “nonnegative” means the numbers are not negative, and “distinct” means the list does not repeat any numbers. If the arithmetic mean of the five numbers is 7, then either all five numbers are 7, or at least one of the numbers is greater than 7. This helps you to eliminate two choices.

Another hint: They want to know the maximum value of the largest number is. The maximum value of the largest number occurs when the other four numbers are as small as possible. So instead of searching for the largest number, choose the other four numbers as small as possible, and use that to get the largest number, or at least an idea of how large the largest number could be.

Read on for a full solution.

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SAT/ACT problem of the week, October 27, 2016

The product and average (arithmetic mean) of five distinct nonnegative integers are 0 and 7, respectively. What is the maximum value of the largest number?

  1. 5 (check answer)
  2. 7 (check answer)
  3. 19 (check answer)
  4. 29 (check answer)
  5. 35 (check answer)

Solutions, hints, and questions are welcomed. A full solution will be posted on November 2nd. If you would like to learn how to enter math formulas into this blog, visit the WordPress LaTeX tutorial page.