Tag Archives: ACT

SAT/ACT problem of the week, December 29, 2016 solution

Hint for process of elimination: The largest part of the student body population consists of girls. Therefore, the population of girls is greater than $latex \dfrac{1}{3} $, or 33.3%, of the total population. This at least eliminating choice A. But the ratio of girls to girls plus boys is $latex \dfrac{150\%}{150\%+100\%}=3/5$, or 60%. Therefore the population of girls is under 60%. That at least eliminates both D and E. Answer C is too nice for this particular complex situation, and is also meant to draw your eye since the number $Latex 50\% $ appears twice in the problem, so I lean towards B.

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SAT/ACT problem of the week, December 29, 2016

The Funny Clowns High School student body consists of human boys, human girls, and chimpanzees of undetermined gender. The number of girls is 50% more than the number of chimpanzees. The number of chimpanzees is 50% more than the number of boys. What percentage of the student body is girls?

  1. 25% (check answer)
  2. 47% (check answer)
  3. 50% (check answer)
  4. 77% (check answer)
  5. 90% (check answer)

Have a solution? Hint? Question? We’d love to hear from you. A full solution will be posted on January 4th. If you would like to learn how to enter fancy math formulas into this blog, visit the WordPress LaTeX tutorial page.

SAT/ACT problem of the week, December 22, 2016 solution

Hint for process of elimination: First, pay close attention to which set is contained in which set and their pairwise relative size. This can help you get a good estimate of what the answer to this question is, or possibly lead you to the exact answer. Second, draw a picture of this system. That might give you a visual representation of how large set A is compared to set C. Third, the answer choices range from a low of 4% to a high of 96%. This massive range in percent values is about as big as a range can or will get on an SAT. Enormous differences in sizes of the answer choices should allow you to eliminate some of them. Fourth, The answer should be lower than 20%, so use that to eliminate choices.

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SAT/ACT problem of the week, December 22, 2016

Set A is 20% of set B, and set B is 20% of set C. What percent of set C is set A?

  1. 4% (check answer)
  2. 5% (check answer)
  3. 10% (check answer)
  4. 40% (check answer)
  5. 96% (check answer)

Have a solution? Hint? Question? Drop it below. We’d love to hear from you. A full solution will be posted on December 30th. 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, December 15, 2016 solution

Hint for process of elimination: It can help you to draw boxes, where each box represents $latex \dfrac{1}{2} $ hour. Write the number 20 in each box until you get to 150 pictures. Then just count boxes.

It will also help you to think intuitively about this problem. You know how time works, and you know what twenty doggy pictures looks like. Approximate. How many half hour time slots will it take to draw 150 doggies?

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SAT/ACT problem of the week, December 15, 2016

Miguelina draws 20 doggy pictures in $latex \dfrac {1}{2} $ hour. At this rate, how many hours does it take to Miguelina to draw 150 doggy pictures?

  1. 0.067 (check answer)
  2. 3 (check answer)
  3. 3.75 (check answer)
  4. 5 (check answer)
  5. 75 (check answer)

Have a solution? Hint? Question? Drop it below. We’d love to hear from you. A full solution will be posted on December 20th. 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, December 08, 2016 solution

Hint for process of elimination: Go through each of the three statements individually and consider them for validity. Remember that the angles measure of a full circle is $latex 360\textdegree$. It also helps to know that supplementary angles two angles whose measures add to $latext 360\textdegree$.

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SAT problem of the week, December 08, 2014

Six adjacent angles

In the diagram of six adjacent angles shown above, which of the following must be true?

  1. The sum of the six angles is $latex 360 \textdegree $
  2. All six angles are congruent to each other.
  3. Any pair of adjacent angles is supplementary
  1. I, only (check answer)
  2. II, only (check answer)
  3. I and II, only (check answer)
  4. I and III, only (check answer)
  5. I, II, and III (check answer)

Have a solution? Hint? Question? Drop it below. We’d love to hear from you. A full solution will be posted on December 14th. 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, December 01, 2016 solution

Hint for process of elimination: Whenever an SAT gives a question that is realistic, it attempts to make sure that the solution is realistic. Therefore, if you happen to know anything about New York City, use that.

Also, notice that the ratio of the population of NYC to the population of the rest of New York is $latex 8:11 $. That means that a bit less than half of all New Yorkers live in New York City. Therefore, you should expect the answer to be a little under $latex 50\% $. That leaves one or maybe two choices.

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SAT/ACT problem of the week, December 01, 2016

The ratio of the population of New York City to the population of the rest of New york is $latex 8:11 $. What percentage of the population of New York lives in New York City?

  1. $latex 27.2\% $ (check answer)
  2. $latex 37.5\% $ (check answer)
  3. $latex 42.1\% $ (check answer)
  4. $latex 57.9\% $ (check answer)
  5. $latex 72.7\% $ (check answer)

Have a solution, hint or question? Share it with us! A full solution will be posted on December 7th. If you would like to learn how to enter math formulas into this blog, visit the WordPress LaTeX tutorial page.