# 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?

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

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
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.

# 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.

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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 solution

Hint for process of elimination: $latex f(g(6))$ is a composition of functions, not an addition, subtraction, multiplication, nor division.

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