# 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 $360\textdegree$. It also helps to know that supplementary angles two angles whose measures add to \$latext 360\textdegree\$.

Read on for a full solution.

# 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 $360 \textdegree$
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, October 20, 2016

There are 15 classrooms in Sunny Skies High School, numbered 1 through 15. Between classrooms 1 through 10, there are 250 math textbooks. Between classrooms 6 through 15 there are 300 math textbooks. Which of the following could be the total number of math textbooks in classrooms 1 through 15?

1. 400
2. 500
3. 600
3. I and II only (check answer)
4. II and III only (check answer)
5. I, II, and III (check answer)

Solutions, hints, and questions are welcomed. A full solution will be posted on October 26th. 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 20, 2016 solution

Hint for process of elimination: Draw a fast picture of the rooms and try to distribute the books in a way that gives you a total of 400, 500, and 600 books. You may quickly realize that there cannot be a total 600 books in these classrooms, and you may also gain enough intuition about this situation to solve the problem.

Read on for a full solution.

# SAT problem of the week, December 08, 2014 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 $360\textdegree$. It also helps to know that supplementary angles two angles whose measures add to \$latext 360\textdegree\$.

Read on for a full solution.

# 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 $360 \textdegree$
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 problem of the week, October 20, 2014 solution

Hint for process of elimination: Draw a fast picture of the rooms and try to distribute the books in a way that gives you a total of 400, 500, and 600 books. You may quickly realize that there cannot be a total 600 books in these classrooms, and you may also gain enough intuition about this situation to solve the problem.

Read on for a full solution.

# SAT problem of the week, October 20, 2014

There are 15 classrooms in Sunny Skies High School, numbered 1 through 15. Between classrooms 1 through 10, there are 250 math textbooks. Between classrooms 6 through 15 there are 300 math textbooks. Which of the following could be the total number of math textbooks in classrooms 1 through 15?

1. 400
2. 500
3. 600