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# Tag Archives: Three Roman Numerals

# 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 $latext 360\textdegree$.

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?

- The sum of the six angles is $latex 360 \textdegree $
- All six angles are congruent to each other.
- Any pair of adjacent angles is supplementary

- I, only (check answer)
- II, only (check answer)
- I and II, only (check answer)
- I and III, only (check answer)
- 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?

- 400
- 500
- 600

- I only (check answer)
- II only (check answer)
- I and II only (check answer)
- II and III only (check answer)
- 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 $latex 360\textdegree$. 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?

- The sum of the six angles is $latex 360 \textdegree $
- All six angles are congruent to each other.
- Any pair of adjacent angles is supplementary

- I, only (check answer)
- II, only (check answer)
- I and II, only (check answer)
- I and III, only (check answer)
- 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?

- 400
- 500
- 600

- I only (check answer)
- II only (check answer)
- I and II only (check answer)
- II and III only (check answer)
- 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.