SAT Math: Triangle Sides and Angles (part 2)

Following up on part 1, a harder triangles question.

Answer in the comments.

Also from SAT Unlocked II, a list of the Official SAT Study Guide (OSSG) questions that test this topic:

SAT Math: Triangle Sides and Angles (part 1)

Here are the basic SAT triangle side and angle rules you need to know, along with two example questions from SAT Unlocked II.

Answers in the comments.

Part 2

SAT Math: Cross Multiplying

To solve ratio problems, cross multiply to find missing values.

Here is an example question from SAT Unlocked II.

See answer in the comments section.

Also from SAT Unlocked II, a list of the Official SAT Study Guide (OSSG) questions that test this topic:

Marin SAT Prep Subject Test (SAT II) Course Information & Schedule

Marin SAT Prep will present small group classes in May for students planning to take SAT Subject Tests (SAT II’s) on June 5.

US History
Targets those topics, people, and events specifically tested on the SAT US History Subject Test, with special emphasis placed on the historical context students need to succeed. Students also learn important SAT test taking strategies as well as effective techniques for handling each US History question type.

Math II
Designed with the needs of advanced Math students in mind, this course covers all of the topics tested on the SAT Math II Subject Test including: advanced functions, trigonometry, logarithmic manipulation, complex equation graphing, and more. Students learn how to determine the best approach and most efficient solution for each question type, while reviewing common SAT tricks that can trip up even the sharpest Math whizzes.

Literature
Students learn how to apply the Marin SAT Prep reading strategy to poetry, plays, and advanced prose passages from the 16th century to the present day. Course includes literary and rhetorical terminology, interpretive techniques, timing and other test taking strategies.

Lessons per course:
4 (each course meets weekly for 1½ hours per lesson).

Lesson schedule:
Classes begin the week of May 10 and continue for 4 consecutive weeks.
Students register for one day & time per course.

US History:
Mondays – 4:00 pm
or
Wednesdays – 7:30 pm

Math II:
Tuesdays – 7:30 pm
or
Wednesdays – 4:00 pm

Literature:
Mondays – 7:30 pm
or
Tuesdays – 4:00 pm

Course fee per subject:
New students: $400
Returning students: $350
Course fee includes all materials.
Payment due in full at or before first lesson.

For more information and to register:

*Because class size is limited, course reservations will be honored on a first-come, first-served basis. A minimum of 3 students is required before a class time will be confirmed.

How is the SAT Organized?

The SAT is organized into 10 individually tested sections:

• 3 Writing
• 3 Critical Reading
• 3 Math
• 1 Equating (does not count toward your score).

1. The Essay always comes FIRST (SAT Section 1).
2. Next, six 25-minute multiple choice sections in random order (SAT Sections 2-7): Two Critical Reading, two Math, one Writing, and (usually) the Equating section.
3. Then two 20 minute sections (SAT Sections 8 & 9): Critical Reading and Math.
4. Finally, a 10 minute Writing section is always LAST (SAT Section 10).

The chart below shows you the total number of each question type for each SAT subject.

From my SAT training guide: SAT Unlocked.

SAT Math: Sets Terminology (w/ example)

Here are the SAT Math ‘Sets’ terms you should know.

Set questions ask you to compare overlapping groups to determine which members are in each set.

Example:

See comments for answer and explanation.

From my SAT guide SAT Unlocked, which includes a complete list of practice questions in The Official SAT Study Guide that test this SAT Math topic.

SAT Math: Numbers and Operations Terms

A chart of the Math Numbers & Operations terms you need to know for the SAT.

From my SAT training guide: SAT Unlocked.

SAT Math: When to Plug-in Numbers II (w/ examples)

Previously, we talked about the strategy of plugging in a number whenever an SAT Math question mentions a number or integer. This number plug-in strategy works equally as well for questions with equations in the answer choices – questions that are often among the hardest on the entire SAT Math section.

Whenever you see an SAT Math question with equations in the answer choices, plug in a number.

Pick a number and plug it into the question to get a value. Then plug the number into each answer choice to see which one produces the same value.

Remember:
When plugging in numbers, be sure to pick EASY numbers and ALWAYS plug in for ALL answer choices.

Example 1:

The number plug-in strategy also works great for word problems with equations in the answer choices.

Example 2:

Answers and explanations in the comments.

From my SAT guide SAT Unlocked, which includes a complete list of practice questions in The Official SAT Study Guide for which this number plug-in strategy is effective.

SAT Math: Sum of Consecutive Integers (w/ example)

Consecutive integer questions typically tell you the sum total of a group of consecutive integers and then ask you to find one of these integers.

To handle sum of consecutive integer questions:

1. First divide the sum by the number of integers to get the midpoint of the sequence.
2. Then count up or down from this midpoint to find the integer asked for by the question.

Example:

The sum of five, consecutive odd integers is 195. What is the greatest of these integers?

(A)  33
(B)  36
(C)  39
(D)  43
(E)  71

Answer in the Comments.

SAT Math: When to Plug-in Numbers (w/ example)

Plugging in numbers is a simple and very effective strategy that can help you answer many SAT Math questions, including even some of the hardest ‘Numbers and Operations’ questions.

Any time a question mentions a ‘number’ or ‘integer’, make up your own value that fits the description in the question, and then plug that value into the answer choices to see which one works.

A couple of things to remember:

Use EASY numbers.
1 (sometimes), 2, 3, 4, 5, 10, and 100 are usually best, depending on the question.

Check ALL answers
Occasionally, the number you plug in may be correct for more than one answer choice (especially if you plug in ’1′). Be sure to check all answers to make sure only one is correct. If you get more than one correct answer, plug in a different number for the remaining choices.

Example:

Answer and explanation in the Comments.

From my SAT course book SAT Unlocked, which includes a complete list of questions in The Official SAT Study Guide for which this number plug-in strategy is effective.

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