The SAT Math section consists of three major topic areas: Heart of Algebra, Passport to Advanced Math, and Problem Solving and Data Analysis.

The full ACT consists of four multiple-choice sections - in English, mathematics, reading, and science—with an optional writing section. Some colleges and universities require or accept ACT writing scores, so you may consider taking the writing section.

Content

The SAT covers math up to and including the first semester of Algebra II. Here’s how the College Board — the team of exalted creators of the SAT — describes the breakdown of the test:

• Numbers and operations (20–25%)

• Algebra and functions (35–40%)

• Geometry and measurement (25–30%)

• Data analysis, statistics, and probability (10–15%)

New Change - New Format

• Starting in the Spring of 2016, the math portion of the SAT will cover Algebra I and II, Geometry, parts of Trigonometry, and parts of Statistics. For the new exam students must also be familiar with materials typically taught in Algebra II, Trigonometry, and Statistics.

• The math portion of the SAT will consist of two sections – one 25-minute no-calculator section and one 55-minute calculator section., for a total of 80 minutes in math testing. The new PSAT/NMSQT will also include the new topics, although the SAT will test for these concepts at a higher level. The math portion of the PSAT/NMSQT will consist of two sections – one 25-minute no-calculator section and one 45-minute calculator section, for a total of 70 minutes in math testing.

• Math questions on the SAT and PSAT fall into two main categories: multiple choice (with four answer choices given) and student produced response questions. Student produced response questions, commonly referred to as “grid-ins,” require students to formulate their own answers, then enter the numeric values into a special grid. Multiple choice questions have no penalty for guessing!

Tests like the SAT measure your ability to solve challenging problems creatively and independently, not just memorize information. Many students mistakenly spend time practicing on areas that they are already strong on, and ignore their weaker areas.

In this section, I only focus on solving the most difficult questions that I think students are going to be struggling in most exams. Before challenging yourself, please give yourself a try to explore the techniques how to approach the solutions to the problems and go back to compare your answers with my solutions. Please be minded that there are always more than 1 method to arrive at the solutions. My solution is just suggested for your reference. The best way to learn advanced math is to ask yourself if you can figure out the solutions without any help and if you will be able to approach the difficult problems with many different ways.

If you look at the answer to a question before you try every time, then you make yourself dependent on me for all answers. You will not be able to do well in tests where a different tricky question is asked or it is asked in an indirect way. Please take time to think for yourself so you may learn improvisation.

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