GRE Math 2

  Review for Final Exam Practice Set in Book (Chapter 19)   Structure of Final: 2 parts – Kaplan & ETS = 50 questions total Kaplan – 25 questions: Probability & Statistics – 7; Permutations & Combinations – 5; Problem Solving (Word Problems) – 6; Quantitative Comparison – 7. ETS – 25 questions: Quantitative Comparison – 9; Problem Solving – 12; Data Interpretation – 4   The Final Exam will cover all areas of math on the syllabus: arithmetic and number properties, data analysis (statistics & probability, permutations & combinations), algebra, geometry, and the different special question types of the GRE and the GMAT (Quantitative Comparison and Data Sufficiency ), as well as the special answer types of the GRE (Multiple Choice, Numeric Entry, Select All that Apply). Review your strategies and formulas, USE your scratch paper for partial credit, and show me your flash cards for bonus points! Strategy Review ·     ...

Chapter 11: Math Foundations – Ratios and Math Formulas Review   Ratios Fractions Treating ratios as fractions is the easiest way to make comparisons. Imagine a picture comparing parts to the whole.   Equivalent Fractions Multiply the numerator and the denominator by the same number (1/1 = 2/2 = 3/3 etc.) to create the equivalent fraction. Divide by the same number to reduce the fraction to lowest terms.   Reducing (Canceling) Since most fractions on the GRE are given in lowest terms, it is useful to cancel where possible. Adding and Subtracting Fractions Fractions must have the same denominator to add or subtract the numerators. The least common denominator is the best choice.   Multiplying Fractions Multiplying fractions requires you to multiply numerator to numerator and denominator to denominator.   Reciprocals Invert the fraction – turn it upside-down – to get the reciprocal. The reciprocal of a whole number is a fractio...

Week 6, Day 2   Chapter 10: Math Foundations – Arithmetic and Number Properties Review   I will not include all the terms listed at the beginning of the chapter here, but suffice it to say that this is math vocabulary you need to memorize. Note important distinctions between kinds of numbers (integers, fractions/decimals, etc.) and especially take note of the different names of place value in a given number. U.S. English gives different place values from U.K. English when it comes to large values like millions (1,000,000) and billions (1,000,000,000). The symbols commonly used on the GRE are listed right after the terms.     Rules of Operation If you do not follow the correct order of operations, you will get incorrect answer. PEMDAS is the acronym we use to memorize these rules. The order goes: first do what is inside Parentheses, and next do any Exponents (or roots), and third you can do either or both Multiplication and Division from left to right,...

Chapter 15: Math Foundations – Geometry Review So many formulas! Remember: memorization works best with repetition. Make some flash cards! On paper! You can get bonus points in my class this way!   Lines and Angles Lines are geometric abstractions, only represented by the image; they are actually infinitely long and have no width. A straight line is the shortest distance between two points. They are named by those points. Line segments are finite portions of lines, also named by two points.   Parallel lines never intersect and are indicated with two pipes: || A vertex (pl. vertices) is where two lines intersect to form an angle . An angle can be named by the angle itself, or by a combination of the three points that form the lines and the vertex.   Sum of angles around a point The sum of angles around a single point is 360 degrees.   Sum of angles along a straight line Along a straight line, in contrast, the sum of the angles is one ...

Chapter 12: Math Foundations – Algebra Review Memorize: ·        Algebraic terms o    Variable – letters representing unknown quantities o    Constants – numbers not multiplied by any variable o    Terms – constants and products of constants and variables o    Product – result of multiplication o    Coefficient – the constant in front of a variable; if no number is visible, the coefficient is understood to be 1 o    Algebraic expression – any mathematical expression (‘sentence’) containing one or more constants, variables, and possibly one or more operation symbols (e.g., +- etc.) o    Monomial – algebraic expressions with a single term (no spaces or operators, e.g., 2, 3a, 4xyz, etc.) o    Polynomial – algebraic expressions with more than one term (combined with operators and spaces, e.g., 2 + 3a, etc.) §   Binomial – has exactly two terms §   ...