Math
4 types of Questions: 1. Problem Solving  multiple choice 2. Multiple Answer  Multiple choice with multiple correct answer choices 3. Numeric Entry  no answer choices provided 4. Quantitative Comparison  4 answer choices to choose from (A is larger, B is larger, the 2 are equal, solution can't be determined) 
Mental Math Tips:
Dividing by 5: Double the # you want to divide, then divide this number by 10. 
Quick mental multiplication: If multiplying with a large number, factor a 2 out of the large number and multiply it by the smaller number. Factoring out the 2 numbers you want to multiply can help simply the calculation. Ex) 260 x 15 = (2)(15)(130) = (30)(10)(13)=(3)(10)(10)(13)= 3900}} 
Squaring Shortcuts: 1. Multiples of ten: square the nonzero part of the number you want to square 2. Numbers ending in 5: The last 2 digits of the square will always be 25; remove the 5 and add 1 to the remaining digit (n), find the product of this number (n+1) and the nonfive number (n) 3. Figuring out the square of (n+1): If we know n^{2}, (n+1)^{2} = n + (n+1) + n^{2} 
Multiples of 10: If multiplying by 10: move decimal to the right If dividing by 10: move decimal to the left 
Numbers can't be divided by 0 
0 divided by any number = 0 
Quantitative Comparison
Strategies: 1. You will only ever need to be able to estimate solutions; use math to simplify relationships between the 2 choices presented 2. Add or subtract X to both choices 3. Multiply or divide by a positive number 4. You can decrease numerator or increase denominator to simplify fractions for estimation 
Rounding
There is an infinite quantity of numbers between any 2 numbers on a number line. 
Integer
A number written without a fractional component {nl}} Ex) 21, 0, 2100 
Examples of nonintegers: 9.75, 5 1/2, 2^{1/2} 


Properties of Real Numbers
Assume a number is real if the questions refers to a "number". 
Real Number: all numbers on the number line (positive, negative, or zero); can also include decimals 
Zero: is neither positive or negative; the absolute value of zero = zero 
Absolute value: the distance of a number from zero (origin on the number line) 
Order of Operations: PEMDAS
Grouping Symbols: parentheses, brackets, square root sign, long fraction bar, exponents written as equations (ie x^{y+7}) 
Word Problems
Key Words: 1. Is = equals 2. Of = multiply 
Data Interpretation
1. Read all relevant text. 
2. Look at axis labels 
3. Look for trends in data: Repeated patterns, highs vs lows, increase vs decrease 
4. Pay attention to units mentioned in the question: they might not match the units on the graphs! 
Types of graphs: 1. Pie chart  usually paired with another chart 2. Line graph: usually has a horizontal axis (time) 3. Bar graph: bars will usually represent a category or interval of time 4. Scatter plot: used when each data point can be described by 2 numerical measurements. Positive correlation: if 1 variable increases, then the other will too. 
Profit = Revenue  Loss 
Remainder Problems
If the dividend is less than the divisor, then the remainder will be equal to the dividend. This is always the smallest positive dividend with this remainder. 
Percents
The test likes to ask about % increase or decrease. 
Simple interest: Unlikely to asked on test, but useful for making estimations. Concept where interest only paid on principle. Numbers will rise on a constant slope. 
Compound Interest: Interest paid on principle & interest previously accrued. No 2 consecutive payments will be the same. Ex) $1000 deposited into account with 5% compound interest. Year 1 = $1000(1.05) = $1050 Year 2 = $1050(1.05) = $1102.50 
Ratios
When presented with a ratio problem, find a common variable between the 2 ratios. 




