GRE Triggers
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Right triangle with 45 or root 2 or diagonal of a squate
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find the 45 45 90 triangle
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right triangle with 30 60 or root3, a big side that is twice the small side, or height of equilateral triangle
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Find the 30 60 90 triangle
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Arc, sector or a fraction of a circle
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write formula: central angle/360 = arc/circumference = Area sector/area circle
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Shaded regions or strange looking shapes
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find familial shapes Shaded = total - unshaded draw lines (split, connect, draw radii, drop heights or otherwise play with the shape).
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overlapping figures
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find the elements the two figures have in common
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Geometry on quant comp or must be questions
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Draw the figure twice. Stretch and squash
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...percent change... ...Percent decrease/less... ...Percent increase/more...
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write formula: Percent change = (diff/orig) X 100
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...ratio
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draw a ratio box
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...average...
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Draw a pie every time the word average is used in the question
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...Median...
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Identify the list and put the numbers in order
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...speed... ...rate...
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write formula: D=R x T
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Exponents
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MADSPM rewrite using common bases. look for ways to factor.
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numbers too big to calculate
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rewrite large bases as a product of prime factors
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The phrases \"how many\", \"how much,\" \"what is the value of\" or an urge to write your own algebraic formula
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1. list answers on your scratch paper 2. label the first column 3. Assume (C) to be correct 4. Use (C) to work the problem 5. POE
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Answer choices expressed as fractions or percentages
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plug in for the unknown value or amount. If fractions. plug in common denominator. If percentages, plug in 100 for total.
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variables in the answer choices
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1. List A,B,C,D,E on scratch paper 2. Replace variable with number. 3. Work the problem. 4. Identify and circle target number. 5. Check all answer choices.
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Quant comp with variables
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1. Draw set-up 2. plug in an easy number. 3. Eliminate 2 of answers A,B and C. 4. Repeat using FROZEN.
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\"Must be\"
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1. Draw set-up 2. plug in an easy number. 3. Eliminate answer choices. 4. Repeat using FROZEN.
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...normal distribution... ...standard deviation...
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Draw the curve. Fill in the percentages.
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parallel lines
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Find and label your big and small angles
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...Area of a triangle... ...Area of a rectangle... ...Area of parallelogram...
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Write area formula on scratch paper. plug in information directly underneath.
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...Perimeter...
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Draw the shape, Label the sides, and add the sides together.
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circles
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write r d C A vertucally on scratch paper. Find radius, diameter, circumference, and area
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right triangles
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look for 45 45 90 30 60 90 and pythagorean triples (3:4:5, 6:8:10, 5:12:13)
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Factorials
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Look to factor or expand.
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Probability question asks \"at least\"
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Find the probability an event wont happen and subtract from 1.
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group problem with overlap \"both\", or \"neither\"
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Write down group formula: Total = (group 1) + (group 2) - (both) + (neither)
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group question which elements are in either one group or other (no overlap)
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draw group table
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x and x^2 in the same question or anything that looks like a quadratic
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put the equation in the form x+ bx + c = 0 underneath the equation write down (x ) (x ) = 0 Remember A.M. if necessary find every factor of c.
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question asks for the distance between two points
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draw right triangles and look for pythagorean triples
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...Slope...
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vertical change/horizontal change = delta y/delta x = rise/run = (y2-y1)/(x2-x1)
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... on a coordinate plane...
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write y = mx+b on scratch paper park the information you have directly underneath.
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...probability...
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want/total write out the sequence of events and find the probability of each event.
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Interior diagonal of a box
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a^2 + b^2 + c^2 = d^2