Check After: - Q10: 37-40 minutes - Q20: 17-20 minutes

Quant Flashcards by Graciela Aguilarleon

Quant Pacing

Check After:

Q10: 37-40 minutes
Q20: 17-20 minutes

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Quant Hard Question Placement

Q15-Q18

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Quant Easy Question Placement

~Q15, ~Q20s, ~Q29-31

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Verbal Pacing

Check After:

-Q20: 27-30 minutes

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Verbal Hard Question Placement

Q16-20

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Verbal Easy Question Placement

~Q16, ~Q20s, ~Q30s

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Quant Triage Questions

Multi-shape geometry questions
Combined rate or chase-down questions
Complex sequence questions
Complex standard deviation questions
3 circle overlapping questions

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Addition Number Properties

even+even=even
odd+odd=even
even+odd=odd

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Multiplication Number Properties

eveneven=even
evenodd=even
even*odd=odd

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Positive/Negative Number Properties

posneg=neg
negneg=pos
pos*pos=pos

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Triage Rules

oddball: what sticks out from the others? eliminate
repeat #: what #s in the question? eliminate
goofy math: what easy calcs appear in the answers? eliminate

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Classic Quadratics

(x+y)^2=x^2+2xy+y^2
(x-y)^2=x^2-2xy+y^2
(x+y)(x-y)=x^2-y^2

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Percent Change Formula

New-Old/Old

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Mixture Question Types

Adding one type of substance to make a new ratio:

How much vodka would you add to a 10 oz 10% vodka mix to make it 50% vodka?
-1+x/10+x=1/2
How much water would you add to a 10 oz 10% vodka mix to make it 5% vodka?
-1/10+x=1/20
How much 5% vodka/95% water mix would you add to a 10 oz 10% vodka mix to make it 25% vodka?
-1+.05x/10+x=1/4

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Divisibility Rules

2-even
3-sum of number is divisible by 3
4-last 2 digits divisible by 4
5-ends in 0 or 5
6-divisible by 2 and 3
9-sum of number is divisible by 9
10-ends in 0

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Inequality Division Rule

Dividing or multiplying by a negative switches the sign

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Squared Rule

A squared variable has 2 possible answers

DON’T divide by a variable

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2^2

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2^3

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2^4

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2^5

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2^6

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2^7

128

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2^8

256

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2^9

512

2^10

1024

1/2

0.5

1/3

0.333

1/4

0.25

1/5

0.2

1/6

0.166

1/7

0.142857

1/8

0.125

1/9

0.111

1/10

1/11

0.0909

Square Root 2

1.41421

Square Root 3

1.73205

Exponent Rules

``` multiply=add exponents divide=subtract exponents parentheses multiply=multiple exponents negative exponent=1/term x^1=x x^0=1 x^1/2=sq. rt. x x^2*y^2=(x*y)^4 can factor out exponents from equations if same bases ```

Radical Rules

break down radicals to eliminate perfect squares

Simple Interest Formula

Px(1+rt)

Compound Interest Formula

Px(1+r)^t

Average Speed Formula

Total Distance = Avg. Speed x Total Time

Combined Rate Formula

Running towards each other, combine rate and solve for t (usually)

Chase Down Formula

The distance is the head start, subtract the rates and solve for t (usually)

Work Formula

Only works with 2 entities, plug in A*B/A+B

Line Rules

``` Line angles = 180 Opposite angles equal 4 complete angles = 360 Parallel lines are equal and mirror one another Perpendicular lines = all 90 ```

Area of a triangle

1/2bh

Angles of a polygon

equal 180 (# of sides-2)

Pythagorean Triples

3-4-5, 5-12-13

30-60-90

Across from 90=2x, Across from 30=x, Across from 60=x sq. rt. 3

45-45-90

x,x,x sq. rt. 2 (hypotenuse)

Types of triangles

Isoceles = 2 sides and angles equal, Equilateral = all equal sides and angles (can be cut in half to make 2 30-60-90 triangles), Squares = made up of 2 45-45-90 triangles

Triangle Inequality Theorem

Two sides minus each other and plus each other is the range of lengths for the third side

Trapezoid Area

(B1+B2/2)H

Circle Rules

``` Angles=360 Area=πr^2 Circumference=2πr Sector area=πr(angle/360) Arc length=2πr(angle/360) ```

Triangle Inscribed in Circle

ALWAYS a right triangle

Volume Formulas

Rectangular solids=l*w*h Cube=s^3 Cylinder=πr^2h

Surface Area Formulas

Rectangles/Squares=add up area of each side | Cylinder=(h*2πr)+πr^2

Graphing rules

``` y=(slope)x+(y-intercept) x=1, slope=undefined y=1, slope=0 Parallel lines have same slope Perpendicular lines have opposite, inverse slope ```

Permutations

Multiply the possible numbers for each space, if targeting UNIQUE combinations, divide out factorial for number of each repeated item

Combinations

total(C)# to choose = first (# to choose) total factorial/# to choose factorial

Probability

want/total, want+don't want=1

Quant Flashcards

(63 cards)