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GMAT QUANT LEARNING STRATEGY - CUBIC RUBIC / TIPS, TRAPS & TRICKS

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GMAT QUANT LEARNING STRATEGY - CUBIC RUBIC / TIPS, TRAPS & TRICKS  [#permalink]

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New post Updated on: 06 Oct 2018, 06:05
1

GMAT QUANT LEARNING STRATEGY - CUBIC RUBIC


TIPS, TRAPS & TRICKS


hey everyone,
i am going to beef this thread up with all GMAT quant useful and practical recourses for those who are struggling with quant, including me :lol:
cheers,
Dave :)

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GMAT STRATEGY.jpg
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COLOR CODING (MARKING/HIGHLIGHTING) FOR BETTER ANALYSIS, ORGANISATION AND STRATEGY



testing colors :)



    Yellow → In yellow will be highlighted important points, facts, etc

    Pink → Pink will used to denote material that is even more important than what’s in yellow; the material that summarizes sections, explains the significance of the section, or provides definitions.

    Blue → Blue will used for words that will subsequently be defined (and then put their definitions in pink), titles or special terms.

    Green → Green will be used for formulas.

    Purple → If the material contains any rules, the boldness of purple will be used.

    Red → Traps and tricks to remember


Overview of Topics



1. Number Properties
2. Fractions, Decimals, Ratios and Proportions
4. Percents and Interest
3. Divisibility/Multiples/Factors
4. Remainders
5. Algebra
6. Exponents and Roots of Numbers
7. Inequalities
8. Absolute Value
9. Combinatorics and Probability
10. Statistics
11. Sequences
12. Distance/Rate Problems
13. Work/Rate Problems
14. Overlapping Sets
15. Geometry
16. Coordinate Geometry


Cases

Basic Case

Tricky Case

Originally posted by dave13 on 04 Oct 2018, 12:42.
Last edited by dave13 on 06 Oct 2018, 06:05, edited 35 times in total.
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Re: GMAT QUANT LEARNING STRATEGY - CUBIC RUBIC / TIPS, TRAPS & TRICKS  [#permalink]

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New post 04 Oct 2018, 12:57
1
May want to consider putting it into the General gmat forum.


Thx for starting this
BB.

Posted from my mobile device
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GMAT QUANT LEARNING STRATEGY - CUBIC RUBIC / TIPS, TRAPS & TRICKS  [#permalink]

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New post 11 Oct 2018, 12:00
Coordinate Geometry
:)
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GMAT QUANT LEARNING STRATEGY - CUBIC RUBIC / TIPS, TRAPS & TRICKS  [#permalink]

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New post Updated on: 26 Dec 2018, 08:17
GEOMETRY



Math Formulas for Geometric Shapes



Special Right Triangle: 30º-60º-90º


Congruent 30º-60º-90º triangles are formed when an altitude is drawn in an equilateral triangle. Remember that the altitude in an equilateral triangle will bisect the angle and is the perpendicular bisector of the side. If the side of the equilateral triangle is set to a length of 2 units, the Pythagorean Theorem will find the length of the altitude to be units

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Pattern Formulas:

Short Leg is half of the Hypotenuse: \(SL = \frac{1}{2}H\)

Long Leg is half the Hypotenuse: \(LL = \frac{1}{2}* H * \sqrt{3}\)

Combining the two formulas above: \(LL = SL* \sqrt{3}\)


Special Right Triangle: 45º-45º-90º


Our first observation is that a 45º-45º-90º triangle is an "isosceles right triangle". This tells us that if we know the length of one of the legs, we will know the length of the other leg. This will reduce our work when trying to find the sides of the triangle. Remember that an isosceles triangle has two congruent sides and congruent base angles (in this case 45º and 45º).


Congruent 45º-45º-90º triangles are formed when a diagonal is drawn in a square. Remember that a square contains 4 right angles and its diagonal bisects the angles. If the side of the square is set to a length of 1 unit, the Pythagorean Theorem will find the length of the diagonal to be units.


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Surface Area and Volume of a Cylinder


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Surface Area and Volume of a Cone


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Surface Area and Volume of a Rectangular Prism


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Surface Area and Volume of a Pyramid


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Surface Area and Volume of a Prism


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Area of a Circle Sector


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Area Circle Sector Area .jpg
Area Circle Sector Area .jpg [ 42.16 KiB | Viewed 170 times ]


Area and Perimeter of a Parallelogram


The parallelogram has two sets of opposite sides that run parallel to one another. The shape is a quadrangle, so it has four sides: two sides of one length (a) and two sides of another length (b).
To find out the perimeter of any parallelogram, use this simple formula:
Perimeter = 2a + 2b

When you need to find the area of a parallelogram, you will need the height (h). This is the distance between two parallel sides. The base (b) is also required and this is the length of one of the sides.
Area = b x h

Keep in mind that the b in the area formula is not the same as the b in the perimeter formula. You can use any of the sides—which were paired as a and b when calculating perimeter—though most often we use a side that is perpendicular to the height.


Area and Perimeter of a Rectangle


The rectangle is also a quadrangle. Unlike the parallelogram, the interior angles are always equal to 90 degrees. Also, the sides opposite one another will always measure the same length.
To use the formulas for perimeter and area, you will need to measure the rectangle's length (l) and its width (w).
Perimeter = 2h + 2w
Area = h x w


Area and Perimeter of a Square


The square is even easier than the rectangle because it is a rectangle with four equal sides. That means you only need to know the length of one side (s) in order to find its perimeter and area.
Perimeter = 4s
Area = s2


Area and Perimeter of a Trapezoid


The trapezoid is a quadrangle that can look like a challenge, but it's actually quite easy. For this shape, only two sides are parallel to one another, though all four sides can be of different lengths. This means that you will need to know the length of each side (a, b1, b2, c) to find a trapezoid's perimeter.
Perimeter = a + b1 + b2 + c
To find the area of a trapezoid, you will also need the height (h). This is the distance between the two parallel sides.


Area and Perimeter of a Hexagon


A six-sided polygon with equal sides is a regular hexagon. The length of each side is equal to the radius (r). While it may seem like a complicated shape, calculating the perimeter is a simple matter of multiplying the radius by the six sides.
Perimeter = 6r
Figuring out the area of a hexagon is a little more difficult and you will have to memorize this formula:
Area = (3√3/2 )r2
Area = 1/2 (b1 + b2) x h

Area and Perimeter of an Octagon

A regular octagon is similar to a hexagon, though this polygon has eight equal sides. To find the perimeter and area of this shape, you will need the length of one side (a).

Perimeter = 8a

Area = ( 2 + 2√2 )a2

Originally posted by dave13 on 11 Oct 2018, 12:28.
Last edited by dave13 on 26 Dec 2018, 08:17, edited 21 times in total.
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GMAT QUANT LEARNING STRATEGY - CUBIC RUBIC / TIPS, TRAPS & TRICKS  [#permalink]

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New post Updated on: 16 Dec 2018, 09:58
INEQUILITES AND ABSOLUTE VALUES


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Absolute Values .png
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The value of y, which is |x|, is ALWAYS more than or equal to zero

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graph_modulus.png
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Absolute Values patterns MUST READ https://gmatclub.com/forum/gmat-questio ... 50327.html


ABSOLUTE VALUES AND RADICALS


https://www.brightstorm.com/math/algebr ... te-values/

• \(\sqrt{x^2}=|x|\), when \(x\leq{0}\), then \(\sqrt{x^2}=-x\) and when \(x\geq{0}\), then \(\sqrt{x^2}=x\)

• When the GMAT provides the square root sign for an even root, such as \(\sqrt{x}\) or \(\sqrt[4]{x}\), then the only accepted answer is the positive root.

That is, \(\sqrt{25}=5\), NOT +5 or -5. In contrast, the equation \(x^2=25\) has TWO solutions, +5 and -5. Even roots have only a positive value on the GMAT.



Well Explained Examples:

https://gmatclub.com/forum/if-x-x-2-whi ... l#p2086503


https://gmatclub.com/forum/if-x-3-12-13 ... l#p2152286


https://gmatclub.com/forum/different-me ... l#p2130767


https://gmatclub.com/forum/if-x-1-2x-1- ... s#p2191555

Originally posted by dave13 on 15 Dec 2018, 03:56.
Last edited by dave13 on 16 Dec 2018, 09:58, edited 5 times in total.
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GMAT QUANT LEARNING STRATEGY - CUBIC RUBIC / TIPS, TRAPS & TRICKS  [#permalink]

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New post 15 Dec 2018, 05:30
Wavy Curve Method
:)


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GMAT QUANT LEARNING STRATEGY - CUBIC RUBIC / TIPS, TRAPS & TRICKS   [#permalink] 15 Dec 2018, 05:30
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