Topic

Quant Basics – Revision

Topic Progress:

A few definitions/ concepts/ formulae you should revise before taking your first practice GMAT:

 

    1. Integers: Numbers, such as -1, 0, 1, 2, and 3, that have no decimal (fractional) part. Integers include the counting numbers (1, 2, 3, …), their negative counterparts (-1, -2, -3, …), and 0.
    2. Factors: Positive integers that divide evenly into an integer. Factors are equal to or smaller than the integer in question. 12 is a factor of 12, as are 1, 2, 3, 4, and 6.
    3. Prime Numbers: A positive integer with exactly two factors: 1 and itself.
    4. Odd & Even Numbers: Any number divisible by 2 is even and not divisible by 2 is odd.
    5. Equations:
      • a2 – b2 = (a + b) * (a – b)
      • (a + b)2 = a2 + 2ab + b2
      • (a – b)2 = a2 – 2ab + b2
    6. Geometry
      • Interior angles of a triangle add up to 180 degrees
      • Right triangle: A triangle that includes a 90 degrees angle
      • Area of a triangle = 1/2 x base x height
      • Pythagoras theorem: p2 + b2 = h2 (used to calculate sides of a right triangle; h: longest side – side opposite the right angle)
      • Square: All 4 sides equal, all 4 angles 90 degrees; area of square = side2
      • Area of rectangle = length x width
      • Volume of a cume = side3
      • Volume of a rectangular solid = length x width x height
      • Area of a circle = pi x r2 (Where pi is a constant ~3.14, r is the radius of the circle)
      • Distance = Rate x Time (rate, or speed, measured in units of distance per unit of time)