GMAT QUANT
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66 terms
Terms | Definitions |
|---|---|
 Number of degrees in a circle | 360 |
| Number of degrees in a straight line | 180 |
| Area of a triangle | (1/2)(b)(h) |
| An isosceles triangle has... | two equal sides and two equal angles |
| (f) Area of a parallelogram | (b)(h) |
| (f) Area of a circle | (π)(r²) |
| (f) Circumference of a circle | (2)(π)(r) |
| (f) Volume of a rectangular solid | (l)(w)(h) |
| (f) Volume of a cube | s³ |
| (f) Volume of a cylinder | (π)(r²)(h) |
| ratio for sides of a 30-60-90 triangle | x-x√3-2x |
| ratio for sides of a 45-45-90 triangle | x-x-x√2 |
| (f) Pythagorean theorem | a²+b²=c² |
| Degrees of a x-x√3-2x triangle | 30-60-90 |
| Degress of a x-x-x√2 triangle | 45-45-90 |
| (f) Sum of interior angles of a polygon | 180(n-2) n=number of sides |
| Definition of RATE | distance/time OR amount of work/time |
| Definition of MEAN | the average |
| Definition of MODE | the number that occurs most frequently |
| Definition of MEDIAN | the middle number |
| Definition of CONVEX POLYGON | A polygon with interior angles that measure less than 180 degrees. |
| (f) Perimeter of a polygon | sum of the lengths of its sides |
| Name of the side of a triangle opposite the right angle | hypotenuse |
| What is a quadrilateral with two sides that are parallel? | trapezoid |
| (f) Area of a trapezoid | 1/2 (sum of bases)(height) |
| What is a chord of a circle? | a line segment that has its endpoints on the circle |
| (f) Length of an arc of a circle | x / 360 x=angle between two circle radius |
| (d) A line that has exactly one point in common with circle | tangent |
| (d) What is an inscribed polygon? | Each vertex of the polygon lies on a circle |
| (d) What is a circumscribed circle? | A circle containing a polygon where each vertex of the polygon touches the circle |
| (d) What is a circumscribed polygon? | A polygon that has each side tangent to a circle. The circle is in the polygon. |
| (d) What is an inscribed circle? | A circle that is contained by a polygon. Each side of the polygon is tangent to the circle. |
| (d) What type of triangle can be inscribed in a circle so that one of its sides is a diameter of the circle? | A right triangle |
| (f) How do you determine the distance between 2 points in a coordinate plane? | Draw a triangle and use the Pythagorean theorem |
| (f) Formula for slope of a line | m=(y₁- y₂)/(x₁- x₂) |
| (d) What is the y-intercept? | The point where a line intersects the y-axis. |
| (d) What is the x-intercept? | The point where a line intersects the x-axis. |
| What direction does a negative line slope slant? | Downward from left to right |
| (f) Quadratic polynomial function and purpose | f(x) = x² - 1 Typically used to find coordinates (x, f(x)) |
| (d) What is a proportion? | A statement that two ratios are equal. Ex. 2/3 is proportional to 8/12 |
| (d) What is the range for a series of numbers? | The greatest value in the set minus the least value. |
| How do you determine the standard deviation for a set of numbers? | 1 - Find the mean 2 - Find the differences between the mean and each of the n numbers 3 - Square each of the differences 4 - Find the average of the squared differences 5 - Take the nonnegative square root of the average |
| 0! | 1 |
| 1! | 1 |
| 2! | 2 |
| 3! | 6 |
| 4! | 24 |
| 5! | 120 |
| 6! | 720 |
| 7! | 5040 |
| (d) Factorial n! | The product of all positive integers less than or equal to n i.e. (n)(n-1)(n-2)...(1) |
| Rule for multiplying exponents [ (x⁴)(x³)= ] | Add exponents (x⁷) |
| Rule for dividing exponents (x⁸ / x⁵=...) | Subtract exponents (x³) |
| Rule for raising to a power [ (x³)² =] | Multiply exponents (x⁶) |
| x⁰ = | 1 |
| A fraction between 0 and 1 raised to a positive integer is... | smaller than the original fraction |
| (a√r )(b√s) = | (ab)(√(rs)) |
| The square root of a fraction between 0 and 1 is... | greater than the original fraction |
| Is 0 Positive or Negative? | It is neither |
| + Plus + = ? | + |
| + Minus - = ? | + |
| - Plus - = ? | - |
| - Minus + = ? | - |
| How to find all common factors of two numbers | Break down both numbers to their prime factors to see what factors they have in common. Multiply shared prime factors to find all common factors |
| Simple Probability | (# of favorable outcomes)/(# of possible outcomes) |
| Gross Profit | Selling Price - Cost |
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