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# Math L2

### SAT Math

Question | Answer |
---|---|

Distance | Time/Rate |

Work Done | Rate of Work x Time |

Average Speed | Total Distance/Total Time |

Area of an Equilateral Triangle | [s^2 rt(3)]/4 |

Area of a Triangle | (ab sin x)/2 |

Area of a Parallelogram | ab sin x |

Area of a Square | d^2/2 |

Area of a Trapezoid | h(b1+b2)/2 |

Sum of Angles in a Polygon with n sides | 180(n-2) |

Sector | Area (degree/360) |

Arc | Circumference (degree/360) |

SA of Cub | 6s^2 |

Face Diagonal of a Cube | s rt(2) |

Long Diagonal of a Cube | s rt (3) |

Volume of Cylinder | pi r^2 h |

SA of Cylinder | 2 pi r^2 + 2 pi rh |

Volume of a Cone | (pi r^2 h)/3 |

SA of a Cone | pi rl + pi r^2, where l = slant height |

Volume of a Sphere | 4/3 pi r^3 |

SA of a Sphere | 4 pi r^2 |

Volume of a Pyramid | Bh/3 |

Distance Formula | rt[(x2-x1)^2+(y2-y1)^2] OR rt[(x2-x1)^2+(y2-y1)^2+(z2-z1)^2] |

Midpoint | [(x1+x2)/2, (y1+y2)/2] |

Parabola Axis of symmetry | x=b/2a |

Parabola Vertex x-coordinate | -b/2a |

Standard Form of Equation of Circle | (x-h)^2+(y-h)^2=r^2 |

General Equation of an Ellipse | (x-h)^2/a^2 + (y-k)^2/b^2 = 1, where (h,k) is the centre of the ellipse, the width is 2a and the height is 2b. |

General Equation of a Hyperbola | (x-h)^2/a^2 - (y-k)^2/b^2 = 1 |

Degrees vs. Radians | degrees/360 = radians/2pi |

Sine Law | sinA/a = sinB/b = sinC/c |

Cosine Law | c^2=a^2+b^2-2ab cosC |

Polar Coordinates | (r,theta) |

Standard Deviation | A measure of the set's variation from its mean |

Probability | # outcomes that are x / total number of possible outcomes |

nth term of an arithmetic sequence | an=a1+(n-1)d |

Permutation | An arrangement of objects in a definite order |

Combination | Groupings in which order is not important |

Group Problem Formula | Total = Group 1 + Group 2 + Neither - Both |

Sum of the First n Terms of an Arithmetic Sequence | n[(a1+a2)/2] |

Summation | (or series) is a list of numbers to be added together; first plug in thee number before the sigma, then do the same for every integer p to the number above the sigma. Add up the results. |

The nth Term of a Geometric Sequence | an = a1 r^(n-1) |

Sum of the First n Terms of a Geometric Sequence | [a1 (1-r^n)]/(1-r) |

Sum of an Infinite Geometric Sequence | a1/(1-r) for -1<r<1 |