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Maths Formule

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Formale for maths
EmilyRedlaff
Mapa Mental por EmilyRedlaff, actualizado hace más de 1 año
EmilyRedlaff
Creado por EmilyRedlaff hace casi 11 años
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Maths Formule
  1. Pythagoras Theorem
    1. A2 + B2 = C2
    2. Percentage Increase
      1. Price x Multiplier to the power of years
      2. Cumulative Frequency
        1. Addition of Frequencies (ongoing)
        2. Trigonometry
          1. SOHCAHTOA
            1. Sin, Opposite, Hypotenuse
              1. Cos, Adjacent, Hypotenuse
                1. Tan, Opposite, Adjacent
                  1. Theta= cos/tan/sin to the -1 (fraction)
                2. Area and Volume of Similar Shapes
                  1. Area Scale Factor= (length scale factor)2
                    1. Volume Scale factor= (length scale factor)3
                    2. Direct Proportion
                      1. y oc x
                        1. y= kx
                          1. Inverse Proportion
                            1. y oc 1/x
                              1. y= k/x
                            2. Negative and fractional indicies
                              1. 2 to the power of -1= 1/2 to the power of 1= 0.5
                                1. Rule: a to the -n= 1/a to the power of n
                                  1. 5, square root, n= n 1/5
                                2. Equation of a straight line
                                  1. y= mx + c
                                    1. m= gradient
                                      1. c= where it crosses the y axis (y intercept)
                                    2. Factorise expressions of the form x2-b2
                                      1. Rule: x2-a2 factorises to (x+a)(x-a)
                                      2. Reverse Percentages
                                        1. Original amount= new amount/ multiplier
                                          1. New amount= original amount x multiplier
                                          2. Midpoint of a line
                                            1. For coordinates (a,b) and (c,d)...
                                              1. (a+c divided by 2, b+d divided by 2)
                                            2. Quartiles
                                              1. median= half way
                                                1. upper quartile= 3/4
                                                  1. lower quartile= 1/4
                                                  2. Difference between two points
                                                    1. (all in a square root) --> (change in x)2 + (change in y)2 + (change in z)2
                                                    2. Frequency Density
                                                      1. Frequency/ width of group
                                                      2. Upper and Lower bounds
                                                        1. When multiplying--> to find upper bound= multiply the upper bounds. To find lower bound, multiply by lower bounds
                                                          1. When dividing--> to find upper bound= divide the upper bound by the lower bound. To find lower bound= divide the lower bound by the upper bound
                                                          2. Sine Rule
                                                            1. a/ SinA= b/SinB= c/SinC
                                                              1. SinA/a = SinB/b = SinC/c
                                                                1. Cosine Rule
                                                                  1. c2= a2 + b2 - 2abCosC
                                                                    1. CosC= a2 + b2 - c2/ 2ab
                                                                2. Area of a triangle
                                                                  1. 1/2 base x height
                                                                    1. Area of triangle ABC= 1/2 acSinB, 1/2 bcSinA, 1/2 abSinC
                                                                    2. The length of an arc
                                                                      1. Theta/ 360 x pie x diametre
                                                                        1. Area of a sector
                                                                          1. Theta/ 360 x pie x radius squared
                                                                        2. Volume of a prism
                                                                          1. area of cross section x height
                                                                            1. Volume of a cone
                                                                              1. 1/3 pie x radius squared x height
                                                                                1. Volume of a sphere
                                                                                  1. 4/3 x pie x radius cubed
                                                                              2. Surface area of a cone
                                                                                1. Curved surface area= pie x radius x length
                                                                                  1. Total surface area= (pie x radius x length) + (pie x radius squared)
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