2271837
Description
Mind Map by EmilyRedlaff, updated more than 1 year ago
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Created by EmilyRedlaff
over 9 years ago
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Maths Formule
- Pythagoras Theorem
- A2 + B2 = C2
- A2 + B2 = C2
- Percentage Increase
- Price x Multiplier to the power of years
- Price x Multiplier to the power of years
- Cumulative Frequency
- Addition of Frequencies (ongoing)
- Addition of Frequencies (ongoing)
- Trigonometry
- SOHCAHTOA
- Sin, Opposite, Hypotenuse
- Cos, Adjacent, Hypotenuse
- Tan, Opposite, Adjacent
- Theta= cos/tan/sin to the -1 (fraction)
- Sin, Opposite, Hypotenuse
- SOHCAHTOA
- Area and Volume of Similar Shapes
- Area Scale Factor= (length scale factor)2
- Volume Scale factor= (length scale factor)3
- Area Scale Factor= (length scale factor)2
- Direct Proportion
- y oc x
- y= kx
- Inverse Proportion
- y oc 1/x
- y= k/x
- y oc 1/x
- y oc x
- Negative and fractional indicies
- 2 to the power of -1= 1/2 to the power of 1= 0.5
- Rule: a to the -n= 1/a to the power of n
- 5, square root, n= n 1/5
- Rule: a to the -n= 1/a to the power of n
- 2 to the power of -1= 1/2 to the power of 1= 0.5
- Equation of a straight line
- y= mx + c
- m= gradient
- c= where it crosses the y axis (y intercept)
- m= gradient
- y= mx + c
- Factorise expressions of the form x2-b2
- Rule: x2-a2 factorises to (x+a)(x-a)
- Rule: x2-a2 factorises to (x+a)(x-a)
- Reverse Percentages
- Original amount= new amount/ multiplier
- New amount= original amount x multiplier
- Original amount= new amount/ multiplier
- Midpoint of a line
- For coordinates (a,b) and (c,d)...
- (a+c divided by 2, b+d divided by 2)
- (a+c divided by 2, b+d divided by 2)
- For coordinates (a,b) and (c,d)...
- Quartiles
- median= half way
- upper quartile= 3/4
- lower quartile= 1/4
- median= half way
- Difference between two points
- (all in a square root) --> (change in x)2 + (change in y)2 + (change in z)2
- (all in a square root) --> (change in x)2 + (change in y)2 + (change in z)2
- Frequency Density
- Frequency/ width of group
- Frequency/ width of group
- Upper and Lower bounds
- When multiplying-->
to find upper bound=
multiply the upper
bounds. To find lower
bound, multiply by
lower bounds
- 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
- When multiplying-->
to find upper bound=
multiply the upper
bounds. To find lower
bound, multiply by
lower bounds
- Sine Rule
- a/ SinA= b/SinB= c/SinC
- SinA/a = SinB/b = SinC/c
- Cosine Rule
- c2= a2 + b2 - 2abCosC
- CosC= a2 + b2 - c2/ 2ab
- CosC= a2 + b2 - c2/ 2ab
- c2= a2 + b2 - 2abCosC
- a/ SinA= b/SinB= c/SinC
- Area of a triangle
- 1/2 base x height
- Area of triangle ABC=
1/2 acSinB, 1/2 bcSinA,
1/2 abSinC
- 1/2 base x height
- The length of an arc
- Theta/ 360 x pie x diametre
- Area of a sector
- Theta/ 360 x pie x radius squared
- Theta/ 360 x pie x radius squared
- Theta/ 360 x pie x diametre
- Volume of a prism
- area of cross section x height
- Volume of a cone
- 1/3 pie x radius squared x height
- Volume of a sphere
- 4/3 x pie x radius cubed
- 4/3 x pie x radius cubed
- 1/3 pie x radius squared x height
- area of cross section x height
- Surface area of a cone
- Curved surface area= pie x radius x length
- Total surface area=
(pie x radius x length)
+ (pie x radius squared)
- Curved surface area= pie x radius x length
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