Maths Formule

EmilyRedlaff
Mind Map by EmilyRedlaff, updated more than 1 year ago
EmilyRedlaff
Created by EmilyRedlaff about 5 years ago
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Formale for maths

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Maths Formule
1 Pythagoras Theorem
1.1 A2 + B2 = C2
2 Percentage Increase
2.1 Price x Multiplier to the power of years
3 Cumulative Frequency
3.1 Addition of Frequencies (ongoing)
4 Trigonometry
4.1 SOHCAHTOA
4.1.1 Sin, Opposite, Hypotenuse
4.1.2 Cos, Adjacent, Hypotenuse
4.1.3 Tan, Opposite, Adjacent
4.1.4 Theta= cos/tan/sin to the -1 (fraction)
5 Area and Volume of Similar Shapes
5.1 Area Scale Factor= (length scale factor)2
5.2 Volume Scale factor= (length scale factor)3
6 Direct Proportion
6.1 y oc x
6.2 y= kx
6.3 Inverse Proportion
6.3.1 y oc 1/x
6.3.2 y= k/x
7 Negative and fractional indicies
7.1 2 to the power of -1= 1/2 to the power of 1= 0.5
7.1.1 Rule: a to the -n= 1/a to the power of n
7.1.2 5, square root, n= n 1/5
8 Equation of a straight line
8.1 y= mx + c
8.1.1 m= gradient
8.1.2 c= where it crosses the y axis (y intercept)
9 Factorise expressions of the form x2-b2
9.1 Rule: x2-a2 factorises to (x+a)(x-a)
10 Reverse Percentages
10.1 Original amount= new amount/ multiplier
10.2 New amount= original amount x multiplier
11 Midpoint of a line
11.1 For coordinates (a,b) and (c,d)...
11.1.1 (a+c divided by 2, b+d divided by 2)
12 Quartiles
12.1 median= half way
12.2 upper quartile= 3/4
12.3 lower quartile= 1/4
13 Difference between two points
13.1 (all in a square root) --> (change in x)2 + (change in y)2 + (change in z)2
14 Frequency Density
14.1 Frequency/ width of group
15 Upper and Lower bounds
15.1 When multiplying--> to find upper bound= multiply the upper bounds. To find lower bound, multiply by lower bounds
15.2 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
16 Sine Rule
16.1 a/ SinA= b/SinB= c/SinC
16.2 SinA/a = SinB/b = SinC/c
16.3 Cosine Rule
16.3.1 c2= a2 + b2 - 2abCosC
16.3.1.1 CosC= a2 + b2 - c2/ 2ab
17 Area of a triangle
17.1 1/2 base x height
17.2 Area of triangle ABC= 1/2 acSinB, 1/2 bcSinA, 1/2 abSinC
18 The length of an arc
18.1 Theta/ 360 x pie x diametre
18.2 Area of a sector
18.2.1 Theta/ 360 x pie x radius squared
19 Volume of a prism
19.1 area of cross section x height
19.2 Volume of a cone
19.2.1 1/3 pie x radius squared x height
19.2.2 Volume of a sphere
19.2.2.1 4/3 x pie x radius cubed
20 Surface area of a cone
20.1 Curved surface area= pie x radius x length
20.2 Total surface area= (pie x radius x length) + (pie x radius squared)
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