(b0mMM2) Year 10 MM Formula Sheet
Name:
Surface area of a cone =  r 2   r s
Straight line graphs
Gradient (slope): m 
Equation:
y 2  y1
x2  x1
y  mx  c
or
y  y1  m( x  x1 )
Measurement
Pythagoras’ theorem
c2  a2  b2
1
( a  b  c)
2
Area of a circle:  r 2
Heron's formula: A  s( s  a)(s  b)(s  c) where s 
Circumference of a circle: 2 r
Volume of a sphere:
Volume of a cone:
4 3
r
3
Surface area of a sphere: 4 r 2
1 2
r h
3
Volume of a cylinder:  r 2 h
Volume of a prism: area of base  height
Volume of a pyramid:
1
area of base  height
3
Trigonometry
To change radians to degrees multiply by
180

To change degrees to radians multiply by

180
Exponential
Surds
1)a0 =1
2)
ab
 a b
3)
b  b b
Probability
 The probability of an event occurring is defined by the rule
Number of favourable outcomes
Pr( A) 
Total number of possible outcomes
 0  Pr( A)  1
  p( x)  1
Pr( A)  Pr( A)  1
 Complementary events
 Pr(A  B)  Pr(A)  Pr(B)  Pr(A  B)
 If two events A and B, are mutually exclusive then Pr( A  B)  0 and Pr( A  B)  Pr( A)  Pr( B)
 If two events A and B, are independent then Pr( A  B)  Pr( A)  Pr( B)
Pr( A  B)
 Conditional probability is defined by the rule Pr( A / B) 
, where Pr( B)  0
Pr( B)
 Pr(A)  1  Pr(A' )
 Probability table (Karnaugh table)
B
B/
A
Pr( A  B)
Pr( A  B)
Pr( A)
A/
Pr( A  B )
Pr( A  B)
Pr( A)
Pr(B)
Pr(B)
1
Deductive Geometry