Y9 Maths Formulas

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1
What is the formula for the circumference of a circle?
C=2πr or C=πD
2
What is the formula for the area of a rectangle?
A=lw
3
What is the formula for the area of a square?
A=s^2
4
What is the formula for the area of a triangle?
A=1/2 bh
5
What is the formula for the area of a parallelogram?
A=bh
6
What is the formula for the area of a rhombus?
A=1/2 xy
7
What is the formula for the area of a kite?
A=1/2 xy
8
What is the formula for the area of a trapezium?
A=1/2 (a+b)h
9
What is the formula for the area of a circle?
A=πr^2
10
What is the formula for the area of a sector?
A=θ/(360°)×πr^2
11
What is the formula for the surface area of a rectangular prism?
A=2lw+2wh+2lh
12
What is the formula for the curved surface area of a cylinder?
A=2πrh
13
What is the formula for the curved surface area of a cone?
A=πrs
14
What is the formula for the surface area of a sphere?
A=4πr^2
15
What is the formula for the volume of a prism?
V=A_base×H
16
What is the formula for the volume of a cylinder?
V=πr^2 h
17
What is the formula for the volume of a cone?
V=1/3 πr^2 h
18
What is the formula for the volume of a sphere?
V=4/3 πr^3
19
What is the midpoint formula?
M=((x_1+x_2)/2 , (y_1+y_2)/2)
20
What is the distance formula?
d=√((x_2−x_1 )^2+(y_2−y_1 )^2 )
21
What is the gradient formula?
m=riseun=(y_2−y_1)/(x_2−x_1)
22
What is the gradient-intercept form of a straight line?
y=mx+c
23
What is the point-gradient form of a straight line?
y−y_1=m(x−x_1)
24
What is the standard form of a straight line?
ax+by+d=0
25
What is the formula for a perpendicular slope?
m_2=−1/m_1
26
What is the rule for direct proportion?
If y∝x then y=kx
27
What is the formula for simple interest?
I=PRT
28
What is the formula for accumulated amount?
A=P+I
29
What is the formula for repayment amount?
m=A/n
30
What is the formula for compound interest?
A=P(1+r)^n
31
What is the formula for compound interest with n compounding periods per year?
A=P(1+r/n)^nt
32
What is the radical conjugate of √a+√b?
√a−√b
33
Relative frequency of an event
Number of favourable outcomes/total number of trials
34
Ex:_\pected number of favourable trials
Relative frequency * Total number of trials
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