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Algebra
10th
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33 Terms
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1
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arithmetic nth term
a + (n-1)d
2
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Quadratic nth term
an² + bn + c
3
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Simple interest
P x R% x T
4
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Compound Interest
P(1 + r/100)ⁿ
5
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Quadratic equations (2)
ax² + bx + c ,
x = -b + or - √b² - 4ac/ 2a
6
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Area of circle
πr²
7
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area of triangle
1/2absin∅
1/2bh
8
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area of kite
d1 + d2/ 2
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area of parallelogram
b x h
10
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Volume of a cylinder
πr²h
11
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volume of sphere
4/3 x πr³
12
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volume of triangular prism
1/3 x base area x h
13
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volume of cone
1/3 x πr² x h
14
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Surface area of cylinder curve
2πrh
15
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surface are of cone curve
πrl
16
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surface area of sphere
4πr²
17
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area of sector
∅/360 x πr²
18
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area of arc in sector
∅/360 x 2πr
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circle perimeter
2πr
20
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sum of interior angles in a polygon
(n - 2) x 180
21
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Pythagoras Theorum
a² + b² = c²
22
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similarity of a quadrilateral
area ABCD/ area PQRS = AB² / PQ²
23
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similarity in a cylinder for volume
V1 / V2 = R1³ / R2³
24
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Congruence tests (4)
SSS: side side side test, RHS: right angled hypotenuse test, SAS: side angle side test, SAA: side angle angle test
25
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Trig
SOH CAH TOA
26
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Sine rule
a/ Sin A = b/ Sin B = c/ Sin C
27
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Cosine rule
a² = b² + c² - (2bc x cos A)
28
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Gradient in graphs
y2 - y1 / x2 - x1
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Equation of a line
y = mx + c
30
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Histograms
frequency density = frequency / class width
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Mode
most occurring data point
32
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range
highest value - lowest value
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Cumulative frequency
Q1 = (n/4)th value
Q2 = (n/2)th value
Q3 = (3N/4)th value