Maths Top 50 Formulas

Maths Top 50 Formulas

1. it Waka + Ws + vx

DEL PEL too Wy

Geometrie Mean =

Harmonic Mea

For tw

Percentage Change

, Final Value — Initial Value,
sak ia Value

Fortwo suc ranges ofa and

Total Percentage Change = (a + 5 +22)
tal Percentage Change = (a+ à +)

4. Interest

Prine
Simple Interest =

Compound Intere

2. Here, P= Original population = population after n years, 1% = rate of annual chang

as, r% = rate of annual depreciation)

Absolute Growth = Final Value Inicial Valu

Final Value — Initial Value

Growth rate fora year = ARÈNES

Growth Rate

SAGROPAAGR= pere

(init vate)

and A.G.R.= Compound Annual Growth Rate]

Percentage Loss = “2S
@

3. 9. False Wei

Ratios

4. Alternendo
Invertendo Law

Componendo Law

Componendo and Dividendo Law
= ken
beat

A Baer

E

5. deviation of areibutes of these two

M 6-0

Speed

1m fhe = m/s and 1 m/s = Ph fhe

Total distance travelled
average Speed = Teldstance travel
"Total time taken

6. age speed given by arithmetic mean of two specds

um ofthelengts _ La + La

For Boats and Streams

Tone one

7. Vb

(aby = arom

= a raised tothe power (m raised tothe power)

a” = a.thenm = n

a" = BM and m+ then a = bifm is odd and a = 46 fm seven

8. logy = 0

logp(rm xn) = logy m + ogg 2

ly m= logy n

logy = nlogym

logy = LE ogg mx

Toga’
UF toga m logy n and ifm = n,then a wil be equa to à

IF toga m =logg and ifa = b then m wil be equal tom

Itnis natural number that is greater than or equal to 2, then according tothe bi

eg xa 4c, 2" Nal 4
Gx +a Mead 4 MG, = Tal a

9. 302% + 3b?

at(n—Dd

a+ = nd)

10. Sum of first n natural numbers
n(n+1)

E

Sum of the squares of the first n natural number

n(n + 1)(2n + 1)

BDs ee rn-

Sum of the cubes of the first n natural numbers

pren + D
PHBE eae tnt 2

tq, = — SN

ir
Important Properties:
Nop "Cp =

Me + Cy + "Cy 4 MCg + ue + "Cy = 2"

11. 35. Partition Rule

36. Probability

nber of unfavourable outenmes

Pythagoras Theorem

13. 38. Area of Triangle

Area = GC

where, semiperimeter (8)

15. Area =
3

IFAD is the media

AB? + AC? = 2(AD?

16. e Bisector Theorem.

For Cyclic Quadr

Area = y

17. 1
aide sind
1

18. b

Por Square

19. Number of Dia

or angles

20. Length of Are

22. 47. Distance between Points

Distance between two points A (3,1) and B (

Lateral Surface Area (LS.A) = Perimeter of base x height
Surface Area (TS rea of bat

folume (V) = Are

23. Body diagonal (d) = y

Body diagonal (d) = avá

24. fed Surface Area (CSA) = Zur

Volume (Y) = x Area of Base x Height