Maths Formulas for Class 10 PDF - Byju's

1 Class 10 Maths Formulas PDFThe Maths Formulas for Class 10 are the general Formulas which are not onlycrucial for Class 10 but also form the base for higher-level Maths concepts. Themaths Formulas are also important in various higher education fields likeengineering, medical, commerce, finance, computer science, hardware etc. Evenin almost every industry, the most common Formulas introduced in Class 10 Class 10 Maths Formulas include Formulas related to real numbers,polynomials, quadratic equations, triangles, circles, statistics, probability,( ) etc.

2 These Maths Formulas ( ) will be extremely helpful for students to be ableto solve questions more accurately and of Maths Formulas for Class 10 The basic Maths Class 10 Formulas are almost the same for all the boards. The listof Maths Formulas are:Pair of Linear Equation in Two Variables FormulasAlgebra and Quadratic Equation FormulasArithmetic Progression FormulasTrigonometry FormulasCircle FormulasSurface Area and Volume FormulasStatistics FormulasDownload Class 10 Maths Formulas PDF Here:Linear EquationsOne Variable ax+b=0a 0 and a&b are real numbersTwo variable ax+by+c = 0 a 0 & b 0 and a,b & c are real numbersThree Variable ax+by+cz+d=0 a 0 , b 0, c 0 and a,b,c,d are real numbersPair of Linear Equations in two variables.

3 A x+b +c =0a x+b +c =01 1 12 2 2 Maths Formulas For Class 10 PDF2/7 Wherea , b , c , a , b , and c are all real numbers anda +b 0 & a + b 0It should be noted that linear equations in two variables( ) can also berepresented in graphical or Elgebraic EquationsThe standard form of Quadratic Equations:ax +bx+c=0 where a 0 And x = [-b (b 4ac)]/2acAlgebraic Formulas :(a+b) = a + b + 2ab(a-b) = a + b 2ab(a+b) (a-b) = a b(x + a)(x + b) = x + (a + b)x + ab(x + a)(x b) = x + (a b)x ab(x a)(x + b) = x + (b a)x ab(x a)(x b) = x (a + b)x + ab(a + b) = a + b + 3ab(a + b)(a b) = a b 3ab(a b)(x + y + z) = x + y + z + 2xy + 2yz + 2xz(x + y z) = x + y + z + 2xy 2yz 2xz(x y + z) = x + y + z 2xy 2yz + 2xz(x y z) = x + y + z 2xy + 2yz 2xzx + y + z 3xyz = (x + y + z)(x2 + y2 + z2 xy yz -xz)x + y = [(x + y) + (x y) ](x + a) (x + b) (x + c) = x + (a + b +c)

4 X + (ab + bc + ca)x + abcx + y = (x + y) (x xy + y )x y = (x y) (x + xy + y )x + y + z -xy yz zx = [(x-y) + (y-z) + (z-x) ]Click here to check all algebra Formulas ( )Basic Formulas for powers1 1 1 2 22121222 22222 2 2 2 2 2 2 222223 3 33 3 32 2 2 22 2 2 22 2 2 22 2 2 23 3 32 222323 3223 3222 2 2222 Maths Formulas For Class 10 PDF3/7p x p = p{p } {p } = p(p ) = pp = 1/pp = pP = 1 Arithmetic Progression(AP) FormulasIf a , a , a , a , a , a , are the terms of AP and d is the common differencebetween each term, then we can write the sequence as; a a+d, a+2d, a+3d, a+4d,a+5d.

5 ,nth where a is the first term. Now, n term for arithmeticprogression ( ) is given as;n term = a + (n-1) dSum of n term in Arithmetic Progression;S = n/2 [a + (n-1) d]Trigonometry Formulas For Class 10 Trigonometry Maths Formulas for Class 10 covers three major functions Sine,Cosine and Tangent for a right-angle triangle. Also, in trigonometry( ), the functions sec, cosec and cot formulascan be derived with the help of sin, cos and tan a right-angled triangle ABC is right-angled at point B and have .Sin = = = P/HCos = = = B/HTan = = P/BSec = Cot = Cosec = Tan = Trigonometry Tablem n m+nm nm-nm n mn-mm10 1 2 3 4 5 6.

6 , ththth n Side opposite to angle HypotenusePerpendicularHypotenuseAdjacen t side to angle HypotenuseAdjacentsideHypotenuseSide opposite to angle Adjacent side to angle 1cos 1tan 1sin Sin Cos Maths Formulas For Class 10 PDF4/7 Angle0 30 45 60 90 Sin 01/21/ 2 3/21 Cos 1 3/21/ 2 0 Tan 01/ 31 3 UndefinedCot Undefined 31 3/20 Sec 12/ 3 22 UndefinedCosec Undefined2 22/ 31 Other Trigonometric formulassin(90 ) = cos cos(90 ) = sin tan(90 ) = cot cot(90 ) = tan sec(90 ) = cosec cosec(90 ) = sec sin + cos = 1sec = 1 + tan for 0 < 90 Cosec = 1 + cot for 0 90 Get complete Trigonometry Formulas list here( )Circles Formulas For Class 10 Circumference of the circle = 2 rArea of the circle = rArea of the sector of angle = ( /360) rLength of an arc of a sector of angle = ( /360) 2 r(r = radius of the circle)Surface Area and Volumes Formulas For Class 10 The common Formulas from the surface area and volumes( ) chapter in 10 Class include thefollowing.

7 Sphere Formulas222 22 222thMaths Formulas For Class 10 PDF5/7 Diameter of sphere2rCircumference of Sphere2 rSurface area of sphere4 rVolume of Cylinder4/3 rCylinder FormulasCircumference ofCylinder2 rhCurved surface areaof Cylinder2 rTotal surface area ofCylinderCircumference of Cylinder + Curved surface area ofCylinder = 2 rh + 2 rVolume of Cylinder r hCone FormulasSlant height of conel = (r + h )Curved surface area of cone rlTotal surface area of cone r (l + r)Volume of cone r hCuboid FormulasPerimeter of cuboid4(l + b +h) length of the longest diagonal of a cuboid (l + b + h )Total surface area of cuboid2(l b + b h + l h)Volume of Cuboidl b hHere, l = length , b = breadth and h = height In case of Cube, put l = b = h = a, ascube all its sides of equal length , to find the surface area and Formulas for Class 1022222 2 22 2 2 2 Maths Formulas For Class 10 PDF6/7In Class 10, the chapter statistics ( ) mostly dealswith finding the mean median and standard deviation of grouped data.

8 (I) The mean of the grouped data can be found by 3 Method: x = , where f x is the sum of observations fromvalue i = 1 to n And f is the number of observations from value i = 1 to mean method : x = deviation method : x = (II) The mode of grouped data:Mode = (III) The median for a grouped data:Median = Check out more important Class 10 Maths resources from below: Class 10 Maths ImportantQuestions( )Revision Notes For Class 10th Maths ( )Sample Papers For Class 10 Maths ( )Previous Year Question Papers For Class10 Maths ( )Check More Classwise Maths Formulas : Maths Formulasfor Class 8( ) Maths Formulasfor Class 9( ) Maths Formulasfor Class 11( ) Maths Formulasfor Class 12( ) ni=1fixi ni=1fii i i a+ ni=1fidi ni=1fia+ h ni=1fiui ni=1fil+ h f1f02 f1f0f2l+ h cfn2f