Maths Formulas For Class 10 PDF - Byju's

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 areused.The class 10 maths formulas include formulas related to real numbers,polynomials, quadratic equations, triangles, circles, statistics, ulas/) will be extremely helpful for students to be ableto solve questions more accurately and quickly.List of Maths Formulas for Class 10The 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 Variableax b 0a 0 and a&b are real numbersTwo variableax by c 0a 0 & b 0 and a,b & c are real numbersThree Variableax by cz d 0a 0 , b 0, c 0 and a,b,c,d are real numbersPair of Linear Equations in two variables:a1x b1 c1 0a2x b2 c2 0

Maths Formulas For Class 10 PDFWherea1, b1, c1, a2, b2, and c2 are all real numbers anda12 b12 0 & a22 b22 0It should be noted that linear equations in two -in-two-variables/) can also berepresented in graphical form.Algebra or Elgebraic EquationsThe standard form of Quadratic Equations:ax2 bx c 0 where a 0And x [-b (b2 – 4ac)]/2acAlgebraic formulas:(a b)2 a2 b2 2ab(a-b)2 a2 b2 – 2ab(a b) (a-b) a2 – b2(x a)(x b) x2 (a b)x ab(x a)(x – b) x2 (a – b)x – ab(x – a)(x b) x2 (b – a)x – ab(x – a)(x – b) x2 – (a b)x ab(a b)3 a3 b3 3ab(a b)(a – b)3 a3 – b3 – 3ab(a – b)(x y z)2 x2 y2 z2 2xy 2yz 2xz(x y – z)2 x2 y2 z2 2xy – 2yz – 2xz(x – y z)2 x2 y2 z2 – 2xy – 2yz 2xz(x – y – z)2 x2 y2 z2 – 2xy 2yz – 2xzx3 y3 z3 – 3xyz (x y z)(x2 y2 z2 – xy – yz -xz)x2 y2 ½ [(x y)2 (x – y)2](x a) (x b) (x c) x3 (a b c)x2 (ab bc ca)x abcx3 y3 (x y) (x2 – xy y2)x3 – y3 (x – y) (x2 xy y2)x2 y2 z2 -xy – yz – zx ½ [(x-y)2 (y-z)2 (z-x)2]Click here to check all algebra formulas (https://byjus.com/algebra-formulas/)Basic formulas for powers2/7

Maths Formulas For Class 10 PDFpm x pn pm n{pm} {pn} pm-n(pm)n pmnp-m 1/pmp1 pP0 1Arithmetic Progression(AP) FormulasIf a1, a2, a3, a4, a5, a6, 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, .,nth term where a is the first term. Now, nth term for arithmeticprogression (https://byjus.com/maths/arithmetic-progression/) is given as;nth term a (n-1) dSum of nth term in Arithmetic Progression;Sn n/2 [a (n-1) d]Trigonometry Formulas For Class 10Trigonometry maths formulas for Class 10 covers three major functions Sine,Cosine and Tangent for a right-angle triangle. Also, in ), the functions sec, cosec and cot formulascan be derived with the help of sin, cos and tan formulas.Let a right-angled triangle ABC is right-angled at point B and have θ.Sin θ Side opposite to angle θCos θ Tan θ Sec θ Cot θ H ypotenuseAdjacent side to angle θH ypotenuseSide opposite to angle θAdjacent side to angle θP erpendicularH ypotenuse P/HAdjacentsideH ypotenuse B/H P/B1cos θ1tan θCosec θ Tan θ 1sin θSin θC os θTrigonometry Table3/7

Maths Formulas For Class 10 PDFAngle0 30 45 60 90 Sinθ01/21/ 2 3/21Cosθ1 3/21/ 2½0Tanθ01/ 31 3UndefinedCotθUndefined 31 3/20Secθ12/ 3 22UndefinedCosecθUndefined2 22/ 31Other Trigonometric formulassin(90 – θ) cos θcos(90 – θ) sin θtan(90 – θ) cot θcot(90 – θ) tan θsec(90 – θ) cosecθcosec(90 – θ) secθsin2θ cos2 θ 1sec2 θ 1 tan2θ for 0 θ 90 Cosec2 θ 1 cot2 θ for 0 θ 90 Get complete Trigonometry Formulas list /)Circles Formulas For Class 10Circumference of the circle 2 π rArea of the circle π r2Area of the sector of angle θ (θ/360) π r2Length of an arc of a sector of angle θ (θ/360) 2 π r(r radius of the circle)Surface Area and Volumes Formulas For Class 10The common formulas from the surface area and mes/) chapter in 10th class include thefollowing:Sphere Formulas4/7

Maths Formulas For Class 10 PDFDiameter of sphere2rCircumference of Sphere2πrSurface area of sphere4 π r2Volume of Cylinder4/3 π r2Cylinder FormulasCircumference ofCylinder2 πrhCurved surface areaof Cylinder2 πr2Total surface area ofCylinderCircumference of Cylinder Curved surface area ofCylinder 2 πrh 2 πr2Volume of Cylinderπ r2 hCone FormulasSlant height of conel (r2 h2)Curved surface area of coneπrlTotal surface area of coneπr (l r)Volume of cone⅓ π r2 hCuboid FormulasPerimeter of cuboid4(l b h)Length of the longest diagonal of a cuboid (l2 b2 h2)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 volumes.Statistics Formulas for Class 105/7

Maths Formulas For Class 10 PDFIn class 10, the chapter statistics (https://byjus.com/maths/statistics/) mostly dealswith finding the mean median and standard deviation of grouped data.(I) The mean of the grouped data can be found by 3 methods.1. Direct Method: x̅ ni 1 f xini 1if, where fi xi is the sum of observations fromivalue i 1 to n And fi is the number of observations from value i 1 to n2. Assumed mean method : x̅ a 3. Step deviation method : x̅ a ni 1f diin i 1 fi ni 1 f uini 1if hi(II) The mode of grouped data:Mode l f –f102f –f –f102 h(III) The median for a grouped data:nMedian l –cf2f hCheck out more important class 10 maths resources from below:Class 10 Maths nt-questions-class-10-maths/)Revision Notes For Class 10th evision-notes/)Sample Papers For Class 10Maths aths/)Previous Year Question Papers For Class10 Maths hs-previous-yearpapers/)Check More Classwise Maths Formulas:Maths Formulasfor Class /)Maths Formulasfor Class /)Maths Formulasfor Class 11/)Maths Formulasfor Class 2/)6/7

Class 10 Maths Formulas PDF The Maths formulas for class 10 are the general formulas which are not only crucial for class 10 but also form the base for higher-level maths concepts. The maths formulas are also important in various higher education fields like engineering, medical