CBSE Class 12 Fee Structure: Check Important Details

August 18, 202239 Insightful Publications

**CBSE Class 8 Maths Formulas: **In order to prepare for the board exams, CBSE Class 8 Maths formulas are a good starting point. Therefore, it is important to know and learn them thoroughly. It makes sense that children experience anxiety because learning arithmetic concepts can be challenging. To get a high level of knowledge, students must first learn 8th Class Maths formulas and then move towards solving questions.

To make things easier for students, this article provides an overview of all the arithmetic formulas for the eighth grade. This will enable students to go past their learning barrier and maintain composure throughout the exam. The important Class 8 Maths formulas discussed in this article will not only make it easier for students to understand their significance, but they will also become familiar with several useful learning strategies that can be quickly incorporated into their studies.

Many students argue about the fact that Maths formulas are hard to grasp. However, if you understand the meaning of the formulas, practice them regularly, and solve a sufficient number of questions, all the formulas will be at your fingertips. Students will not need the Maths formulas for Class 8 CBSE PDF now as we have listed down all the formulas for you.

CBSE Class 8 Maths has the following chapters:

**Chapter-1:**Rational Numbers**Chapter-2:**Linear Equation in One Variable**Chapter-3:**Understanding Quadrilaterals**Chapter-4:**Practical Geometry**Chapter-5:**Data Handling**Chapter-6:**Square and Square Roots**Chapter-7:**Cube and Cube Roots**Chapter-8:**Comparing Quantities**Chapter-9:**Algebraic Expressions and Identities**Chapter-10:**Mensuration**Chapter-11:**Exponents and Power**Chapter-12:**Direct and Inverse Proportion**Chapter-13:**Factorization**Chapter-14:**Introduction to Graphs**Chapter-15:**Playing with Numbers

Any number that can be written in the form of p ⁄ q where q ≠ 0 are rational numbers. It possesses the properties of:

**Additive Identity:**(a ⁄ b + 0) = (a ⁄ b)**Multiplicative Identity:**(a ⁄ b) × 1 = (a/b)**Multiplicative Inverse:**(a ⁄ b) × (b/a) = 1**Closure Property – Addition:**For any two rational numbers*a*and*b, a + b*is also a rational number.**Closure Property – Subtraction:**For any two rational numbers*a*and*b, a – b*is also a rational number.**Closure Property – Multiplication:**For any two rational numbers*a*and*b, a × b*is also a rational number.**Closure Property – Division:**Rational numbers are not closed under division.**Commutative Property – Addition:**For any rational numbers a and b, a + b = b + a.**Commutative Property – Subtraction:**For any rational numbers a and b, a – b ≠ b – a.**Commutative Property – Multiplication:**For any rational numbers a and b, (a x b) = (b x a).**Commutative Property – Division:**For any rational numbers a and b, (a/b) ≠ (b/a).**Associative Property – Addition:**For any rational numbers a, b, and c,*(a + b)*+ c =*a + (b + c)*.**Associative Property – Subtraction:**For any rational numbers a, b, and c,*(a – b)*– c ≠*a – (b – c)***Associative Property – Multiplication:**For any rational number a, b, and c,*(a x b) x c*=*a x (b x c).***Associative Property – Division:**For any rational numbers a, b, and c,*(a / b)*/ c ≠*a / (b / c)*.**Distributive Property:**For any three rational numbers*a, b*and*c*,*a × ( b + c ) = (a × b) +( a × c)*.

**Number Formation**

- A two-digit number ‘ab’ can be written in the form: ab = 10a + b
- A three-digit number ‘abc’ can be written as: abc = 100a+10b+c
- A four-digit number ‘abcd’ can be formed: abcd = 1000a+100b+10c+d

- a
^{0}= 1 - a
^{-m}= 1/a^{m} - (a
^{m})^{n}= a^{mn} - a
^{m}/ a^{n}= a^{m-n} - a
^{m}x b^{m }= (ab)^{m} - a
^{m}/ b^{m }= (a/b)^{m} - (a/b)
^{-m}=(b/a)^{m} - (1)
= 1 for infinite values of^{n}*n*.

Algebraic Identities comprise several equality equations which consist of different variables.

**Linear Equations in One Variable:**A linear equation in one variable has the maximum one variable of order 1. It is depicted in the form of ax + b = 0, where x is the variable.**Linear Equations in Two Variables:**A linear equation in two variables has the maximum of two variables of order 2. It is depicted in the form of ax^{2}+ bx + c = 0.

- (a + b)
^{2}= a^{2}+ 2ab + b^{2} - (a – b)
^{2}= a^{2}– 2ab + b^{2} - (a + b) (a – b) = a
^{2}– b^{2} - (x + a) (x + b) = x
^{2}+ (a + b)x + ab - (x + a) (x – b) = x
^{2}+ (a – b)x – ab - (x – a) (x + b) = x
^{2}+ (b – a)x – ab - (x – a) (x – b) = x
^{2}– (a + b)x + ab - (a + b)
^{3}= a^{3}+ b^{3}+ 3ab(a + b) - (a – b)
^{3}= a^{3}– b^{3}– 3ab(a – b)

If a natural number, m = n^{2} and n is a natural number, then m is said to be a square number.

- Every square number surely ends with 0, 1, 4, 5, 6, and 9 at its units place.
- A square is the inverse operation of the square.

Numbers, when obtained while multiplied by itself three times, is known as cube numbers.

- If every number in the prime factorisation appears three times, then the number is a perfect cube.
- The symbol of the cube is ∛.
- Cube and Cube mysqladmin: ∛27 = 3 and 3
^{3}= 27.

Discounts are the reduction value prevailed on the Marked Price (MP).

**Discount = Marked Price – Sale Price****Discount = Discount % of the Marked Price**

Overhead expenses are the additional expenses made after purchasing an item. These are included in the Cost Price (CP) of that particular item.

**CP = Buying Price + Overhead Expenses**

GST (Goods and Service Tax) is calculated on the supply of the goods.

**Tax = Tax % of the Bill Amount**

Compound Interest (CI) is the interest which is compounded on the basis of the previous year’s amount.

**Formula of Amount (Compounded Annually):** **\(A = P \left (1 + \frac{R}{100} \right )^t\)**

P = Principal,

r = Rate of Interest, and

t = Time Period

**Formula of Amount (Compounded Half Yearly):** **\(A = P \left (1 + \frac{R}{200} \right )^{2t}\)**

R/2 = Half-yearly Rate,

2t = Number of Half-Years

Any useful information that can be utilised for some specific use is known as data. These data can be represented either graphically (pictograph/bar graph/pie charts) or symmetrically (tabular form). Find the important Class 8 Maths formulas for Data Handling and Probability.

- A class interval is the specific range of numbers such as 10-20, 20-30, 30-40, and so forth.
- For a class interval of 10-20, lower class limit = 10 and upper class limit = 20
- Frequency is the number of times a particular value occurs.

*Probability = Number of Favourable Outcomes/Total Number of Outcomes*

Here, we will define the geometrical formulas consistently used in Mathematics Class 8. We will use the following abbreviations for convenience:

- LSA – Lateral/Curved Surface Area
- TSA – Total Surface Area

Name of the Solid Figure | Formulas |

Cuboid | LSA: 2h(l + b)TSA: 2(lb + bh + hl)Volume: l × b × hl = length, b = breadth, h = height |

Cube | LSA: 4a^{2}TSA: 6a^{2}Volume: a^{3} a = sides of a cube |

Right Pyramid | LSA: ½ × p × l TSA: LSA + Area of the baseVolume: ⅓ × Area of the base × h p = perimeter of the base, l = slant height, h = height |

Right Circular Cylinder | LSA: 2(π × r × h) TSA: 2πr (r + h) Volume: π × r^{2} × hr = radius, h = height |

Right Circular Cone | LSA: πrl TSA: π × r × (r + l) Volume: ⅓ × (πr^{2}h) r = radius, l = slant height, h = height |

Right Prism | LSA: p × h TSA: LSA × 2BVolume: B × hp = perimeter of the base, B = area of base, h = height |

Sphere | LSA: 4 × π × r^{2} TSA: 4 × π × r^{2} Volume: 4/3 × (πr^{3}) r = radius |

Hemisphere | LSA: 2 × π × r^{2} TSA: 3 × π × r^{2} Volume: ⅔ × (πr^{3}) r = radius |

Consistent practise is essential for success in math. Students are encouraged to solve as many problems as they can, since this will expose them to a variety of formulas. This is a fantastic technique to recall formulas without having to mumble them down. Here is a summarized list of Class 8 math formulas that can be used.

- Additive inverse of rational number: a/b = -b/a
- Multiplicative Inverse of a/b = c/d , if a/b × c/d = 1
- Distributivity a(b – c) = ab – ac
- Probability of the occurrence of an event = Number of outcomes that comprise an event/ Total number of outcomes
- Compound Interest formula = Amount – Principal, Amount in case the interest is to be calculated annually = Principal ( 1 + Rate/100)
^{n}, where ‘n’ is the time period. - (a – b)
^{2}= a^{2}– 2ab + b^{2} - (a + b) (a – b) = a
^{2}– b^{2} - Euler’s Formula: For any polyhedron, Number of faces + Number of vertices – Number of edges = 2
- Volume of a Cone = (1 / 3 )πr
^{2}h - Volume of a Sphere = (4/3) π r
^{3}

**Q.1: How to memorise Class 8 Maths formulas?Ans:** Refer to the formula sheet as you solve questions. Eventually, you will memorise them and master their application.

**Q.2: Is NCERT enough for the Class 8 Maths exam?Ans:** Yes, for Class 8, the NCERT Maths textbook is enough.

**Q.3: Which book should I prefer for learning Class 8 Maths formulas?****Ans:** We advise you to go for NCERT books if you want to know all the essential Class 8 Maths formulas.

**Q.4: Is there any website that offers free Class 8 practice questions?****Ans:** Embibe provides free Class 8 practice questions to learn and score well in your examinations.

**Q.5: How to best use these CBSE Class 8 Maths formulas?****Ans:** These Class 8 Maths formulas will help you when you get stuck in some questions while practising the subject. The formulas and properties will help you in quick revision. This way you can prepare well and score better.