**Maths Formulas for Class 7**: Mathematics is one of the most important subjects because it helps sharpen memory and improve the critical and analytical thinking abilities of students. Many students find Mathematics a difficult subject. But with your concepts clear and a lot of practice from a young age, one can master the subject. To help you with this, we have carefully listed the chapter-wise Maths formulas for Class 7 so that you don’t have to waste your precious time searching for them. Refer to these Maths formulas for Class 7 while solving practice questions and master their application.

**DOWNLOAD NCERT SOLUTIONS FOR CLASS 7 MATHS HERE**

## Chapter-wise Maths Formulas For Class 7

Before proving the formulas, let’s have a look at the list of the chapters covered in Class 7 Mathematics.

**Integers****Fractions and Decimals****Data Handling****Simple Equations****Lines and Angles****The Triangle and its Properties****Congruence of Triangles****Comparing Quantities****Rational Numbers****Practical Geometry****Perimeter and Area****Algebraic Expressions****Exponents and Powers****Symmetry****Visualizing Solid Shapes**

Let us now move on to the Maths formulas for Class 7.

### Important Class 7 Maths Formulas

The important formulas for Class 7 Maths are provided below:

Integers Formulas | 1) a – b = a + additive inverse of b = a + (– b) 2) a – (– b) = a + additive inverse of (– b) = a + b 3) a + (b + c) = (a + b) + c 4) a × (– b) = (– a) × b = – (a × b) 5) (– a) × (– b) = a × b 6) (a × b) × c = a × (b × c) 7) a × (b + c) = a × b + a × c 8) a × (b – c) = a × b – a × c 9) a ÷ (–b) = (– a) ÷ b where b ≠ 0 10) (– a) ÷ (– b) = a ÷ b where b ≠ 0 11) a ÷ 0 is not defined & a ÷ 1 = a |

Fractions and Decimals | 1) \(\frac{product \,of \,numerators}{Product \,of \,denominators}\) . For example, \(\frac{4}{5}\times \frac{3}{7}= \frac{4\times3}{5\times7}=\frac{12}{35}\) 2) To multiply a decimal number by 10, 100 or 1000, we move the decimal point in the number to the right by as many places as there are zeros over 1. Thus 0.69 × 10 = 6.9, 0.69 × 100 = 69, 0.69 × 1000 = 690 and for dimple decimal numbers see the example – 0.6 × 0.9 = 0.54 3) Division of a decimal number – To divide a decimal number by a whole number, we first divide them as whole numbers. Then place the decimal point in the quotient as in the decimal number. example 12.4 ÷ 4 = 3.1 |

Data Handling | The Average or Arithmetic Mean or Mean = \(\frac{sum \,of \, observations}{number \,of \,observations}\) |

Simple Equations | An equation is a condition on a variable such that two expressions in the variable should have equal value. Example: 5x + 6 = 26, the LHS and RHS must be balanced therefore to balance the equation the value of x should be 4. The above equation can be solved as > 5x = 26 – 6 > 5x = 20 > x = \(\frac{20}{5}\) > x = 4 |

Lines and Angles | Two complementary angles: Measures add up to 90° Two supplementary angles: Measures add up to 180° Two adjacent angles: Have a common vertex and a common arm but no common interior. Linear pair: Adjacent and supplementary |

The Triangle and its Properties | For a triangle ABC: Sides: AB, BC, CA Angles: ∠BAC, ∠ABC, ∠BCA Vertices: A, B, C For a right-angled triangle QPR, right angles at P: Pythagoras property \((QR)^{2}=(PQ)^{2}+(PR)^{2}\) “In a right-angled triangle, the square on the hypotenuse = sum of the squares on the legs “ |

Comparing Quantities | Simple Interest \(SI=\frac{P\times R\times T}{100}\)Where P=Principal, T= Time in years, R=Rate of interest per annum Rate \(R=\frac{SI\times 100}{P\times T}\) Principal \(P=\frac{SI\times 100}{R\times T}\) Time \(T=\frac{SI\times 100}{P\times R}\) Discount = MP-SPPrincipal = Amount – Simple InterestIf the Rate of Discount is given, \(Discount=\frac{Past\, Rate \, of \, discount}{100}\) |

Perimeter and Area | Perimeter of Square: 4a where a is the side of the squarePerimeter of Rectangle: 2(l+b) units, where l is length and b is the breadth Area of Circle: \(\pi r^2\) where r is the radiusArea of Rectangle: lb where l = length and b is the breadthTotal Surface Area (TSA) for Cube: 6a^{2} : 2(lb+bh+hl) TSA of cuboid |

Algebraic Expressions | \((a+b)^2=a^2+2ab+b^2\) \((a-b)^2=a^2-2ab+b^2\) \(a^2-b^2=(a+b)(a-b)\) \((x+a)(x+b)=x^2+x(a+b)+(ab)\) |

Exponents and Powers | p^{m }x p^{n }= p^{m+n}{p ^{m}}⁄{p^{n}} = p^{m-n}(p ^{m})^{n }= p^{mn}p ^{-m} = 1/p^{m}p ^{1} = pP ^{0 }= 1 |

Now you have the complete list of Maths Formulas for Class 7. Go through the formulas as you advance through your syllabus and practice them regularly to get a better hold of the subject.

### FAQs On Maths formulas For Class 7

While looking for Maths formulas for class 7 a lot of questions arise in a student’s mind. Here we have gathered some of the questions that students generally search:

**Q1: What are the formulas in maths?**

A: Formulas in Mathematics are a set of rules or relationship that uses numbers, letters or numbers and letters to solve a query. Example: \((a+b)^2=a^2+2ab+b^2\)

**Q2: How can I learn math in class 7?**

A: Class 7 Maths has 15 chapters that are advanced versions of topics from Class 6. To learn Class 7 Maths easilt=yu you must practice the questions and understand the concepts. You can use the Maths formulas provided by us fro your preparation.

**Q3: Where will I find the Integers formula for class 7?**

A: The integer formulas such as a × (– b) = (– a) × b = – (a × b) are available in this article. You can view them here.

**Q4: What are the Class 7 Maths Chapter 11 formulas?**

A: Class 7 Maths Chapter 11 is Perimeter and Area and its formulas are given in this article.

**CHECK OUT THE DETAILED CLASS 7 MATHS SYLLABUS HERE**

Maths Formulas For Class 8 | Maths Formulas for Class 9 |

Mensuration Formulas | Trigonometric Ratios |

*We hope this article provides you with all the information regarding Class 7 Maths Formulas. If you have any questions, feel free to ask in the comment section below. We will get back to you at the earliest. *

*Have Fun Learning* *and* *All the Best from Team Embibe!*

**1847**Views