NCERT Solutions for Class 7 Geography Chapter 6

July 21, 202239 Insightful Publications

**Maths Formulas for Class 7**: Students must prepare for their Class 7 mathematics exam by memorising the Maths formulas for Class 7. Almost every chapter requires the students to be familiar with the formulas to avoid any complexities. The formula plays an important role in improving the critical thinking capacity of children. It is advisable that the students follow the formulas thoroughly.

Students may also note down the Maths formula for Class 7 in a copy to practice them. Apart from that, the students can also opt for the Maths formula for Class 7 PDF download. Students must follow the chapter-wise formula to improve their Maths preparation. In the article below, we have provided the PDFs for Class 7 Maths formulas across different chapters. Students can refer to them while practicing questions.

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.

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.

Since Class 7 Math Formulas cover the basic and practical formulas, they have their applicability in various spheres of life.

- Class 7 math formulas assist in understanding how daily activities work. These formulas are utilised worldwide, whether it’s to calculate profit and loss or to calculate interest on money.
- The formulas for mensuration and geometry assist us in determining the dimensions of shapes we encounter in our daily lives. For instance, if a person needs to find out how many bricks are needed to build a room, then the knowledge of practical geometry formulas is required.
- Algebraic formulas enable us to discover unknown values. Any problem with an unknown variable can be expressed as an algebraic equation, which can then be easily solved using algebraic entities.

Following are the tips to learn Class 7 Maths Formulas:

- Try to focus on one topic or one formula at a time. Once the particular concept or formula is clear and then proceed further to the next topic. In order to be clear with the logic behind it, make sure to practice enough problems related to that formula.
- While practising problems, practice writing a step-by-step description of the problem, which are called problem statements. This helps in co-relating between the problem statement and the formula to be used, thereby also ensuring a good habit of learning formulas by writing.

**Q.1: What are the formulas in Maths?****Ans**: Formulas in Mathematics are a set of rules or relationships that uses numbers, letters or numbers and letters to solve a query. Example: (a+b)2=a2+2ab+b2(a+b)2=a2+2ab+b2

**Q.2: How can I learn Maths in class 7?****Ans**: 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 math formulas provided by us for your preparation.

**Q.3: Where will I find the integers formula for Class 7?****Ans**: The integer formulas such as a × (– b) = (– a) × b = – (a × b) are available in this article. You can view them here.

**Q.4: What are the Class 7 Maths Chapter 11 formulas?****Ans**: Class 7 Maths Chapter 11 is Perimeter and Area and its formulas are given in this article.

**Q.5: What are the basic formulas in Class 7 Maths?****Ans: **The basic formulas in Class 7 math may include the entities of algebraic expressions, ratio proportion, calculation of profit and loss laws related to exponents and powers as well as interest under the topic of comparison of quantities, and the study of area and perimeters of shapes in practical geometry.