**Maths Formula for Class 8**

A simple mathematical formula captures everything in Class 8 math.

Only 30 children, all of whom will end up being those who won the right to switch classes from the O level to the C level, will do this on Day 1.

We then add another 10 children to the class (each child with 3 years or less in school), and then we have 51 students in the class for Day 2.

At this point, we have a class of 60. So we assume that each of these students brings with them an “average” student.

What of this average will ensure that the class goes from 60 to 102?

If the students are whittled down to 50 and 50% of these total are average students, we can see that 52 will be finished in Class C with all of the average students from the O level. But wait a minute, how can 50% of average children sit in a class full of 62 average students?

Well, it can happen like this. We can take a random sample of the class so that we have an average number of students in the class. Then we predict how many average students will actually be in the class. If we project this average number forward, then 52 becomes 100 students.

Somehow a majority of the average students will move to C level class to support the whole class.

In the end, we know 52 out of the 60 students are average students (like most ordinary classes). So, a majority of these students reach the C level (like most ordinary classes).

Of course, we can have more average students than are in class A which would have to still make up the difference (such as in maths). But if the A level and B level classes are either huge (e.g. there are 11 children in that class A or you have a “per manager” per manager.

I guess we can imagine that because Class B has just a class A or because A has a class B that 53 of the 52 average students move to C level.

Of course, not all of the average students stay where they are, and instead, they either move to Class A or B. I assume that about 20% of the Class A students if your average will stick with 42, would move to Class B.

The number of total average students makes up a great proportion of the class (how can one of these individuals not earn a better class, right?), so even if every 6 average students stay with the average (like in maths), then it would take over 2 years of class hopping for the average student to be in C and the other 22 remain with Class A. Of course, 2 years should be enough time to earn your better class, but who really knows if I am right?

Furthermore, this method also ignores the difference in the age group so, if anything, another 20% or so (maybe more), of the average students would end up being A-level students.

While using this math, we can safely say that most of the regular classes are more average than at C level. The real issue is, why would we make up the difference between average and the high C level? To me, doing maths and doing maths really well are pretty similar. If you are A level student (and you need to make up this difference) you are probably hardworking and you will be able to get the best grade or in my experience, you will actually earn better grades than the average.

And if you decide to step down to the C level, you are apparently hardworking (everyone who goes back down to the C level should be an A level student) but, hopefully, the A-class comes back and gets a higher average! But hopefully, a better average will persist for C level as well as the A level classes!

**Class 8 Maths Formula**

**Geometry Shapes Formulas for Solid Shapes:-**

Name of the Solid |
Curved Surface Area |
Total Surface Area |
Volume |

Cuboid |
2h (l + b) |
2 (lb + bh + hl) |
l x b x h |

Cube |
4a² |
6a² |
a³ |

Right Prism |
Perimeter of Base x Height |
Lateral Surface Area + 2(Area of One End) |
Area of Base x Height |

Right Circular Cylinder |
2 (π x r x h) |
2 πr (r + h) |
πr²h |

Right Pyramid |
½ (Perimeter of Base x Slant Height) |
Lateral Surface Area + Area of the Base |
1/3 (Area of the Base) x Height |

Right Circular cone |
πrl |
πr (l + r) |
1/3 (πr²h) |

Sphere |
4πr² |
4πr² |
4/3 πr³ |

Hemisphere |
2πr² |
3πr² |
2/3 (πr³) |

**Geometry Shapes Formulas for 2D Shapes:**

Geometric Area |
Geometric Area Formula |

Square |
a² |

Rectangle |
a x b |

Circle |
πr² |

Ellipse |
πr₁r₂ |

Triangle |
½ (b x h) |

**Algebra Formulas for Class 8**

- (a+b)² = a² + 2ab + b²
- (a-b)² = a² – 2ab + b²
- a²-b² = (a+b) (a-b)
- (a+b)³ = a³ + 3a²b + 3ab² + b³
- (a-b)³ = a³ – 3a²b + 3ab² – b³
- a³+b³ = (a+b) (a² – ab + b²)
- a³-b³ = (a-b) (a² + ab + 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