4 Tips to Score the Maximum Marks in CBSE Class 12 Maths Exam

The mark of a new academic year has already been rolled out, along with the updated syllabus for 2021-22. The global pandemic has significantly altered the educational system with virtual classrooms, online tutorials, sessions and online examinations. Students have been mainly affected by the average quality of education provided by their educators. Moreover, the online examinations have merely challenged the students to test their knowledge.

However, several boards of education have amended their bylaws and regulations not to conduct their assessments and board examinations this year vowing to the current COVID-19 pandemic situations across the country. Major boards in India such as the CBSE and ICSE have even cancelled their Class 10 and 12 board examinations for the year 2021. This also led to the evaluation and consideration of marks scored in the previous classes for finalising a score or percentage for Classes 10 and 12.

Hence, students from now need to take up their in-house final examinations seriously since the situation is unpredictable and will be until the following year. Moreover, to ace the board exams, students must have a strong foundation of concepts from their previous classes.

When it comes to CBSE Mathematics, it’s suggested that students initially learn concepts and practice the NCERT textbook’s exercise problems. This aids in building a strong foundation of the key concepts essential in problem-solving. Apart from NCERT textbooks, it’s highly recommended that students practise problems of RD Sharma book to strengthen their conceptual knowledge and problem-solving skills across various models. 

To acquire a firm grip over the concepts of Class 11, students should refer to the RD Sharma Solutions Class 11. These solutions provide insights on how to solve problems efficiently and quickly. Further, the Class 11 RD Sharma Solutions can also be used to quickly brush up key topics and formulae without any time constraints.

Now, here are a few tips to crack the CBSE Class 12 Maths exam:

1. Know the syllabus

The first and foremost thing to do before kickstarting preparations is to have complete knowledge of the syllabus. This helps in framing and optimising a proper study timetable for the students. Also, knowing the syllabus can prevent students from losing easy marks due to unpreparedness.

2. Learn and practise from NCERT textbooks

The Class 12 NCERT textbooks for Mathematics provide a strong foundation of concepts and help boost the students’ problem-solving skills. It’s advised that students solve the chapter-wise exercise problems of the NCERT textbook first before moving on to other reference/study materials.

3. Practise problems from other reference books

It’s crucial for students to choose a suitable study material or reference guide to widen and strengthen their conceptual knowledge further. The RD Sharma Solutions Class 12 is the best pick for students to serve that purpose. These RD Sharma Solutions are created by subject experts according to the latest CBSE syllabus and marking schemes.

4. Solve previous years question papers

The best mode of revision that students can opt for is by solving previous years question papers. This significantly helps students analyse their weaker areas to concentrate on them before taking up the main examination. In addition, solving these papers helps students become familiar with the exam pattern and types of questions asked.

 

By putting the above-mentioned tips into practice, students can essentially eliminate their exam fears and become confident before and during exams.

 

Wants to learn about primary torsion and secondary torsion?

We all have heard of this phrase that God is omnipresent. This phrase applies to modern-day technology as well. Wherever we go, we could find one very important phenomena you all have heard of. I am talking about Force or load. Whatever we do is all related to force. Even while typing, we are putting our finger force on the key of the board that results in a display of that letter on the screen. This phenomenon is vastly applicable for each branch of engineering. Since we are dealing with civil engineering so now we shall be discussing the load or force being acted on building or any infrastructure.

Force is the push or pulls that tends to move or stop the object. Here also one very important term comes into play that is stress. Stress is the force being acted on one particular area. Technically, stress is Force upon the area and Newton per mm square is its SI unit. Every activity happening around the world depends on stress. In simple words, we can say that stress is resistance against any load acting. There are many types of stress. On every object, either single stress is been acted or combined stress is been acted altogether.

There lie many types of stresses which four main types are Tensile stress, compressive stress, shear or torsional stress, and lastly bending stress. Here we shall be knowing about torsional stress.

Torsional stress has evolved from the term known as torque. Torque is the net sum of two forces been acted in opposite directions on the same line parallel to each other which tends to rotate or twist the object. Some of the common examples of torque in every day’s life are:-

  • The tire rotates as a result of torque been acted.
  • The tightening up of the screw is all result of torque.
  • While we walk on the first floor of a building, our body force being acted downwards and resistance against the force by the longitudinal wall to which that floor is been attached is an example of torque.

From torque, torsion has been derived. One of the same thing but torque is used in a more generalized form while torsion is more into the technical aspect.

Torsion is categorized into two types. One is primary torsion and another one is secondary torsion. While to rotate or twist any object, we apply two forces in opposite directions at the same line parallel to each other. The first force is the primary torsion while the second force is the secondary torsion. The primary torsion is required for the basic static equilibrium and secondary torsion is the type of torsion which satisfies the compatibility condition between members. The combined form of primary and secondary torsion results in a couple.

Calculating torsion plays a crucial role in the overall design of a building. What dimensions we need is all about designing. And designing is more into calculating all types of stresses been acted. Calculating torsion is one aspect of that design.

Cal

Where,

T=Torque or moment of torque in Nm.

J=Torsional constant in m4

r= distance between the rotational axis to the farthest point in the section.

l= length of an object over which torque is applied

G= Modulus of rigidity or shear modulus. Simply, we can say that sheer modulus is the ratio of shear stress over shear strain having no unit.

While we have got all the values of the equation, we can easily find out the value of torsion through the above equation. J is the torsional constant which remains the same throughout.

As of now, I am sure you all are been familiar with torsion and equations to calculate it. Now we shall be looking at various cases or conditions under which torsional stresses are been calculated.

Case 1 for irregular buildings- suppose we have an L-shaped building. One stress is being acted from downward direction upwards and the other being acted on the perpendicular side at the perpendicular end as shown below.

calculation 2

The concentrated load will be at the slanted line at the mid-point at which two different stress is been acted. Thus torsional stress acting might result in collapse or failure of the building due to two irregular loads being acted denoted by the two arrows shown above.

Case 2 for regular building but irregular load being acted- in many cases, suppose a two-story building divided into two blocks above as shown below.

calculation 3

One block has a bedroom while other has the stairs. Since under the condition of load, bedroom will have less load while stair block will have more load. Therefore, the resultant torsional stress will be unbalanced and may fail the building if applied in excess.

Above are the two applications in which torsion is been acted in common form.

Summarising the whole content, in short, torsional stress known as shearing stress is the utmost for every civil engineer who is willing to opt for their career in the designing field. Torsional stress is the stress that is been acted on wide areas of the subject in every aspect of designing. For getting the detail and in-depth knowledge about torsion, a lot of lucrative online platforms are there on online media whose graphic quality is such which catches the eye of the reader at very first glance. But not to get fooled by all that. The civil era has emerged as the perfect Civil Engineering online Courses platform for every civil engineering aspirant which has a structured course enabling everyone to learn at a lesser time. The cost too is minimal. Even free modules are available that you can avail. Even you can go through the blogs having a piece of detailed and interesting information as a whole in the civil era.

Thanks for going through the content. I am sure you all have found it quite interesting and informative. Stay tuned for much more. Till then, opt for civil era online courses for top class courses modules that none of you can regret later.