While revising for your annual or board exams, it is imperative to have a concrete revision plan. This is especially important for high-scoring subjects like Maths. One of the best ways to revise your maths lessons and practice what you have learned is by solving model question papers and past maths exam papers. Both these types of revision exercises come equipped with solutions and marking schemes, based on the format specified by the respective education boards, such as ISCE or CBSE, or state boards.

Maths question papers of previous years are a very important source to revise the important topics and gain an insight into the pattern of questions. Solving these questions helps students to boost their confidence for the upcoming CBSE and ICSE exams 2021. The accompanying solutions provide students with a comprehensive structure for understanding the right way to present their answers in the exam papers and score high marks.

Know your board exam timetable for 2021 to be well-prepared!

Previous years' board exam papers can be considered an effective way of covering the majority of the Maths syllabus in relatively less time. Annual exams in Class 11 and Board exams in Class 12 are crucial exams in a student’s life. So. students must revise with the previous years' question papers to gain an advantage in their preparedness for the exam.

question paper format
By solving past papers, students can form an idea about the marking scheme and question pattern. | Image source: The Indian Express
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ICSE Maths Question Paper Scheme

Solving past papers helps students gain an understanding of the question paper format and marking scheme of the paper. Based on this, they can strategize their revision methods to focus on areas that need improvement and those areas they are already good at. Let us take a look at the marking scheme of ICSE Maths exams for classes 11 and 12.

ISCE Class 11 Mathematics Marking Scheme

  1. Section A: 65 Marks
    1. Sets and Functions: 20 marks
    2. Algebra: 24 marks
    3. Coordinate Geometry: 8 marks
    4. Calculus: 6 marks
    5. Statistics & Probability: 7 marks
  2. Section B: 15 Marks
    1. Conic Section: 7 marks
    2. Introduction to three-dimensional Geometry: 5 marks
    3. Mathematical Reasoning: 3 marks

OR

  1. Section C: 15 Marks
    1. Statistics: 5 marks
    2. Correlation Analysis: 4 marks
    3. Index Numbers and Moving Averages: 6 marks

Missed out on a chance to clear your Board exams? It's not too late for adults to take Board exams.

ISC Class 12 Mathematics Marking Scheme

  1. Section A: 65 Marks
    1. Relations and Functions: 10 marks
    2. Algebra: 10 marks
    3. Calculus: 32 marks
    4. Probability: 13 marks
  2. Section B: 15 Marks
    1. Vectors: 5 marks
    2. Three-dimensional Geometry: 6 marks
    3. Application of Integral: 4 marks

OR

  1. Section C: 15 Marks
    1. Application of Calculus: 5 marks
    2. Linear Regression: 4 marks
    3. Linear Programming: 6 marks

Know your high school maths syllabus.

CBSE Maths Question Paper Scheme

It is advisable to prepare for your maths exams under the guidance of the best maths tutors near me. Your private tutor will no doubt introduce you to the marking scheme of the CBSE maths question paper. One can easily access PDF versions on the internet and download these past papers and sample papers to lay a solid foundation for scoring high marks in their maths exams. Here is a brief overview of the marking scheme for classes 11 and 12 maths papers.

model question paper
Practice with sample question papers to enhance your chances of scoring high marks in mathematics. | Image source: AglaSem Schools

Class 11 Maths Revision Guide

  1. Sets and Functions: 23 marks
  2. Algebra: 30 marks
  3. Co-ordinate Geometry: 10 marks
  4. Calculus: 30 marks
  5. Mathematical Reasoning: 10 marks
  6. Statistics and Probability: 30 minutes
  7. Internal Assessment: 20 marks

Check out this comprehensive maths guide for classes 11 and 12.

Class 12 Maths Revision Guide

  1. Relations and Functions: 8 marks
  2. Algebra: 10 marks
  3. Calculus: 35 marks
  4. Vectors and Three-Dimensional Geometry: 14 marks
  5. Linear Programming: 5 marks
  6. Probability: 8 marks
  7. Internal Assessment: 20 marks

Benefits of Solving Past Maths Papers

Annual examination and board examinations for Class 12 are really important for all students as their results in these exams play a major role in deciding their prospective careers. Naturally, students remain quite anxious about their performance in the exams. Use past question papers to understand the marking scheme and enhance your chances of scoring higher marks in the Maths exam. In a year full of uncertainties and dependence on online learning, here are a few ways that past papers can help with Maths revision.

How important is maths for your career? Find out here.

Cope with Exam Stress

Practicing maths with CBSE and ICSE sample papers gives you an idea about the type of questions that will be asked in the exam. This helps students to prepare ahead and well enough. The sample papers are based on the actual question paper format, giving students an overview of the paper pattern, including the type of questions, such as short or long answer type questions, most-asked topics, marks distribution, etc. With sample papers, students get to practice better for the exam, and as a result, they are relieved from exam pressure and anxiety.

Preparation Analysis

CBSE and ICSE sample papers are based on the latest syllabus prescribed by the respective boards. These questions are based on most of the important topics from the course covered in the school year. Brief solutions and marking schemes are also available with the sample papers, allowing students to analyze their preparation for the exam. When students practice lots with sample papers, they can discern a pattern of repetition of topics and questions asked in past years' exams.

Accordingly, students can prepare for the most frequently asked questions, or the important questions that enhance their chances of scoring higher. Ideally, students should first solve the sample papers on their own and then cross-check with the solutions or marking schemes to complete their analysis.

Great Revision Technique

Once you have covered the complete syllabus for the exam, it is time to analyze your preparation for each topic. You can do this by solving past papers and sample papers, that include questions from each topic covered across all the chapters, under different sections of the question paper. Solve as many sample papers as possible to cover each topic from the syllabus

Exam Pattern Analysis

It is crucial that you have a thorough understanding of the exam pattern so as to develop a knack for cracking it. This knowledge gives you a clear picture regarding the marks weightage across topics, marks allotted, and most importantly, the repetitive topics in each section of the paper. In other words, an understanding of the exam pattern will help you formulate a strong revision strategy for mathematics.

watch time manage
Solving past papers can help to develop crucial time management skills. | Image source: Sonja Langford on Unsplash

Understand Marking Scheme

In continuance to our point on understanding exam patterns, it is also necessary to have knowledge about the type, nature, and format of the questions being asked in the examination. For example, the questions may be subjective or objective, even if it is a maths paper. The strategy you employ to answer them will depend on the type of questions that are asked. The only way, perhaps, to be prepared to tackle these challenges is by solving previous years' maths question papers.

Boost Self Confidence

Sample papers and past maths papers help students analyze their strengths and weaknesses so that they can improve their results. This goes on to enhance the student's self-confidence and they do their best to obtain higher marks. Also, students can improve on their strengths by practicing with sample papers and past papers.

Improve Speed and Accuracy

By practicing and revising repeatedly with past maths papers, students improve their speed of solving questions. Moreover, with regular practice, students commit fewer mistakes. When students cover each section, topic, and question (repeated in exams), they spend less time on such questions in the exam and hence, complete their paper in time. This also means that students have some extra time to cross-check their answer sheets and look for any errors.

High school maths can be your stepping stone to a flourishing career. Find out how.

Maths may be a difficult subject to master but it is an easy and interesting subject. The key to enjoying mathematics is to understand the concepts and not memorize the topics. It gives students the confidence to excel. Practice makes one perfect and past exam papers help you in turning this dictum a reality. With more practice of past exam papers for CBSE and ICSE Board exams, students can eliminate the chances of attempting wrong questions. Eventually, with improved speed and accuracy, students can confidently ace the maths exam and score good marks.

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Shreyanjana

Shreyanjana is an archaeologist who ironically finds the written word to be the most powerful means of storytelling. A travel buff and a photography enthusiast, she has been writing and sharing stories of all sorts ever since she can remember.