CBSE MATHEMATICS (IX-X)

Ch Real number basics  *HCF (a,b) =1 , Then a and b are co primes. *Product of primes Theorem of Arithmetic – Composite Number = Product of Primes *HCF and LCM by prime factorization method: HCF = Product of the smallest power of each common factor in the numbers LCM = Product of the greatest power of each prime factor involved in the number *Important Formula  HCF (a,b) X LCM (a,b) =a X b Click here to get the document  Ch 01,02 X Mathematics Question Bank  Click here for solution 

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Revising previous year X maths questions and conducting chapter-wise revision can be highly beneficial for students for the following reasons: 1. Comprehensive coverage : Revising previous year questions and conducting chapter-wise revision ensures that students cover all the important topics and concepts in the syllabus. This approach helps in identifying areas of strength and weakness, allowing students to focus on improving their understanding of specific topics. 2. Effective time management : By revising previous year questions and following a chapter-wise revision schedule, students can allocate their study time efficiently. This method helps in prioritizing topics based on their importance and weightage in the exam, ensuring that students are well-prepared for all sections of the paper. 3. Improved retention : Revisiting previous year questions and revising chapters systematically helps in reinforcing learning and improving retention of key concepts. This approach ens...

  X th   MATHEMATICS ASSIGNMENT 100424_002 CH.01 REAL NUMBERS   (To prove given number as irrational) Click here to get  same document in pdf form 

  X th   MATHEMATICS ASSIGNMENT 100424_001 CH.01 REAL NUMBERS   (Applications of HCF and LCM) Q.1   Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together? (excluding the one at start)     [ ANS: LCM(2,4,6,8,10,12) = 120 sec= 2 min. ,    15 times] Q.2 The traffic lights at three different road crossings change after every 48 sec, 72 sec and 108 sec respectively. If they all change simultaneously at 8:20:00 hrs, when will they again change simultaneously ?                           [ ANS:  LCM=  432 seconds  =  7 min 12 sec .  Hence  answer is 08:27:12 hrs] Q.3 A merchant has 120 ltrs of and 180 ltrs of two kinds of oil. He wants the sell oil by filling the two kinds of oil in tins of equal volumes. What is th...

The benefits of having a math answer key for students who have appeared in a board exam are numerous: 1. Immediate feedback: Students can quickly check their answers against the correct solutions provided in the answer key. This immediate feedback helps them identify any mistakes they may have made during the exam. 2. Understanding mistakes: By comparing their answers with the answer key, students can pinpoint where they went wrong and understand the correct approach to solving the problem. This helps in learning from mistakes and improving problem-solving skills. 3. Confidence boost: Seeing that they have correctly answered questions in the exam gives students a confidence boost. It reinforces their understanding of the subject and validates their knowledge. 4. Preparation for future exams: Reviewing the answer key helps students identify areas where they need to focus more attention for future exams. It serves as a tool for self-assessment and enables students to gauge th...

Last year's question papers are important for Xth mathematics revision for several reasons: 1. Familiarity with Exam Pattern: By solving last year's question papers, students can become familiar with the exam pattern, types of questions, and marking scheme used in the board exams. This helps them understand the structure of the exam and prepare accordingly. 2. Practice and Revision: Solving previous year's question papers helps students practice and revise the concepts they have learned. It allows them to apply their knowledge to different types of questions and challenges their problem-solving skills. 3. Identify Important Topics: By going through last year's question papers, students can identify the important topics that are frequently asked in the exam. This helps them prioritize their revision and focus on key concepts that are likely to appear in the exam. 4. Time Management: Practicing with previous year's question papers helps stude...