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 

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_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 the greatest of such a tin.   [ ANS: HCF =60 ltrs.] Q.4 Find the least number of soldiers in a regiment such that they stand in rows of 15, 20, 25 and form a p

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

NCERT textbooks for Class X Maths cover a wide range of topics that are essential for building a strong foundation in mathematics. Some of the most important questions from the NCERT textbook for Class X Maths include: 1. Real Numbers : Questions related to properties of real numbers, Euclid's division lemma, and the fundamental theorem of arithmetic. 2. Polynomials : Questions on finding zeros of polynomials, factorization of polynomials, and relationships between the zeros and coefficients of polynomials. 3. Quadratic Equations: Questions on solving quadratic equations using different methods such as factorization, completing the square, and the quadratic formula. 4. Arithmetic Progressions : Questions on finding the nth term of an arithmetic progression, sum of n terms of an AP, and applications of AP in real-life situations. 5. Triangles : Questions on properties of triangles, congruence and similarity of triangles, Pythagoras theorem, and applications of trigonomet

1. Maths MCQ from Chapter 01 -08  Click here .    Answers   2. Maths MCQ from Chapter 09-14 Click here

Math Sample paper 01  Click here For Ist Paper 9th  Maths Maths Sample paper 02 Click here For 2nd Paper 9th Maths   For new updates visit the page regularly 

Ch 01 Real numbers Assignment Q1. What is the H.C.F of the smallest composite number and the smallest prime number? (CBSE 2018) Q2. If 'p' is a prime number then what is the L.C.M of p, p2, p3 ? Q3. The product of a non-zero rational and an irrational number is always . Q.4  Three sets of English, Hindi and Mathematics books have to be stacked in such a way that all the books  are stored topic wise and the height of each stack is the same. The number of English books is 96, the number of Hindi books is 240 and the number of Mathematics books is 336. Assuming that the books are of same thickness, determine the number of stacks of English, Hindi and Mathematics books. Q5. Two brands of chocolates are available in packs of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kinds, what is the least number of boxes of each kind I would need to buy? Q6. Can two numbers have 18 as their HCF and 380 as their LCM? Give reason. 7. Can we have any