### 10th Class Mathematics New Syllabus and Question Paper Analysis

Class X is crucial stage in every student’s life. In this context, students must have to gain awareness about new syllabus and implementation of Continuous and Comprehensive Evaluation (CCE) to get success. Mathematics is an important and scoring subject compared to other subjects.

Curricular reforms, revision of syllabus and textbooks for the Class X have been introduced to meet the requirements of National Curriculum framework-2005 and Right to Education Act-2009 provisions. New Mathematics textbook introduced from this academic year i.e. 2014-15.

As new books are introduced the evaluation process is also modified. Examination question paper will be in CCE model. Problems have to be solved based on education standards like problem solving, reasoning - proof, communication, connection, visualization and representation.
Mathematics new textbook has 14 chapters. Except logarithms exercise in real numbers, sets, pair of linear equations in two variables, mensuration and probability, remaining chapters are taken from old syllabus. These 14 chapters have been divided into two parts (Paper 1 and Paper 2).

Paper 1
1. Real Numbers
2. Sets
3. Polynomials
4. Pair of Linear Equations in two Variables
6. Progressions
7. Coordinate geometry
Paper 2
Similar Triangles
8. Tangents and Secants to a Circle
9. Mensuration
10. Trigonometry
11. Some Applications of Trigonometry
12. Probability
13. Statistics
Questions – Weightage
• Blue print of question paper will be developed reflecting weightage to the nature of questions (i.e. short answer, essay…etc) and academic standards. No specific weightage is given to the lessons / units. Questions may be given from any lesson/ any part of the textbook in a jumbled manner.
• During the preparation of question papers, the weightage tables must be kept in view. Types of question are - essay, short answer, very short answer and objective; and questions will also be divided based on academic standards (how many marks and how many questions shall be allocated to each academic standard etc.).
How to get Ready for Exams
Choice will not be given for 2 mark, 1 mark and objective type questions and only internal choice is available for 4 mark questions. Therefore every chapter must be learned completely.

Paper 1
• An average student can easily understand Sets, Quadratic Equations, Progressions and Co-ordinate Geometry chapters. Very little practice is enough to get perfection in these chapters.
• Logarithms in real numbers chapter, geometric and square polynomial graphs in third chapter, finding pair of linear equations in two variables through graph method are important.
Paper 2
• Statistics is the only easiest chapter in paper 2.
• Sufficient practice must be done for remaining chapters to get perfection.
• Theorems and problems related to theorems in chapter 8 have to be thoroughly practiced.
• Problems related to finding the area of major segment, finding the surface area and volume of combination of solid in mensuration chapter, trigonometric ratios in chapter 11 and finding trigonometric ratios for different angles are important.
Exam Pattern
Mathematics subject will have two papers and each paper is of 50 marks value; and the examination duration is 2.30 hours in addition to 15 minutes for reading the question paper.

The 50 marks of each paper is combination of summative assessment and formative assessment.

Summative Assessment
• Three summative tests must be conducted in each academic year for Class X. Public examination is conducted by the Board of Secondary Education in place of third summative test.
• First and second Summative Assessments shall be conducted by schools themselves by preparing question papers for 80% of marks. This ensures that the children are trained to write public exams.
Summative assessment pattern
 Type of questions Number of Questions Marks for each question Total marks Essay type questions 4 4 16 Short answer questions 6 2 12 Very short answer questions 7 1 7 Objective type questions 10 ½ 5

Formative Assessment
20% of marks for the internals are allocated to formative assessment. The areas and marks for the formative assessment are given here under.
 Sl. No. Item for Formative Assessment Marks 1 Mathematics – Generating Mathematical problems under various concepts – Writing and presentation in the classroom. 5 2 A child’s written work in their notebooks – Self expression / writing to the questions/ tasks given in the exercise part under each unit / lesson. The children shall not copy the answers from guides / study materials etc. but they should think and write on their own. (These are basically class room note books) 5 3 Project works 5 4 Slip test 5 Total 20
• A separate notebook for the formative assessment pertaining to three items of serial numbers 1, 3 and 4 of the above table shall be maintained by each student. Serial number 2 talks about running notes taking in classroom. Students must maintain separate notebooks for taking running notes in the classroom.
• These notebooks reflecting children works must be preserved which will be the basis for awarding marks by the teacher and for the verification of officials whenever required. The average of four FAs will be accounted for 20% of marks in public examinations under each subject
Pass Marks and Minimum Marks for Passing
• 35% is the pass marks for all the language and non language subjects. Students must qualify in external exam (SA).
• In non-language subjects, the students need not pass in each of the two papers separately.
• Student must score a minimum of 35% of marks in each subject (aggregate of Paper 1 and Paper 2). Students must secure 28 marks in external public exam.