SAINIK SCHOOL GOPALGANJ MATHEMATICS HOLIDAY HOMEWORK SUMMER VACTION 2015 - 16 CLASS : 7 A & 7 B 1. Find the mean and range of age of your family member and neighbor after arranging them in tabular form. 2. Draw a bar graph for the rate of 5 commodities used at your home for week for summer vacation. 3. Show by parts of circle the addition of 1/6 and 2/6. 4. Prepare a Magic Square. CLASS : 8 A 1) Write an essay on any mathematician and their contribution (except C V Ramanujam and Aryabhatta). 2) Compare any two games of your choice in respect to area , weight ,volume, time and overall marking of the playing field. 3) Make cut out of 2D colored figure with respect to Chapter 3. 4) Prepare a statistical data for a personality of your choice. CLASS : 8 B 1) Prepare the budget analysis of your home expenditure for the month of May and June 2015. 2) Write a short note on Polygon. 3) For your journey from SSGJ to your home town in summer vacation 2/3 of your journey you travelled by bus remaining by train. The rate of travelling by bus is 3 times that of by train per Km. Prepare a linear equation in one variable by calculating your total fare from SSGJ to your town. 4) The tailor in your locality charge 3/2 of the stitching charge of the shirt for the pant. You have paid Rs 2500 to the tailor for stitching for your family members. For how many members you got the dress stitched. CLASS : 9 (A & B) 1) Compare any two games of your choice in respect to area , weight ,volume, time and overall marking of the playing field. 2) Analyze the performance of Indian Olympic Team since 1984. 3) 15. Read and analyse the union general budget of India for the financial year 2014- 4) Revise in holiday homework copy chapter 1 , 2 and 3. Class X A & X B Perform the following Group Activities: 1. Fourth Order Magic Dance. 2. Lice Lattice. Perform the following projects: 1. Development of Number system with their needs. 2. Chronology of Indian Mathmaticiana with their contributions. 3. Chronological development of solution of a quadratic equation. 4. Pythagoras theorem – proofs other than given in the text book. 5. Extensions of Pythagoras theorem. 6. Generation of Pythagorean triplets. 7. Magic Squares. 8. Mathematical design and patterns. 9. Indian mathematician and their contributions. 10. Ramanujam number (1729). 11. Mathematical Crossword. 12. Applications of Geometry in day-to-day life. 13. Applications of Algebra in day-to-day life. 14. Application of mensuration in day-to-day life. 15. Surface areas and volumes of combination of solids. 16. Design and build a model of house. 17. Design and build a model of an airship or a navalship. CLASS : XI All tasks are compulsory. 1) Make a chart of all the important concept of class XI mathematics. 2) Solve all the problems of miscellaneous exercise on chapter 1 page 26. 3) Make a project on union and intersection , union , complementary of sets with the help of venn diagrams. 4) Solve all the problems of topic Relations and functions. 5) Solve all the problems of Ex 3.3 page 73, miscellaneous of Exercise on chapter 3 page 81. HOME WORK OF MATHEMATICS IN SUMMER VACATION IN SESSION 2015-16 CLASS - XII All the problems of the following topics from NCERT book, NDA book (RS Agarwal, Tata Magrawhill/Pearson, Arihant) 1. 2. 3. 4. 5. 6. 7. 8. 9. Sets, relations and functions Inverse Trigonometric functions Matrices and Determinants Continuity, Derivatives and application of derivatives Three Dimensional geometry Vector Algebra Integration (substitutions and all special type problems done in the class upto chapter 7.5) Algebra (all chapters which are in NDA syllabus) Trigonometry (all chapters which are in NDA syllabus) Note :All the class XII students are requested to solve these given problems during holiday.