The Central Board of Secondary Education (CBSE) conducts practical examination for Class X students. This laboratory manual has been designed to help Class X students prepare for Activities, Projects and Viva Voce for Mathematics. The present book for CBSE Class X Mathematics Activities, Projects and Viva Voce has been divided into two parts namely Activities (Term I & Term II) and List of projects covering the syllabi of Term I and Term II. The Activities (Term I) section covers activities like To construct a square root spiral, to represent some irrational numbers on the number line, To verify exterior angle property of a triangle, to verify experimentally the different criteria for congruency of triangles using triangle cut outs, etc. whereas the Activities (Term II) covers To find the formula for the area of a trapezium experimentally, To verify that the triangles on the same base & between the same parallels are equal in area, To verify that the angles in the same segment of a circle are equal, To verify that the opposite angles of a cyclic quadrilateral are supplementary, To form a cuboid & find the formula for its surface area experimentally, To form a cone from a sector of a circle, To obtain the formula for the surface area of a sphere, etc. The Projects section covers To develop Heron’s formula for area of a triangle, Extensions of Phythagoras Theorem, Magic Squares, Mathematical designs & patterns, Ramanujan number, Mathematical crosswords, Application of geometry in day-to-day life, Golden rectangle & golden ratio, Knowledge & classification of solid figures with respect to surface areas & volumes, etc. As the book cum laboratory manual covers all the experiments and viva voce, it for sure will help Class X students prepare their best for CBSE Class X Mathematics Practical Examination.

Table of Contents:
Activities (Term l) • Activity 1. To find the HCF of two numbers experimentally based on Euclid Division Lemma. • Activity 2. To draw graph of a quadratic polynomial and observe 7 (i) the shape of the curve, when the coefficient of x is positive. (ii) the shape of the curve, when the coefficient of x is negative(iii) its number of zeroes. • Activity 3. To verify the conditions for consistency/inconsistency for a pair of linear equations in two variables by graphical method. • Activity 4. To draw a system of similar squares, using two intersecting strips with nails. • Activity 5. To draw a system of similar triangles, using Y-shaped strips with nails. • Activity 6. To establish the criteria for similarity of two triangles • Activity 7. To verify Basic Propotionality Theorem (Thales Theorem). • Activity 8. To find the relationship between area and sides of similar triangles. • Activity 9. To verify experimentally that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides. • Activity 10. To verify Pythagoras Theorem. • Activity 11. To verify Pythagoras Theorem by Bhaskara Method. • Activity 12. To draw a cumulative frequency curve (or an ogive) of less than type. • Activity 13. To draw a cumulative frequency curve (or an ogive) of more than type. - Activities (Term lI) • Activity 14. To obtain the solution of a quadratic equation (x + 4x = 60) by completing the square geometrically. • Activity 15. To identify arithmetic progressions in some given lists of numbers (patterns). • Activity 16. To find the sum of the first n natural numbers. • Activity 17. To find the sum of first n odd natural numbers • Activity 18. To find the sum of first n even natural numbers. • Activity 19. To establish a formula for the sum of first n terms of an arithmetic progression. • Activity 20. To verify experimentally that the tangent at any point to a circle is perpendicular to the radius through that point. • Activity 21. To find the number of tangents from a point to the circle. • Activity 22. To verify that the lengths of tangents to a circle from some external point are equal. • Activity 23. To draw a quadrilateral similar to a given quadrilateral as per given scale factor (less than 1). • Activity 24. To find the height of a building using a clinometer. • Activity 25. To determine experimental probabilty of 1, 2, 3, 4, 5 or 6 by throwing a die 500 times and compare them with their theoretical probability. • Activity 26. To determine experimental probabilty of a head (or a tail) by tossing a coin 1000 times and compare them with their theoretical probability. • Activity 27. To verify the distance formula by graphical method. • Activity 28. To verify section formula by graphical method. • Activity 29. To verify the formula for the area of a triangle by graphical method. • Activity 30. To obtain formula for area of a circle experimentally. • Activity 31. To form a frustum of a cone. • Activity 32. To obtain formulae for the surface area and the volume of a frustum of a cone. - List of Projects 1. To develop Heron's formula for area of a triangle 2. Story of p 3. Chronology of Indian Mathematicians with their contributions 4. Chronological development of solution of a quadratic equation 5. Development of formula for the area of a cyclic quadrilateral 6. To prove Pythagoras Theorem (by the method other than given in textbook) 7. Extensions of Pythagoras Theorem 8. With rectangle of given perimeter, finding the one with a maximum area and with rectangle of given area, finding the one with least perimeter 9. Knowledge and classification of solid figures with respect to surface areas and volumes 10. Sum of the exterior angles of a polygon taken in an order 11. Generation of Pythagorean triplets 12. Magic squares 13. With cuboid of given surface area, finding the one with maximum volume and with cuboid of given volumes, finding one with least surface area 14. Mathematical designs and patterns 15. Indian mathematicians and their contributions 16. To prepare a list of quotations on Mathematics 17. Ramanujan number (1729) 18. Mathematical crosswords 19. Application of geometry in day-to-day life 20. Application of algebra in day-to-day life 21. Application of mensuration in day-to-day life 22. Golden rectangle and golden ratio