Case Study 1: To enhance the reading skills of grade X students, the school nominates you and two of your friends to set up a class library. There are two sections- section A and section B of grade X. There are 32 students in section A and 36 students in section B.
1. What is the minimum number of books you will acquire for the class library, so that they can be distributed equally among students of Section A or Section B? a) 144 b) 128 c) 288 d) 272
2. If the product of two positive integers is equal to the product of their HCF and LCM is true then, the HCF (32 , 36) is a) 2 b) 4 c) 6 d) 8
Case Study 2: A seminar is being conducted by an Educational Organisation, where the participants will be educators of different subjects. The number of participants in Hindi, English and Mathematics are 60, 84 and 108 respectively.
1. In each room the same number of participants are to be seated and all of them being in the same subject, hence maximum number participants that can accommodated in each room are a) 14 b) 12 c) 16 d) 18 2. What is the minimum number of rooms required during the event? a) 11 b) 31 c) 41 d) 21 3. The LCM of 60, 84 and 108 is a) 3780 b) 3680 c) 4780 d) 4680
4. The product of HCF and LCM of 60,84 and 108 is a) 55360 b) 35360 c) 45500 d) 45360
Case Study 3: A Mathematics Exhibition is being conducted in your School and one of your friends is making a model of a factor tree. He has some difficulty and asks for your help in completing a quiz for the audience.
1. What will be the value of x? a) 15005 b) 13915 c) 56920 d) 17429
2. What will be the value of y? a) 23 b) 22 c) 11 d) 19
3. What will be the value of z? a) 22 b) 23 c) 17 d) 19
4. According to Fundamental Theorem of Arithmetic 13915 is a a) Composite number b) Prime number c) Neither prime nor composite d) Even number
Polynomials Case Study: The below picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.
1. In the standard form of quadratic polynomial, , a, b and c are a) All are real numbers. b) All are rational numbers. c) ‘a’ is a non zero real number and b and c are any real numbers. d) All are integers.
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