Art of Making and Dealing with Questions by Mr K Bhanumoorthy

 

Questions ----CBSE ----- Part I

“Your success and happiness lie in you. “---- Hellen Killer.

Acquiring application of knowledge, understanding and apply in class X, CBSE, what are learnt in precious classes.

Introduction: The curriculum is prepared in such a manner that is horizontal as well as vertical integration in every subject class wise, upward trend, stage by stage, rather to say from class to class. Primary 1to5, middle class vi to vii, secondary class ix to x, higher xi xii. the word primary means important. the fundamental concepts are being thought. foundation has to be strong enough, so that going to the higher level could be easier. I had an opportunity to go through chapter wise question and model paper in math. Here are some questions which are basics (fundamental) being asked. Unless students are familiarized and have understood the concepts, students will not be able to answer the question paper fully. let me discuss and begin from MCQs.

Evaluation tests are being conducted to assess and be aware of, how far students have understood the concepts and be familiarized with competency-based questions, case study questions TESTS. this trust nothing but self-evaluation for teachers’ fraternity.

Number system:

a)Prime number: It’s a number greater than 1, is divisible only by one and number itself.

b)Twin primes: They are pairs of prime numbers those have a difference of two. E.g. (3,5), (5,7) ………

c) Co- prime numbers: They are pairs of numbers that have no common factor other than 1. E.g. (21 and 22 tests), (9and 14), (1,3,9), (2,14,7).

d) Factor: It is a devisor of a given number. E.g. 3and 2 are factors of   6, 6= 3x2, 6=1x6.  factors of 6 are 1,2,3, 6. (The number 1 and number itself included in the factors.)

e) Multiples: the multiples of a number are multiplying a number by the set of natural numbers e.g. multiples of 4 are 4,8,12,16, 20……... (multiplication table of 4)

f) HCF: highest common factor; LCM lowest common multiples. for a given set of numbers say a and b we can find HCF and LCM. there is a relation it goes like this HCF x LCM = the product of the two given numbers.

That is HCF x LCM = a x b

There are statement questions in using the concepts / principles, in HCF and LCM. Students are to be taught where HCF and LCM to be used.

E.g.: 1.  A circular track around a playfield has a circumference of 540m. Two people say A and B do cycling at constant speed of 6m/sec and 9m / sec respectively. Around the track. They do start from a same point. After how many minutes, will they meet again at the starting point.

Time taken by a to complete one round 540/ 6 = 90secs, while B takes to complete one round 540/ 9 = 60 secs.  We have to find the LCM 0f 90 and 60. The least common multiple is 180 secs. So, they meet again after 3 minutes (180/ 60).

2.In a teachers training, the number of teachers who teach the undermentioned subjects, Physics 20, chemistry 30and English 40. In each room the same number of teachers are seated and all of them are teaching same subject. Find the minimum number of rooms required.

Ans: For this question one has to find the HCF of 20,30 and 40. HCF is10. The number of rooms required is 20/10 + 30/10 + 40/10 = 2+3+4 = 9. 

g) Rational numbers: it is a number which can be written in the form of p/q, where p and q are integers and q is not equal to zero e.g. 2/5.

h) Irrational number: it is a number which cannot be written in the form p/q, where p and q are integer and q is not equal to zero. it is non- terminating, non-repeating, non-oscillating. There is various way to prove a given number is an irrational number.

Eg: Ö2, Ö3, Ö21.

 Öa + Öb ≠ Ö a+b, while Öa x Öb = Öaxb = Öab.

2Ö2 +  Ö3 is irrational. 2 Ö5 --Ö2 is also irrational.

i) Prime factorization: it is finding the factors for a given number. E.g. for a given number 48 this can be written as 36= 2 x 2 x 3 x3 = 2² x 3², 400= 2 x 2 x 2 x 2x 5x 5 = 2⁴ x 5²; 120 = 2x2x2x3x5 = 2³ x 3 x 5.

--------------------------------------------------- be continued.