Case study 1:
Teaching Mathematics through activities is a powerful approach that enhances students’ understanding and engagement. Keeping this in mind, Ms. Mukta planned a prime number game for class 5 students. She announces the number 2 in her class and asked the first student to multiply it by a prime number and then pass it to second student. Second student also multiplied it by a prime number and passed it to third student. In this way by multiplying to a prime number, the last student got 1,73,250. [CBSE 2024]
Now, Mukta asked some question as given below to the students :
(i) What is the least prime number used by students ? 1
(ii) (a) How many students are in the class ? 2
OR
(ii) (b) What is the highest prime number used by student ? 2
(iii) Which prime number has been used maximum times ? 1
Solution: –
(i) Prime factorisation of 173,250 is
= 2×3×3×5×5×5×7×11
The least prime number used by students = 3
(ii) (a) There is 8 prime factor of 173,250
Prime factor 2 announce by Ms Mukta then the number of students in her class are
= 7
OR
(ii) (b) The highest prime number used by students = 11
(iii) Prime factorisation of 173,250 is
= 2×3×3×5×5×5×7×11
In this prime factorisation, maximum times use prime number is = 5
Case study 2:-
A stable owner has four horses. He usually tie these horses with 7 m long rope to pegs at each corner of a square shaped grass field of 20 m length, to graze in his farm. But tying with rope sometimes results in injuries to his horses, so he decided to build fence around the area so that each horse can graze. [CBSE 2024]
Based on the above, answer the following question :
(i) Find the area of the square shaped grass field . 1
(ii) (a) Find the area of the total field in which these horses can graze . 2
OR
(ii) (b) If the length of the rope of each horse is increased from 7 m to 10 m, find the area grazed by one horse. (Use π = 3.14) 2
(iii) What is area of the field that is left ungrazed, if the length of the rope of each horse is 7 m ? 1
Solution : See the full solution
Case study 3:-
Vocational training complements traditional education by providing practical skills and hands-on experience. While education equips individuals with a broad knowledge base, vocational training focuses on job- specific skills, enhancing employability thus making the student self reliant. Keeping this in view, a teacher made the following table giving the frequency distribution of students/adults undergoing vocational training from the training institute.
From the above answer the following questions: [CBSE 2024]
(i) What is the lower limit of the model class of the above data ? 1
(ii) (a) Find the median class of the above data. 2
OR
(b) Find the number of participants of age less than 50 years who undergo vocational training. 2
(iii) Give the empirical reletionship between mean, median and mode. 1
Solution :- See full solution
