Real Number chapter 1. Class 10, Schemes and Mind Maps of Mathematics

In This notes most probably some questions come in exam.

Typology: Schemes and Mind Maps

2025/2026

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Class 10 Abhay 2026
th
DPP #1
#LP 1 : In a teachers workshop , the number of teachers teaching
French , Hindi and English are 48 , 80 and 144 respectively. Find the
minimum number of rooms required if in each room the same number
of teachers are seated and all of them are of the same subject.
[CBSE 2024]
#LP 2: Find the greatest number which divided 85 and 72 leaving
remainders 1 and 2 respectively. [CBSE 2023]
#LP 3: (i) Find the LCM and HCF of 78 , 91 and 195.
(ii) Check whether LCM ( a , b , c ) X HCF ( a , b , c ) = a X b X c where
a , b and c are natural numbers. Show your work.
#LP 4: Three bells ring at intervals of 6 , 12 and 18 minutes. If all the
three bells rang at 6 a.m. , when will they ring together again ?
[CBSE 2023]
#LP 5: National Art convention got registrations from students from all
parts of the country , 60 are interested in music , 84 are interested in
dance and 108 students are interested in handicrafts. For optimum
cultural exchange , organisers wish to keep them in minimum number
of groups such that each group consists of students interested in the
same art form and the number of students in each group is the same.
Find the number of student in each group. Find the number of groups
in each art form. How many rooms are required if each group will be
allotted a room.
[ CBSE SQP 2023-24]
#LP 6: Aadya has 143 stamps ; she gives away 11 stampls and divides
the remaining equally into groups. Sumit has 220 stamps ; he gives
away 11 stamps and divided the remaining equally into groups.
(i) What is the number of groups ?
(ii) What is the number of stamps in Aadyas and Sumits groups ?
AIM 100 / 100
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Class 10 Abhay 2026

th

DPP

#LP 1 : In a teacher’s workshop , the number of teachers teaching French , Hindi and English are 48 , 80 and 144 respectively. Find the minimum number of rooms required if in each room the same number of teachers are seated and all of them are of the same subject. [CBSE 2024] #LP 2: Find the greatest number which divided 85 and 72 leaving remainders 1 and 2 respectively. [CBSE 2023] #LP 3: (i) Find the LCM and HCF of 78 , 91 and 195. (ii) Check whether LCM ( a , b , c ) X HCF ( a , b , c ) = a X b X c where a , b and c are natural numbers. Show your work. #LP 4: Three bells ring at intervals of 6 , 12 and 18 minutes. If all the three bells rang at 6 a.m. , when will they ring together again? [CBSE 2023] #LP 5: National Art convention got registrations from students from all parts of the country , 60 are interested in music , 84 are interested in dance and 108 students are interested in handicrafts. For optimum cultural exchange , organisers wish to keep them in minimum number of groups such that each group consists of students interested in the same art form and the number of students in each group is the same. Find the number of student in each group. Find the number of groups in each art form. How many rooms are required if each group will be allotted a room. [ CBSE SQP 2023-24] #LP 6: Aadya has 143 stamps ; she gives away 11 stampls and divides the remaining equally into groups. Sumit has 220 stamps ; he gives away 11 stamps and divided the remaining equally into groups. (i) What is the number of groups? (ii) What is the number of stamps in Aadya’s and Sumit’s groups?

AIM 100 / 100

#LP 7: Find by prime factorization the LCM of the numbers 18180 and

  1. Also , find the HCF of the two numbers. [ CBSE 2023 ]

AIM 100 / 100