CBSE 10th Mathematics Worksheet- Real Numbers

In this post, you can find the ten most important questions from the Chapter,"Real Numbers".

You can print or save in PDF format.It will help you to recall your Class 10 Mathematics concepts and also helps in your Final Board Exam.


If you are looking for important questions/information from any particular chapter,kindly let me know in comments. I am happy to assist you😊
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Answer the following

1. Show that any positive odd integer is of the form 4q+1 or 4q+3, where q is an integer.

2. Prove that 5+7√ is an irrational number

3. Show that the square of an odd positive integer is of the form 8m + 1, for some whole number m.

4. Check whether ( 15ⁿ) can end with the digit 0.

5. What is the smallest number which when divided by 35, 56, 91, leaves the remainder 7 in each case

6. If d is the HCF of 45 and 27 find x and y satisfying d=27x+45y.

7. Find the LCM and HCF of the pair of integers 120, 70. Also verify that 

LCM x HCF=product of numbers.

8. A Charitable trust donates 28 different books of Maths, 16 different books of Science and 12 different books of Social science to the poor students. Each student is given maximum number of books of one and only one subject of their interest and each student got equal number of books.
a) Find the number of books each student got.
b) Find the total number of students who got books.
c) How does it help our society?

9. In a school there are two sections A and B of class X. There are 48, 60 students in two sections respectively. Determine the least number of books required for the library so that the books can be distributed equally among the students.

10. Class X of a school has 120 boys and 114 girls. The principal of the school decides to have maximum number of mixed sections with equal number of boys and girls. What is the number of such sections? Mention the value depicted.

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