CBSE Class 10 Mathematics SA1 Revision (5)

Scroll down for PDF

CBSE Class 10 Mathematics SA1 Revision (5)

Worksheets have become an integral part of the education system. Worksheets are very critical for every student to practice his/ her concepts. Students, teachers and parents can download all CBSE educational material and extremely well prepared worksheets from this website. All revision worksheets, Sample papers, Question banks and easy to learn study notes for all classes and subjects have been prepared based on the latest guidelines sent by CBSE. All CBSE educational material is developed by our panel of teachers, have also been submitted by thousands of teachers and students. The study material has been carefully compiled by the best teachers in India. Worksheets have been submitted by teachers of various CBSE schools and also have been carefully developed keeping into consideration the latest CBSE syllabus.

Q1. Show that any positive odd integer is of the form 4q +1 or 4q+3, where q is some integer.

Q2. Use Euclid’s division lemma to show that the square of any positive integer is either of the form 3m or

3m+1, where m is some integer.

Q3.Using Euclid’s division algorithm, find which of the following pairs of numbers are co-prime:-

(i) 231, 396 (ii) 847, 2160 Ans. (ii).

Q4. Show that the square of a positive integer is of the form 8m+1, for some whole integer m.

Q5. Prove that (i) 2  3 and (ii) 3  5 is irrational.

Q6. Show that cube of any positive integer is of the form 4q, 4q +1 or 4q+3, where q is some integer.

Q7. Show that the square of any positive integer cannot be of the form 5m+2 or 5m+3 for any integer m.

Q8. Show that the square of any positive integer cannot be of the form 6m+2 or 6m+5 for any integer m.

Q9. If n are odd integers then show that (n2-1) is divisible by 8.

Q10 Prove that if x and y are both positive odd integer, then x2 +y2is even but not divisible by4.

Q11.Using Euclid’s division algorithm to find the HCF of 441, 567, 69 Ans.63

Q12. Using Euclid’s division algorithm to find the HCF of 210 and 55 If HCF is expressible in the form 210x

+55y, find x and y. Ans. 5, 5, -19,

Q13. Using Euclid’s division algorithm to find the largest number that divides 1251, 9377 and 15628 leaving

remainders 1,2and 3 respectively. Ans. 625.

Q14.Show that 12n cannot end with the digit 0 or 5 for any Natural number n.

Q15. Prove that p  q is irrational where p and q are primes.

Q16. Write the denominator of the rational number

5000

257 in the form 2m x5n, where m, n are nonnegative

integers. Hence write its decimal expansion, without actual division. Ans. m=3,n=4,0.0514

Q17. On a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and 45 cm

respectively. What is the minimum distance each should walk so that each can cover the same

distance in complete steps? Ans. 2520cm.

Q18.Show that the cube of a positive integer of the form 6q +r, q is an integer and r = 0, 1, 2, 3, 4, 5 is also

of the form 6m+r.

Q19.Prove that one and only one out of n, n+2 and n+4 is divisible by 3, where n is any positive integer.

Q20. Prove that one of any three consecutive positive integers must be divisible by 3.

Q21.Prove that (n3-n )is divisible by 6, where n is any positive integer.

Please click the below link to access CBSE Class 10 Mathematics SA1 Revision (5)

Tags: 


Click on the text For more study material for Mathematics please click here - Mathematics

Latest NCERT & CBSE News

Read the latest news and announcements from NCERT and CBSE below. Important updates relating to your studies which will help you to keep yourself updated with latest happenings in school level education. Keep yourself updated with all latest news and also read articles from teachers which will help you to improve your studies, increase motivation level and promote faster learning

CBSE Board Exam Date Sheet of class 10th and 12th

The Central Board of Secondary Education (CBSE) released the Date sheet of Class 10 and Class 12th 2020 examination on the official website cbse.nic.in. The board examination of Class 12 will be conducted from 15 February to 30 March 2020, while the board examination...

Simple tips to Excel in Examinations

We are entering the last quarter of the Academic Session. With examinations just around the corner, I am sure all of us are carrying a mixed bag of Stress, Excitement, and Anxieties!! So, first and foremost- Let’s be Positive and Futuristic! It’s most important to...

CBSE Counseling for Board exam 2020 starts today

The 23rd psychological Counseling starts 1st February (today) for The Class10 and Class12 CBSE students and their parents, by the Central Board of Secondary Education (CBSE).    This Counseling service is cost-free and this counseling service will be available every...

×
Studies Today