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Class 9 Maths Problems for Number System





Here we are trying to give the Class 9 Maths Problems for Number System. This contains tough/difficult questions on number system class 9. I hope you like the questions

Question 1
Find the value of each of the Following
a. 21/4×21/5
b. 163/4
c. 32.421232
d. 156+216
e. 115/2113/2
f. 53/273/2
g. 1622
h. (8+3)(83)

Solution
a. 21/4×21/5=214+15=29/20
b. 163/4=(24)3/4=18
c. 32.42.1232=21/3.21/4.25/12=213+14+512=2
d. 156+216=156+62×6=156+66=216
e. 115/2113/2=115232=11
f. 53/273/2=(5×7)3/2=(35)3/2
g. 1622=922=9
h. (8+3)(83)=(8+3)(83)×(8+3)(8+3)
=161[64+3+163]=161(67+163)

Question 2
Simplify the below expression
a. 48183216+15532+225
b. 641/3[641/3642/3]
c. 42162/3+12563/4+22431/5

Solution
a.48183216+15532+225=4348363+15525+252
=348+30+25=10

b. 641/3[641/3642/3]=(43)1/3[(43)1/3(43)2/3]=41[416]=2

c.42162/3+12563/4+22431/5=4(63)2/3+1(44)3/4+2(35)1/5
=462+143+231
=144+64+6=214

Question 3
Find the value of p and q such that
5+37+23=p+q3
Solution
5+37+23
=5+37+23×723723
=137×[35103+736]
=137×[2933]
=29373373

Now
29373373=p+q3
so p=2937 and q=337



Question 4
If x=1+3
and
y=1x
Find the value of
i. x2+y2
ii. x2y2
iii. (x+y)2
iv. xy

Solution
x=1+3
x2=(1+3)2=2(2+3)
y=1x=11+3=12(31)
y2=12(23)
Now,
i. x2+y2=2(2+3)+12(23)
=12(10+33)

ii. x2y2=2(2+3)12(23)
=12(8+53)

iii. (x+y)2=(1+332)2=14[28+63]=12(14+33)

iv. xy=3+32

Question 5
Write the following in decimal form and say what kind of decimal expansion each has:
(i) 19100
(ii) 13
(iii) 1112
(iv) 113
(v) 313
(vi) 111400

Solution
Class 9 Maths Problems for Number System

Question 6
Find the value of
11+2+12+3+13+4+...+18+9
Solution
11+2+12+3+13+4+...+18+9
=12+1+13+2+14+3+...+19+8
=12+1×2121+13+2×3232+14+3×4343+...+19+8×9898
=(21)+(32)+(43).....+(98)=2

Question 7
Find the value of
3+22+3223+1231
Solution
=(2+1)2+(21)23+1231
=2+1+213+1231
=223+1231
=22223+1
=0

Question 8
Find the value of
12+3+253+125
Solution
=23+5+32+5=0

Summary

This Class 9 Maths Problems for Number System with answers is prepared keeping in mind the latest syllabus of CBSE . This has been designed in a way to improve the academic performance of the students. If you find mistakes , please do provide the feedback on the mail.



Also Read


Books Recommended

  1. Secondary School Mathematics for Class 9 - CBSE - by R.S. Aggarwal
  2. Oswaal CBSE Question Bank Class 9 Mathematics, Chapterwise and Topicwise Solved Papers
  3. Full Marks Maths Complete Study Material Class 9
  4. Mathematics class 9th and MCQs - by R.D. Sharma



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