CBSE Class 7 Mathematics Exponents And Powers Worksheet Set C

Read and download free pdf of CBSE Class 7 Mathematics Exponents And Powers Worksheet Set C. Students and teachers of Class 7 Mathematics can get free printable Worksheets for Class 7 Mathematics Chapter 13 Exponents and Powers in PDF format prepared as per the latest syllabus and examination pattern in your schools. Class 7 students should practice questions and answers given here for Mathematics in Class 7 which will help them to improve your knowledge of all important chapters and its topics. Students should also download free pdf of Class 7 Mathematics Worksheets prepared by teachers as per the latest Mathematics books and syllabus issued this academic year and solve important problems with solutions on daily basis to get more score in school exams and tests

Worksheet for Class 7 Mathematics Chapter 13 Exponents and Powers

Class 7 Mathematics students should refer to the following printable worksheet in Pdf for Chapter 13 Exponents and Powers in Class 7. This test paper with questions and answers for Class 7 will be very useful for exams and help you to score good marks

Class 7 Mathematics Worksheet for Chapter 13 Exponents and Powers



Question. Evaluate: (16/81)3/4
(A) 9/2
(B) 2/9
(C) 8/27
(D) 27/8
Answer : C

Question. What is the value of (512)-2/9?
(A) 1/2
(B) 2
(C) 4
(D) 1/4
Answer : D

Question. Simplify (32)-2/5 + (125)-2/3.
(A) 4/25
(B) 25/4
(C) 2/5
(D) 5/2
Answer : B

Question. If xY = yx, find the value of (x/y)x/y
(A) Xx/Y
(B) Xx/Y - 1
(C) Xy/x 
(D) Xy/x - 1
Answer : B

Question. Evaluate (5)0.25 X (125)0.25/( 256)010 x (256)0.15 .
(A) √5/2
(B) 5/4
(C) 25/2
(D) 25/16
Answer : B

Question. What is the value of (67.542)2 - (32.458)2 / 75.458 - 40.374 ?.
(A) 1
(B) 10
(C) 100
(D) -10
Answer : C

Question. Which of the following values are equal?
I. 14 II. 4°
Ill. 04 IV. 41
(A) I and II
(B) II and Ill
(C) I and Ill
(D) I and IV
Answer : A

Question. Find the sum of the powers of the prime factors in 108 x 192.
(A) 5
(B) 7
(C) 8
(D) 12
Answer : D

 

Question. What is the value of (3°- 4°) X 5-3?
(A) 25
(B) 0
(C) -25
(D) -125
Answer : B

Question. What is the solution of 33x-5 = 1/9X ?
(A) 5/2
(B) 5
(C) 1
(D) 7/3
Answer : C

Question. Find the value of [(- 3)( -2)](-3)
(A) 729
(B) 32
(C) 64
(D) -729
Answer : A

Question. Compute (64)-1/6 x (216)-1/3 x (81)1/4 / (512)-1/3 x (16)1/4 x (9)-1/2
(A) 3
(B) 6
(C) 1
(D) -6
Answer : A

Question. Find the value of 33√2 X 73√6 X 53√18.
(A) 545
(B) 500
(C) 630
(D) 360
Answer : C

Question. Find the value of (-3)0 - (- 3)3 - (- 3)-1 +(-3)4 -(-3)-2.
(A) 109(2/9)
(B) 102(2/9)
(C) 109
(D) 110
Answer : A

Question. Evaluate 

""CBSE-Class-7-Mathematics-Exponents-And-Powers-Worksheet-Set-C

(A) 3(173/440)
(B) 3(17/44)
(C) 3(137/322)
(D) 3(21/440)
Answer : A

 

Question. What is the simplified form of

""CBSE-Class-7-Mathematics-Exponents-And-Powers-Worksheet-Set-C-1

Answer : B

 

Question. If 3n = 729, find the value of 33n + 1.
(A) 321
(B) 310
(C) 319
(D) 315
Answer : C

Question. If 27x + 1 = 9x + 3 = 3Y, find the respective values of 'x' and y
(A) 3 and 12
(B) 12 and 3
(C) 6 and 6
(D) 4 and 9
Answer : A

Question. Find (0.000064) 514 x (0.04)514.
(A) 210.1010
(B) 210.10-10
(C) 2-10.1010
(D) 2-10 10-10
Answer : B

Question. Find the value of 1/1+x +1/1+xm
(A) 0
(B) xm
(C) 1
(D) x-m
Answer : C

Question. Give the simplified form of 3a 4a-2 25a+1 / 9a-12a+15a-2
(A) 3a-2 . 2a-5 . 5a+4
(B) 2a-s . 3a+2 . 5a+4
(C) 2a+5 . 3-a+2. 5a+4
(D) 2a-5 . 3-a+2 . 5a+4
Answer : B

Question. Which is greater of 212 and 38?
(A) 38
(B) 212
(C) Both are equal.
(D) Cannot be compared.
Answer : A

Question. What is the simplified form of (Xa+b)3 . (Xb+c)3 . (Xc+a)3/(Xa . Xb . Xc) ?
(A) 0
(B) 1
(C) Xa+b+c
(D) X
Answer : B

Question. By what number should we multiply 4-3 so that the product may be equal to 64?
(A) 45
(B) 212
(C) 26
(D) 1
Answer : B

Question. What is the number to be multiplied by (-7)-1 so as to get 10-1 as the product?
(A) -7/10
(B) 7/10
(C) 9/10
(D) -3/10
Answer : A

Question. What is the value of (6-1- 8-1) + (2-1- 3-1)-1?
(A) 25
(B) 30
(C) 35
(D) 40
Answer : B

Question. If (25)x = (125)Y, find X : y.
(A) 1 : 1
(B) 2 : 3
(C) 3 : 2
(D) 1 : 3
Answer : C

Question. What is the standard form of 6020000000000000?
(A) 6.02 X 1015
(B) 6.02 X 1013
(C) 602 X 1013
(D) 602 X 10-15
Answer : A

Question. What is the usual form of 1.0001 x 1 09?
(A) 100010000
(B) 1000100000
(C) 10001000000000
(D) 10001000000
Answer : B

Question. The size of a plant cell is 0.0000127 5 m .
Express this size in standard form.
(A) 1.25 X 108 m
(B) 1.275 x 105 m
(C) 1.275 x 10-8 m
(D) 1.275 x 10-5 m
Answer : D

Question. Evaluate {(3/4)-1 (1/4)-1}-1
(A) 3/16
(B) -3/8
(C) 16/3
(D) -8/3
Answer : B

Question. A box has 5 books, each 20 mm thick and 5 cards each 0.016 mm thick. What is the total thickness?
(A) 1.0008 x 104 mm
(B) 1.008 x 103 mm
(C) 1.0008 x 102 mm
(D) 1.0008 x 105 mm
Answer : C

Question. The size of a red blood cell is 0.000007 m.
The size of a plant cell is 0.0000127 5 m.
Compare them.
(A) 2
(B) 4
(C) 5
(D) -5
Answer : A

Question. By what number should (-8)-1 be divided to get 10-1?
(A) 4/5
(B) -5/4
(C) -4/5
(D) 5/4
Answer : B

 

Mark tick against the correct answer in each of the following:

1. (6-1– 8-1)-1 =?
(a) (-1/2) (b)-2 (c) (1/24) (d) 24
Solution:- (D) 24
We know that, = (6)-1= (1/6)1 … [∵ (a/b)-n
= (b/a) n] = (8)-1
= (1/8)1 … [∵ (a/b)-n
= (b/a) n] Now subtract,
= {(1/6) – (1/8)}-1
= {(4-3)/24}-1 … [LCM of 6 and 8 is 24]
= {1/24}-1
= {24/1} = 24


2. (5-1 × 3 -1)-1
(a)(1/15) (b)(-1/15) (c) 15 (d)-15
Solution:- (c)15
We know that,
= (5)-1= (1 /5)1 … [∵ (a/b)-n
= (b/a) n] = (3)-1 
= (1/3)1 … [∵ (a/b)-n
= (b/a) n] Now multiply,
= {(1/5) × (1/3)}-1 
= {(1×1)/ (5×3)}-1
= {1/15}-1
= {15/1}
= 15


3. (2-1 – 4-1)2 (a) 4 (b)-4 (c) (1/16) (d) (-1/16)
Solution:- (c) (1/16)
We know that, = (2)-1
= (1/2)1 … [∵ (a/b)-n
= (b/a) n]
= (4)-1
= (1/4)1 … [∵ (a/b)-n 
= (b/a) n]
Now subtract,
= {(1/2) – (1/4)} 2
= {(2-1)/4}2 … [LCM of 2 and 4 is 4]
= {1/4}2
= {12/42}
= {1/16}


4. (1/2)-2 + (1/3)-2 + (1/4)-2 =?
(a)(61/144) (b) 29 (c) (144/61) (d) none of these

Solution:- (b) 29
We know that,
= (1/2)-2= (2/1)2 … [∵ (a/b)-n = (b/a) n]
= (1/3)-2
= (3/1)2 … [∵ (a/b)-n = (b/a) n]
= (1/4)-2 = (4/1)2 … [∵ (a/b)-n
= (b/a) n] Now add,
= (2)2+ (3)2+ (4)2
= 4 + 9 + 16
= 29


5.{6-1+(3/2)-1}-1
(a)(2/3) (b)(5/6) (c)(6/5) (d) None of these

Solution:- (c)(6/5)
We know that, = (6)-1
= (1/6) … [∵ (a/b)-n
= (b/a) n]
= (3/2)-1
= (2/3) … [∵ (a/b)-n
= (b/a) n] Now add,
= {(1/6) + (2/3)}-1
= {(1+4)/ 6}-1 … [LCM of 6 and 3 is 6]
= {5/6}-1
= {6/5}


6. (-1/2)-6 =?
(a)-64 (b) 64 (c) (1/64) (d) (-1/64)
Solution:- (b) 64
We know that,
= (-1/2)-6
= (-2/1)6 … [∵ (a/b)-n= (b/a) n]
= (-2)6 = 64


7. {(3/4)-1 – (1/4)-1}-1=?
(a)(3/8) (b)(-3/8) (c)(8/3) (d)(-8/3)
Solution:- (b)(-3/8) We know that,
= (3/4)-1
= (4/3)1 … [∵ (a/b)-n = (b/a) n]
= (1/4)-1
= (4/1)1 … [∵ (a/b)-n = (b/a) n]
Now subtract,
= {(4/3) – (4/1)} -1
= {(4-12)/3}-1 … [LCM of 3 and 1 is 3]
= {-8/3}-1 = {-3/8}


8. [{(-1/2)2}-2]-1=?
(a) (1/16) (b)16 (c)(-1/16) d)-16
Solution:- (a) [{(-1/2)2}-2]-1
= [{(-12/22)}-2]-1
= [{1/4}-2]-1
= [{4} 2]-1
= [16]-1
= [1/16]


9. (5/6)0 =?
(a) 5/6 (b) 0 (c)1 (d)none of these
Solution:- (c) (5/6)0
=1 By definition,
we have a0= 1 for every integer.


10. (2/3)-5=?
(a)(32/243) (b)(243/32) (c)(-32/243) (d)(-243/32)
Solution:- (b) (2/3)-5
= (3/2)5
= (35/25)
= (243/32)

 

Please click the below link to access CBSE Class 7 Maths Worksheet - Exponents & Powers (3)

Worksheet for CBSE Mathematics Class 7 Chapter 13 Exponents and Powers

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