CBSE Class 8 Mathematics Rational Numbers Worksheet Set 02

Official Class 8 Mathematics Worksheets: Chapter 01 Rational Numbers

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Question. Which of the following statements is true?
(A) Every fraction is a rational number.
(B) Every rational number is a fraction.
(C) Every integer is a rational number.
(D) Both (A) and (C).
Answer : D

 

Question. If (-3)/x = x/(-27), what is the positive value of 'x'?
(A) - 9
(B) 9
(C) - 81
(D) 81
Answer : B

Question. Which number is in the middle if -1/6. 4/9, 6/-7, 2/5 and -3/4 are arranged in descending order ?
(A) 2/5
(B) 4/9
(C) -1/6
(D) -6/7
Answer : C

Question. Which of the following numbers must be subtracted from 7/-8 to get -13/12 ?
(A) 5/24
(B) 9/24
(C) -7/24
(D) -5/24
Answer : A

 

Question.  Simpli5f 2/5 + 8/3 + -11/15 + 4/5 + -2/3 .
(A) 37/15
(B) -37/15
(C) -35/5
(D) -38/9
Answer : A

Question.  Compare -8/9 and 4/-5.
(A) -8/9 > - 4/5
(B) -4/5 < -5/9
(C) -8/9 = - (-4/5) 
(D) -8/9 < -4/5
Answer : D

Question.  What is the resultant obtained when the additive inverse of 5/6 is subtracted from the multiplicative inverse of -5/7 x 15?
(A) 3/2
(B) -2/3
(C) -3/2
(D) 2/3
Answer : B

Question. What number should be added to -4/7 to get 5/9?
(A) -71/63
(B) 71/63
(C) 1/63
(D) -1/63
Answer : B

 

Question. Evaluat

""CBSE-Class-8-Mathematics-Rational-Numbers-Worksheet-Set-B

(A) 49/45
(B) -1(4/45)
(C) 45/49
(D) 1(4/45)
Answer : B

Question. What is the multiplicative inverse of 0 ?
(A) 1/0
(B) 0
(C) Does not exist
(D) 0/0
Answer : C

Question. The sum of two rational numbers is - 3. If one of them is -11/5, find the other.
(A) -4/5
(B) -8/5
(C) 4/5
(D) 8/5
Answer : A

Question. Which of the following is the resultant of 1/12 + -1/3 + -1/6 + -5/7 + 3/4 + 10/7 ?
(A) 1(1/21)
(B) -1
(C) 0
(D) 1
Answer : A

Question. Find four rational numbers between 1/6 and 1/3
(A) -1/4, 7/24, 13/48, -27/96
(B) 1/4. -7/24, 13/48, 27/96
(C) 1/4, 7/24, -13/48, 27/96
(D) 1/4, 7/24, 13/48, 27/96
Answer : D

Question. Which of the following are three rational numbers between - 2 and - 1?
(A) -1/2, -1/3, -1/5
(B) -3/2, -7/4, -5/4
(C) -12/5, - 22/5, 12/5
(D) 3/2, 7/4, 5/4
Answer : B

 

Question. Find the value of (5/9 ÷ 15/36) ÷ (-5/6)
(A) -4/3
(B) 3/5
(C) -8/3
(D) -3/8
Answer : C

Question. State which of the numbers given in the box are rational.
(i) √2 x √8 (ii) 22/7 (iii) 2√3 (iv) π
(A) (i) and (ii) only
(B) (i) and (iii) only
(C) (ii) and (iv) only
(D) (iii) and (iv) only
Answer : A

Question. What is the simplified form of (-9/7 x -1/3) + (15/8 x -4/5) - (27/14 x 2/9) ?
(A) 3/2
(B) -3/7
(C) -3/2
(D) 3/7
Answer : C

 

Question. What should be subtracted from -7/11 to get -2?
(A) 15/11
(B) -15/11
(C) 29/11
(D) -29/11
Answer : A

Question. By what rational number should -3/5 be multiplied to obtain 21?
(A) 507/4
(B) 35
(C) - 35
(D) 507
Answer : C

 

Question. Which of the following is a rational number between 4 and 3?
(A) 7/24
(B) /815
(C) 48
(D) Both (A) & (C)
Answer : D

Question. Which of the following is the correct arrangement of -11/15, -3/10, -1/5 and 13/20 in descending order?
(A) 13/20, -1/5, -11/15, -3/10
(B) 13/20, -1/5, -3/10, -11/15
(C) 13/20, -11/15, -3/10, 1/5
(D) 13/20, -3/10, -11/15, 1/5
Answer : B

Question. How is -28/84 expressed as a rational number with numerator 4?
(A) 4/7
(B) 4/12
(C) 4/12
(D) 4/-7
Answer : B

Question. Which of the following sets of rational numbers is arranged in ascending order?
(A) - 5/14, - 25/28, - 4/7, - 1/2
(B) - 25/28, -15/14, -3/7,  - 1/2
(C) - 25/28, - 1/2, - 3/7, - 5/14
(D) - 1/2, -3/7, -5/14, -25/28
Answer : C

Question. Which of the following statements is false ?
(A) 5/7 < 7/9 < 9/13 < 11/13
(B) 11/13 < 9/11 < 7/9 < 5/7
(C) 5/7 < 11/13 < 7/9 < 9/11
(D) Both (B) & (C)
Answer : D

 

Question. What is the average of the two middle rational numbers when 4/-9, -6/9, 5/9, -7/9. 8/9. 1/9 and 9 are arranged in ascending order?
(A) 1/8
(B) 2/7
(C) -3/7
(D) -1/6
Answer : D

Question. Subtract -5/9 from -3/7.
(A) 62/63
(B) 8/63
(C) -8/63
(D) -62/63
Answer : D

Question. Which of the following numbers must be added to -5/16 to get 7/24 ?
(A) 21/28
(B) -29/48
(C) 15/48
(D) 29/48
Answer : D

Question. What is the sum of the additive inverse and multiplicative inverse of 2?
(A) 3/2
(B) - 3/2
(C) 1/2
(D) -1/2
Answer : B

Question. Subtract 2/3 from 7/8
(A) -5/24
(B) 5/24
(C) 7/16
(D) 5/16
Answer : B

Question. Which among the following is a rational number equivalent to -5/-3 ?
(A) -25/15
(B) 25/-15
(C) 25/15
(D) -25/30
Answer : C

Question. The product of two numbers is 9. If one -35/24 of the numbers is "24. find the other.
(A) 8/7
(B) -8/21
(C) -3/7
(D) 8/21
Answer : B

Question. The area of a rectangle is 45(5/16) cm2. If one edge is 6(1/4)cm. find the other in cm.
(A) 7(1/8)
(B) 7/4
(C) 7(1/4)
(D) 4(1/7)
Answer : C

Question. Arrange -4/5, 9/-15 and -2/3 in descending order.
(A) 9/-15, -2/3, -4/5
(B) -2/3, -4/5 -9/15
(C) 9/-15, -4/5, -2/3
(D) -2/3, -9/15, -4/5
Answer : A

Question. Simplify 4/7 + 0 + -8/9 + -13/7 + 17/21.
(A) -56/63
(B) -86/63
(C) 86/63
(D) 56/63
Answer : B

Question. What is the sum of the greatest and the least numbers of 5/9, 1/9 and 11/9 ?
(A)2/9
(B) 4/9
(C) 4/3
(D) 2/3
Answer : C

 

Question. Find two rational numbersb etween -3 and -2.
Answer : Number between -3 and -2 = 1/2 × (-3-2) = -5/2
              Number between -3 and -5/2 = 1/2 × (-3 + -5/2)
                                                       = 1/2 × [(-6-5)/2]
                                                       = (1/2) x (-11/2) = -11/4 ans

Question. Find a rational number between1/4and1/3.
Answer : requiredno :- (1/4 + 1/3)/2
               (3+4/12)/2
               (1/2) x (7/12) = 7/24 ans

Question. Find 10 rational numbers between -3/4 and 5/6.
Answer : Given numbers are - 3/4 and 5/6
       Making denominator same-                               (LCM of 4 and 6 are 12)
                                      -3x3/4x3, 5x2/6x2 = -9/12 and 10/12
Thus ten rationaln umbers be -8/12, -7/12, -5/12, -4/12, -3/12, -1/12, 0, 1/12, 2/12, 4/12.
i.e       -2/3, -7/12, -5/12, -1/3.-1/4, -1/12, 0, 1/12, 1/6, 1/3.

Question. Find three rational numbers between 4 and 5.
Answer : Given no. can be written as - 4/1 and 5/1
                                            = 4x5/1x5, 5x5/1x5
                                            = 20/5, 25/5
Thus three rational numbers be 21/5, 22/5, 23/5 ans

Question. Find ten rational numbers between −2/5 and 1/2
Answer : Given numbers can be written as :-
(by same denominator method)
                        = − 2×2 / 5×2 and 1×5 / 2×5          (LCM of 5 and 2 is 10)
                        = − 4/10 and 5/10
Thus, some five rational numbers between given rational numbers may
be −3/10, −2/10, −1/10, 0 and 1/10 ans

Question. Find 12 rational numbers between -1 and 2.
Answer : Given no. can be written as -1/1 and 2/1
                                              = -1x10/1x10, 2x10/1x10
                                              = -10/10, 20/10
Thus 12 rational numbers between- 9/10,-7/10, -3/10, -1/10, 0, 1/10, 3/10, 7/10, 1, 11/12, 13/12, 17/12. ans

 

Please refer to the link below for CBSE Class 8 Mathematics Worksheet - Rational Numbers (1)

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CBSE Class 8 Mathematics Worksheets for Chapter 01 Rational Numbers

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