Read and download the CBSE Class 8 Mathematics Rational Numbers Worksheet Set B in PDF format. We have provided exhaustive and printable Class 8 Mathematics worksheets for Chapter 1 Rational Numbers, designed by expert teachers. These resources align with the 2025-26 syllabus and examination patterns issued by NCERT, CBSE, and KVS, helping students master all important chapter topics.
Chapter-wise Worksheet for Class 8 Mathematics Chapter 1 Rational Numbers
Students of Class 8 should use this Mathematics practice paper to check their understanding of Chapter 1 Rational Numbers as it includes essential problems and detailed solutions. Regular self-testing with these will help you achieve higher marks in your school tests and final examinations.
Class 8 Mathematics Chapter 1 Rational Numbers Worksheet with Answers
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
(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)
Important Practice Resources for Class 8 Mathematics
CBSE Mathematics Class 8 Chapter 1 Rational Numbers Worksheet
Students can use the practice questions and answers provided above for Chapter 1 Rational Numbers to prepare for their upcoming school tests. This resource is designed by expert teachers as per the latest 2026 syllabus released by CBSE for Class 8. We suggest that Class 8 students solve these questions daily for a strong foundation in Mathematics.
Chapter 1 Rational Numbers Solutions & NCERT Alignment
Our expert teachers have referred to the latest NCERT book for Class 8 Mathematics to create these exercises. After solving the questions you should compare your answers with our detailed solutions as they have been designed by expert teachers. You will understand the correct way to write answers for the CBSE exams. You can also see above MCQ questions for Mathematics to cover every important topic in the chapter.
Class 8 Exam Preparation Strategy
Regular practice of this Class 8 Mathematics study material helps you to be familiar with the most regularly asked exam topics. If you find any topic in Chapter 1 Rational Numbers difficult then you can refer to our NCERT solutions for Class 8 Mathematics. All revision sheets and printable assignments on studiestoday.com are free and updated to help students get better scores in their school examinations.
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