CBSE Class 8 Mathematics Rational Numbers Worksheet Set 02

Here is the CBSE Class 8 Mathematics Rational Numbers Worksheet Set 02 for your practice. Download printable Class 8 Mathematics worksheets covering Chapter 1 Rational Numbers for the 2026-27 academic session. Created by experienced educators, these sheets follow official testing patterns from NCERT, CBSE, and KVS to help students succeed.

Chapter 1 Rational Numbers Worksheet Solutions for Class 8 Mathematics

Want to test your knowledge? Class 8 students should try this Mathematics practice paper for Chapter 1 Rational Numbers. It features key problems along with step-by-step solutions to help you check your progress and score higher in school tests and final exams.

Get Chapter 1 Rational Numbers Worksheet PDF for Class 8 Mathematics

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)

Free study material for Mathematics

CBSE Class 8 Mathematics Worksheet: Chapter 1 Rational Numbers

CBSE Mathematics Class 8 Chapter 1 Rational Numbers Worksheet

Prepare effectively for your upcoming evaluations by utilizing the curated practice tasks for Chapter 1 Rational Numbers featured above. Built by expert educators to reflect the current 2026 CBSE guidelines for Class 8, these tools support steady academic growth. Regular practice is strongly recommended for Class 8 students seeking lasting proficiency in Mathematics.

Chapter 1 Rational Numbers Solutions & NCERT Alignment

Built using specifications from the active NCERT book for Class 8 Mathematics, these worksheets mirror authentic academic structures. Comparing your completed work with our expert-verified solutions ensures you learn standard formatting for CBSE exams. Supplement your study routine with the provided MCQ questions for Mathematics to touch upon every essential learning objective.

Maximizing Academic Performance in Class 8

Consistent engagement with this Class 8 Mathematics material builds familiarity with recurring exam themes and high-yield questions. Whenever you encounter challenging concepts in Chapter 1 Rational Numbers, turn to our comprehensive NCERT solutions for Class 8 Mathematics for immediate clarity. All printable assignments and revision sheets hosted on our platform remain completely free to support Class 8 students in raising their examination scores.

FAQs

Where can I download the 2026-27 CBSE printable worksheets for Class 8 Mathematics Chapter 1 Rational Numbers?

You can download the latest chapter-wise printable worksheets for Class 8 Mathematics Chapter 1 Rational Numbers for free from StudiesToday.com. These have been made as per the latest CBSE curriculum for this academic year.

Are these Chapter 1 Rational Numbers Mathematics worksheets based on the new competency-based education (CBE) model?

Yes, Class 8 Mathematics worksheets for Chapter 1 Rational Numbers focus on activity-based learning and also competency-style questions. This helps students to apply theoretical knowledge to practical scenarios.

Do the Class 8 Mathematics Chapter 1 Rational Numbers worksheets have answers?

Yes, we have provided solved worksheets for Class 8 Mathematics Chapter 1 Rational Numbers to help students verify their answers instantly.

Can I print these Chapter 1 Rational Numbers Mathematics test sheets?

Yes, our Class 8 Mathematics test sheets are mobile-friendly PDFs and can be printed by teachers for classroom.

What is the benefit of solving chapter-wise worksheets for Mathematics Class 8 Chapter 1 Rational Numbers?

For Chapter 1 Rational Numbers, regular practice with our worksheets will improve question-handling speed and help students understand all technical terms and diagrams.