Request a call back

Join NOW to get access to exclusive study material for best results

Rational Numbers Worksheet

Fill in the blanks Type Questions

  1. A swimming pool in a society can accommodate up to 25 children at once. But only 4 children are in the pool in the afternoon due to the bright weather.

    The amount of pool occupied by people can be expressed as a/b. Now, if we multiply this number by its reciprocal and add the additive identity to the result, the number obtained at the end is ____________.

    Multiple Choice Questions

  2. Arya peels off an orange and there are 8 carpels found. 

    She claims that one carpel is equivalent to the number 1/8. Name the type of number used to represent one carpel.
    (a) Integer
    (b) Whole Number
    (c) Natural Number
    (d) Rational Number

  3. Bob was very thin and his mother started with a new diet for him. As a result, he gained begin mathsize 12px style 3 over 4 end style kg in first two months. In the next two months, he again gained begin mathsize 12px style 2 over 3 end stylekg.

    Thus, the total amount of weight acquired throughout the course of a new diet after four months will be a/an
    (a) Integer
    (b) Rational number
    (c) Natural Number
    (d) Cannot be determined

  4. Dheeraj, a friend of Anuj's, came to the Durga Puja that Anuj hosted at his home. Dheeraj brought 1 kg of sweets having 28 pieces in the box. Anuj then distributed 19 pieces and so the amount of sweets distributed can be represented as 19/28. The type of number used for representing the amount of sweets distributed is a/an
    (a) Natural number
    (b) Whole number
    (c) Integer
    (d) Rational number

  5. The Pushkar fair is one of India's largest camel, horse and cattle fairs having various kind of Ferris wheels.

    Each Ferris wheel has 24 passenger-carrying components. The first Ferris wheel is begin mathsize 12px style 19 over 24 end style filled while the second is begin mathsize 12px style 7 over 8 end style filled with passengers. If we look at these Ferris wheels, then which of the following is not true?
    (a) begin mathsize 12px style 19 over 24 plus 7 over 8 equals 21 over 24 plus 19 over 24 end style
    (b) begin mathsize 12px style 19 over 24 cross times 7 over 8 equals 21 over 24 cross times 19 over 24 end style
    (c) begin mathsize 12px style 19 over 24 minus 7 over 8 equals 21 over 24 minus 19 over 24 end style
    (d) begin mathsize 12px style 19 over 24 cross times 1 equals 1 cross times 19 over 24 end style

  6. Keshav is going to her Uncle’s place and so will carry some toys with him. He checked the four drawers for the toys and noted down the number of toys each drawer has. The rational numbers formed by the three numbers are begin mathsize 12px style negative 7 over 9 comma 5 over 4 comma 9 over 5 end style. Which of the following is correct?
    (a) begin mathsize 12px style negative 7 over 9 plus open square brackets 5 over 4 plus 9 over 5 close square brackets equals open square brackets 7 over 9 plus 5 over 4 close square brackets plus 9 over 5 end style
    (b) begin mathsize 12px style negative 7 over 9 minus open square brackets 5 over 4 minus 9 over 5 close square brackets equals open square brackets negative 7 over 9 minus 5 over 4 close square brackets minus 9 over 5 end style
    (c) begin mathsize 12px style negative 7 over 9 cross times open square brackets 5 over 4 cross times 9 over 5 close square brackets equals open square brackets 7 over 9 cross times 5 over 4 close square brackets cross times 9 over 5 end style
    (d) begin mathsize 12px style negative 7 over 9 divided by open square brackets 5 over 4 divided by 9 over 5 close square brackets equals open square brackets negative 7 over 9 divided by 5 over 4 close square brackets divided by 9 over 5 end style

  7. Anurag made the decision to plant 8000 saplings with the aid of his friends in order to participate in the Green India Mission, which was introduced in 2014.


    He has finished planting 6834 young trees. The amount of saplings sown can now be expressed as begin mathsize 12px style 6834 over 8000 end style. Divide this rational number by its multiplicative identity and then add additive identity to the result. What could be the reciprocal of the number obtained at the end?
    (a) 0
    (b) 1
    (c) begin mathsize 12px style 6834 over 8000 end style
    (d) begin mathsize 12px style 8000 over 6834 end style

  8. Farmers are given seeds for their crops by a distributor. There are around 150 seeds in the box of type 1, of which 8 are not suitable for planting. However, the box of type 2 has around 100 seeds of which 6 are not suitable for planting. Add the amount of faulty plants in the two boxes and multiply the result with begin mathsize 12px style 25 over 2 end style. The number obtained is equal to
    (a) 0
    (b) 1
    (c) begin mathsize 12px style 3 over 2 end style
    (d) begin mathsize 12px style 17 over 12 end style 

  9. Take a number say x and take its additive inverse. Add the two numbers and then multiply the result with its additive identity. Now, divide the result by the multiplicative identity and then take twice of the number obtained. What is the final result?
    (a) 0
    (b) 1
    (c) The same number
    (d) Twice the same number

  10. Raghav ordered a wall shelf with 12 sections to display the show plants. Once the wall shelf was delivered, he placed the plants as shown below: 

    What is the amount of empty sections in the wall shelf?
    (a) begin mathsize 12px style 9 over 12 end style
    (b) begin mathsize 12px style 1 fourth end style
    (c) begin mathsize 12px style 4 over 3 end style
    (d) begin mathsize 12px style 21 over 12 end style

    Subjective Questions

  11. A game is played where every child has to identify a type of number out of the given numbers. If the child answers correctly, he/she receives a chocolate. Now, Chintu also participated in the game and he has to pick a number which is not rational out of the numbers given below:

    Chintu pick 4.9 and said this is not a rational number. Will Chintu get a chocolate? Explain your answer.

  12. Som went on a holiday trip to Kedarnath. But when asked by his friend, he did not remember the time taken to reach their from Gholtir Railway Station. Now, as he knew the distance and speed of the car so, he tells that the time taken is begin mathsize 12px style 486 over 10 end style. Which type of number is used to represent the time taken?

  13. The amount of milk present in a cup begin mathsize 12px style 6 over 7 end style of its total capacity. There are two such cups. Now, if you notice, the amount represented is in the form of a rational number. So, when we add the amount of milk in the two cups, will the total amount be in rational number form? 


  14. Daniel and his little brother Sam are going to take a bath. The bathtub is filled with begin mathsize 12px style 21 over 5 end style litres of water. When they come out after taking a bath, the tub is filled with begin mathsize 12px style 13 over 5 end style litres of water. Do the product of these two quantities of water be a rational number? Why or Why not?


  15. A garden near the city has around 380 mango trees in it. The number of mangoes these trees together had is 38000. So, the average number of mangoes each tree had is given by 100. Represent the average number of mangoes each tree had in rational number form with denominator 380 if possible.

  16. There are 7 members in a family. So, Shivi bought fruits for the entire 1 week. She bought 5 kg of grapes for Rs. 228 and 5 kg of apples for Rs. 484. Shivi subtracts price of 1 kg of grapes from the price 1 kg of apple and Ronny subtracts price of 1 kg of apple from the price of 1 kg of grapes. Will both get the same result? Explain your answer using commutative property.

  17. Sandy made a fruit salad which contained begin mathsize 12px style 35 over 24 end style amount of apples, begin mathsize 12px style 15 over 16 end style amount of grapes, begin mathsize 12px style 3 over 7 end style amount of bananas and begin mathsize 12px style 4 over 5 end style amount of kiwi. Using properties of rational numbers, find the product of these numbers.

  18. A house party arranged at Rohini’s house where she invited her friends, classmates, neighbours and sibling. The total number of guests who attended the party is 52 which include 20 friends, 22 classmates, 10 neighbours and no siblings. Using these numbers, form four different rational numbers whose denominator is 52. What is the product of the rational numbers formed?

  19. Amar has got an assignment which he needs to submit the next day and so he takes help of his brother Ramesh. 
    Assignment: Find begin mathsize 12px style 3 over 5 cross times negative 4 over 7 minus 1 over 21 minus 4 over 7 cross times 2 over 5 end style
    Amar got the answer as begin mathsize 12px style fraction numerator negative 1 over denominator 2 end fraction end style with the help of Ramesh. Is Amar correct?

  20. Abhilash runs a cloth shop and maintains a record of various clothes sold every month. The sale made in October month is huge as Diwali is the next festival. The total number clothes sold is given by the expression begin mathsize 12px style open parentheses 22 over 3 cross times 8 over 7 plus 22 over 3 cross times 307 over 7 close parentheses end style. How many clothes were sold in the month of October?

Key Features of Study Materials for CBSE Class 8 Mathematics:

  • Easy and comprehensive set of study materials
  • Created by subject matter experts
  • Amended as per the latest CBSE syllabus
  • Helpful when doing homework
  • Easy to understand
  • Helpful for quick revision
  • Score more marks in the examination
  • Free textbook solutions & doubt-solving sessions
  • Increase paper-solving speed
  • Improvement in marks


Over 2.5 million students trust TopperLearning for study materials. This is because students who have used our study resources have been able to achieve good scores in the examination. Our study materials are also used by premier educational institutes in India. Visit our website regularly to stay updated with important announcements made by CBSE.

Get Latest Study Material for Academic year 24-25 Click here
×