Worksheet on Word Problems on Rational Numbers

Practice the questions given in the worksheet on word problems on rational numbers. The questions are related to various types of word problems on four fundamental operations on rational numbers.

1. From a rope 11 m long, two pieces of lengths 13/5 m and 33/10 m are cut off. What is the length of the remaining rope?

2. A drum full of rice weighs 241/6 kg. If the empty drum weighs 55/4 kg, find the weight of rice in the drum.

3. A basket contains three types of fruits weighing 58/3 kg in all. If 73/9 kg of these be apples, 19/6 kg be oranges and the rest pears. What is the weight of the pears in the basket?

4. On one day a rickshaw puller earned $80. Out of his earnings he spent $68/5 on tea and snacks, $51/2 on food and $22/5 on repairs of the rickshaw. How much did he save on that day?

5. Find the cost of 17/5 meters of cloth at $147/4 per meter.

6. A car is moving at an average speed of 202/5 km/hr. How much distance will it cover in 15/2 hours?

7. Find the area of a rectangular park which is 183/5 m long and 50/3 m broad.

8. Find the area of a square plot of land whose each side measures 17/2 meters.

9. One liter of petrol costs $187/4. What is the cost of 35 liters of petrol?

10. An airplane covers 1020 km in an hour. How much distance will it cover in 25/6 hours?

11. The cost of 7/2 meters of cloth is $231/4. What is the cost of one meter of cloth?

12. A cord of length 143/2 m has been cut into 26 pieces of equal length. What is the length of each piece?

13. The area of a room is 261/4 m\(^{2}\). If its breadth is 87/16 meters, what is its length?

14. The product of two rational numbers is 48/5. If one of the rational number is 66/7, find the other rational number.

15. Rita had $300. She spent 1/3 of her money on notebooks and 1/4 of the remainder on stationery items. How much money is left with her?

16. Adrian earns $16000 per month. He spends 1/4 of his income on food; 3/10 of the remainder on house rent and 5/21 of the remainder on the education of children. How much money is still left with him?


Answers for the worksheet on word problems on rational numbers are given below to check the exact answers of the above rational problems.


Answers:


1. 51/10 m

2. 317/12 kg

3. 145/18 kg

4. $73/2

5. $2499/20

6. 303 km

7. 610 m\(^{2}\)

8. 289/4 m\(^{2}\)

9. $6545/4

10. 4250 km

11. $33/2

12. 11/4 m

13. 12 m

14. 56/55

15. $150

16. $6400

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Rational Numbers

Introduction of Rational Numbers

What is Rational Numbers?

Is Every Rational Number a Natural Number?

Is Zero a Rational Number?

Is Every Rational Number an Integer?

Is Every Rational Number a Fraction?

Positive Rational Number

Negative Rational Number

Equivalent Rational Numbers

Equivalent form of Rational Numbers

Rational Number in Different Forms

Properties of Rational Numbers

Lowest form of a Rational Number

Standard form of a Rational Number

Equality of Rational Numbers using Standard Form

Equality of Rational Numbers with Common Denominator

Equality of Rational Numbers using Cross Multiplication

Comparison of Rational Numbers

Rational Numbers in Ascending Order

Rational Numbers in Descending Order

Representation of Rational Numbers on the Number Line

Rational Numbers on the Number Line

Addition of Rational Number with Same Denominator

Addition of Rational Number with Different Denominator

Addition of Rational Numbers

Properties of Addition of Rational Numbers

Subtraction of Rational Number with Same Denominator

Subtraction of Rational Number with Different Denominator

Subtraction of Rational Numbers

Properties of Subtraction of Rational Numbers

Rational Expressions Involving Addition and Subtraction

Simplify Rational Expressions Involving the Sum or Difference

Multiplication of Rational Numbers

Product of Rational Numbers

Properties of Multiplication of Rational Numbers

Rational Expressions Involving Addition, Subtraction and Multiplication

Reciprocal of a Rational  Number

Division of Rational Numbers

Rational Expressions Involving Division

Properties of Division of Rational Numbers

Rational Numbers between Two Rational Numbers

To Find Rational Numbers