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
Is Every Rational Number a Natural Number?
Is Every Rational Number an Integer?
Is Every Rational Number a Fraction?
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
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
Properties of Multiplication of Rational Numbers
Rational Expressions Involving Addition, Subtraction and Multiplication
Reciprocal of a Rational Number
Rational Expressions Involving Division
Properties of Division of Rational Numbers
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