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Unitary Method Questions with Solutions for Class 6
Unitary method is a fundamental concept in mathematics that involves finding the value of a single unit based on the value of another unit. It is commonly used in solving problems related to proportionality and direct variation. In this article, we will explore some unitary method questions with solutions specifically designed for Class 6 students.
Understanding the Unitary Method
Before we delve into the questions, let’s first understand the basic concept of the unitary method. The unitary method is based on the idea that if one unit of a quantity corresponds to another unit of a different quantity, then the value of one unit can be determined based on the value of the other unit.
Unitary Method Questions
Here are some sample unitary method questions that Class 6 students may encounter:
- If 5 pens cost $25, how much will 8 pens cost?
- If 3 books weigh 1.2 kg, what is the weight of 5 books?
- If a car travels 240 km in 6 hours, how far will it travel in 10 hours?
Solutions to Unitary Method Questions
Let’s solve the above questions one by one:
Question 1:
If 5 pens cost $25, then the cost of 1 pen is $25/5 = $5. Therefore, the cost of 8 pens will be 8 x $5 = $40.
Question 2:
If 3 books weigh 1.2 kg, then the weight of 1 book is 1.2 kg/3 = 0.4 kg.
. Therefore, the weight of 5 books will be 5 x 0.4 kg = 2 kg.
Question 3:
If a car travels 240 km in 6 hours, then it travels 240 km/6 hours = 40 km per hour. Therefore, in 10 hours, the car will travel 40 km/h x 10 hours = 400 km.
Practice Makes Perfect
It is essential for Class 6 students to practice unitary method questions regularly to strengthen their understanding of the concept. By solving various problems, students can improve their mathematical skills and problem-solving abilities.
Conclusion
In conclusion, the unitary method is a valuable tool in mathematics that helps students solve problems related to proportionality and direct variation. By practicing unitary method questions with solutions, Class 6 students can enhance their mathematical proficiency and excel in their studies.
For more practice questions and resources on the unitary method, you can visit Math is Fun.
