Unitary Method Questions for Class 5
What is Unitary Method?
The unitary method is a simple mathematical method used to find the value of one unit first, and then calculate the value of the required number of units. In Class 5 Maths, this method helps students solve real-life problems related to cost, quantity, distance, and time.
In easy words:
Find the value of 1 unit → Then find the value of many units.
The Unitary Method is an important topic in Class 5 Maths. We learn to:
- find the value of one unit
- find the value of many units
The unitary method mainly uses two basic operations: division (to find the value of one unit) and multiplication (to find the value of the required number of units). Students often use this method in everyday situations such as calculating the cost of fruits, the distance travelled in a certain time, or the quantity of items needed. Practicing more unitary method questions for class 5 helps children to understand this concept clear and easy to apply.
At CBSEClassWorksheets, students can find carefully designed unitary method questions for class 5 with step-by-step solutions and printable worksheets. Regular practice helps learners understand the concept clearly and apply it confidently in exams as well as in daily life.
Understanding Units and Values
- Units are the items being counted (like books, apples, pens, kilometres, hours).
- Value is the cost, distance, time, or quantity related to those units.
Example (Daily Life Situation)
If 8 notebooks cost ₹160:
- Notebooks = Units
- ₹160 = Value
First, we find the cost of 1 notebook, then we can find the cost of any number of notebooks.
This method helps Class 5 students solve word problems easily and logically.
Mathematical Operations Used in Unitary Method
The unitary method mainly uses:
1️⃣ Division
Used to find the value of one unit.
2️⃣ Multiplication
Used to find the value of required number of units.
Applications of Unitary Method
The unitary method is used in many real-life situations:
- Finding Cost of Items
- Cost of 1 pen
- Cost of 10 kg rice
- Cost of 12 books
- Speed, Distance and Time
- Distance travelled in 1 hour
- Time taken to cover 1 km
- Total distance covered in 5 hours
- Business Calculations
- Finding profit
- Finding loss
- Calculating total earnings
- Daily Life Situations
- Calculating wages
- Finding cost of materials
- Determining quantity of items
Unitary Method – Solved Examples
Example 1
If 6 pens cost ₹72, find the cost of 1 pen.
Step 1: Find cost of 1 pen
Cost of 1 pen = 72 ÷ 6 = ₹12
Therefore, the cost of 1 pen is ₹12.
Example 2
If 1 book costs ₹95, find the cost of 8 books.
Step 1: Cost of 1 book = ₹95
Step 2: Find cost of 8 books
Cost of 8 books = 95 × 8 = ₹760
Therefore, the cost of 8 books is ₹760.
Example 3
A car travels 120 km in 3 hours. How much distance does it travel in 1 hour?
Step 1: Distance travelled in 1 hour
120 ÷ 3 = 40 km
The car travels 40 km in 1 hour.
Example 4
If 15 mangoes cost ₹300, how much will 9 mangoes cost?
Step 1: Cost of 1 mango
300 ÷ 15 = ₹20
Step 2: Cost of 9 mangoes
20 × 9 = ₹180
Therefore, 9 mangoes cost ₹180.
Unitary Method Questions for Class 5 with Answers PDF
Example 1
If 6 pens cost ₹72, find the cost of 1 pen.
Step 1: Find cost of 1 pen
Cost of 1 pen = 72 ÷ 6 = ₹12
Therefore, the cost of 1 pen is ₹12.
Example 2
If 1 book costs ₹95, find the cost of 8 books.
Step 1: Cost of 1 book = ₹95
Step 2: Find cost of 8 books
Cost of 8 books = 95 × 8 = ₹760
Therefore, the cost of 8 books is ₹760.
Example 3
A car travels 120 km in 3 hours. How much distance does it travel in 1 hour?
Step 1: Distance travelled in 1 hour
120 ÷ 3 = 40 km
The car travels 40 km in 1 hour.
Example 4
If 15 mangoes cost ₹300, how much will 9 mangoes cost?
Step 1: Cost of 1 mango
300 ÷ 15 = ₹20
Step 2: Cost of 9 mangoes
20 × 9 = ₹180
Therefore, 9 mangoes cost ₹180.