Unitary Method
ICSE · Class 7 · Mathematics
Complete topic list for Unitary Method in ICSE Class 7 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
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Topics in Unitary Method
1. Core Idea of the Unitary Method
- The unitary method first finds the value of a unit quantity.
- After finding the value of 1 unit, the required value is calculated from it.
- This method is helpful when the given quantity and the required quantity are connected by a fixed relationship.
2. Direct Variation
- In direct variation, both quantities increase together or decrease together.
- Examples include money and articles, cloth and cost, and earnings and days.
- For direct variation, when one quantity becomes more, the other also becomes more.
3. Inverse Variation
- In inverse variation, one quantity increases when the other decreases.
- Examples include speed and time, men and days for a fixed work, and horses and days for fixed food.
- For inverse variation, more of one quantity gives less of the other.
4. Worked Examples from Direct Variation
- A man earning ₹400 in 10 days earns ₹40 per day.
- The man will earn ₹1,120 in 28 days.
- 0.75 m cloth costing ₹45 means 1 m costs ₹60.
Key Concepts
Central concept: The unitary method is a way to find the value of one unit first and then use it to find the required value.
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