Class 6 Maths - ICSE

Unitary Method

The Unitary Method chapter in Class 6 ICSE Mathematics teaches students a powerful problem-solving technique used to find the value of a single unit from the value of multiple units, and then find the value of any required number of units. This chapter builds a strong foundation for advanced arithmetic topics like ratios, proportions, percentage, time and work, and speed-distance-time in later classes. For ICSE board exams, students frequently encounter word problems based on direct variation, such as calculating the cost of multiple items or the time taken to complete a task. Mastering this chapter ensures accuracy and speed in competitive and school exams.

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Key Concepts

Unitary Method

A method in which we first find the value of one unit by dividing, and then find the value of the required number of units by multiplying.

Finding Value of Many from One (Multiplication)

If the value of one article is given, we multiply it by the total number of articles to find their total cost or quantity.

Finding Value of One from Many (Division)

If the total value of multiple articles is given, we divide it by the number of articles to find the cost or value of a single unit.

Direct Proportion Logic

The core principle where more quantity means more cost, and less quantity means less cost, keeping the rate constant.

Important Formulas

Value of 1 item = Total Value ÷ Total Number of Items
Value of multiple items = Value of 1 item × Number of Required Items

Board Exam Info

In ICSE Class 6 Mathematics, this chapter typically carries around 5 to 8 marks. Questions usually appear as 2-mark short answer questions or 3 to 4-mark word problems requiring step-by-step statements.

Frequently Asked Questions

When should I multiply and when should I divide in the unitary method?

You divide when moving from many items to one item. You multiply when moving from one item to many items.

Are writing statements compulsory for unitary method sums in ICSE exams?

Yes, ICSE examiners award marks for proper explanatory statements like 'Cost of 5 pens = ₹50', so never write only numerical calculations.

Can the unitary method be used for inverse variation in Class 6?

No, Class 6 ICSE focuses strictly on direct variation where more leads to more, leaving inverse problems for higher classes.

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