Class 6 Maths - ICSE
Ratio
The chapter 'Ratio' in Class 6 ICSE Mathematics introduces students to the method of comparing two quantities of the same kind by division. It covers the concept of antecedent, consequent, simplifying ratios to their lowest terms, and expressing quantities in the same units before comparison. This chapter forms the foundation for advanced commercial mathematics topics like proportions, unitary method, percentage, and speed-distance-time problems in higher classes. In ICSE board examinations, questions from this chapter consistently appear as direct simplification sums and word problems carrying about 3 to 5 marks, making it a high-scoring and essential topic.
Start Learning FreeKey Concepts
Definition of Ratio
A ratio is a comparison of two quantities of the same kind by division, represented by a colon symbol (:).
Terms of a Ratio
The first quantity in a ratio is called the antecedent and the second quantity is called the consequent.
Same Units Requirement
Both quantities being compared in a ratio must always be expressed in the same units, such as centimeters to centimeters or grams to grams.
Simplest Form
A ratio is in its simplest or lowest form when its antecedent and consequent have no common factor other than 1, just like a fraction.
Order Matters
The order of terms in a ratio is very important; the ratio of a to b (a:b) is not the same as the ratio of b to a (b:a).
Important Formulas
Board Exam Info
In ICSE Class 6 Mathematics exams, the chapter on Ratio typically carries around 4 to 6 marks. Common question types include finding the ratio of two given quantities, reducing ratios to their simplest form, finding missing terms, and solving word problems involving the division of a quantity in a given ratio.
Frequently Asked Questions
Does a ratio have any units?
No, a ratio is a dimensionless number because the units of both quantities cancel each other out during comparison.
Can we find the ratio of 5 kilograms to 3 meters?
No, ratios can only be found between quantities of the same kind. You cannot compare weight directly with length.
Is the ratio 2:3 the same as 3:2?
No, order matters in ratios. 2:3 means 2/3, whereas 3:2 means 3/2, which are two different values.
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