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Ratio and Proportion — Revision Notes

ICSE · Class 7 · Mathematics

Ratio and Proportion revision notes for ICSE Class 7 Mathematics: 4 topics in quick points. Part of the ICSE Class 7 Mathematics syllabus.

52 questions24 flashcards14 formulas & key relations5 concepts

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Key Topics to Revise

1

1. Ratio: Meaning, Terms, and Simplest Form

  • A ratio is a relationship between two quantities of the same kind with the same unit.
  • The symbol of ratio is : .
  • The ratio 3:4 can also be written as the fraction 3/4.
2

2. Converting Fractional Ratios and Sharing in a Ratio

  • A fractional ratio can be converted into whole numbers by multiplying each term by the L.C.M. of the denominators.
  • If each term of a ratio is multiplied or divided by the same non-zero number, the ratio remains the same.
  • For example, (1/3):(1/4) becomes 4:3 after multiplying both terms by 12.
3

3. Ratio Problems Using L.C.M., H.C.F., and Unitary Method

  • If two numbers are in the ratio 4:5, they can be written as 4x and 5x.
  • The L.C.M. of 4x and 5x is 20x.
  • If two numbers are in the ratio 3:4, their H.C.F. is x when the numbers are 3x and 4x.
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4. Proportion, Extremes, Means, and Fourth Proportional

  • When four quantities are so related that the ratio between the first and the second quantities is equal to the ratio between the third and the fourth quantities, they are said to be in proportion.
  • Proportion is equality of two ratios.
  • A proportion can be written with = or with :: .

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Full Notes

Key Concepts

A ratio is a relationship betweenIn the ratio 3A ratio is in simplest formA ratio with fractions can beIf a quantity is divided

Frequently Asked Questions

What are the important topics in Ratio and Proportion for ICSE Class 7 Mathematics?
Key topics in Ratio and Proportion include Ratio: Meaning, Terms, and Simplest Form, Converting Fractional Ratios and Sharing in a Ratio, Ratio Problems Using L.C.M., H.C.F., and Unitary Method, Proportion, Extremes, Means, and Fourth Proportional. Study these first, then practise questions on each for Class 7 exams.
How should I revise Ratio and Proportion for Class 7 exams?
Learn the core ideas first, then work through the 52 practice questions on Ratio and Proportion. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All ICSE Class 7 Mathematics Revision Notes

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