Proportional Reasoning-2 — Study Plan
CBSE · Class 8 · Mathematics
A step-by-step study plan for Proportional Reasoning-2, CBSE Class 8 Mathematics: what to learn first, what to practise and when to revise.
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Study Plan
Learn the Theory
Read the textbook chapter carefully. Note down definitions, formulas and key ideas. Focus on: 1. Proportionality and Cross-Multiplication, 2. Ratios with More than Two Terms, 3. Dividing a Whole in a Ratio.
Practise
Solve the textbook exercises and extra practice questions. There are 55 questions available for this chapter.
Revise & Test
Revise key points without looking at your notes. Take a practice quiz and mark weak areas for another pass.
Spaced Revision
Come back to Proportional Reasoning-2 after a week. Use flashcards for quick recall and try past exam questions on this chapter.
What to Focus On
- Proportional ratios have the same value.
- Use a × d = b × c to test two ratios.
- Idli batter ratios 6 : 3 and 4 : 2 are proportional.
- Ratios can have more than two terms.
- If one term is scaled, all terms must be scaled by the same factor.
- Puneet’s spice mix ratio is 4 : 2 : 1 : 0.5.
- Add all parts before dividing a whole.
- 12 divided in the ratio 2 : 1 gives 8 and 4.
- Triangle angles always sum to 180°.
Common Mistakes to Avoid
Any pair of ratios with the same numbers in different order is proportional.
A Representative Fraction gives road distance on a map.
In a multi-term ratio, only the first two terms need to be scaled.
Memory Tips
Cross-multiplication test for proportional ratios
Representative Fraction on maps
More than two terms in a ratio
Multi-term proportional equality
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Proportional Reasoning-2
Practice Quiz
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Important Questions
Exam-style questions with answers
Revision Notes
Key points for last-minute revision
Formula Sheet
The chapter's formulas in one place
Chapter Summary
Understand the chapter at a glance
Concept Maps
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Flashcards
Quick-fire cards for active recall
Syllabus
What topics to cover
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