CSAT: Comprehension, Reasoning and Numeracy

Ratios, proportions and mixtures

School arithmetic and working reading fluency, with rusty Class X mathematics; first focused CSAT preparation. Learners needing basic literacy or foundational numeracy remediation need a separate diagnostic budget.

Includes

• Assigned explanatory sections and selected worked examples
• Available mapped CSAT questions with untimed then timed attempts
• Mistake analysis and one initial recall review

Separate time needed

• Full-length timed papers
• Later spaced revision
• All optional textbook exercises
• Advanced mathematics beyond Class X or competition-specific high-difficulty extensions
• Optional supplementary exam-book exercises beyond available mapped practice

Editorial planning estimate; not learner timing data

• Combining ratios ↗

  What is a Combining Ratio question: explanation and first worked image, matching the shared variable in a:b and a:c; later linked resources optional

• Direct and Inverse Proportion ↗

  Constant of Proportionality: y = kx and worked hourly-pay/value examples

• Direct and Inverse Proportion ↗

  Inversely Proportional: y = k/x and fence-work example with equal independent work rates; omit vague same-rate definition

• Ratio Sharing ↗

  The 3-Step Method and sharing 400 in a 3:2 ratio; other examples optional and not claims about fair contracts or material mixing

• Prealgebra: Ratios and Rate ↗

  Section 5.6: ratios, rates and unit rates

• Concise CSAT—General Studies Paper II, seventh edition, ISBN 9789355327161 ↗

  Chapter 6: Basic Numeracy and Data Interpretation; ratio and proportion practice

  Book required · Supplementary
• Intermediate Algebra: Solve Mixture and Uniform Motion Applications ↗

  Section 2.4: Solve Mixture Applications; omit uniform motion assigned elsewhere