ARITHMETIC - Ratio & Proportion Level 2

While Level 1 focuses on basic scaling, Level 2 requires the ability to manipulate ratios as parts of a dynamic system. It emphasizes the "Constant Value" method and the use of proportionality constants to solve intricate word problems.

• Syllabus & Core Question Types:

  • Income, Expenditure & Savings: Complex problems where ratios of income and expenditure are given for multiple individuals, requiring the calculation of individual savings (e.g., Income - Expenditure = Savings).

  • Coins and Currency: Problems involving the ratio of the number of coins and their total value (e.g., a bag containing 50p, 25p, and 10p coins in a specific ratio with a fixed total value).

  • Partnership & Profit Sharing: Calculating the division of profits based on the ratio of (Investment * Time).

  • Mixture and Alligation: Advanced problems where two mixtures with different ratios are blended to form a third, or where a portion of a mixture is replaced by a pure component.

  • Direct and Inverse Variation: Problems involving the square or square root of variables (e.g., "The price of a diamond varies as the square of its weight").

• Exam Pattern & Marking:

  • Total Questions: 50.

  • Ideal Duration: 60 Minutes.

  • Scoring: +1 for correct, -0.25 for incorrect.

  • Mathematical Tooling: Success in this module depends on the mastery of the formula: If a:b = c:d, then ad = bc (Product of Extremes = Product of Means).