Grade 10-11 · Numbers · 107 pages · PDF

Ratio, Rate and Proportion

Clear, exam-focused notes on ratio, rates, kinematic graphs, direct and inverse proportion, and map scales, with fully worked examples.

A complete 24-page IGCSE guide to ratio, rate and proportion. It covers simplifying ratios, sharing in a ratio (with the bar model), unit rates, best-value comparisons, and speed, distance and time. A full section on kinematic graphs teaches how to read distance–time and velocity–time graphs, including gradient, acceleration and area under the graph. It then covers direct and inverse proportion, including y ∝ x², y ∝ √x and y ∝ 1/x². The guide finishes with percentages as proportion, and map scales with area and volume scale factors. Every method comes with step-by-step worked examples and clear diagrams. It ends with a summary, a keyword guide and exam tips.

What's in the pack

Every item can be bought on its own. Buy several together and the price drops.

• Main Notes · 25 pages

  Main Notes

  The full notes: one idea per page, a worked example beside every rule.

  Read the first 4 pages
  €9.99Add

• Cheatsheet · 2 pages

  Cheatsheet

  The whole topic on a page or two, for the night before.

  Read the first 2 pages
  FreeAdd for free

• Worksheet · 48 pages

  Worksheet

  Practice questions in the order the notes teach them.

  Read the first 8 pages
  €11.99Add

• Solutions · 32 pages

  Solutions

  Every worksheet question worked in full.

  Read the first 6 pages
  €9.99Add

Topics covered

• Simplifying ratios
• Dividing a quantity in a ratio
• The ratio bar model
• Rates, unit rates and best value
• Speed, distance and time
• Distance–time graphs
• Velocity–time graphs, acceleration and area
• Direct proportion
• Proportion with powers and roots
• Inverse proportion
• Percentages as proportion
• Map scales and scale drawings

Format

Print-ready PDF

Items

4

Delivery

By email