Ratios, Proportions & Dilutions (Applied Math)
Master ratios, proportions, and dilutions with this applied math course. Gain practical skills and confidence for academic or professional success.
Overview
Course Overview
The Ratios, Proportions & Dilutions (Applied Math) course gives learners a clear, exam-focused mastery of how to handle ratios, direct and inverse proportion, dilution, concentration, mixtures, and word problems with speed and confidence. This course is designed for IGCSE and O Level Mathematics learners who want strong concept clarity, accurate mathematical language, and the ability to solve both structured and real-life scenario questions using mark-scheme-ready methods.
Using structured explanations, several worked examples, exam tips, interactive quizzes, and high-quality LearnStalk explainer videos, learners will build fast recall, strong application skills, and reliable exam technique. Whether you are revising for finals, preparing for mock exams, or strengthening your foundation for advanced topics like rates and algebra, this course guides you step by step from basics to exam mastery.
What You Will Learn
- Understand ratio language and notation, simplify ratios correctly, and apply part-to-part and part-to-whole reasoning in exam questions.
- Solve sharing problems using the parts method (total parts → 1 part → required shares) and avoid common ratio-order mistakes.
- Master proportions using equivalent ratios, cross-multiplication, and unit methods, including common IGCSE/O Level question styles.
- Distinguish direct vs inverse proportion, use the correct forms (y = kx and xy = k), and interpret “increase/decrease” wordings accurately.
- Solve dilution and concentration problems using the exam-standard logic that the amount of solute stays constant, including C1V1 = C2V2 setups (where applicable).
- Handle concentration calculations confidently (including careful unit conversions) and present answers clearly with correct units.
- Solve real-life ratio problems (recipes, money, maps, speeds, production, scaling) using clean tables and method marks strategies.
- Master mixture problems (combining quantities/strengths) and avoid common traps using structured setup methods.
- Develop exam-winning word-problem skills: translate text into equations using a step system, show logical working, and perform quick reasonableness checks.
Why This Course Matters
Many learners lose marks in ratios, proportions, and dilutions because they memorize rules without understanding the setup. In IGCSE/O Level exams, questions often test whether you can interpret context, choose the correct relationship, and show method—especially in word problems. This course solves that by training you to recognize patterns, set up solutions cleanly, and apply repeatable steps so your answers become fast, accurate, and mark-scheme-ready.
Course Features
- High-quality LearnStalk explainer videos aligned to IGCSE/O Level outcomes
- Interactive quizzes and exam-style MCQs to strengthen accuracy and application
- Rich worked examples with clean steps and exam-appropriate presentation
- Word-problem practice to improve translation skill and method marks
- Audio recaps for fast revision and reinforcement
- Flashcards for rapid recall of key rules, formulas, and steps
- Discussion prompts to correct misconceptions and sharpen exam technique
- Exam tips + common errors section to help you avoid lost marks
Who Is This Course For?
- IGCSE and O Level learners aiming for A–C grades through stronger understanding and exam practice.
- Students who struggle with word problems and want a step-by-step translation method that earns method marks.
- Learners who want a revision-friendly course with quizzes, flashcards, and audio recaps.
- Any student preparing for mocks, finals, or moving into advanced topics like rates, graphs, and algebraic modelling.
Course Price
$12 – Full Access
Curriculum
- 1 Section
- 7 Lessons
- 3 Hours






