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Corrections: (i) At 58:45 the scale is 1 : 3,500,000 not 1 : 35,000,000 For the full lesson visit the following links: IGCSE: https://www.youeducate.org/learn/igcs... O Level: https://www.youeducate.org/learn/olev... This lesson is tailored for the topic 1.Number and its subtopic 1.11 of the Cambridge IGCSE Math (0580) syllabus. This is video no. 16 of the IGCSE Math playlist. This lesson is tailored for the topic 11 of the Cambridge O Level Math (4024) syllabus. This is video no. 15 of the O Level Math playlist. 00:00 - Ratio: Introduction and Examples 05:45 - Proportion: Introduction and Examples 07:07 - Checking if two ratios form a proportion: Method 1- Reducing fractions to its simplest form 07:35 - Method 1: repetition 08:00 - Method 2: Cross Product 09:00 - Alternate method of using the terms of the proportion 11:39 - Solved Examples 16:39 - Dividing a quantity in a given ratio-solved examples 24:20 - More worked out examples 31:30 -Direct Proportion/Direct Variation with worked out example 37:15 - Inverse Variation with solved example 40:55 - Direct Variation table; worked out question 43:15 - Inverse Variation table; worked out question 45:00 - Increasing or Decreasing quantities in a given ratio 48:00 - Real life examples 49:40 - Ratio of enlargement-worked out example 51:00 - Scale on a map-worked out examples 59:45 - Compound measures: Speed, Distance and Time 1:01:45 - Density, Mass and Volume 01:03:00 - Area, Population and Population Density 01:04:45 - Worked out examples Professor Jayashree Lakshmanan is the head of YouEducate's math program. She has taught IB, AP, O-level, A-level, and IGCSE Mathematics for many decades in institutions such as the American International School and MCTM International. Professor Lakshmanan is also a licensed examiner and consultant.