Percentage Conversions and Calculations – R9

Ratio, Proportion, and Rates of Change III – Edexcel GCSE (1MA1): Higher Tier

In this course, Dr Thomas Woolley (Cardiff University) continues exploring how to relate numbers, specifically using percentages, ratios in shapes, and direct and inverse proportion, covering Topics R9-R14 in the Pearson Edexcel GCSE (9-1) in Mathematics (1MA1) Specification for Higher Tier. In the first mini-lecture, learn about percentages and how to convert a percentage to a fraction or a decimal (Topic R9). In the second mini-lecture, we work with percentage changes and percentages that are greater than 100% (Topic R9). In the third mini-lecture, we work with percentages in financial contexts (Topic R9). In the fourth mini-lecture, we use ratios to relate similar shapes (Topic R12). In the fifth mini-lecture, we use similarity and ratios to understand and compare right triangles (Topic R12). In the sixth mini-lecture, we introduce direct proportionality and in the seventh mini-lecture we introduce inverse proportionality (Topics R10, R13, R14). In the eighth mini-lecture, we extend our understand of proportionality to formulate equations involving more complicated quantities in direct and inverse proportion (Topic R13).

Percentage Conversions and Calculations – R9

In this mini-lecture, we introduce Topic R9 by thinking about percentages, focusing in particular on: (i) how to convert a percentage to a fraction or a decimal along with examples; and (ii) how to use percentages to compare fractions with different denominators.