Mathematics 30 flashcards ~15 min

Ratio, Proportion and Percentages

Ratios, proportions, and percentages are everyday math skills used in finance, cooking, shopping, and countless other contexts. This deck covers how to simplify and compare ratios, solve proportions using cross-multiplication, and calculate percentage increase...

About this deck

Ratios, proportions, and percentages are everyday math skills used in finance, cooking, shopping, and countless other contexts. This deck covers how to simplify and compare ratios, solve proportions using cross-multiplication, and calculate percentage increase and decrease. You'll also review direct and inverse proportion, unit rates, and practical applications like discounts, markups, and map scales. A great refresher for middle school through early high school math, or anyone wanting to sharpen everyday numeracy skills.

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A comparison of two quantities showing how many times one contains the other
An equation stating that two ratios are equal
Multiply the numerator of one ratio by the denominator of the other and set them equal
A number expressed as a fraction of 100
Multiply the fraction by 100
Divide the percentage by 100
The amount of increase divided by the original value, times 100
The amount of decrease divided by the original value, times 100
A ratio comparing a quantity to one unit of another quantity
A relationship where two quantities increase or decrease together at a constant rate
A relationship where one quantity increases as the other decreases proportionally
Multiply 50 by 0.20 to get 10
(New value − Old value) / Old value × 100
A comparison between two distinct parts of a whole
A comparison between one part and the total whole
Divide both terms by their greatest common factor to get 2:3
1.618
"Per hundred"
Multiply the original price by the discount percentage and subtract from the original price
The amount added to the cost price to determine the selling price
A unit representing the arithmetic difference between two percentages
Divide the new value by (1 + percentage increase as a decimal)
A relationship involving more than two ratios combined
50,000 cm (500 meters) in real life
Organizing equivalent ratios to solve proportion problems
Write the first term over the second term, e.g. 3:4 as 3/4
Probability can be expressed as a percentage representing likelihood
A percentage applied to a value to calculate tax owed
The ratio at which one currency can be exchanged for another
9 cups