Ratios and Proportions Study Guide: 59 Flashcards from Antecedent to the Golden Ratio
Learn the vocabulary of ratios: antecedent, means and extremes, direct and inverse proportionality, the golden ratio, plus the one card you should rewrite.
Studying. But it's also a video game. 🎮
Flashcards, quizzes and games that make you actually remember.
Posted by
FLIP IT TeamRelated reading
Master the Order of Operations: 24 Flashcards on PEMDAS, Implied Multiplication and Notation Traps
Learn the order of operations with deck TE9011: the four-level hierarchy, PEMDAS traps, implied multiplication and the ambiguities nobody warns you about.
Learn fractions, decimals and percentages with 75 flashcards: mixed numbers, lowest terms, adding and dividing fractions, repeating decimals, percent conversions.
Open Ratios and Proportions (deck code QG4709, 59 cards) expecting drill problems and you will be surprised: this is a vocabulary deck. It teaches you what a ratio is — the words mathematicians use for its parts, how it differs from a rate, why Euclid said a length and an area cannot share one. If you need twenty word problems before Friday, this is not that deck. If you keep half-guessing what antecedent or continued proportion means, it is exactly that deck.
Study this deck: Ratios & Proportions
1 / 10Ratio in mathematics
Tap the card for the answer · swipe right if you knew it, left if not
Sample cards
| Front | Back |
|---|---|
| Antecedent in a ratio | The first term (A) in a ratio A:B |
| In the proportion A:B = C:D, what are the means? | B and C are called the means of the proportion |
| Express the ratio 4:5 in the form 1:x | 1:1.25 (divide both sides by 4) |
| If a bowl has 8 oranges and 6 lemons, what is the ratio of oranges to total fruit? | 8:14, which simplifies to 4:7 |
| Inverse proportionality | Two variables are inversely proportional if xy = k (constant), or y = k/x |
| Graph of inverse proportionality | A rectangular hyperbola that never crosses either axis |
| Ratio of diagonal to side of a square | The square root of 2 to 1, an irrational ratio discovered by the Pythagoreans |
| Duplicate ratio of p:q | p:r, when p, q and r are in proportion |
| odds of 7:3 against | 7 chances the event will not happen for every 3 chances it will (30% probability) |
| Rate in mathematics | A non-dimensionless quotient comparing quantities with different units (km/h, g/mL) |
Everything the 59 cards cover
Terminology: antecedent, consequent, means and extremes, continued proportion, simplest form, unitless ratio, aliquot part, multiple. Technique: simplifying by the greatest common factor, converting to 1:x and x:1 form, turning a three-or-more-term ratio such as 5:9:4:2 into part-of-whole fractions and percentages, reading a dilution as 1/5 concentrate. Proportionality: direct (y = kx, a line through the origin), inverse (xy = k), the constant of variation, the proportional-to symbol, worked examples from distance-time and circumference-diameter. Famous ratios: the golden ratio and its defining property, the silver ratio, root-2, pi, the Fibonacci limit, 4:3 and 16:9 aspect ratios. Plus history and edge cases: the Greek logos etymology, Euclid's equality test, the Archimedes property, geometric progressions, duplicate and triplicate ratios, barycentric and trilinear coordinates, w/v concentrations.
How to study it
Drill the 1:x and x:1 conversion on your own numbers. Two cards teach it and it carries almost all the practical work — screen ratios, mix ratios, odds, unit rates. Cover the answer, do 4:5, then invent five more (7:2, 3:11, 9:4) before you flip. It is the one skill here that transfers straight to exam questions.
Correct the silver ratio card. It gives the defining relation as (a+b)/a = a/2b, which does not produce 1 + root 2. The silver ratio satisfies (2a+b)/a = a/b. Rewrite the back while you are in the deck, because it sits right next to the golden ratio card and the two will blur together.
Two cards only give Unicode codepoints for the proportional and ratio symbols — typography trivia, not maths. Suspend them and you lose nothing.
Numbers expressed three ways is the other half of this topic: pair the deck with the fractions, decimals and percentages study guide.
Ratios and Proportions (QG4709) is waiting in the library at flip-it.app.
Ready to learn faster? 🚀
Join FLIP IT for free and turn studying into a game.