Ratios by ShapiroA

Champion(s):

TWright17
There are sewers aplenty yet to dig


Runner(s)-Up:

KlionskyG
"Small facts lead to great knowing."


Quiz Description

Not the Twitter kind.

Full Results:

Rank Player Total %ile 1 2 3 4 5 6 7 8 9 10 11 12
Money Value (% Incorrect): 45 15 60 40 25 05 60 35 80 35 99 55
1 TWright17 355 97 15
45
15
15
15
40
15
25
15
15
60
15
35
00
15
00
15
2 KlionskyG 335 92 15
45
15
15
15
15
25
15
15
60
15
35
00
15
35
00
00
3 BlomE 320 87 00
15
00
15
15
25
15
05
15
00
15
80
15
35
00
15
55
4 hughesovka 310 82 15
45
15
15
15
15
15
05
00
15
35
00
15
35
00
15
55
5 SokolM 280 77 00
15
15
00
00
15
15
05
00
15
35
15
80
00
00
15
55
6 KonkelT 275 72 15
45
00
00
00
15
15
00
15
35
15
15
35
00
00
15
55
7 ecpekkle 270 65 00
00
15
60
00
15
25
15
05
15
15
35
00
00
00
15
55
7 DMTsurel 270 65 15
45
15
15
15
40
15
25
15
05
00
15
35
00
15
00
00
9 LynchT 265 57 15
45
15
15
60
15
40
15
25
15
05
00
00
00
00
00
00
10 MoskowitzJim 260 50 15
15
15
60
15
40
15
15
05
00
15
35
00
15
00
00
00
10 GoldfarbDavidJ 260 50 15
15
15
60
15
40
15
15
05
00
15
35
00
15
00
00
00
12 Eponine 250 42 15
45
15
00
00
15
25
15
00
15
35
00
00
00
00
15
55
13 Colluventus 245 37 00
15
00
00
15
25
15
05
00
15
35
00
15
35
00
15
55
14 Jecrwin 210 32 15
45
15
15
00
00
00
15
05
00
15
35
00
15
35
00
00
15 groug 200 27 00
15
00
15
15
25
15
05
15
00
15
80
00
00
00
00
00
16 MatthewsP 195 20 15
45
15
15
00
15
40
00
15
05
15
00
00
15
00
00
00
16 RautY 195 20 00
15
15
00
15
00
15
15
00
00
00
15
35
00
00
15
55
18 SternK 155 12 00
15
15
00
00
15
25
15
05
00
00
15
35
00
15
00
00
19 Nicola 105 7 00
00
15
15
00
00
00
00
00
15
60
00
00
00
00
00
00
20 DouglasLovesVixey 75 2 00
00
00
00
15
40
00
15
05
00
00
00
00
00
00
00
00

Questions:

The "A series" of paper sizes is standard throughout much of the world, though not in North America where letter paper is generally 8.5 by 11 inches. What is the exact theoretical ratio (before rounding) of width to height for A series paper?

Click to Reveal Answer
1 : SQUARE ROOT OF 2

HD TV channels broadcast with what aspect ratio in the U.S., as well as in most of the world?

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16 : 9

What word (not a proper name) has been covered by a purple rectangle in this screenshot from Wikipedia? Despite Wikipedia's officially neutral point of view, the italicized higher hints at an editorial raised eyebrow.

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Click to Reveal Answer
HOMEOPATHS

A musical tuning system based on exact 3 : 2 pitch intervals ("perfect fifths") is commonly named after what Samian philosopher, who would presumably find the modern system of equal temperament as loathsome as the answer to Question 1?

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PYTHAGORAS

Pareto's Law is sometimes glossed as "20 percent of the population has 80 percent of the wealth". Suppose this is the case. What is the ratio of per capita wealth for members of the top 20% to per capita wealth for members of the bottom 80%?

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16 : 1

The ratio test, traditionally taught in third-quarter calculus, is used to determine whether a series does what?

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CONVERGES (OR DIVERGES)

Per the cover art on Michael Ruhlman's Ratio: The Simple Codes Behind the Craft of Everyday Cooking, for what should you use a ratio (by weight, not volume!) of 3 parts flour : 2 parts fat : 1 part water? Your smith can attest that this basic recipe works beautifully, but do add a little salt, and be sure to keep your ingredients cold.

Click to Reveal Answer
PIE DOUGH

A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser.

This is a classical definition of what is now commonly known as the golden ratio. Mathematically, this ratio is Φ:1, where Φ ≈ 1.61803 to five decimal places. Give the square of Φ to five decimal places. (No calculators!)

Click to Reveal Answer
2.61803

Per the CIA World Factbook, the six countries whose human populations have the highest sex ratios (male to female) -- ranging from 1.18 to 3.39 -- all border what body of water? Note: None of these countries have particularly unusual sex ratios at birth.

Click to Reveal Answer
PERSIAN GULF

":" : "is to" :: "::" : ??

Click to Reveal Answer
AS

This system of planetary gears consists of a stationary outer "ring" gear, a central "sun" gear with 18 teeth, three "planet" gears with 12 teeth each, and a Y-shaped "carrier". What is the ratio of turns made by the sun gear to turns made by the carrier?

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Click to Reveal Answer
10 : 3

What is the ratio of shaded area to total area in the regular octagon shown?

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Click to Reveal Answer
1 : 2