## Archive for September 6, 2017

### The Remote Associates (RAT) and Close Associates (CAT) Tests

The Remote Associates Test (RAT) is a test used to determine a person’s creative potential. When given a collection of three seemingly unrelated words, subjects are asked to supply a fourth word that is somehow related to each of the three stimulus words. For example, if you were given the words *cottage*, *swiss*, and *cake*, you’d answer *cheese, *because when combined with the three stimuli, you get *cottage cheese*, *swiss cheese*, and *cheesecake*.

To try your hand at one of these tests, you can head to remote-associates-test.com, or you can just keep on reading.

The verdict is out as to whether a high score on the RAT actually means you’re more creative. But what’s not in doubt is how much I love to solve, and to create, these items. It’s a good game for long car rides, and my wife, sons, and I can amuse ourselves for hours by creating and sharing them with one another.

For your enjoyment, I present the following **mathematical** RAT test: The fourth word related to the three stimulus words in each set is a common math term. Enjoy!

- attack / acute / fish
- inner / around / full
- phone / one / mixed
- powers / rotational / point
- up / on / hot
- tipping / blank / selling
- even / duck / couple
- black / Bermuda / love
- inkhorn / limits / short
- sub / hour / tolerance
- world / television / infinite
- ball / camp / data
- Dracula / head / sheep
- field / dead / stage
- town / off / meal
- air / hydro / geometry
- common / X / fudge
- key / bodily / dis
- disaster / 51 / grey
- ball / S / hairpin

The Close Associates Test (CAT) is a similar, yet completely fictitious, test that I just made up. Each item on a CAT test contains three words which do not appear to be unrelated in the least; in fact, they are so closely related that finding the fourth word they have in common is somewhat trivial. The following mathematical CAT test will not measure your creativity, though it might reasonably determine the depth of your mathematical vocabulary. Good luck!

- acute / obtuse / right
- scalene / equilateral / isosceles
- sine / logistic / regression
- real / irrational / whole
- proper / improper / reduced
- convergent / infinite / divergent
- in / circum / ortho
- Pythagorean / De Moivre’s / Ramsey’s
- exponential / differential / Diophantine
- convex / concave / regular
- golden / common / test
- square / cube / rational

RAT Answers:

- angle
- circle
- number
- axis
- line
- point
- odd
- triangle
- term
- zero
- series
- base
- count
- center
- square
- plane
- factor
- function
- area
- curve

CAT Answers:

- angle
- triangle
- curve
- number
- fraction
- series
- center
- theorem
- equation
- polygon
- ratio
- root

Feel free to submit more triples for the RAT or CAT test in the comments.