R.P.I.

Can you decipher this phrase?

R.P.I.


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The Father of Algebra

Diophantus was a Greek mathematician who lived in the third century. He was one of the first mathematicians to use algebraic symbols.

Most of what is known about Diophantus's life comes from an algebraic riddle from around the early sixth century. The riddle states:

Diophantus's youth lasted one sixth of his life. He grew a beard after one twelfth more. After one seventh more of his life, he married. 5 years later, he and his wife had a son. The son lived exactly one half as long as his father, and Diophantus died four years after his son.

How many years did Diophantus live?


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As newly-appointed chief community chemist, your task is to complete the following compounds by finding the bonding element which these compounds have in common. This element (i.e. word) may be joined with each clue word, either before or after it, to form a compound word. Thus, each clue word constitutes half of a compound word, and the answer word completes each of these compound words. The two component words comprising each compound word (i.e. the clue word and the answer word) may be separated by a space or a hyphen.

For example, given the clue words:
park, room, soft, joint

the answer would be:
ball

since "ball" may be joined with each given clue word to form the following compound (or phrasal) words respectively:

ballpark, ballroom, softball, ball joint


Good luck with your compound formation!


1. clip, surf, room, circuit
2. front, length, short, shock
3. work, shot, alarm, radio
4. book, time, down, ground


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As newly-appointed chief community chemist, your task is to complete the following compounds by finding the bonding element which these compounds have in common. This element (i.e. word) may be joined with each clue word, either before or after it, to form a compound word. Thus, each clue word constitutes half of a compound word, and the answer word completes each of these compound words. The two component words comprising each compound word (i.e. the clue word and the answer word) may be separated by a space or a hyphen.

For example, given the clue words:
park, room, soft, joint

the answer would be:
ball

since "ball" may be joined with each given clue word to form the following compound (or phrasal) words respectively:

ballpark, ballroom, softball, ball joint


Good luck with your compound formation!


1. bench, conference, board, agency
2. cat, back, curtain, crank
3. load, dump, stop, fire
4. core, pressed, line, ware


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My first is a well-known Apple's section
My second is a labour defection
My whole wipes out a pin collection

What am I?


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One Plus One Equals? #2

In this teaser you are required to find a word relating to mathematics hiding in consecutive letters within each sentence. Have fun!

Example:

"They knew that they had done the wrong thing."

Answer: ADD located in: "...hAD Done..."


1. The governor gave the budget a cut everywhere possible.

2. It is rumoured that Capri men often marry Naples women.

3. He drove his new Mustang entirely too recklessly.

4. Groucho and Harpo were two of the Marx brothers.


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What Number

What number, when spelled out, has no repeated letters and has each of the vowels (not including Y) once?


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For each of the following, find a word that may be placed in front of each of the three words in the group to form three new valid words. The resulting "binary" words may be singular (possibly hyphenated), or phrasal (i.e. the two component words are separated by a space) in construction.

For example, given: "light, rise, tide", you would need to find the word "high", which, when placed in front of these words, results in the three new valid words: "highlight", "high-rise", and "high tide" respectively.


1. grade, shift, low
2. draw, fix, sand
3. off, room, case
4. room, kit, box


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For each of the following, find a word that may be placed in front of each of the three words in the group to form three new valid words. The resulting "binary" words may be singular (possibly hyphenated), or phrasal (i.e. the two component words are separated by a space) in construction.

For example, given: "light, rise, tide", you would need to find the word "high", which, when placed in front of these words, results in the three new valid words: "highlight", "high-rise", and "high tide" respectively.


1. cheese, print, jacket
2. horse, room, matter
3. board, out, jack
4. mark, case, club


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For each of the following, see if you can determine the verb that completes the phrase "things you can...", based on the set of three clue words/phrases provided, which are linked, having this verb as a common bond.

Example: taxes, tribute, attention
Answer: pay

The answer is the verb "pay". It completes the phrase "things you can..." i.e. making the complete phrase "things you can pay". This is the answer, since the clue words "taxes", "tribute", and "attention" all fit the phrase "things you can pay" i.e. you can pay taxes, you can pay tribute, and you can pay attention.


1. thanks, advice, a reason
2. fault, solutions, shelter
3. a destination, an agreement, the shore
4. a point, a case, a theory


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For each of the following, see if you can determine the verb that completes the phrase "things you can...", based on the set of three clue words/phrases provided, which are linked, having this verb as a common bond.

Example: taxes, tribute, attention
Answer: pay

The answer is the verb "pay". It completes the phrase "things you can..." i.e. making the complete phrase "things you can pay". This is the answer, since the clue words "taxes", "tribute", and "attention" all fit the phrase "things you can pay" i.e. you can pay taxes, you can pay tribute, and you can pay attention.


1. face, money, time
2. a fire, a business, a conversation
3. ball, cards, games
4. action, cover, heart


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My first, with water, wants not to bond
My second may be found on a pond
My whole, a toy of which Ernie's fond

What am I?


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For each of the following, see if you can determine the verb that completes the phrase "things you can...", based on the set of three clue words/phrases provided, which are linked, having this verb as a common bond.

Example: taxes, tribute, attention
Answer: pay

The answer is the verb "pay". It completes the phrase "things you can..." i.e. making the complete phrase "things you can pay". This is the answer, since the clue words "taxes", "tribute", and "attention" all fit the phrase "things you can pay" i.e. you can pay taxes, you can pay tribute, and you can pay attention.


1. doors, shopping carts, buttons
2. weight, patience, consciousness
3. school, breakfast, rope
4. suit, leaders, rules


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Without my first, I signify disinclination
Without my last, I am a deposit location
Without both, upon me is built a habitation

What am I?


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Ubiquitous Counterpart

Though my counterpart looks different than me
We have a certain equivalency

I might define a classical song
I can start off as short or long

Often, I collaborate with my peers
To bring different sounds to your ears

Often, when found at the ending
From me you won't hear a thing

What am I?


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Fill 'er Up

Insert the words in COLUMN II into the spaces in COLUMN I to form words. Do not rearrange the letters.

COLUMN I............. COLUMN II

IN_ _ _ _O.............ACHE
CON_ _ _ _ NT........AUNT
H_ _ _ _ING...........BAND
EX_ _ _ _ENT..........BITE
OR_ _ _ _R............CELL
TA_ _ _ _RY...........CENT
DIS_ _ _ _T............CHAR
FOR_ _ _ _ TE.........COLA
AL_ _ _ _ R.............DIME
EM_ _ _ _ Y.............DOME
PER_ _ _ _ TE..........EACH
A_ _ _ _ ON.............FERN
DIS_ _ _ _ GE..........JOIN
O_ _ _ _ TER...........LOVE
IN_ _ _ _ IVE...........PATH
IM_ _ _ _OR............PEST
B_ _ _ _LOR............POST
T_ _ _ _ER..............TUNA


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My first makes art appreciators contented
My second means no transactions are resented
My whole, a place artisans' wares are presented

What am I?


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Opaque Marble Balls

Lost in the woods, you come upon a mysterious stranger who hands you two large spheres made of two kinds of opaque marble. The spheres look the same, are the same size and have the same weight and apparent density; however, one is solid and the other hollow. The hollow sphere contains a tiny map that will enable you to navigate your way home. Unfortunately, you cannot break the spheres. The stranger agrees to open the sphere that contains the map only if you can determine which sphere is hollow. How do you determine which sphere is hollow?


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Behead V

When you behead a word, you remove the first letter and still have a valid word. You will be given clues for the two words, longer word first.
Example: Begin -> Sour, acidic
Answer: The words are Start and Tart.

1. Long depression between heights -> Narrow passage between walls
2. Selling -> Ceasing; conclusion
3. Spew out -> Leave out
4. Justify; show to be blameless -> Point out
5. Moral weakness -> Frozen water
6. Personal guarantee -> Expression of pain
7. Making a promise -> Due for payment
8. Boast; self-praise -> Female relative


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Sound of Honour

I'm a ten-letter word, but when I am heard,
I have only four, not one letter more.

My first two sounds are neat; a kind of sheet,
That starts with spread, not the kind on a bed.

Of my sounds, the third is what will be heard,
alphabetically, in the middle of modus operandi.

If you want to hear more, then like the shore,
I end at the sea, that's a hint, you see.

What word am I?


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