Head Games | Mind & Brain Cover Image: April 2005 Scientific American Magazine See Inside

Head Games

Match wits with the Mensa puzzler



1 Despite the price of heating oil, make your way from COLD to WARM in exactly five steps on this word ladder. Change one letter at a time to make a good English word at each step.

C O L D

_ _ _ _

_ _ _ _

_ _ _ _

W A R M

2 A question is coiled in the grid below. To spell it out, start with one letter and move to an adjacent letter in any direction. (Hint: Start with a "W.")

W	H	F	E	E	N	I	N	H	C	H
A S F R E C H C A T A
T T D I B T T C N A N
E H G T E W A E D F C
W E I H E E N A N A E

3 The big store sales were on. Unfortunately, the $100 fancy quilt wasn't selling. It was reduced by 40 percent but didn't sell. Then it was reduced 20 percent further, and it still didn't sell. Finally, it was reduced another 25 percent, and it sold. What did it sell for, and what percentage of the original amount was that price?

4 Jane has a number of quarters. She gives one fourth of her collection plus five quarters to her daughter Casey. She gives half of what is left plus five quarters to her friend Sally and then half of what is left plus five quarters to her pal Mary. Jane keeps 10 quarters for herself. How many did she have originally?

5 What three words, formed from different arrangements of the same five letters, can be used to complete the following sentence?

The tourist complained, "Those money changers are _____. They said, 'My _____ are equivalent to _____,' and they aren't."

6 Fill in the missing letters using the definitions at left.

A class or division C A T _____

A terrible accident C A T ________

A type of curve C A T _____

A type of weapon C A T _____

A religious building C A T ______

7 An eight-letter word appears in the box below. Find it by beginning with the correct letter and moving clockwise or counterclockwise around the box, using each letter only once.

E Z E

E R

W T S

8 Which one of the four words in the second line below goes best with the four words in the first line?

CATTLE CANDLE WONDER CAPSTAN

ALWAYS HAMBURGER CHAIR BEND

9 Figure out the pattern used in the first three circles and put in the missing number in the fourth circle.

8 6 9 5 9 1 12 9

8 16 32 ?

10 If six painters can paint a total of six rooms in two days, how long will it take two painters to paint eight rooms?

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