1) The sum of the FIRST FIVE PRIME NUMBERS
is DIVIDED by the FIRST PRIME NUMBER.
What is this Quotient?
2) When Bob's age is subtracted from Alice's age the
answer is 20 less than the sum of their ages.
How old is Bob?
3) A jar is 1/4 full of marbles. If 25 marbles are
added to the jar, it becomes 1/3 full. How many
marbles does the jar hold when it is full?
4) You and I have some "ONE DOLLAR" Bills.
I have two more dollars than you. If I give you
one Bill, we will have the same number of bills. If you
give me one bill, I will have twice as many as you.
How many dollars do you have?
5) A bookworm ate its way through 12 books lined on a shelf.
(It ate from outside the front binding - through all the pages -
to outside the back binding.) How far did it go if the front
of each book is 1/4 inch thick, the pages are 2 inches thick and
the back binding is 1/4 inch in thickness?
6) Suppose that
2 Hershey Kisses has the same fat content as 13 M&M's
and
3 Milk Duds have the same fat content as 15 M&M's.
Which of the following has the most fat content?
a) 3 Hershey Kisses and 1 Milk Dud
b) 25 M&M's
c) 4 Hershey Kisses
d) 1 Hershey Kiss and 4 Milk Duds
7) Suppose we define a NEW SYMBOL "#" through these examples:
5# means (5 times 4) or 20
4# means (4 times 3) or 12
With this in mind, evaluate the quotient
6#/3#
8) On her birthday, Jill was 14 years old and her father Jack was 41.
Jill noticed that her age was the reverse of her father's age.
How old will Jill be the next time her age is again the reverse
of her father's age?
1)14 2)10 3)300 4)5
5)30 6)d 7)5 8)25
#9)
#10)
Click on the tiny picture
below for the answer to #10.
The ANSWERS are
upsidedown!
#11) ARRANGE 10 COINS in a TRIANGULAR SHAPE.
Move just 3 coins to switch the way this Triangle points.
(From pointing UP to pointing DOWN!)
*
The
best way
to solve a puzzle
that uses objects is
to actually use these
objects. In other words,
get out 10 pennies and put
them on a table to move around.
GOOD
LUCK!
Answer to #11) is BELOW - Click to see it!
*************************************************
12)
Elmo bought a candy bar for FORTY CENTS.
He gave the cashier a DOLLAR.
How many different ways can the cashier make
change using only NICKELS, DIMES and QUARTERS?
#12) 13 ways
13)
This is not a puzzle, but it gives an interesting result:
This is not a puzzle, but it gives an interesting result:
14)
Before you try #14 a quick review is in order:
%%%% SALE %%%% DISCOUNT %%%% SAVE %%%%
When we buy an item "ON SALE" and the store gives
us a discount, say 25% (25% OFF), there are two ways
to find the FINAL PRICE.
I) Multiply the Original (LIST) Price by .25
and then subtract this number (25% of the List Price)
from the LIST PRICE. (Thus, using two steps.)
II) A one step process of Multiply the ORIGINAL PRICE
by .75 and having this product be the Final Price.
*******************************************
With the above explanation, try this puzzle:
*******************************************
#14) Which of the following two options
would save the most money?
Option #1: You can buy a $90.00 pair of shoes
with a single discount of 29%.
OR
Option #2: The same pair of shoes ($90) can have
SUCCESSIVE DISCOUNTS of 10% and then 20%.
*******************************************
Try making you decision without performing
any arithmetic calculations.
After you make your choice, then actually
find the Final Prices under each Option.
*******************************************
AFTER YOU HAVE ATTEMPTED THIS PUZZLE,
you can view the GENERAL solution by copying
the yellow region below.
*************SOLUTION***************
You were probably surprised to find that
the one 29% discount was the best!
A more Algebraic explanation follows:
Let the LIST PRICE be represented by N.
The first of two discounts,10% off,
can be found by taking the
LIST PRICE TIMES .9 -> .9(N)
Multiplying this .9(N) times .8 results in
(.8)(.9)(N) or (.72)(N)
This is equivalent to an 28% Discount.
*************SOLUTION***************
15)
#15) 8 was the input
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