Puzzles


On this page you will find a collection of puzzles. A new puzzle will be added to this collection on the 1st day of each month. You will have until the last day of the month to submit your solution to each puzzle. If you find the correct solution, 10 bonus marks will be added to your mark on your next homework/evaluation. To submit your answer to the puzzle you can either:  send me an email with your name
and your solution; (pmessier@wqsb.qc.ca) NEWEST PUZZLE AT THE BOTTOM OF THIS PAGE! (PLEASE SCROLL DOWN) 



PUZZLE
NO.1
The St Ives Riddle 
As I was
going to St Ives, I met a man with seven wives. Every wife had seven sacks. Every sack had seven cats, Every cat had seven kits; Kits, cats, sacks and wives, How many were going to St Ives?

DEADLINE  Tuesday,
September 13, 2005




PUZZLE
NO.2
The Grandfather Clock

When a
grandfather
clock strikes 6 o'clock, there are 15 seconds between the first and last
strokes.
How many seconds elapse between the first and last strokes when it strikes midnight?


DEADLINE

Monday, September 26, 2005  


PUZZLE
NO.3 Efficient Weighing 
A
bricklayer has 8
bricks. Seven of the bricks weigh the same amount and 1 is a little
heavier than the others.
If the man has a balance scale how can he find the heaviest brick in only 2 weightings?


DEADLINE

Tuesday, October 11, 2005  




PUZZLE
NO.4 The TarryTown Riddle

Between SingSing
and TarryTown I met my worthy friend, John Brown, And seven daughters, riding nags, And every one had seven bags, In every bag were thirty cats, And every cat had forty rats, Besides a brood of fifty kittens, All but the nags and bags wore mittens! Mittens, kittens  cats, rats  bags, nags  Browns, How many were met between the towns?


DEADLINE

Monday, October 24, 2005  


PUZZLE
NO.5 Odd numbers

The
numbers 1 through 7 are drawn from a hat without replacement.
What is the probability that all the odd numbers will be chosen first?


DEADLINE

Friday, November 4, 2005  


PUZZLE
NO.6 The easy one

What letter follows OTTFFSSE? 

DEADLINE

Tuesday, November 22, 2005  




PUZZLE
NO.7
What colour was the bear?

A
man out hunting, spotted a bear due east. Taken by surprise, he ran
directly north, and turned to see that the bear had not moved. Steadying
himself, he took aim and shot it, by aiming due south. What colour was the
bear?


DEADLINE

Monday, December 5, 2005  




PUZZLE
NO.8
The carpenter

A
carpenter agrees to work on the condition that he is paid $200 for
everyday that he works, while he forfeits $300 everyday that he does not
work. At the end of 30 days he finds he has paid out exactly as much as he
received.
How many days did he work?


DEADLINE

Friday, December 16, 2005  




PUZZLE
NO.9 Who can tell?

Twice
six are eight of us, Six are but three of us, Nine are but four of us, What can we possibly be? Would you know more of us?


DEADLINE

Thursday, January 12, 2006  




PUZZLE
NO.10 What's the difference?

What is the difference between 6 dozen dozen and a half a dozen dozen?  
DEADLINE

Tuesday, February 7, 2006  




PUZZLE
NO.11 Wheels around wheels

How many times does a coin rotate in rolling completely about another coin, of the same size, without slipping?  
DEADLINE

Wednesday, February 22, 2006  




PUZZLE
NO.12 Chopsticks

A
firewood merchant had a number of blocks to chop up for firewood. He
chopped each block into eleven sticks.
Assuming that he chopped at the average rate of fortyfive strokes per minute, how many blocks would he chop up in twentytwo minutes?


DEADLINE

Tuesday, March 14, 2006  




PUZZLE
NO.13 The Lily in the Pond

A water lily doubles in size, that is, in the area of the leaf lying on the surface of the pond, every 24 hours. If it takes 30 days to cover the pond completely, after how many days did it cover exactly one half of the pond?  
DEADLINE

Monday, March 27, 2006  




PUZZLE
NO.14 Three into Two

You have
a frying pan which will take only two slices of bread at a time, and you
wish to fry three slices, each on both sides. Since each slice takes 20
seconds for each side, you can certainly fry them all in 80 seconds, by
doing two pieces together and then the third.
But can you fry them more efficiently?


DEADLINE

Friday, April 7, 2006  




PUZZLE
NO.15 A Square Chessboard

How many squares are there on an 8 by 8 chessboard?  
DEADLINE

Monday, April 24, 2006  




PUZZLE
NO.16 Hectic Week

When the
day after tomorrow is yesterday, today will be as far from Sunday as today
was from Sunday when the day before yesterday was tomorrow. What day is
it?


DEADLINE

Friday, May 5, 2006  




PUZZLE
NO.17
A Handy Problem

If you turn a lefthanded glove insideout, will it be righthanded or left handed?  
DEADLINE

Monday, September 25, 2006  




PUZZLE
NO.18 An Express Problem

An express train takes 3 seconds to enter a tunnel which is 1 km long. If it is traveling at 120 km an hour, how long will it take to pass completely through the tunnel?  
DEADLINE

Tuesday, October 10, 2006  




PUZZLE
NO.19 The Prisoner's Dilemma

Because
he is deemed to be a foolish man who has allowed himself to be led into
crime by his companions, the prisoner has been given a last chance. He is
shown two doors in the courtyard, one of which leads to freedom and the
other to a long sentence. Each is guarded by a warder, one of whom always
lies and one of whom is impeccably honest, but he does not know which is
which.
He is allowed one question, to be put to one of the warders. How can he discover which is the door to freedom?


DEADLINE

Monday,
October 23, 2006






PUZZLE
NO.20 The Age of Augustus de Morgan

Writing in 1864, Professor de Morgan said he was x years old in the year x^{2} A.D. When was he born?  
DEADLINE

Friday,
November 3, 2006






PUZZLE
NO.21 The Puzzling Riddle

A
row of four figures in value will be Above seven thousand nine hundred and three; But when they are halved, you'll find very fair The sum will be nothing, in truth I declare.


DEADLINE

Thursday, November 16, 2006  




PUZZLE
NO.22 The Fractions

Required of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, to compose two fractions, whose sum shall be equal to unity. Each number to be used once, and once only.  
DEADLINE

Monday,
December 4, 2006






PUZZLE
NO.23 The Boy's Age

"What
is the age of that boy?" asked the bus driver. Flattered by this
interest shown in his family affairs, the suburban resident replied:
"My son is five times as old as my daughter, and my wife is five times as old as my son, and I am twice as old as my wife, whereas grandmother, who is as old as all of us put together, is celebrating her eightyfirst birthday today." How old was the boy?


DEADLINE

Friday,
December 15, 2006




PUZZLE
NO.24 Exploring The Desert

Nine
travelers, each possessing a jeep, meet on the eastern edge of a desert.
They wish to explore the interior, always going due west. Each jeep can
travel 40 km on the contents of the engine tank, which holds a gallon of
gas (about 4 liters), and each can carry nine extra gallon tins of gas and
no more. Unopened tins can alone be transferred from jeep to jeep.
What is the greatest distance to which they can enter the desert without making any depots for gas for the return journey?


DEADLINE

Thursday, January 11, 2007  


PUZZLE
NO.25 The Boat In The Bath 
Tommy
was floating a boat in a tub of water. The boat was initially loaded with
a small metal canon, but then the cannon fell into the water sank to the
bottom, leaving the boat floating as before. No water got into the boat
while this happened.
Did the level of the water rise, fall, or stay the same, as a result of the cannon falling overboard?


DEADLINE

Tuesday,
February 6, 2007




PUZZLE
NO.26 The Schoolboys

Two
schoolboys were playing on the tool shed roof. Something gave way, and
they were precipitated, through the roof, on to the floor below.
When they picked themselves up, the face of one was covered with grime. The other's face was quite clean. Yet it was the boy with the clean face who at once went off and washed. How is this explained?


DEADLINE

Wednesday, February 21, 2007  


PUZZLE
NO.27 The Convivial Visitor

"There
are only four pubs in this village", the visitor was informed,
"one in each street. The village's four streets meet at the
crossroads at rightangles. This street is the High Street".
"To reach the Blue Boar from the Griffin you must turn left. To reach the Dragon from the Red Lion you have to turn right". The visitor entered three of the pubs; he arrived at the crossroads three times during this pilgrimage, turning left the first time, going straight across the second, and turning right the third time. He spent the night at the Blue Boar. Which pub stands in the High Street?


DEADLINE

Tuesday, March 13, 2007  


PUZZLE
NO.28 Lies, Lies and More Lies

Here
are ten numbered statements. How many of them are true?
1. Exactly 1 of these statements is false


DEADLINE

Monday
March 26, 2007




PUZZLE
NO.29 The Balloon

Mr.
Smith's little boy sits in the back seat of a car, holding a balloon on a
string. All the windows of the car are closed tight. The balloon is full
of helium and is tethered by a string, which prevents it from touching the
roof of the car. The car turns left at a crossroad. Does the balloon swing left, swing right, stay upright, or do something else? And why?


DEADLINE

Tuesday April 10, 2007  


PUZZLE
NO.30 The Jigsaw Puzzle

In
assembling a jigsaw puzzle, let us call the fitting together of two pieces
a "move", independently of whether the pieces consist of single
pieces or of blocks of pieces already assembled.
What procedures will minimize the number of moves required to solve an "n" piece puzzle? What is the minimum number of moves needed?


DEADLINE

Monday
April 23, 2007




PUZZLE
NO.31 The Programmer's Shirts

A neat computer programmer wears a clean shirt every day, If he drops off his laundry and picks up the previous week's load every Monday night, how many shirts must he own to keep him going?  
DEADLINE

Friday, May 4, 2007  


PUZZLE
NO.32 The Delightful Discounts 
Buying
from your favorite store you are offered a discount of 5 per cent for
payment in cash, 10 per cent as a longstanding customer, and 20 per cent
because it is sale time.
In what order should you take these discounts in order to pay as little as possible for your purchase?


DEADLINE

Thursday, May 17  


PUZZLE
NO.33 The Simple Sums

Take any fourdigit number, arrange the numbers in ascending and descending order to form two numbers, and subtract the smaller from the larger. Repeat the same process with the answer. What is the result  eventually?  
DEADLINE

Tuesday,
September 25




PUZZLE
NO.34 The Ship's Ladder

The
good ship Algebra lay at anchor in Montreal Harbour. An interested
spectator observed that a ladder was dangling form her deck; that the
bottom four rungs of the ladder were submerged; that each rung was 4 cm
wide and that the rungs were 22 cm apart. The tide was rising at the rate
of 36 cm per hour.
At the end of two hours, how many rungs would be submerged?


DEADLINE

Tuesday, October 10  


PUZZLE
NO.35 The Triangle and The Square

By
suitably placing a 6 cm square over a triangle, I can cover up to
threequarters of the triangle. By suitably placing the triangle over the
square, I can cover up to onehalf of the square.
What is the area of the triangle?


DEADLINE

Wednesday, October 24  


PUZZLE
NO.36 The Beer and The Wine

A
grocer has 6 barrels of different sizes, containing 15, 16, 18, 19, 20 and
31 litres. Five barrels are filled with wine, and only one is filled with
beer.
The first customer bought 2 barrels of wine, and a second customer also bought wine, but twice as much as the first. Which is the beer barrel?


DEADLINE

Monday,
November 5




PUZZLE
NO.37 The Ages of Man

A
man passed onesixth of his life in childhood, onetwelfth in youth, and
oneseventh more as a bachelor. Five years after his marriage, a son was
born who died four years before his father at half his father's final age.
What was the man's final age? 

DEADLINE

Monday, November 19  


PUZZLE
NO.38 The Escalator

A
certain delivery man, who is always in a hurry, walks up an upgoing
escalator at the rate of one step per second. Twenty steps bring him to
the top.
Next day, he goes up at two steps per second, reaching the top in 32 steps. How many steps are there in the escalator?


DEADLINE

Tuesday,
December 4




PUZZLE
NO.39 The Age Problem

Julia
and Lucy Montgomery are both 90 years old. Mary Williams, on the other
hand, is half again as old as she was when she was half again as old as
she was when she lacked 5 years being half as old as she is now.
How old is Mary? 

DEADLINE

Monday,
December 17




PUZZLE
NO.40 The Close Race

Two
hot rodders compete in a drag race. Each accelerates at a uniform rate
from a standing start. John covers the last quarter of the distance in 3
seconds; Alex covers the last third in 4 seconds.
Who won? 

DEADLINE

Friday, January 11  


PUZZLE
NO.41 The 3 Generations

When
I am as old as my father is now, I shall be five times as old as my son is
now. By then my son will be eight years older than I am now.
The combined ages of my father and myself are 100 years. How old is my son?


DEADLINE

Wednesday,
February 6




PUZZLE
NO.42 The Bricklayers

A
contractor estimated that one of his two bricklayers would take 9 hours to
build a certain wall and the other 10 hours. However, he knew from
experience that when they worked together, 10 fewer bricks got laid per
hour.
Since he was in a hurry, he put both men on the job and found it took exactly 5 hours to build the wall. How many bricks did it contain?


DEADLINE

Wednesday,
February 20




PUZZLE
NO.43 The Atom Smasher

Does
the square root of an ATOM extend from A to M?
Yes, if you can assign the proper numerical values to the letters. Here ATOM is a fourdigit number and TO is a twodigit number.


DEADLINE

Tuesday, March 11  


PUZZLE
NO.44 Two Men on a Horse

Robert
and Sam have only one horse between them. Robert rides a certain time and
then ties up the horse for Sam, who has been walking. Meanwhile Robert
walks on ahead. They proceed in this way, alternating walking and riding.
If they walk 4 km per hour and ride 12 km per hour, what part of the time is the horse resting?


DEADLINE

Wednesday,
March 26




PUZZLE
NO.45 A Decreasing Ratio

Jim
was three times as old as his sister 2 years ago and five times as old 2
years before that.
In how many years will the ratio be 2 to 1? 

DEADLINE  Wednesday,
April 9




PUZZLE
NO.46 A Polyhedron

The
faces of a solid figure are all triangles. The figure has 9 vertices. At
each of 6 of these vertices, 4 faces meet, and at each of the other 3
vertices, 6 faces meet.
How many faces does the figure have?


DEADLINE

Tuesday, April 22  


PUZZLE
NO.47 A Special Sphere

The
area and volume of a certain sphere are both 4digit integers times pi.
What is the radius of the sphere? 

DEADLINE

Monday, May 5  


PUZZLE
NO.48 A Pie Shaped Field

A
farmer owned a square field measuring exactly 2261 meters on each side.
1898 meters from one corner and 1009 meters from an adjacent corner stood
a beech tree.
A neighbor offered to purchase a triangular portion of the field, stipulating that a fence should be erected in a straight line from one side of the field to an adjacent side so that the beech tree was part of the fence. The farmer accepted the offer but made sure that the triangular portion was of minimum area. What was the area of the field the neighbor received, and how long was the fence?


DEADLINE

Tuesday,
May 20




PUZZLE
NO.49 Changing The Base

An
isosceles triangle has a 10 cm base and two 13 cm sides.
What other values can the base have and still yield a triangle with the same area? 

DEADLINE

Friday, October 31  


PUZZLE
NO.50 Cubes And More Cubes

Find a threedigit number that is the sum of the cubes of its digits.  
DEADLINE

Friday, November 28  


PUZZLE
NO.51 All The Digits

Arrange
the digits 0 through 9 in fractional form so that:
(XXXXX)/(XXXXX) = 9 

DEADLINE

Monday, January 5  


PUZZLE
NO.52
That's Grrr8!

How can you add eight 8's to get the number 1,000? (You are only allowed to use additions) 

DEADLINE

Tuesday, February 2  


PUZZLE
NO.53 The Juice

How can you measure 1 litre of juice out of a barrel, if all you have available is a 3litre and a 5litre pitcher?  
DEADLINE

Friday, February 27  


PUZZLE
NO.54 The Fractions

What is the number that is 5 more than the number which is onefifth of onefifth of onehalf of 1050?  
DEADLINE

Tuesday, March 31  


PUZZLE
NO.55
The Bag of Oranges

Robert
bought a bag of oranges on Monday, and ate a third of them. On Tuesday he ate half of the remaining oranges. On Wednesday he looked in the bag to find he only had two oranges left. How many oranges were originally in the bag?


DEADLINE

Thursday,
April 30




PUZZLE
NO.56
The Bridge

A group of four people has to cross a bridge. It's
dark, and they have to light the path with a flashlight. No more than
two people can cross the bridge at at time, and the group has only one
flashlight. It takes different time for the people in the group to cross
the bridge: Angie crosses the bridge in 1 minute, How can the group cross the bridge in 17 minutes?


DEADLINE

Friday,
May 29




PUZZLE
NO.57
The Coin Collection

A man
decides to divide his coin collection between his children. The oldest
gets 1/2 of the collection, the next gets 1/4, the next gets 1/5, and the
youngest gets the remaining 49 coins.
How many coins are in the collection? 

DEADLINE

Wednesday, September 30  


PUZZLE
NO.58
The Sisters

Rachel is now twothirds of Sally's age. In six years, Rachel will be fourfifths of Sally's age. In 15 years, Rachel will be seveneighths as old as sister Sally. If they are both under the age of ten, how old are they now?  
DEADLINE

Friday, October 30  


PUZZLE
NO.59
Unique numbers

There is
a 2digit number that is 6 times the sum of its digits.
What is this number? 

DEADLINE

This
was the last puzzle for this year.
SEE YOU NEXT SCHOOL YEAR! 


