Scroll down for answers
58
Your pockets are tearing from the weight of all
the coins in them. After you unload them onto the kitchen table, you discover
something surprising. You have exactly the same number of pennies, nickels,
dimes, and quarters, totaling $6.15. How many of each coin do you have?

         
57
a) How many bits in a nibble
b) How many seconds in a jiffy
c) How many Smidgeons in a Skosh
d) How many Square rods in a Rood

         
56
5 + 5 + 5 = 550
this is an untrue statement
there are 3 ways to make it
true
by adding only one line.

         
55
If 8 crows can steal 8 buttons in 8 minutes,
how many buttons can 16 crows steal in 16 minutes?

         
54
Unluckily,
last week I lost my measuring tape. It was unlucky as I had to measure
makeup box. Luckily though I could remember that the top had an area
of 720 square inches, the side was 800 square inches and the end was 360
square inches. What were the true dimensions of the box?

         
53
The ages of a father and son add up to 66.
The father's age is the son's age reversed.
How old could they be?
(3 possible solutions ~ try to find all 3).

         
52
If
2 miles of fence enclose a square plot of 160 acres,
how large a square will 4 miles of fence enclose?

         
51
Can you make 10 plus 4 = 2 ?

         
50
2[3(7+5)]=2[3*12]
is an example of what proporty
          
49
1011 in binary is what in base ten?

         
48
A domino is exactly the same size as two
squares of a standard 8x8 chessboard. 32 dominoes can be arranged to tile
the chessboard with no gaps or overlaps. If two diagonally opposite corner
squares are removed, is it possible to tile the remaining 62 squares with
31 dominoes?

         
47
·
1 inch = ?
barley corns
·
1 vara = ? inches (official measurement of land
in Texas)
· 1 hogshead = ? barrels, or ?
gallons
· 1 cord (firewood) = ? feet x ?
feet x ? feet (for accurate measurement, firewood
should be stacked loose enough that a squirrel can run thru the woodpile
· 1 section = ? mile x ?
mile = ? acres
· 1 township = ? miles x ?
miles (standard size for states admitted to the U.S. after President Jefferson
put some order to things (starting with Ohio), but may vary depending
on natural borders, larger political borders, and adjustments for narrowing
of longitudinal lines as you go north)

         
46
December
Can you replace the question marks
with maths symbols (+/x)
and make the equation correct:
(9 ? 1) ? (7 ? 6) ? (8 ? 4) = 3

         
45
November
In the local
wood there are a number of trees.
On these trees there are a number of birds.
The local game keeper knows that there are as many birds on each tree
as there are trees in the wood. He also knows that there are between 2000
and 2100 birds in total.
How many trees are there in the wood?

         
44
October
How many Monkeys equal
two Archers less 20 Ponies?

         
43
September
111,111,111 x 111,111,111 =

         
42
A frog is at the bottom of a well 10 feet
deep.
He can jump 3 feet, but every time he jumps 3 feet,
he falls back 2 feet.
How many jumps will he have to make to get out of the well?

         
41
How
many cubic feet of dirt are in a hole
of one foot deep, three feet long, and two feet wide?

         
40
In each group
each of the letters A through H has one of the eight values listed. No
two letters have the same value. The simple arithmetic problems are clues
for determining the values of each letter.
The three groups are independent.
Group 1
2,5,6,8,10,13,15,21
H+D=G
EC=D
H+G=A
F+H=C
EF=G
B+E=A
Group 2
3,4,5,9,12,13,17,22
CA=B
H+D=A
D+F=G
FA=E
CD=G
Group 3
4,5,6,10,11,14,15,20
BG=H
A+E=C
FC=H
DB=A
A+H=G
E+F=D

           
39
In
the Art Gallery is a new conceptual art piece. The artist created a huge
pile different paintings;
periodically he picks up one of the paintings and hangs it on the wall,
and adjusts it.
At
11:00, the painting titled "Number 30" was hung.
At
4:00, the painting titled "Number 240" was hung.
At
7:30, the painting titled "Number 315" was hung.
What
painting will the artist hang on the wall at 9:20?

     
38
A
ship is twice as old as the ship's boiler was
when the ship was as old as the boiler is.
What is the ratio of the boiler's age to the ship's age?

     
37
Using
eight eights and addition only,
can you make 1000?

     
36
Can
you take four 7's and arrange them
with any math symbols needed to make the total be 100?

     
35
A large fresh
water reservoir has two types of drainage system. Small pipes and large
pipes. 6 large pipes, on their own, can drain the reservoir in 12 hours.
6 small pipes, on their own, can drain the reservoir in 18 hours. How
long will 6 large pipes and 6 small pipes take to drain the reservoir?

      
34
Kansas
City and St. Louis are 240 miles apart. Train "A" leaves Kansas
City travelling towards St. Louis at 60 mph; Train "B" leaves
St. Louis at the same time, travelling towards Kansas City at 40 mph.
Which train will be farther from St. Louis when they meet?
       
33
A
four digit number (not beginning with 0) can be represented by ABCD. There
is one number such that ABCD=A^B*C^D, where A^B means A raised to the
B power. Can you find it?

   
32
Kevin
and Smith are in charge of counting people who get on and off the lift.
They take turns riding to the top floor and back down, counting as they
go. After two such trips each morning and two in the evening, there is
an average taken.
The
hotel manager wants to know the days average.
1.
On Smith's noon trip there were 32 fewer people than in his morning count.
2. Kevin counted a total of 122 in the morning and noon counts, just one
higher than his evening count, but 24 more than Smith's Evening count.
3. Kevin's morning count is the same as Smith's average.
4. Kevin's evening count was 37 more than Smith's morning count.

     
31
What number divided by 4 is the same
as that number minus 4?
   
  
30
FOUR is HALF of FIVE.
Is this statement True or False?
      
29
How many Boxes measuring
1m x 1m x 50cm
can be packed into a container measuring
6m x 5m x 4m
      
28
How many
oneinch cubes
will it take to make a cubic foot?
      
27
Use
four 9's in a math equation that equals 100.
      
26
After teaching
a class all about roman numerals
(IX=9, X = 10 and so on)
the teacher asked his class to draw a single continuous line and make
IX = 6.
The only stipulation the teacher made was that the pen could not be lifted
from the paper until the line was complete.
     

25
A man was asked what price
per 100 he paid for some apples.
His reply was as follows:
"If they had been 4 cents more per 100 I should have got five less
for $1.20."
Can
you say what the price was per 100?
     

24
In addition shown below, each
of the letters A, B, C, D, and E represents one of the ciphers from 1
up to 5 (equal letters represent equal ciphers and different letters represent
different ciphers).
The
first and last ciphers of the sum are given.
A B C D E
D A B E C
E A A B C
A C D A E
 +
9 C B A 0
      
23
Working
at the stables there are a number of lads
and lasses looking after the horses. In all there are 22
heads and 72 feet, including all the lads, lasses & horses.
If
all the lads, lasses & all the horses are sound of body
and limb, how many humans and how many horses
are there in the stables?
          
22
Sue, Les
And John share out a certain sum of money between them.
Sue
gets 3 fifths, Les gets 0.35 and John gets £90.00
How
much is the original sum of money?
        
 
21
On
your Calculator can only use the
7, 8, 9 and the +  x = buttoms
What's the
fastest way to make these numbers appear on your screen?
a)
5 ... b) 25 ...
c) 50 ... d) 100
        
 
20
Put
three + signs and one  sign in the below numbers
to make the sum work
9 8 7 6 5 4 3 2 1 = 100
        
 
19
7997
is a palindromic number (same forwards as it is backwards)
If
you count upwards from 7997 what is the next palindrome you get?
Try it with 41314 and with 99999
        
 
18
Carmen,
Jordy, Mariah, and Ronnie each have less than $1.00 to spend at the snack
bar. Altogether they have $3.26, all in coins, including 7 quarters, 1
penny, and the same number of dimes as nickels. Each person has 7 coins.
They each have a different number of dimes.
·
Jordy has more dimes but fewer quarters than anyone else.
· Ronnie has the most money, and Jordy has the least.
· Mariah is the only one who has a penny.
· Ronnie has the same number of nickels as Jordy, and Carmen has
the same number as Mariah.
· Ronnie has the same number of nickels as quarters, but more dimes
than nickels.
What
combination of coins, and how much money, does each person have?
        
 
17.
There
is a unique number of which the square and the cube together use all ciphers
from 0 up to 9 exactly once.
Which
number is this?
        
 
16.
On
a farm outside of Winchester is the world's most perfect peach tree. The
main trunk has exactly 24 branches, each branch exactly 12 boughs, each
bough exactly 6 twigs, and each twig bears 1 fruit. How many apples are
on the tree?
        
 
15.
Can
you make 10 plus 4 = 2 ?

          
14.
If
a side of Beef cost you £300
and a Lamb cost you £312
How much would you pay for a Pig ?
_
_ _ _ _ _ _ _ _ _ _
13.
1
 8  27  64  125  ?
What
is the next number?
_ _ _ _ _ _ _ _ _ _ _
12.
What
are the missing numbers?
        
    
11.
A
laborer can dig a hole 8 feet square and 8 feet deep in 8 days.
How long will it take him to dig a hole 4 feet square and 4 feet deep

            
10.
Your
friend has a dollar bill and needs change for the vending machine.
In your pocket, you have 7 pennies, 5 nickels, 8 dimes, and 3 quarters.
How many different ways can you make change for a dollar?
            
9.
a)
If x5=36 then x+7= what? 48
b)
The amount of water flowing into a tank doubles every minute.
The tank is full in an hour.
When
was the tank half full?
            
8.
12
members were present at a board meeting.
Each member shook hands with all of the other members
before & after the meeting.
How many hand shakes were there?
            
7.
A
clock loses 10 minutes each hour.
If the clock is set correctly at noon,
what
time is it when it reads 3 PM?
     

6.
I
am a three digit number.
My tens digit is five more than my ones digit.
My hundreds digit is eight less than my tens digit.
What
number am I?

5.
HOW MANY SQUARES ARE THERE??

4.
If
8 crows can steal 8 buttons in 8 minutes, how many buttons can 16 crows
steal in 16 minutes?

3.
Four
members of a band are walking to a night concert. They decide to take
a shortcut, but must cross a bridge. Luckily they have one flashlight.
Because of the varying size of their instruments, it takes each member
a different amount of time to cross the bridge  it takes the first person
one minute, the second person two minutes, the third person five minutes
and the fourth person ten minutes. They must cross the bridge in pairs,
travelling at the slower speed so if the one minute person went with the
ten minute person, it would take a total of ten minutes. Since there is
only one flashlight, one person must come back across the bridge, then
another pair can cross. They only have 17 minutes to cross the bridge
and still get to the concert on time.
What
order should they cross to get everyone across and get to the concert?
Quicky:
How many times can you subtract 2 from the number 21?

2.
What
is the largest number you can write
with just 3 digits?

1.
Use
the digits 1, 2, 3, 4, 5 and 6 once only,
in this multiplication sum to make it correct.
? ?
x ?

? ? ?

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[
ANSWERS]
58
February
'07
Your pockets are tearing from the weight
of all the coins in them. After you unload them onto the kitchen table,
you discover something surprising. You have exactly the same number of
pennies, nickels, dimes, and quarters, totaling $6.15. How many of each
coin do you have?
You
have fifteen of each coin.

         
57
November
'06
a) How many bits in
a nibble
b) How many seconds in a jiffy
c) How many Smidgeons in a Skosh
d) How many Square Rods in a Rood
a) 4 bits = 1 nibble
b) 3.3357x1011 seconds = 1 Jiffy
c) 4 Smidgeons = 1 Skosh
(1
skosh = 4 smidgeons, 1 smidgeon = 2 tads, 1 tad = just a mite)
d) 40 Square Rods = 1 Rood
(1 rood = 40 square
rods = 1/4 acre)

         
56
October
'06
5 + 5 + 5 = 550
this is an untrue statement there are 3 ways to make it true by adding
only one line.
1. Add a slash in
the middle of the = sign
2. Add a diagonal
line on to the top line of the = sign to make a greater than sign.
3. Add a line onto
the first + sign to make it a 4 , so it would look like this ; 545+5=550

         
55
September '06
If 8 crows can steal 8 buttons in 8 minutes,
how many buttons can 16 crows steal in 16 minutes?
32
buttons.

         
54
August '06
Unluckily,
last week I lost my measuring tape. It was unlucky as I had to measure
Daniel's toy box. Luckily though I could remember that the top had an
area of 720 square inches, the side was 800 square inches and the end
was 360 square inches. What were the true dimensions of the toy box?
Width=40,
height=20, depth=18.

         
53
July '06
The ages of a father and son add up to 66.
The father's age is the son's age reversed.
How old could they be?
(3 possible solutions)
42 and 24.
51
and 15.
60 and 06.

         
52
June '06
If
2 miles of fence enclose a square plot of 160 acres,
how large a square will 4 miles of fence enclose?
640 acres or 1 square mile.

         
51
May '06
Can you make 10 plus 4 = 2 ?
10
o'clock + 4 hours = 2 o'clock.

         
50
April
'06
2[3(7+5)]=2[3*12] is an example of what property
Substitution
Property

         
49
March
'06
1011 in binary is what in base ten?
11

         
48
February '06
A domino is exactly the same size as two squares
of a standard 8x8 chessboard. 32 dominoes can be arranged to tile the
chessboard with no gaps or overlaps. If two diagonally opposite corner
squares are removed, is it possible to tile the remaining 62 squares with
31 dominoes?
No.
A domino must cover one black and one white square, and on the mutilated
chess board there are 32 black squares and 30 white squares (or vice versa).


        
47
January '06
·
1 inch = 3 barley corns
·
1 vara = 33 1/3 inches (official measurement of land in Texas)
· 1 hogshead = 2 barrels, or 63 gallons (consistantly?)
· 1 cord (firewood) = 4 feet x 4 feet x 8 feet (for accurate measurement,
firewood should be stacked loose enough that a squirrel can run thru the
woodpile
·
1 section = 1 mile x 1 mile = 640 acres
·
1 township = 6 miles x 6 miles (standard size for states admitted to the
U.S. after President Jefferson put some order to things (starting with
Ohio), but may vary depending on natural borders, larger political borders,
and adjustments for narrowing of longitudinal lines as you go north)

         
46
December
2005
Can you replace the question marks
with maths symbols (+/x)
and make the equation correct:
(9 ? 1) ? (7 ? 6) ? (8 ? 4) = 3
(9
 1)  (7  6)  (8  4) = 3

         
45
November
In the local wood there are a number of trees.
On these trees there are a number of birds.
The local game keeper knows that there are as many birds on each tree
as there are trees in the wood. He also knows that there are between 2000
and 2100 birds in total.
How many trees are there in the wood?
45 trees: this means that there are
2025 birds as each tree has 45 birds.

         
44
October
How many Monkeys equal
2 Archers less 20 Ponies?
They
are all UK slang terms for sums of money
Archer = £2000,
based on the (alleged) amount Lord Jeffery Archer is alleged to have paid
prostitute Monica Coghlan,
Monkey = £500
Pony = £25
So the answer is 7 Monkeys (7x500 = 3500)
equals two Archers (2x2000 = 4000) less 20 ponies (20 x 25 = 500)

         
43
111,111,111 x 111,111,111 =
12,345,678,987,654,321
quite
amazing!
          
42
A
frog is at the bottom of a well 10 feet deep. He can jump 3 feet, but
every time he jumps 3 feet, he falls back 2 feet. How many jumps will
he have to make to get out of the well?
8

         
41
How many cubic
feet of dirt are in a hole
of one foot deep, three feet long, and two feet wide?
NONE
holes are empty

         
40
In each
group each of the letters A through H has one of the eight values listed.
No two letters have the same value. The simple arithmetic problems are
clues for determining the values of each letter.
The three groups are independent.
Group 1
2,5,6,8,10,13,15,21
H+D=G
EC=D
H+G=A
F+H=C
EF=G
B+E=A
Group 2
3,4,5,9,12,13,17,22
CA=B
H+D=A
D+F=G
FA=E
CD=G
Group 3
4,5,6,10,11,14,15,20
BG=H
A+E=C
FC=H
DB=A
A+H=G
E+F=D
Answer
1. A=21, B=6, C=10, D=5, E=15, F=2, G=13, H=8
2. A=9, B=13, C=22, D=5, E=3, F=12, G=17, H=4
3. A=6, B=14, C=11, D=20, E=5, F=15, G=10, H=4

         
39
In
the Art Gallery is a new conceptual art piece. The artist created a huge
pile different paintings;periodically he picks up one of the paintings
and hangs it on the wall, and adjusts it.
At 11:00, the painting titled "Number 30" was hung.
At 4:00, the painting titled "Number 240" was hung.
At 7:30, the painting titled "Number 315" was hung.
What painting will the artist hang on the wall at 9:20?
The
answer is "Number 200". It is the angle between the hour hand
and the minute hand at those respective times.

     
38
A
ship is twice as old as the ship's boiler was
when the ship was as old as the boiler is.
What is the ratio of the boiler's age to the ship's age?
3/4

     
37
Using
eight eights and addition only,
can you make 1000?
888
+ 88 + 8 + 8 + 8 = 1000.

     
36
Can
you take four 7's and arrange them
with any math symbols needed to make the total be 100?
Answer
77/.77 = 100
       
35
A
large fresh water reservoir has two types of drainage system. Small pipes
and large pipes. 6 large pipes, on their own, can drain the reservoir
in 12 hours. 6 small pipes, on their own, can drain the reservoir in 18
hours. How long will 6 large pipes and 6 small pipes take to drain the
reservoir?
7
hours and 12 minutes. The exact size of the pipes and reservoir does not
matter. If we label the large pipes L, the small pipes S and if the reservior
has a total of T litres, then:
T
/ 6L = 12 which means L = T / 72
and
T
/ 6S = 18 which means S = T / 108
we
want
T
/ (6L + 6S) = T / ((6 x T / 72) + (6 * T / 108)) = 7.2 hours = 7 hours
and 12 minutes.

      
34
Kansas City and St. Louis are 240 miles apart. Train "A" leaves
Kansas City travelling towards St. Louis at 60 mph; Train "B"
leaves St. Louis at the same time, travelling towards Kansas City at 40
mph. Which train will be farther from St. Louis when they meet?
When
they meet, they are the same distance from St. Louis.
       
33
A
four digit number (not beginning with 0) can be represented by ABCD.
There is one number such that ABCD=A^B*C^D, where A^B means A raised to
the B power. Can you find it?
The
only number is 2592. 2^5 is 32 and 9^2 is 81. 32*81 is 2592.

   
32
Kevin
and Smith are in charge of counting people who get on and off the lift.
They take turns riding to the top floor and back down, counting as they
go. After two such trips each morning and two in the evening, there is
an average taken.
The hotel manager wants to know the days average.
1. On
Smith's noon trip there were 32 fewer people than in his morning count.
2. Kevin counted a total of 122 in the morning and noon counts, just one
higher than his evening count, but 24 more than Smith's Evening count.
3. Kevin's morning count is the same as Smith's average.
4. Kevin's evening count was 37 more than Smith's morning count.
Morning
~ Noon ~ Evening ~ Total ~ Ave
Kevin: 78 ~ 44 ~ 121 ~ 243 ~ 81
Smith: 84 ~ 52 ~ 98 ~ 234 ~ 78

     
31
What number divided by 4 is the same
as that number minus 4?
5
1/3

     
30
FOUR is HALF of FIVE.
Is this statement True or False?
It's
True.
The Roman Numeral FOUR (IV)
is in the middle of the word Five: F(IV)E
      
29
How many Boxes measuring
1m x 1m x 50cm
can be packed into a container measuring
6m x 5m x 4m
240
1
x 1 x 0.5 = 0.5 cubic metres
6 x 5 x 4 = 120 cubic metres
120/0.5 = 240
      
28
How
many oneinch cubes
will it take to make a cubic foot?
1,728.
      
27
Use
four 9's in a math equation that equals 100.
      
26
After
teaching a class all about roman numerals
(VIII = 8, IX = 9, X = 10 and so on)
the teacher asked his class to draw a single continuous line and make
IX = 6.
The only stipulation the teacher made was that the pen could not be lifted
from the paper until the line was complete.
Draw an S in front of the IX and it spells SIX.
 
    
25
A man was asked what price
per 100 he paid for some apples.
His
reply was as follows:
"If they had been 4 cents more per 100 I should have got five less
for $1.20."
Can you say what the price was per 100?
The
Apples cost 96 cents per 100.
         
24.
In addition shown below, each
of the letters A, B, C, D, and E represents one of the ciphers from 1
up to 5 (equal letters represent equal ciphers and different letters represent
different ciphers). The
first and last ciphers of the sum are given.
A
B C D E
D A B E C
E A A B C
A C D A E
 +
9 C B A 0
The
complete addition looks as follows
(A=2, B=5, C=4, D=3, E=1):
2
5 4 3 1
3 2 5 1 4
1 1 2 5 4
2 4 3 2 1
 +
9 4 5 2 0
              
23.
Working
at the stables there are a number of lads
and lasses looking after the horses. In all there are 22
heads and 72 feet, including all the lads, lasses & horses.
If
all the lads, lasses & all the horses are sound of body
and limb, how many humans and how many horses
are there in the stables?
14
Horses and 8 Stable Hands
14
x 4 = 56
8 x 2 = 16
22 heads 72 feet.
          
22.
Sue, Les
And John share out a certain sum of money between them.
Sue
gets 3 fifths, Les gets 0.35 and John gets £90.00
How
much is the original sum of money?
£1800.00
        
 
21.
On
your Calculator can only use the
7, 8, 9 and the +  x = buttons
What's the fastest way to make thes numbers appear on your screen?
5 . 25 . 50 . 100
a)
7 + 7  9 = 5
b)
8 + 8 + 9 = 25
c)
7 x 7 + 9  8 = 50
d)
99 + 8  7
= 100
        
 
20.
Put
three + signs and one  sign in the below numbers
to make the sum work
9 8 7 6 5 4 3 2 1 = 100
98
 76 + 54 + 3 + 21 = 100

         
19.
7997 is
a palindromic number (same forwards as it is backwards)
If
you count upwards from 7997 what is the next palindrome you get?
Try it with 41314 and with 99999
8008
41414
100001

         
18.
Carmen,
Jordy, Mariah, and Ronnie each have less than $1.00 to spend at the snack
bar. Altogether they have $3.26, all in coins, including 7 quarters, 1
penny, and the same number of dimes as nickels. Each person has 7 coins.
They each have a different number of dimes.
·
Jordy has more dimes but fewer quarters than anyone else.
· Ronnie has the most money, and Jordy has the least.
· Mariah is the only one who has a penny.
· Ronnie has the same number of nickels as Jordy, and Carmen has
the same number as Mariah.
· Ronnie has the same number of nickels as quarters, but more dimes
than nickels.
What
combination of coins, and how much money, does each person have?
Carmen has 2 quarters, 2 dimes, and 3 nickels,
totaling 85 cents.
Jordy has 1 quarter, 4 dimes, and 2 nickels, totaling 75 cents.
Mariah has 2 quarters, 1 dime, 3 nickels, and 1 penny, totaling 76 cents.
Ronnie has 2 quarters, 3 dimes, and 2 nickels for a total of 90 cents.
        
 
17.
There
is a unique number of which the square and the cube together use all ciphers
from 0 up to 9 exactly once.
Which
number is this?
The number is 69: 692 = 4761 and 693 =
328509.
        
 
16.
On
a farm outside of Winchester is the world's most perfect peach tree. The
main trunk has exactly 24 branches, each branch exactly 12 boughs, each
bough exactly 6 twigs, and each twig bears 1 fruit. How many apples are
on the tree?
None.
It's a peach tree, so it doesn't bear apples.
         
15.
Can
you make 10 plus 4 = 2 ?
10 o'clock + 4 hours = 2 o'clock. (MOD 12)
        
14.
If
a side of Beef cost you £300
and a Lamb cost you £312
How much would you pay for a Pig ?
the
Pig would cost £1697
B
= 2, E = 5, F = 6
Beef
= 2.5.5.6
2
x 5 x 5 x 6 = 300
_ _ _ _ _ _ _ _ _ _ _
13.
1
 8  27  64  125  ?
What is the next number?
216
(
cubes of 1  6 )
_ _ _ _ _ _ _ _ _ _ _
12.
In
the row above space add two numbers next to each other.
Place the sum directly under the second of the two numbers
you added. The missing numbers, reading across rows,
are: 16, 20, 33, 17, 54, 81, 112.
7+9 = 16, 8+12 = 20,
13+20 = 33 etc.

            
11.
A
laborer can dig a hole 8 feet square and 8 feet deep in 8 days.
How long will it take him to dig a hole 4 feet square and 4 feet deep
1
day.
It is 1/8 the size of the large hole
     
       
10.
Your
friend has a dollar bill and needs change for the vending machine.
In your pocket, you have 7 pennies, 5 nickels, 8 dimes, and 3 quarters.
How many different ways can you make change for a dollar?
There
are twentyone different ways you can make change for a dollar with 7
pennies, 5 nickels, 8 dimes, and 3 quarters:
1.
3 quarters + 2 dimes + 1 nickel + 0 pennies
2. 3 quarters + 2 dimes + 0 nickels + 5 pennies
3. 3 quarters + 1 dime + 3 nickels + 0 pennies
4. 3 quarters + 1 dime + 2 nickels + 5 pennies
5. 3 quarters + 0 dimes + 5 nickels + 0 pennies
6. 3 quarters + 0 dimes + 4 nickels + 5 pennies
7. 2 quarters + 5 dimes + 0 nickels + 0 pennies
8. 2 quarters + 4 dimes + 2 nickels + 0 pennies
9. 2 quarters + 4 dimes + 1 nickel + 5 pennies
10. 2 quarters + 3 dimes + 4 nickels + 0
pennies
11. 2 quarters + 3 dimes + 3 nickels + 5
pennies
12. 2 quarters + 2 dimes + 5 nickels + 5
pennies
13. 1 quarter + 7 dimes + 1 nickel + 0 pennies
14. 1 quarter + 7 dimes + 0 nickels + 5 pennies
15. 1 quarter + 6 dimes + 3 nickels + 0 pennies
16. 1 quarter + 6 dimes + 2 nickels + 5 pennies
17. 1 quarter + 5 dimes + 5 nickels + 0 pennies
18. 1 quarter + 5 dimes + 4 nickels + 5 pennies
19. 0 quarters + 8 dimes + 4 nickels + 0
pennies
20. 0 quarters + 8 dimes + 3 nickels + 5
pennies
21. 0 quarters + 7 dimes + 5 nickels + 5
pennies
        
   
9.
a)
If x5=36 then x+7= what?
b)
The amount of water flowing into a tank doubles every minute.
The tank is full in an hour. When was the tank half full?
a)
48
b)
59 minutes
        
   
8.
12
members were present at a board meeting.
Each member shook hands with all of the other members
before & after the meeting.
How many hand shakes were there?
132
Think of it
this way:
the first person shakes hands with 11 people,
the second person also shakes hands with 11 people,
but you may only have counted 10,
because the hand shake with the first person was already counted.
Then add 9 for the third person,
8 for the fourth, & so on.
66 hand shakes took place before & after the meeting,
for a total of 132.
            
7.
A
clock loses 10 minutes each hour.
If the clock is set correctly at noon,
what time is it when it reads 3 PM?
3:36
PM.
The clock loses 10 minutes each hour,
so it loses 5 minutes every halfhour,
and it loses 1 minute very 6 minutes.
It is 12:50 PM at 1:00 o'clock.
It is 1:40 PM at 2:00 o'clock.
It is 2:30 PM at 3:00 o'clock.
It is 2:55 PM at 3:30 o'clock.
It is 3:00 PM at 3:36 o'clock.
            
6.
I
am a three digit number.
My tens digit is five more than my ones digit.
My hundreds digit is eight less than my tens digit.
What number am I?
Answer
Number 194.

5.
HOW MANY SQUARES ARE THERE?
. .
.
Square Size 10x10 . . . .1 No of Squares
9x9 . . . . 4
8x8 . . . . 9
7x7 . . . 16
6x6 . . . 25
5x5 . . . 36
4x4 . . . 49
3x3 . . . 64
2x2 . . . 81
1x1 . . .100
Total = 385

4.
If
8 crows can steal 8 buttons in 8 minutes,
how many buttons can 16 crows steal in 16 minutes?
32 buttons.

3.
Four
members of a band are walking to a night concert. They decide to take
a shortcut, but must cross a bridge. Luckily they have one flashlight.
Because of the varying size of their instruments, it takes each member
a different amount of time to cross the bridge  it takes the first person
one minute, the second person two minutes, the third person five minutes
and the fourth person ten minutes. They must cross the bridge in pairs,
travelling at the slower speed so if the one minute person went with the
ten minute person, it would take a total of ten minutes. Since there is
only one flashlight, one person must come back across the bridge, then
another pair can cross. They only have 17 minutes to cross the bridge
and still get to the concert on time.
What
order should they cross to get everyone across and get to the concert?
First,
the one minute person and the two minute person must cross the bridge,
for a total of two minutes. Then the one minute person should come back
with flashlight  total of three minutes. The five minute person and the
ten minute person cross together next, making the total thirteen minutes.
Now the two minute person goes back and (total now fifteen minutes) and
gets the one minute person and they cross together bringing the total
to seventeen minutes.
Quicky:
How many times can you subtract 2 from the number 21?
... Once. After that, you are subtracting from 19,
17, ...

2.
What
is the largest number you can write
with just 3 digits?
Well
999 is the logical answer  incorrect though, we can go bigger.
Did you get the "power"
brainwave and think of 99^9 (99 to the power of 9), which calculates out
as 99*99*99*99*99*99*99*99*99.
Even better is 9^99
(9 to the power of 99) which calculates out as 9*9*9*9*9*9*9 ... and so
on 99 times.
The correct answer,
however, if you extend the idea even further ends up as... 9^9^9 (9 to
the 9th power of 9).
Work out the second
and third powers first (9*9*9*9*9*9*9*9*9 = 387420489.) We can therefore
restate the sum as
9^387420489 which works out as.... very very big indeed.
Note  I am showing
this symbol ^ for powers but when handwritten the power numbers are written
above and to the right of the first number, My ^ is for this write up
only.

1.
Use
the digits 1, 2, 3, 4, 5 and 6 once only, in this multiplication sum to
make it correct.
? ?
x ?

? ? ?
5
4
x 3

162
