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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.

- - - - - - - - - - -
5
5

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 make-up 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
E-C=D
H+G=A
F+H=C
E-F=G
B+E=A

Group 2
3,4,5,9,12,13,17,22
C-A=B
H+D=A
D+F=G
F-A=E
C-D=G

Group 3
4,5,6,10,11,14,15,20
B-G=H
A+E=C
F-C=H
D-B=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 one-inch 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 x-5=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.

Squares

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) 3.3357x10-11 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
E-C=D
H+G=A
F+H=C
E-F=G
B+E=A

Group 2
3,4,5,9,12,13,17,22
C-A=B
H+D=A
D+F=G
F-A=E
C-D=G

Group 3
4,5,6,10,11,14,15,20
B-G=H
A+E=C
F-C=H
D-B=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 one-inch 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.

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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.

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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.

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15.

Can you make 10 plus 4 = 2 ?

10 o'clock + 4 hours = 2 o'clock. (MOD 12)

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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

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13.

1 - 8 - 27 - 64 - 125 - ?
What is the next number?

216

( cubes of 1 - 6 )

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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.

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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
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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 twenty-one 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

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9.

a) If x-5=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

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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.

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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 half-hour,
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.

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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.

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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

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4.

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

32 buttons.
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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, ...

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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.

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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
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162


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