An Alternative To The Quiz Questions.

[liz]

After much deliberation I worked out that there are at least 138 ways of making up the word DUCK moving up, down and across but maybe that's not what's required.

[Kimmy]

5 ways.

But they don't tell you how.

How are you getting on with these? We all know you are to shy to post all the correct answers.

[Kimmy]

Dip your toe in the water and try this one at home.





Puzzle 52

The local river Trent is 4100 inches wide, which happens to be a fantastic number. There is a magnificent, perfectly straight, bridge which spans the river. During a recent survey of the area it was found that one seventh of the overall length of the bridge was on one side of the river and one eighth of the bridge was on the other side of the river. How long is the bridge which spans the river Trent?

[Kimmy]

Did you get it?

I did. But wait a minute I have the answer.


5600 inches: x/7 + x/8 + 4100 = x, where x is the length of the bridge.

[Kimmy]

Heres one to get your teeth into.


Puzzle 53

A kind old gentleman decided to give 12 sweets to each of the girls in his town and 8 sweets to each of the boys. Of the 612 children in his town, only half the girls and three quarters of the boys were allowed to take the sweets. How many sweets did the kind old gentleman have to buy?

[liz]

Looking at this later, please leave on.

[BC]

Have been occupied with other things... work, 50th birthday celebrations, work, did I say work? Maybe back to normal mid-week.

[liz]

53. Girls: 1836 sweets
Boys: 1824 sweets

[Kimmy]

3,672. Clue: choose a random number of girls and work it out.

[Kimmy]

Did you get the last one?

If not try this one.


Puzzle 55

Last week I painted a one-foot cube block of wood using red paint. Yesterday, I decided to cut this cube into smaller blocks, each 3 inches wide. How many of these smaller cubes had red paint on:

a) 4 of the sides?
b) 3 of the sides?
c) 2 of the sides?
d) 1 of the sides?
e) 0 of the sides?

[BC]

a) 4 of the sides? 0

b) 3 of the sides? 8

c) 2 of the sides? 24

d) 1 of the sides? 24

e) 0 of the sides? 8

Wadda ya think?

[Kimmy]

From a total of 64 blocks:
a) 0.
b) 8.
c) 24.
d) 24.
e) 8.

[Kimmy]

WARNING.

DON'T TRY THIS AT HOME.



Puzzle 56

As my birthday approaches I start to collect leaves - a little bizarre perhaps, but I enjoy it! On the first day of the month I collect one leaf, on the second day I collect two and so on. So by my birthday I will have collected 276 leaves altogether. On which day of the month is my birthday?

[BC]

Jan 21, 2010 20:17:19 GMT Kimmy said:

WARNING.

DON'T TRY THIS AT HOME.



Puzzle 56

As my birthday approaches I start to collect leaves - a little bizarre perhaps, but I enjoy it! On the first day of the month I collect one leaf, on the second day I collect two and so on. So by my birthday I will have collected 276 leaves altogether. On which day of the month is my birthday?

1st / collect 1 / cumulative 1
2/2/3
3/3/6
4/4/10
5/5/15
6/6/21
7/7/28
8/8/36
9/9/45
10/10/55
11/11/66
12/12/78
13/13/91
14/14/105
15/15/120
16/16/136
17/17/153
18/18/171
19/19/190
20/20/210
21/21/231
22/22/253
23/23/276

23rd

BC

[Kimmy]

On the 23rd. 276 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 + 21 + 22 + 23.

[Kimmy]

Something to help you all sleep out there. OR keep you awake.
I hope this doesn't push you over the edge.



Puzzle 58

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?

Pleasant dreams.

[BC]

Jan 21, 2010 23:10:22 GMT Kimmy said:

Something to help you all sleep out there. OR keep you awake.
I hope this doesn't push you over the edge.



Puzzle 58

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?

Pleasant dreams.

A x B = 720

B x C = 360

A x C = 800

That's where the maths ends and the guessing started!

One of my guesses was to work out A x C

If A = 40 and C = 20, then 40 x 20 = 800

Next, use 360 and divide it by C (20) gives us B as 18.

To see if the 40/20 is the right guess, divide 720 by 18. If it gives us 40, then it is:

720 / 18 = 40

So in summary, the dimentions are:

Length (A) = 40
Depth (B) = 18
Height (C) = 20

BC

[Kimmy]

Width=40, height=20, depth=18.

[Kimmy]

Get the birthday cake out.

Puzzle 59

James said that he was born on February 29, 1900. What birthday will he celebrate in the year 2000?

[liz]

59. 100

[BC]

Jan 23, 2010 19:02:07 GMT Kimmy said:

Get the birthday cake out.

Puzzle 59

James said that he was born on February 29, 1900. What birthday will he celebrate in the year 2000?

I think this is a naughty one Liz. Born on Feb 29th. So I think that devious Kimmy has taken out the non Leap Years.

Leap years between and including 1900 and 2000 are:

2000 1996 1992 1988 1984 1980 1976 1972 1968 1964
1960 1956 1952 1948 1946 1942 1938 1934 1930 1926
1922 1918 1914 1910 1906 1902

So he will celebrate his 26th birthday!

BC

[BC]

Jan 24, 2010 13:42:34 GMT BC said:

Jan 23, 2010 19:02:07 GMT Kimmy said:

Get the birthday cake out.

Puzzle 59

James said that he was born on February 29, 1900. What birthday will he celebrate in the year 2000?

I think this is a naughty one Liz. Born on Feb 29th. So I think that devious Kimmy has taken out the non Leap Years.

Leap years between and including 1900 and 2000 are:

2000 1996 1992 1988 1984 1980 1976 1972 1968 1964
1960 1956 1952 1948 1946 1942 1938 1934 1930 1926
1922 1918 1914 1910 1906 1902

So he will celebrate his 26th birthday!

BC

NO!!!

Scrub that!!!

1900 wasn't a leap year - there was no 29th Feb 1900 - so James is lying!!!!!!

[liz]

Oh yes, you're right BC. I jumped in there too quick.

[Kimmy]

James was lying, 1900 was not a leap year.

[Kimmy]

Now come on try this at home and in the office.

Puzzle 60

A man bought a bike for £20 and gave the bike dealer a cheque for £30 to pay for it. The bike dealer persuaded a shopkeeper to change the cheque for him and the buyer, having received his £10 change, rode off on the bike and was not seen again. Later, the cheque was found to be valueless and the bike dealer had to refund the shopkeeper the amount he had received. The bike dealer had bought the bike for £10. How much did the bike dealer lose altogether?

[BC]

Jan 25, 2010 11:02:49 GMT Kimmy said:

Now come on try this at home and in the office.

Puzzle 60

A man bought a bike for £20 and gave the bike dealer a cheque for £30 to pay for it. The bike dealer persuaded a shopkeeper to change the cheque for him and the buyer, having received his £10 change, rode off on the bike and was not seen again. Later, the cheque was found to be valueless and the bike dealer had to refund the shopkeeper the amount he had received. The bike dealer had bought the bike for £10. How much did the bike dealer lose altogether?

He pays out £10 for the bike (balance -£10)

He gets £30 from the shopkeeper (balance +£20)

He give the conman £10 (balance +10)

He refunds the shopkeeper £30 (balance -£20)

So I think the answer is -£20

However, he had an asset worth £20, (the sale price), which if taken into consideration makes -£40.

I expect both answers are wrong anyway. Just have a feeling I've missed something, and no time to dwell.

BC

[Kimmy]

£20. £10 as change for the cheque and £10 for the bike originally.


How did you get on out there?

[Kimmy]

Have a go at this at home or in the office or where ever you are.



Puzzle 61

Using a tap, a three gallon container and a five gallon container, can you measure exactly 4 gallons, you may empty the containers down the drain?

[liz]

61.

Fill 3 gallon container, empty into 5 gallon.
Fill 3 gallon again and add to 5 gallon which will leave 1 gallon in the 3 gallon container.
Empty the 5 gallon container then add the 1 gallon remaining in the 3 gallon.
Fill the 3 gallon and empty into the 5 gallon container making 4 gallons.

[Kimmy]

Here are the contents of the container after each stage:


A(3) B(5)
0 5 fill B
3 2 fill A from B
0 2 empty A
2 0 fill A from B
2 5 fill B
3 4 fill A from B
0 4 empty A

The now leaves 4 gallons in container B.