Answer any or all of the questions below. Please write your answer(s) on a piece of paper with your name and form class and put in the box outside the staffroom by 4pm each day.
All correct entries will be put in the draw for a daily prize. Each question is worth different points (see below). Your total will be tallied at the end of the week and prizes will be awarded to the highest totals for each age group. |

## fridays questions:

1. What comes next in this sequence ... O, T, T, F, F ....? S, S, E, N, T six, seven, eight ...

2. "When I add 4 times my age 4 years from now to 5 times my age 5 years from now, I get 10 times my current age. How old will I be 5 years from now?" 46 years

3. You are on holidays and wake up in the morning, stand up, and look South. You look to the left and find you are still looking South. You look to the right and find you are still looking South! Suddenly you see a bear. What color is it? White

2. "When I add 4 times my age 4 years from now to 5 times my age 5 years from now, I get 10 times my current age. How old will I be 5 years from now?" 46 years

3. You are on holidays and wake up in the morning, stand up, and look South. You look to the left and find you are still looking South. You look to the right and find you are still looking South! Suddenly you see a bear. What color is it? White

## Thursdays questions:

1. What does HCF stand for? Highest Common Factor

2. A plane takes off and increases its height at a rate of 200m per minute. Another plane has already taken off and is 100m high. It increases its height at the rate of 100 metres every minute. When are the two planes the same height and how high are they? After 1 minute at 200m

3. A bathtub will empty at a constant rate in 15 minutes. With the plug in it will fill at a constant rate in 12 minutes. How long will it take to fill if the plug is removed and the tap is turned on? 60 minutes

2. A plane takes off and increases its height at a rate of 200m per minute. Another plane has already taken off and is 100m high. It increases its height at the rate of 100 metres every minute. When are the two planes the same height and how high are they? After 1 minute at 200m

3. A bathtub will empty at a constant rate in 15 minutes. With the plug in it will fill at a constant rate in 12 minutes. How long will it take to fill if the plug is removed and the tap is turned on? 60 minutes

## WEDNESDAYS QUESTIONS:

1. List the first 10 numbers in a Fibonacci sequence. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34

1. Six wolves catch six lambs in six minutes.

How many wolves will be needed to catch sixty lambs in sixty minutes? (Careful!) 6

2. Find a number with its letters in alphabetical order.

Example: "five" has "fiv" in alphabetical order, but not "e". forty

1. Six wolves catch six lambs in six minutes.

How many wolves will be needed to catch sixty lambs in sixty minutes? (Careful!) 6

2. Find a number with its letters in alphabetical order.

Example: "five" has "fiv" in alphabetical order, but not "e". forty

## TUesdays questions:

1. What is a googol? (1 point) 1 x 10^100

2. A clock strikes once at 1 o’clock, twice at 2 o’clock, thrice at 3 o’clock and so on. How many times will it strike in 24 hours? (Clock strikes once at 13:00 not 13 times) (3 points) 156

3. I need to cut the board into only two pieces to fit exactly in the hole - show the cut(s) to make this happen (5 points)

2. A clock strikes once at 1 o’clock, twice at 2 o’clock, thrice at 3 o’clock and so on. How many times will it strike in 24 hours? (Clock strikes once at 13:00 not 13 times) (3 points) 156

3. I need to cut the board into only two pieces to fit exactly in the hole - show the cut(s) to make this happen (5 points)

## Mondays questions:

1. What is a prime number and how many prime numbers are there between 100 and 200? (1 point) A number with only two factors (one and itself) and there are 21 between 100 and 200

2. According to the traditional song, on the first day of Christmas (25th December), my true love sent to me:

. A partridge in a pear tree

On the second day of Christmas (26th December), my true love sent to me THREE presents:

. Two turtle doves

. A partridge in a pear tree

This carries on until the the twelfth day of Christmas, when my true love sends me:

Twelve drummers drumming

Eleven pipers piping

Ten lords a-leaping

Nine ladies dancing

Eight maids a-milking

Seven swans a-swimming

Six geese a-laying

Five gold rings

Four calling birds

Three French hens

Two turtle doves

A partridge in a pear tree

After the twelve days of Christmas are over, how many presents has my true love sent me altogether? (3 points) 364

3. Cannibals ambush a safari in the jungle and capture three men. The cannibals give the men a single chance to escape uneaten.

The captives are lined up in order of height, and are tied to stakes. The man in the rear can see the backs of his two friends, the man in the middle can see the back of the man in front, and the man in front cannot see anyone. The cannibals show the men five hats. Three of the hats are black and two of the hats are white.

Blindfolds are then placed over each man's eyes and a hat is placed on each man's head. The two hats left over are hidden. The blindfolds are then removed and it is said to the men that if one of them can guess what color hat he is wearing they can all leave unharmed.

The man in the rear who can see both of his friends' hats but not his own says, "I don't know". The middle man who can see the hat of the man in front, but not his own says, "I don't know". The front man who cannot see ANYBODY'S hat says "I know!"

How did he know the color of his hat and what color was it? (5 points) The man in front knew he was wearing a black hat because he knew the first man did not see two white hats and he knew that the second man did not see one white hat because if he saw a white hat, the second man would have known that his hat was black from hearing the first man's statement.

2. According to the traditional song, on the first day of Christmas (25th December), my true love sent to me:

. A partridge in a pear tree

On the second day of Christmas (26th December), my true love sent to me THREE presents:

. Two turtle doves

. A partridge in a pear tree

This carries on until the the twelfth day of Christmas, when my true love sends me:

Twelve drummers drumming

Eleven pipers piping

Ten lords a-leaping

Nine ladies dancing

Eight maids a-milking

Seven swans a-swimming

Six geese a-laying

Five gold rings

Four calling birds

Three French hens

Two turtle doves

A partridge in a pear tree

After the twelve days of Christmas are over, how many presents has my true love sent me altogether? (3 points) 364

3. Cannibals ambush a safari in the jungle and capture three men. The cannibals give the men a single chance to escape uneaten.

The captives are lined up in order of height, and are tied to stakes. The man in the rear can see the backs of his two friends, the man in the middle can see the back of the man in front, and the man in front cannot see anyone. The cannibals show the men five hats. Three of the hats are black and two of the hats are white.

Blindfolds are then placed over each man's eyes and a hat is placed on each man's head. The two hats left over are hidden. The blindfolds are then removed and it is said to the men that if one of them can guess what color hat he is wearing they can all leave unharmed.

The man in the rear who can see both of his friends' hats but not his own says, "I don't know". The middle man who can see the hat of the man in front, but not his own says, "I don't know". The front man who cannot see ANYBODY'S hat says "I know!"

How did he know the color of his hat and what color was it? (5 points) The man in front knew he was wearing a black hat because he knew the first man did not see two white hats and he knew that the second man did not see one white hat because if he saw a white hat, the second man would have known that his hat was black from hearing the first man's statement.