Wily Winifred and the Case of the Odd Numbers

Mrs. Shine was having a rough day and wanted a break. So she asked her class to calculate the sum of the first 50 odd numbers. In a few moments, Winifred was at her desk with the correct answer of 2,500. Stunned, Mrs. Shine figured she must have gotten lucky, and sent precocious Winifred back to her seat with the task of finding the sum of the first 75 odd numbers. Again, Winifred returned in seconds with the correct answer (5,625).

How did Winifred find the answer so quickly?

Winifred, being the precocious child she is, realized there was a pattern when computing smaller sums of odd numbers.

First 3: 1 + 3 + 5 = 9
First 4: 1 + 3 + 5 + 7 = 16
First 5: 1 + 3 + 5 + 7 + 9 = 25

Do you see the pattern like our dear friend Winnie?

For the first n odd numbers, the sum is equal to n2. Thus the first 50 is 502, or 2,500, and the first 75 is 752, or 5,625.

Posted in Brain Teasers

I Appear In The Morning But Am Always There

I appear in the morning but am always there.
You can never see me though I am everywhere.
By night I am gone, though I sometimes never was.
Nothing can defeat me but I am easily gone.

What am I?

Sunlight.

Posted in Riddles

Loses Its Head Every Morning

What loses its head every morning only to get it back every night?

A pillow.

Posted in Riddles

Two Bodies Joined in One

Two bodies have I, though both joined in one,
The more I stand still the faster I run.

What am I?

An hourglass.

Posted in Riddles

Feared By Most But Experienced By All

I am a five-letter word and am feared by most but experienced by all. If you remove my first and last letters I bring life. If you add an ‘r’ between the third and fourth letters I am almost nothing and if you remove the first letter from this new word, I am your home.

What am I?

Death (eat, dearth, earth). No one can escape death, but many fear it. Removing the first and last letters leaves eat, and we must eat to stay alive. Adding the ‘r’ turns death into dearth, which is scarcity and removing the first letter of dearth leaves earth, where you live, assuming this riddle hasn’t reached extraterrestrials.

Posted in Riddles

The Case of Wesley and the Broken Window

Wesley’s mom discovered a broken window in the living room and went to ask Wesley about it. Wesley told her he had been playing Monopoly with his friend Cindy. She asked him what his last roll had been and he said, “A one”. She immediately knew he was lying.

How?

Monopoly has two dice, and the lowest number two dice can roll is 2. The window repair came out of Wesley’s allowance and he stopped throwing his baseball in the house.

Posted in Brain Teasers

Turns Everything Around

What turns everything around but doesn’t move?

A mirror.

Posted in Riddles

From Cold To Warm In Four Steps

How do you get from cold to warm in four steps, changing only one letter at a time to form a new word at each step?

cold
cord
word
worm
warm

An alternative is:
cold
cord
word
ward
warm

Yet another option, thanks to Beth:
cold
cord
card
ward
warm

Posted in Brain Teasers

Soft And Fragile Is My Skin

Soft and fragile is my skin
I get my growth in mud
I’m dangerous as much as pretty
For if not careful, I draw blood.

A thorn.

Posted in Riddles

A Duck

There are two ducks in front of a duck, two ducks behind a duck and a duck in the middle. How many ducks are there in total?

Three. They’re all in a row, so ducks 1 and 2 are in front of duck 3, ducks 2 and 3 are behind duck 1 and duck 2 is in the middle.

Posted in Brain Teasers