1 2 3 4 5 6 7 8 9 = 100

This equation is incomplete: 1 2 3 4 5 6 7 8 9 = 100

One way to make it accurate is by adding seven plus and minus signs, like so.

1 + 2 + 3 – 4 + 5 + 6 + 78 + 9 = 100

How can you do it using only 3 plus or minus signs?

123 – 45 – 67 + 89 = 100

Posted in Brain Teasers

Largest Product

Using all the digits from 1 to 7, what two numbers have the largest product? For example, 1234 x 567 = 699678 but you can do much better than that.

742 x 6531 = 4,846,002.

A similar problem can be found in L.A. Graham’s Ingenious Mathematical Problems and Methods with a range of 1 to 9, but the principle remains the same – the numbers with the smallest difference produce the largest product. You start out with the highest two digits, 7 and 6, then attach 5 and 4, putting the smaller of the two digits with the larger number, giving you 74 and 65. The next two highest digits are 3 and 2, giving you 742 and 653. Finally, you add the 1 to the lower number. Page 80 has the details of that solution.

Posted in Brain Teasers

Split Itself

What can split itself
before splitting something else?

Lightning. It looks like it’s splitting apart in the sky, and trees are split in half when struck by lightning.

By Sef Daystrom

Posted in Riddles

Look In My Face

Look in my face and I am someone,
Look in my back I am no one.

What am I?

A mirror. The face of a mirror shows your face, but the back of a mirror shows nothing but dust and cardboard (depending on the type of mirror).

Posted in Riddles
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What’s Nowhere But Everywhere

What’s nowhere but everywhere except where something is?

Nothing. (From Gotham)

Posted in Riddles

Asleep, Parts, Ideals Trianagrams

Rearrange the letters of the first word to form a new one, then rearrange the letters of the new word to form a third.

ASLEEP _ _ _ _ _ _ _ _ _ _ _ _
PARTS _ _ _ _ _ _ _ _ _ _
IDEALS _ _ _ _ _ _ _ _ _ _ _ _

1. ASLEEP, PLEASE, ELAPSE
2. PARTS, TRAPS, STRAP (TARPS or SPRAT also work)
3. IDEALS, SAILED, LADIES

Posted in Brain Teasers

The Man in the Picture

A man is looking at a picture on the wall and says, “Brothers and sisters I have none, but this man’s father is my father’s son.”

What is their relationship?

The man in the picture is the onlooker’s son. Since he doesn’t have any brothers or sisters, the statement my father’s son can only be himself. A shortened version would be this man’s father is me, making him the father of the man in the picture.

Posted in Brain Teasers

The Boat at High Tide

A boat has a ladder that has six rungs. Each rung is one foot apart. The bottom rung is one foot from the water. The tide rises at 12 inches every 15 minutes. High tide peaks in one hour.

When the tide is at its highest, how many rungs are under water?

None. The boat is floating on the water, so as the tide rises, so does the ladder.

Posted in Brain Teasers

3661 Seconds Past Midnight

What is special about 3,661 seconds past midnight on January 1, 2001?

At the 3,661st second, the time and date can be written 01:01:01 01/01/01.

That is one cool date :)

Posted in Brain Teasers

Rhonda At the Ballet

Rhonda will go see ballet but not the opera. Her favorite number is eight and she doesn’t like nine. She likes salmon but not trout. She hates Mondays and likes Wednesdays. Does she use a comb or a brush?

A comb. Rhonda likes words with silent letters, like her name.

Posted in Brain Teasers