## What number am I? – Prime numbers and perfect squares

Math Teaser I am a perfect square. My square root is a prime number, less than 100, and the digits of the square root add up to a perfect square. My own digits add up to a prime number.

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## Reverse Calculation

Math Teaser! A number is divided by five. The result is divided by three, for a ﬁnal result of two. What was the original number?

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## Rectangle

Math Teaser! If a rectangle has an area of 192 square meters, and the length is three times longer than its width, what are the length and width?

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## Steps in a mile

If I were to start a new exercise program where I double my previous day’s steps each new day, on which day of the program will I first walk a full mile? I will start with 1 step on Day 1 and all of my steps are 2 feet long. Bonus: On that day, how many steps beyond a mile […]

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## 25 Cent Coin Combinations

Math Teaser How any combinations of US coins are there that add up to 25 cents?

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## A Sequence

Math Teaser! If the first five terms of a sequence are 0, 2, 8, 18, 32 what would be the value of the tenth term?

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## Equation Generation 3

Math Teaser Using the numbers 2,3,4,5,6, and 8 find two 3 digit numbers that add up to 1000. (There is more than one correct answer!)

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## Equation Generation 2

Math Teaser Using the numbers 8,8,6,7, and 3 create an equation that equals 1.

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## What Number am I? – Square, cube, prime digits

Math Teaser I am a 3 digit number whose product of my digits is equal to 144. Of my 3 digits, one is a cube, one is a square, and one is a prime. If the six numbers that meet these criteria are listed in increasing order, I am fifth in the list.

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## What Number am I? – Combination of digits

Math Teaser I am 3 digits. My digits add up to 10. The product of my digits is 20. I am an odd number. The digit in the hundreds place plus the digit in the tens place equals the digit in the ones place. The smallest digit is in the middle.

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## Football Score

In football, how many possible scoring combinations are there that would result in a team having 10 points on the scoreboard? (Ignore defensive points on PAT attempts)

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## Equation Generation

Using the numbers 9, 7, 3, and 4 create an equation that equals 2.

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## Two Coins

I have two US coins that combine to total 35 cents. One is not a dime. What are the coins?

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## A Dice Combination Problem

If you have two 6-sided dice, numbered 1-6, how many dice combinations are there that do not include the number 5? Note that a 1 and 6 and a 6 and 1 with the two dice are counted as separate dice combinations.

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## Halloween Candy

Because of her cute princess costume, a little girl gets 30 more pieces of Halloween candy than her brother in a zombie ninja costume. If together they combine for 190 pieces of candy, how many pieces does the little girl have?

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## Date Night

A man leaves work at 5:00 and averages 30 mph on his 20 minute drive home.  The man is picking up his wife for date night, a 6:00 dinner reservation. If the restaurant is twice as far from home as his workplace and they will average 60 mph to the restaurant, how much time do they have after he arrives […]

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