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. [doptoggle title=”Click Here to see the Solution!!!” icon=5 activeicon=6] To solve this, we need to first determine what the options for […]
» Read moreMath Teaser! A number is divided by five. The result is divided by three, for a final result of two. What was the original number? [doptoggle title=”Click Here to see the Solution!!!” icon=5 activeicon=6] To find the answer we simply do the opposite calculations in the reverse order. We start with 2. If a number was divided by 3 to […]
» Read moreMath 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? [doptoggle title=”Click Here to see the Solution!!!” icon=5 activeicon=6] The area of a rectangle is found by multiplying the length by the width. (l x w) If we call the width x, […]
» Read moreIf 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 […]
» Read moreMath Teaser How any combinations of US coins are there that add up to 25 cents? [doptoggle title=”Click Here to see the Solution!!!” icon=5 activeicon=6] There are 12 possible coin combinations of the penny, nickel, dime, and quarter that add up to 25 cents. These coin combinations are easier to count if you realize that you will not be able […]
» Read moreMath Teaser! If the first five terms of a sequence are 0, 2, 8, 18, 32 what would be the value of the tenth term? [doptoggle title=”Click Here to see the Solution!!!” icon=5 activeicon=6] Start by looking at how each term in the sequence is related to the others. Since the terms grow bigger and bigger by an increasing margin […]
» Read moreMath 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!) [doptoggle title=”Click Here to see the Solution!!!” icon=5 activeicon=6] Again, there are several solutions to this one, and below are a few – there may be others… 562 + 438 = 1000 462 + 538 […]
» Read moreMath Teaser Using the numbers 8,8,6,7, and 3 create an equation that equals 1. [doptoggle title=”Click Here to see the Solution!!!” icon=5 activeicon=6] There are several solutions, and below are only a few – the trick is to make sure the Order of Operations is correct. 3 – (8/8) – (7 – 6) = 1 (((6/3) x 8) – 8) […]
» Read moreMath 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. [doptoggle title=”Click Here to see the Solution!!!” […]
» Read moreMath 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. [doptoggle title=”Click Here to see the Solution!!!” icon=5 activeicon=6] […]
» Read moreIn 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) [doptoggle title=”Click Here to see the Solution!!!” icon=5 activeicon=6] The possible scores to consider are a safety (2 points), a field goal (3 points), a touchdown with no extra-point/PAT or two-point conversion (6 […]
» Read moreUsing the numbers 9, 7, 3, and 4 create an equation that equals 2. [doptoggle title=”Click Here to see the Solution!!!” icon=5 activeicon=6] There are several solutions, and below are only a few – the trick is to make sure the Order of Operations is correct. (9 – 7)/(4 – 3) = 2 (9 – 3)/(7 – 4) = 2 […]
» Read moreI have two US coins that combine to total 35 cents. One is not a dime. What are the coins? [doptoggle title=”Click Here to see the Solution!!!” icon=5 activeicon=6] The trick here is in the wording (ok, so it isn’t really a math teaser…). Only one of the coins is not a dime, not both! One is not a dime, […]
» Read moreIf 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. [doptoggle title=”Click Here to see the Solution!!!” icon=5 activeicon=6] There are six sides to each die, so to […]
» Read moreBecause 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? [doptoggle title=”Click Here to see the Solution!!!” icon=5 activeicon=6] To solve this using some basic algebra, there are data […]
» Read moreA 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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