The post Crayon Parade appeared first on Bedtime Math.

]]>We just love this map of Crayola crayon colors. It shows how Crayola has added more and more shades over the years. Back when the company started in 1903 as Binney & Smith, there were just 8 crayon colors: red, orange, yellow, green, blue, purple, brown and black. By 1935 there were 16 colors, including great stuff like pink, navy blue, and white. What’s cool is the chart creator, Stephen von Worley, chose years that had an exact multiple of the original colors, so the stripes line up nicely. For instance, by 1949 there were 48 colors, exactly 6 times as many as the start. 2010 shows about 15 stripes per chunk, giving us 120 colors. It all helps us draw much better pictures today!

*Wee ones:* The “primary colors,” which we mix to make all other colors, are red, yellow and blue. How many colors is that?

*Little kids:* If your crayon box has 3 crayons in the front row and 1 more than that in the second row, how many crayons do you have? *Bonus:* If you mix any 2 primary colors in equal amounts, you get a secondary color. Since there are 3 primary colors, how many ways can you mix 2 of them?

*Big kids:* By 1972 there were 9 times as many shades as the first 8. How many colors were there that year? *Bonus:* If the vat of wax for red-orange uses twice as much red wax as yellow, and it uses 36 cups in total, how many cups of each color are in there?

Answers:

*Wee ones:* 3 colors.

*Little kids:* 7 crayons, since it’s 3+4. *Bonus:* 3 ways: blue + yellow (to make green), red + yellow (to make orange), and blue + red (to make purple).

*Big kids:* 72 colors. *Bonus:* 24 cups red and 12 cups yellow. There are 2 parts red and 1 part yellow, making red 2 parts out of 3, and 1/3 of 36 is 12.

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]]>The post When Cat Meets Deer appeared first on Bedtime Math.

]]>We’re loving this video of a cat meeting up with a herd of deer — they all look confused and a little suspicious. Deer across the U.S. have been flushed out of their forest homes and now wander through our neighborhoods, which is why people can catch funny videos like this one. It makes sense that the little cat would be nervous: While cats weigh between 8-12 pounds, a full-grown male (boy) deer can weigh almost 300 pounds! And if the cat runs, those deer can catch it: both animals have a top speed of about 30 miles per hour. The real question is, which one can rule the world? A doe (girl deer) can have 1 to 4 babies in a year, while cats can have up to 12 kittens per year. In the end, cats might take over!

*Wee ones:* How many animals can you count in the photo?

*Little kids:* If a deer and a cat try to race, how many legs do they have together? *Bonus:* Deer antlers can grow 1 inch per day. If *you* grew an inch a day, how tall would you be 1 week from now?

*Big kids:* If the lead deer weighs 200 pounds and the cat weighs just 12 pounds, how many pounds heavier is the deer? *Bonus:* How many cats that size would have to get together to outweigh the deer?

Answers:

*Wee ones:* 5 animals: 4 deer plus the cat.

*Little kids:* 8 legs (4 on each). *Bonus:* Different for everyone…add 7 to your height in inches.

*Big kids:* 188 pounds more. *Bonus:* 17 cats, since 16 cats will weigh just 192 pounds.

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]]>The post Alligators, Windmills, and One Small Ball appeared first on Bedtime Math.

]]>Golf is the grown-up sport where you use a skinny iron stick, or “club,” to hit a very small ball over and over until it goes into a very small hole. The 18 holes are spread out across giant fields of grass, so it takes *hours* to finish a game. Thankfully, someone invented “miniature golf,” where the holes are much closer to each other — and the ball rolls through fun buildings and toys. Mini golf players have to “putt,” or hit, the little ball through waterwheels, windmills, and fake animals with their jaws wide open. Today is Miniature Golf Day, so let’s celebrate — and let’s hope no real gators show up.

*Wee ones:* If you putt the ball through the alligator’s mouth, then around the castle, then over the bridge, then through the windmill, how many obstacles have you passed?

*Little kids:* If the spinning windmill blocks every 4th player’s ball starting with the 4th, who’s the next player to get blocked? *Bonus:* If you’ve played all 18 holes except the alligator at the end, how many holes have you played?

*Big kids: *If you get through the windmill on just 2 strokes, but then take 4 putts for the alligator and for each of the next 4 animals, how many strokes is that so far? *Bonus:* If you have a final score of 72 after 18 holes, how many strokes did you take per hole (on average)?

*The sky’s the limit:* If you score a “hole in one” (get the ball into the hole on 1 putt) on every 3rd hole starting with the 3rd, and your friend gets a hole in one on every 5th hole starting with the 5th, on how many of the 18 holes does nobody get a hole in one?

Answers:

*Wee ones:* 4 obstacles.

*Little kids:* The 8th player. *Bonus:* 17 holes.

*Big kids: *22 strokes. *Bonus:* 4 strokes per hole.

*The sky’s the limit:* 10 holes. You will score on 6 holes: 3, 6, 9, 12, 15 and 18. Your friend will score on 3 holes: 5, 10 and 15. But you already counted hole #15 in your set. So that makes just 8 holes total, leaving 10 holes with no hole in one.

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]]>The post Build Your Own Big Bad Bed! appeared first on Bedtime Math.

]]>Bed is a quiet place to sleep – but for this kid, bed is more like a treehouse, ball ramp and jungle gym all at once. Eric Strong’s son didn’t want to move from his toddler crib into a big-boy bed. But a new baby was on the way, so he had to switch. So his dad built the most awesome kid bed ever. Eric started with a loft bed from Ikea, then added 3 cubbies onto the end and ran a slide on top of them. The bookcase swings open as a door to a secret compartment, and a ball ramp drops golf balls into a bucket, which the boy can haul back up to the top using a rope. It’s awesome, but we wonder if he ever sleeps!

*Wee ones:* If the boy was 3 years old when the project started but has had a birthday since then, how old is he now?

*Little kids:* The ball ramp tilts and dumps out the balls when all 6 have landed in there. If right now it’s holding 4, how many more balls are needed to tilt it? *Bonus:* If instead there’s an odd number of balls in there, what numbers could that be, if there are 6 at most?

*Big kids:* If the dad put together 20 pieces to make the bed, 4 for the slide, and 15 for the secret compartment door, how many more pieces would have brought the total to 40? *Bonus:* If the boy can climb up and slide down the slide in just 20 seconds, how many times can he slide before bedtime 3 minutes from now? (Reminder: A minute has 60 seconds.)

Answers:

*Wee ones:* 4 years old.

*Little kids:* 2 more balls. *Bonus:* 1, 3 or 5 balls.

*Big kids:* 1 more piece, since there were 39. *Bonus:* 9 times, since he can fit in 3 rides per minute.

And thank you to Bedtime Math fan Cindy B. for sharing this story!

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]]>The post Who Runs Faster, a Person or a Horse? appeared first on Bedtime Math.

]]>Can you run faster than a horse? Not if the horse is running its fastest. But you might be able to run fast for LONGER than a horse. The world-record horse speed is 44 miles per hour for a quarter mile, while the fastest running by a human is about 27 miles per hour (by Olympian sprinter Usain Bolt). But in 1980 a Welsh guy named Gordon Green said, hey, people can outrun horses over a long distance, since a horse can’t keep up its top speed for very long. So he and his friends started the Man vs. Horse race. Dozens of horses and people run for almost 22 miles. They run the race every year, and a couple of times a person has actually won! What we do know is that at the end of it, both the people and the horses need a good long nap.

*Wee ones:* Who has more legs, a man or a horse?

*Little kids:* When 1 person and 1 horse race, how many running legs do they have together? *Bonus:* If the human gets too tired and stops just 1 mile from the end of the 22 miles, how many miles did he run?

*Big kids:* If horses have a top speed of 44 miles per hour and humans can run 27 miles per hour, how much faster can horses run than people? *Bonus:* 2004 had the most people and animals running: exactly 500 people and 40 horses. How many legs did they have altogether?

*The sky’s the limit:* If the fastest horse runs twice as fast as the fastest person, and they run straight at each other from 60 miles apart, how far from the horse’s starting point do they meet?

Answers:

*Wee ones:* A horse, which has 4 legs vs. 2.

*Little kids:* 6 legs. *Bonus:* 21 miles.

*Big kids:* 17 miles per hour faster. *Bonus:* 1,160 legs: 1,000 legs on the people, 160 on the horses.

*The sky’s the limit:* 40 miles from where the horse started. For every chunk of distance the person runs, the horse runs 2 of them, so that makes 3 parts total…so the person runs just 1/3 of the total 60 miles, and the horse runs 2/3 of it.

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]]>The post Dog Train appeared first on Bedtime Math.

]]>Dogs love to ride in the car with their head sticking out the window. So it isn’t surprising that they also like riding trains. Eugene Bostick, an 80-year-old man in Texas, built a dog train that he pulls with his tractor. He takes care of dogs he’s found who don’t have a home. When he had just a couple of dogs, he’d let them ride in the tractor with him. But after a few more dogs showed up, he couldn’t hold them all in his lap any more. So he connected a bunch of blue carts, and ta-da, he had a dog train! Now he gives the dogs a train ride twice a week.

*Wee ones:* What shape are the tractor wheels?

*Little kids:* If there’s 1 dog in each cart, how many dogs are in front of the dog in the 7th cart? *Bonus:* If 3 carts are carrying 2 little dogs each, while the rest of the 8 carts each hold 1 dog, how many dogs are riding the train?

*Big kids:* If the dogs ride every 4th day starting on Sunday of the 1st week, in what week do they get to ride on a Tuesday? *Bonus:* If the dogs ride twice a week, how many rides do they get in a 52-week year?

Answers:

*Wee ones:* Circles.

*Little kids:* 6 dogs. *Bonus:* 11, since there are 3 extra dogs beyond the usual 8.

*Big kids:* In the 3rd week (Sunday/Thursday, then Monday/Friday, then Tuesday/Saturday). *Bonus:* 104 rides.

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]]>The post Hang Out Inside My Piano! appeared first on Bedtime Math.

]]>What shape is your house? Is the front a rectangle, maybe with some triangle shapes? How cool would it be if it looked like a piano, like this crazy building here? It even has a huge violin leaning on it. It was built at the Urban Planning Exhibition Hall in Huainan City, China. The piano has windows all the way around in that middle stripe. Inside the violin part is the staircase you take to get up inside the piano. The tiny-looking people in the photo show how giant the building really is. You can’t play this piano, but college students do hold concerts there — so they get to play piano *inside* a piano.

*Wee ones:* What shapes are the windows going around the piano?

*Little kids:* The violin has 4 long bars that look like violin strings. If you pluck the first and last to play them, how many strings are left in between? *Bonus:* If the 4 violin strings are spaced 2 feet apart, how far is the 4th string from the 1st? Think carefully!

*Big kids:* If a regular piano is 5 feet wide, and this one is 14 times as wide, how wide is this piano? (*Hint if needed:* What if it were 10 times as wide…and then how many more pianos do you need to add on?) *Bonus:* The bottom of the piano is about twice the height of a person, then the piano is about 3 people’s height, then the lid adds another 3 people’s height. If a person is 6 feet tall, how high off the ground is the very top?

*The sky’s the limit:* If the violin part of the building is 60 times as tall as a real violin and 700 inches taller than 10 violins stacked end to end, how tall are a real violin and this violin building?

Answers:

*Wee ones:* Rectangles.

*Little kids:* 2 strings. *Bonus:* 6 feet, since the 4 strings have only 3 gaps between them.

*Big kids:* 70 feet. *Bonus:* 48 feet, since it’s 8 people’s height.

*The sky’s the limit:* 14 inches for a violin, 70 feet (840 inches) for the building. If 700 is the difference between 10 violins and the building, which is 60 violins tall, then that 700 equals the height of 50 violins. Dividing, we get 14 inches for a violin, and 60 times that (840 inches) for the building.

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]]>The post Fruit Fight appeared first on Bedtime Math.

]]>What kind of crazy tree is that? A peach on a tree shouldn’t have a cherry hanging next to it! Well, a guy named Sam Van Aken created trees that grow lots of kinds of fruit. He “grafts” pieces of different trees, meaning he cuts off one tree’s branch and ties it to a cut in another tree, maybe its trunk. If the two plants are similar enough, they grow together to become one happy tree. Sam chose stone fruits, like peaches and cherries, because those fruits are enough alike. It’s like someone giving you a rabbit’s ears or an anteater’s nose — and thankfully, that wouldn’t work. But this tree trick works, and Sam’s trees can grow 40 types of fruit. Now you can do all your fruit-picking in one spot!

*Wee ones:* If Sam’s tree can grow peaches, plums, cherries, nectarines, and apricots, how many types of stone fruit is that?

*Little kids:* If you try your favorite 3 types of fruit today and 4 more types tomorrow, how many types have you tried? *Bonus:* If a tree grows 40 fruits, how would you count those up by 10s?

*Big kids:* If the tree grows 40 kinds of fruits and 5 of each are ripe, how many pieces of fruit are ready for you to pick? *Bonus:* If you pick a new fruit type each day, then after finishing the 40 you start over in the same order, how many *full* times will you cycle through all fruit types in 1 year? (*Reminder:* A year has 365 days, a leap year has 366.)

Answers:

*Wee ones:* 5 types of fruit.

*Little kids:* 7 types. *Bonus:* 10, 20, 30, 40.

*Big kids:* 200 pieces of fruit. *Bonus:* 9 full cycles, since that brings you to 360 and you can’t then fit another cycle.

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]]>The post Why Do Cats Have Whiskers? appeared first on Bedtime Math.

]]>Cats look so cute with those furry, fuzzy whiskers. But the whiskers aren’t there just for fun. They are super-sensitive, meaning when they brush against anything, cats really feel it. The whiskers help the cat figure out if it can squeeze through an opening without getting stuck. You never want to trim (cut) those whiskers, because it will leave the cat dizzy and confused. The 8-12 whiskers on each side of the nose also show a cat’s mood: whiskers sticking straight out show that a cat is calm; whiskers tilted forward mean the cat is excited and alert; and whiskers flattened back show anger or fear. Cats also have whiskers above their eyes, on their chin, and on the backs of their front legs — and they all look cute.

*Wee ones:* If a cat’s whiskers reach 8 inches across and a hole in the wall is 9 inches across, will the cat think it can sneak through?

*Little kids:* If a cat has 10 whiskers on each side of its nose, how many does it have? *Bonus:* What if it has 12 on each side — how many more whiskers does it have now?

*Big kids:* If a cat had 9 whiskers on each side of its nose, above each eye, and behind each front paw, how many whiskers would that be in total? *Bonus:* If 1 cat has 80 whiskers in total, another has 36 in total, and a 3rd cat’s number is halfway between those, how many whiskers does the 3rd cat have?

Answers:

*Wee ones:* Yes! The hole is wider than its whiskers.

*Little kids:* 20 whiskers. *Bonus:* 4 more whiskers since you added 2 on each side.

*Big kids:* 54 whiskers (6 sets of 9). *Bonus:* 58 whiskers. The difference between the first 2 cats is 80-36 = 44, so the 3rd cat’s number will be 22 less than one cat and 22 more than the other cat.

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]]>The post A Bed for Rover, Fluffy, and You appeared first on Bedtime Math.

]]>When you’re really tired, it’s so nice to flop down on your comfy bed. Well, dogs and cats like our beds, too. Some people don’t want to share their bed with scratchy paws and wet noses, but some pet lovers are just fine with it. One couple with 5 cats and 2 dogs finally built a new bed to hold them all! The megabed stretches almost 11 feet across, and fills up half the bedroom. They made it by shoving together a king-size bed and a full bed, then filling in the gap between them. We’re just amazed all those cats and dogs get along so well.

*Wee ones:* If you count up the 5 cats, what numbers do you say?

*Little kids:* If the 2 humans, 5 cats and 2 dogs all sleep in the bed, how many animals is that? (We humans are animals, too!) *Bonus:* If the humans wash the sheets every 4 days and the last time was Tuesday, on what day do they wash them next?

*Big kids:* When the 2 humans, 5 cats and 2 dogs are all in the bed, how many legs are kicking around? *Bonus:* If the bed has just 2 pillows and 2 animals get to use them that night, how many pairs of people vs. dogs vs. cats could there be? (You don’t need to worry about the order, nor which person, cat or dog you’re talking about — just the type).

*The sky’s the limit:* What if you have 3 pillows? What are all the possible triplets of animal types who could use them? (Again, no need to worry about the order or the names — just the types (species).)

Answers:

*Wee ones:* 1, 2, 3, 4, 5.

*Little kids:* 9 animals. *Bonus:* On Saturday.

*Big kids:* 32 legs: 28 pet legs and 4 people legs. *Bonus:* 6 possible pairs. There are at least 2 of each type of animal, so there are 3 pairs where both are the same (2 people, 2 cats, 2 dogs). Then you can pick one of each, giving you 2 pairs that include a person (P-C, P-D), plus C-D.

*The sky’s the limit:* There are 8 possible sets of pillow users:

– There’s only 1 case where all 3 users are the same: 3 cats (since there are only 2 people and 2 dogs).

– There are 6 cases where 2 animals are the same and 1 is different: 2 people with a cat, 2 people with a dog, 2 cats with a person, 2 cats with a dog, 2 dogs with a person, 2 dogs with a cat.

– Then you have just 1 case where there’s 1 of each type of animal: person, cat, dog.

The post A Bed for Rover, Fluffy, and You appeared first on Bedtime Math.

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