The post Donut in Outer Space appeared first on Bedtime Math.

]]>The donut has been a favorite treat for hundreds of years. But we bet you’ve never tried to shoot one into outer space. Two brothers, Alexander and Benjamin Jönsson, took a yummy glazed donut with sprinkles, stuck it on a plastic shelf with a camera, and strapped the whole thing to a weather balloon. The balloon carried the donut more than 20 miles up into the sky! The spinning camera caught amazing video of the sky, the Sun and Earth below all swinging by. 5 hours later the donut landed in a lake, and became the farthest flying astro-donut ever.

*Wee ones:* What shape is that kind of donut?

*Little kids:* If you launched a donut, 2 cookies and a brownie into space, how many astro-snacks is that? Bonus: If the donut had taken off at 1:00 in the morning and flown 5 hours, would it have landed in time for your 7:00 am breakfast?

*Big kids:* Regular airplanes fly about 7 miles above Earth. This donut flew 20 miles high. If you flew halfway between the two, how high would you be? Bonus: If the donut faced the Sun at 3:00 pm and spun all the way around every 4 minutes (at a constant speed), was it facing towards or away from the Sun at 3:18?

*The sky’s the limit, even for donuts…:* If the donut traveled for 5 hours in total, but within that spent 9 times as long floating up as falling back down (with no break in between), how much of the trip did it spend falling?

Answers:

*Wee ones:* The donut is a circle…and the grown-up word for a tube wrapped end to end into a circle is a “torus.”

*Little kids:* 4 astro-snacks. Bonus: Yes, since it would have landed at 6:00 am.

*Big kids:* At 13 1/2 miles. The gap between the two is 13, and half of that is 6 1/2 miles. You can then add 6 1/2 to 7, or subtract it from 20. Bonus: Facing away, since it would face the Sun at 3:16 and 3:20.

*The sky’s the limit:* 1/2 hour. If the donut spends 9 parts of the trip going up and 1 part going down, that makes 10 equal parts in total, where it spends 9/10 of the trip going up and 1/10 falling. 1/10 of 5 hours is 1/2 hour.

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]]>The post Doggy Paddle Like a Pro appeared first on Bedtime Math.

]]>Do you know how to swim? It’s a very exciting moment when you finally learn how. Dogs seem to feel the same way, as in this video of 8 golden retriever puppies. Just like people, some take a while to dip in a paw, while a brave one jumps right in. Dogs love to swim, and golden retrievers are among the top 10 breeds (types) of dog that do it best. Poodles swim well, too — did you know that their name and the word “puddle” both come from the German word for “splash”? If you’d like to learn how to doggy paddle, learn from the pros!

*Wee ones:* Pretend you’re doing the doggy paddle. Paddle with your right “paw,” then your left paw!

*Little kids:* If 8 puppies go for a swim, what numbers do you say to count them? *Bonus:* If 8 puppies jump in, then 2 climb out, then 1 jumps back in, how many are now in the pool?

*Big kids:* How many swimming paws do those 8 puppies have? *Bonus:* If there are 20 legs in the pool including the 4 people training them, how many puppies are in?

*The sky’s the limit: *If there are 60 paws in the pool, and within that there are twice as many poodle paws as golden retriever paws, how many poodles are in the pool?

Answers:

*Wee ones:* See if you know your right hand from your left.

*Little kids:* 1, 2, 3, 4, 5, 6, 7, 8. *Bonus:* 7 puppies.

*Big kids:* 32 paws. *Bonus:* 3 puppies, since the people take up 8 legs, leaving 12 puppy legs.

*The sky’s the limit: *10 poodles (and 5 golden retrievers). If there are twice as many poodle paws as golden paws, it’s like having a set of golden paws plus 2 more equal sets of poodle paws, or 3 equal sets together. So we take 1/3 of 60, which is 20, giving us 20 golden paws. That leaves us 40 poodle paws on 10 poodle, since each dog has 4 paws.

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]]>The post Don’t Bite the Robot That Feeds You appeared first on Bedtime Math.

]]>This might be the weirdest robot we’ve seen yet. Tomatan is a tomato-tossing robot for marathon runners. A marathon is 26 miles long, and it’s really hard to run that far. When the runner squeezes one of Tomatan’s feet, Tomatan grabs a tomato out of its own backpack, swings it overhead and holds it to the runner’s mouth. As we see in the video, the runner can just keep running while munching! You probably never thought you could have a backpack robot — but you also probably never thought you’d want to eat tomatoes while running. Now you can do both.

*Wee ones:* What shape is a tomato?

*Little kids:* If Tomatan could feed you 2 tomatoes and then 5 bananas, how many pieces of food would he hand you? *Bonus:* If you want to eat 10 things in total, how many more pieces of food should Tomatan feed you?

*Big kids:* If you run 26 miles and eat a tomato every 3 miles, can you eat all 10 tomatoes before you finish the race? *Bonus:* If you eat 2 tomatoes during each and every mile, how many do you chug down in total?

Answers:

*Wee ones:* It looks like a circle from the side, and it’s also a sphere (a ball)…or if you want to get fancy, a spheroid (a squashed sphere, since most tomatoes aren’t perfect).

*Little kids:* 7 pieces. *Bonus:* 3 more pieces.

*Big kids:* No: even if you eat one at the start (0 miles), you’ll have had 2 tomatoes after 3 miles, 3 after 6 miles, and so on, giving you only 9 by 24 miles. *Bonus:* 52 tomatoes.

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]]>The post High-Flying Jump appeared first on Bedtime Math.

]]>Jumping on a trampoline can make you feel like a superhero. Just one little push-off and you’re flying higher than anybody on the ground. With all that time hanging in the air, you can do flips, bounce onto your knees, or land in a handstand. There are world records for the longest time jumping, the most one-legged jumps, and even the “Fastest Time to Dress in Formal Attire While Jumping on a Trampoline.” Even dogs are getting into the act: check out this video of a Great Dane (a really huge dog) doing some jumps himself!

*Wee ones:* Jump as high as you can from the floor. Now do 2 more jumps! How many jumps did you do?

*Little kids:* If you and your pet dog jump on the trampoline, how many legs do you have in total? *Bonus:* If you jump for 20 seconds and count down from 20, what are the first 10 numbers you say?

*Big kids:* If you’re in the air 4 seconds per jump, and you need 8 seconds in the air to pull on pants, 12 seconds to pull on a shirt, and 8 seconds to pull on socks, how many jumps do you need to get dressed in the air? *Bonus:* In one world record, Ken Kovach spun a hula hoop 130 times around himself while jumping. If he did 2 spins per second, how long did it take him to set the record?

Answers:

*Wee ones:* 3 jumps.

*Little kids:* 6 legs. *Bonus:* 20, 19, 18, 17, 16, 15, 14, 13, 12, 11.

*Big kids:* 7 jumps (2 + 3 + 2). *Bonus:* 65 seconds.

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]]>The post Real Quadruple Rainbow appeared first on Bedtime Math.

]]>Have you ever seen a real rainbow? Maybe a little one on the wall from sun shining through angled glass, or a giant one in the sky (which you find by standing with your back to the sun, then looking forward 40 degrees to your left and right). A single rainbow has stripes of all the colors — red, orange, all the way to violet — but sometimes it’s stacked under another backwards rainbow that runs from violet to red. That’s called a double rainbow, and it’s very special because it’s so rare. That’s why people love this photo of two double rainbows. Amanda Curtis saw it over a train station in Long Island and quickly snapped a picture. No one is sure how the sun made these shapes, but we’re lucky the camera caught it before they disappeared.

*Wee ones:* A rainbow has red, orange, yellow, green, blue, and purple. Try to find 1 thing in your room of each color. How many things did you find in total?

*Little kids:* Some say the rainbow has 1 more color than the above: “indigo” (between blue and purple). How many colors does that rainbow have? *Bonus:* You can take any 2 of the “primary” colors — red, yellow and blue — and mix them to make a “secondary” color (like orange, which mixes red and yellow). How many different pairs of primary colors can you choose to mix?

*Big kids:* If you could see 7 sharp stripes in each of the 4 rainbows here, how many colored stripes would you see in total? *Bonus:* Rainbows in the sky usually don’t last long. If the rainbow appeared at 6:58 pm and lasted just 5 minutes, when did it disappear?

Answers:

*Wee ones:* 6 things, if you find one of each of those colors. Items might include socks, Lego blocks, other toys, and book covers.

*Little kids:* 7 colors. *Bonus:* 3 pairs: red+yellow, yellow+blue, and red+blue. Those give you orange, green and purple — the other 3 colors in the 6-color rainbow!

*Big kids:* 28 stripes. *Bonus:* At 7:03 pm.

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]]>The post Geckos, Dragons, Chameleons, Oh My! appeared first on Bedtime Math.

]]>So what’s the difference between geckos, lizards, Komodo dragons, salamanders, chameleons, and other wiggly creepers? It turns out that all but one are in the same big happy family: the lizard family. Lizards are reptiles, like snakes, alligators and turtles. They are all cold-blooded, so they have to lie in the sunshine to warm up. There are over 6,000 species (types) of lizard: some geckos and chameleons are just a few inches long, while the biggest lizard, the Komodo dragon, can be 9 to 10 feet long! Meanwhile, one slinky four-footed friend, the salamander, isn’t part of the family. It’s an amphibian, meaning it can live in the water or on land. It doesn’t have scales like the lizards, but we think it gets the last laugh.

*Wee ones:* Lizards have 4 feet. Who has more, you or a lizard?

*Little kids:* Chameleons change color to hide and also to show they’re angry. If you have 5 chameleons and 2 of them turn dark, how many of them are still happy? *Bonus:* How many feet do the 2 angry ones have altogether?

*Big kids:* If you have the longest chameleon possible — 27 inches — and it’s 9 times as long as your pet gecko, how long is the gecko? *Bonus:* If you also have a 10-foot pet Komodo dragon, how much longer than you is that dragon, in inches?

Answers:

*Wee ones:* The lizard!

*Little kids:* 3 happy chameleons. *Bonus:* 8 feet.

*Big kids:* 3 inches. *Bonus:* Different for everyone…subtract your height (length) from 120 inches.

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]]>The post How to Make More S’mores appeared first on Bedtime Math.

]]>S’mores bring together two really yummy treats: chocolate and marshmallow. You roast a marshmallow on a stick over a campfire, then smush it with a square of chocolate between two graham crackers. The hot marshmallow melts the chocolate into a gooey, tasty mess. Well, two ladies at Gooseberry Patch show us how to bake a whole tray of S’mores at once. You layer chocolate squares and mini-marshmallows on top of graham crackers, then bake the whole thing at 400 degrees. It makes 16 melted S’mores just like “real” ones, and without any leaves or dirt mixed in!

*Wee ones:* If S’mores use graham cracker, chocolate, and marshmallow, how many ingredients do they use?

*Little kids: *If your S’more uses 2 crackers, 3 squares of oozing chocolate, and 2 gooey mini marshmallows, how many pieces do you use? Bonus: If you make a super tall S’more that layers cracker, chocolate, marshmallow, then cracker again to repeat…what’s the 12th layer?

*Big kids:* If your tray holds 4 rows of 6 crackers each, how many S’mores can you make at once? *Bonus:* If each S’more uses 3 chocolate rectangles and you have 7 bars of 8 rectangles each, do you have enough rectangles to make 20 S’mores?

*The sky’s the limit:* To find out if a number is a multiple of 7, you chop off the last digit, double it, then subtract that from what’s left of the number. If you get a multiple of 7 (including zero and negative multiples of 7) as your answer, then the starting number is a multiple. If each S’more uses 7 mini marshmallows and you have a bag of 196 minis, will you have any leftover minis as you make your S’mores?

Answers:

*Wee ones:* 3 ingredients.

*Little kids:* 7 pieces. *Bonus:* Marshmallow, just like every 3rd layer.

Big kids: 24 s’mores. *Bonus:* Not quite. You’ll need 60 pieces, and the bars give you only 56.

*The sky’s the limit:* No leftovers — 196 is a multiple of 7! To test 196, you chop off the 6 to leave you with 19. Then subtract 6 x 2 (which is 12) from that 19. This gives you 7, so 196 will let you make an exact numbers of S’mores.

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]]>The post Better Than Breaking a Dinner Plate appeared first on Bedtime Math.

]]>A license plate is that little metal rectangle that helps us keep track of cars: each car gets its own set of letters and numbers. Since license plates are made of aluminum, it’s much harder to break them than the plates in your kitchen. But one guy broke 23 of them – and he did it in 60 seconds! Bill Clark is a “strongman.” He does stunts to show what you can do if you lift weights to become super-strong. He rolls up frying pans, lifts cars, and yes, rips license plates right in half. To do this, Bill holds the metal rectangle against his belly, then pushes the top and bottom edges in opposite directions, and snap goes the license plate! The real question is, if Bill can do so much in just 1 minute, what can he break in an hour?

*Wee ones: *If a license plate has 3 letters and 4 numbers, does it have more letters or numbers?

*Little kids: *If Bill breaks his own record of 23 by 1 more license plate, how many doe he break? *Bonus: *How many pieces does he make if he snaps 8 license plates in half?

*Big kids: *Say Bill can’t keep up the record pace, and snaps “only” 20 license plates in the 2^{nd} minute, 17 in the 3^{rd} minute, 14 in the 4^{th} minute… what’s the pattern, and how many do you think he snaps in the 7^{th} minute? *Bonus: *If Bill had snapped 1 license plate every 3 seconds for 1 minute, would he have set the record at 23 plates?

*The sky’s the limit: *If Bill can keep breaking 23 plates per minute, how long would it take him to break more than 1,000 plates?

**Answers:**

*Wee ones: *There are more numbers, because 4 is more than 3.

*Little kids: *24 license plates. *Bonus: *16 pieces, because each snapped plate makes 2 pieces, and 8 x 2 = 16.

*Big kids: *Bill snaps 3 fewer plates in each minute, so he’d snap 11 in the 5^{th} minute, 8 in the 6^{th} minute, and 5 in the 7^{th} minute.* Bonus: *No, he would’ve only snapped 20 plates, because 60 divided by 3 equals 20.

*The sky’s the limit: *44 minutes to break 1,012 plates. You can break this problem into more manageable chunks by reasoning that Bill breaks 230 plates in 10 minutes. Then counting up by 10-minute increments, you arrive at 460 plates in 20 minutes, 690 plates in 30 minutes, and 920 plates in 40 minutes. The remaining 80 plates will take more than 3 minutes, since 23 * 3 = 69, so all told it takes 40 + 4 minutes.

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]]>The post Yes, You’re Made of Water appeared first on Bedtime Math.

]]>*Wee ones:* Half your weight is water. Find something in the room about half as big as you.

*Little kids:* If you’re carrying 5 pounds of bone and 6 pounds of skin, how much would you weigh if you were just “skin and bones”? *Bonus:* How much more than your bones does your skin weigh?

*Big kids:* Find out your weight in pounds. If you stand on a scale and drink 2 pounds of water (4 cups), now how much do you weigh? *Bonus:* If you weigh 70 pounds, and exactly half of you is water and 1/7 is bones, how much of your weight is other stuff?

__Answers:__

*Wee ones:* Items might include a big stuffed animal, a giant pillow, or a bean bag chair.

*Little kids:* 11 pounds. *Bonus:* 1 pound more.

*Big kids:* Different for everyone…add 2 to your weight in pounds. *Bonus:* 25 pounds, since you have 35 pounds of water and 10 pounds of bone.

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]]>The post How to Catch a Flying Grape appeared first on Bedtime Math.

]]>*Wee ones:* If your friend catches 4 grapes in a row and you catch 6 in a row, who caught more?

*Little kids:* If you catch the 1st grape you throw, then the 3rd, then the 5th, what grape do you catch next? *Bonus:* If you can catch 10 grapes per minute, how would you count them up over 4 minutes? Count up by 10s!

*Big kids:* If Steve had caught exactly 1,200 grapes in 1/2 hour, how many would he have caught in 1 hour? *Bonus:* How many did he catch per minute? (Reminder: A whole hour has 60 minutes.)

Answers:

*Wee ones:* You caught more!

*Little kids:* The 7th grape. *Bonus:* 10, 20, 30, 40.

*Big kids:* 2,400 grapes in an hour. *Bonus:* 40 grapes per minute, since a 1/2 hour has 30 minutes and 1200/30 = 40.

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