The post Livin’ in a Schoolbus appeared first on Bedtime Math.

]]>*Wee ones:* If that bus has 2 front wheels and 2 back wheels like most schoolbuses, how many wheels does it have?

*Little kids:* Hank spent $3,000 buying the old bus and $6,000 fixing it up. How much did he spend in total on his new home? *Bonus:* If you normally ride the bus 1 hour per day total, how much *more* time could you spend there in 1 day if you stayed the whole time? (Reminder: A day has 24 hours.)

*Big kids:* If Hank’s bed is 84 inches long, and each 28-inch deep seat seated 2 kids, how many kids could have sat where the bed is now? *Bonus:* If the bus had 20 rows of seats that are each 28 inches front to back, how long a house did that bus give him once he emptied it? (Hint if needed: You can break this into pieces by multiplying by 10 and then by 2, or in the other order.)

*The sky’s the limit:* Suppose the bus had a lucky 13 rows from front to back. If Hank wanted to build in an 84-inch bed, an 84-inch desk space, a 140-inch kitchen, a 140-inch tropical aquarium, a 56-inch wide toilet, a 112-inch couch for guests, and a 112-inch-wide marble ramp, how many different ways could he line these up to fit? (Note: you might want paper and pencil to tally up the combos!)

Answers:

*Wee ones:* 4 wheels.

*Little kids:* $9,000. *Bonus:* 23 more hours.

*Big kids:* 6 kids, since the bed takes up 3 rows. *Bonus:* 560 inches.

*The sky’s the limit:* There are 1,152 arrangements. First, figure out how many seat rows each item takes up: 3 each for the bed and desk, 5 each for the kitchen and aquarium, 2 for the toilet, and 4 each for the couch and marble ramp. You’re now finding all the ways to fit 3, 3, 5, 5, 2, 4, and 4, given that together they add up to 26 spaces, which is exactly the total space given. So the first few items have to add up to exactly 13, leaving 13 for the rest as well.

- There are only 4 possible number groupings within which you can rotate: 5+5+3, 4+4+2+3, 5+4+4, and 2+3+3+5.

- Each set can swap in different items for the lengths. So 5+5+3 can have K, A and B (kitchen, aquarium and bed) or K, A, D (kitchen, aquarium and desk). Similarly 4+4+2+3 has 2 choices for the 3 (B or D), giving us 2 combos. 5+4+4 has 2 choices for the 5, as does 2+3+3+5.

- Once you pick which way one set goes, its matching set takes whatever is left: each 5+5+3 goes with a 4+4+2+3, and each 5+4+4 goes with a 2+3+3+5. So there are still just 2 ways to do each of the 4 sets (8 total), and you can put any of the 8 on the left side and its match on the right.

- For each of those 8 choices, the side with 3 items has 6 possible line-ups

- For each of those 6 line-ups, the other side with 4 items has 24 possible line-ups

So by our count, Hank has 8 x 6 x 24 options, or 1,152 ways to arrange the furniture!

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]]>*Wee ones:* Which happens later, September 1 or September 23?

*Little kids:* If Sept. 1 is on Monday this year, and next year it moves 1 day later in the week, what day will Sept. 1 be next year? *Bonus:* If Labor Day has to be the first Monday in September, on what date will Labor Day land next year?

*Big kids:* If Sept. 22 is the last day of summer this year, how many days of school land in summer for kids who start Tues., Sept. 2? (Assume school on all weekdays and no weekend days.) *Bonus:* What will that number be in 2016 if you start the day after Labor Day?! Remember, Labor Day moves, and 2016 has a leap day, which pushes dates 2 days down…and fall starts on Sept. 22 that year.

Answers:

*Wee ones:* September 23.

*Little kids:* On Tuesday. *Bonus:* Since Sept. 1 will be a Tuesday, and Sept. 2 a Wednesday…the first Monday will be Sept. 7.

*Big kids:* 15 days: 4 the first week, 5 each the weeks of Sept. 8 and Sept. 15, and then Monday Sept 22. *Bonus:* In 2015 Labor Day will land on Sept 7, then Sept. 7 jumps two days later to Weds. in the week for 2016, so Labor Day 2016 will be Monday, Sept. 5. That leaves 4 days the first week, then 5 the week of Sept 12, then just 3 the following week – Sept. 19, 20 and 21 – for a total of 12 days.

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]]>The post Swashbucklin’ Sums Printable appeared first on Bedtime Math.

]]>Ahoy, mateys! Mathbeard be me name, and I’m here to clear up a rumor about the favorite letter of me and me pirate crew. I can understand how ye landlubbers would think our favorite letter is R, but it’s actually the C.

Yo ho ho! Ye have the good fortune of only hearin’ me one joke, since I’m late for the annual Buccaneer’s Black Hat Ball, where I’m leadin’ the sea shanty chorus. But I’ll bestow ye with a treasure trove of booty – lively games to keep young sea dogs as merry as a mermaid.

Squeak ye mouse below to set sail on these three games when you

Ping-pong balls be fine in a basement, but on a deck full of peg-legs they’re a recipe for disaster (just like Blackbeard’s infamous crossbones cookies). Keep ye crew safe and earn points by corrallin’ odd ‘n even ping-pong balls!

Bring ye appetite and stack ye rations as high as the main mast in this twisted challenge!

Thar’s one good reason to walk the plank – to feed the hungry beasts of the deep. Find out how many fathoms ye can flip fish food using the true tool of pirates: the spatula!

* Looking for even more fun? Don’t miss our previous printables!*

- Math with a Splash
- Boredom Busters
- Math On the Go
- Float Your Boat
- Food Fun
- New Tricks for Your LEGO Bricks
- Knockin’ Hockey

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]]>The post Berry, Berry Mixed Up appeared first on Bedtime Math.

]]>*Wee ones:* If you nibble on a blackberry, a tomato, a banana and a blueberry, how many real berries are you nibbling?

*Little kids:* A strawberry has about 200 seeds on the outside! If you bite off 1/2 of them, how many seeds are left? *Bonus:* How many seeds are on 10 strawberries?

*Big kids:* If you eat a raspberry that has 37 drupelets and a blackberry with 54 drupelets, how many more drupelets does the blackberry have? *Bonus:* If you eat 10 of each, how many juicy drupelets do they have altogether?

*The sky’s the limit:* If you have a handful of raspberries, each with 36 drupelets, and strawberries each with 200 seeds, and the number of strawberries is 1/5 the number of raspberries and there are 80 more seeds than drupelets, how many of each do you have?

Answers:

*Wee ones:* 3 real berries.

*Little kids:* 100 seeds. *Bonus:* 2,000 seeds.

*Big kids:* 17 more drupelets. *Bonus:* 910 drupelets.

*The sky’s the limit:* You have 4 strawberries and 20 raspberries. To solve with algebra, if there are s strawberries and r raspberries:

5s = r (relation between number of each)

200s = 36r + 80

Substituting 5s for r, we get

200s = 36 (5s) + 80

200s = 180s + 80

20s = 80

s = 4

That gives us 4 strawberries and 5 times that many raspberries (20). To check, the 20 raspberries will have 720 drupelets, and the strawberries will have 800 seeds, which is 80 more.

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]]>*Wee ones:* If Ben draws with just his pointy finger, middle finger and thumb, how many fingers on that hand *doesn’t* he use?

*Little kids:* If it takes 9 days of no washing for a truck to get dirty enough for a picture, and Ben draws the picture over the next 2 days, how long does the whole process take? *Bonus:* If today (Saturday) is the 1st of those unwashed days, on what day of the week will Ben finish?

*Big kids:* If the back of a truck is 8 feet wide and 9 feet tall, how many square feet of art can Ben make?(Reminder: Area is length (in this case height) times width.) *Bonus:* If the bottom of the back is 4 feet off the ground, and Ben’s hand can reach 7 feet 4 inches above the ground, how tall a ladder does he need to draw at the top?

Answers:

*Wee ones:* 2 fingers.

*Little kids:* 11 days. *Bonus:* On Tuesday, a week and a half from now.

*Big kids:* 72 square feet. *Bonus:* 5 feet 8 inches, since the top is 13 feet high.

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