The 11 times tables. Stg 5/E6 x/÷ Name: _________________ Well, you lucky things, it’s time for the 11 times tables! Super-duper easy. Even your teacher can do these. Up until 11 x 9, all you have to do is write the number you see down twice: 11 x 2 = 22 First, circle every 11th number on the 99 chart (The first one is done for you)– see if you can spot the pattern! Also, have a go at writing in the answers to these ones: 1. 2. 3. 4. 5. 6. 7. 8. 9. 11 x 4 = ____ 11 x 8 = ____ 11 x 3 = ____ 11 x 9 = ____ 11 x 2 = ____ 11 x 5 = ____ 11 x 7 = ____ 11 x 6 = ____ 11 x 1 = ____ 4 x 11 = ____ 8 x 11 = ____ 3 x 11 = ____ 9 x 11 = ____ 2 x 11 = ____ 5 x 11 = ____ 7 x 11 = ____ 6 x 11 = ____ 1 x 11 = ____ Well that was easy. We can use this when we muck about with place value too! a. b. c. d. e. f. g. h. i. 11 x 3 = ___ so 11 x 7 = ___ so 11 x 2 = ___ so 11 x 8 = ___ so 11 x 4 = ___ so 11 x 9 = ___ so 11 x 1 = ___ so 11 x 5 = ___ so 11 x 6 = ___ so 11 x 30 = 330 11 x 70 = _____ 11 x 20 = _____ 11 x 80 = _____ 11 x 40 = _____ 11 x 90 = _____ 11 x 10 = _____ 11 x 50 = _____ 11 x 60 = _____ 110 x 3 = _____ 110 x 7 = 770 110 x 2 = _____ 110 x 8 = _____ 110 x 4 = _____ 110 x 9 = _____ 110 x 1 = _____ 110 x 5 = _____ 110 x 6 = _____ & & & & & & & & & 11 x 300 = _______ 11 x 700 = _______ 11 x 200 = 2200 11 x 800 = _______ 11 x 400 = _______ 11 x 900 = _______ 11 x 100 = _______ 11 x 500 = _______ 11 x 600 = _______ Alright, I get it, far too easy for you. Still, there are a few more 11s that are handy to know. See if you can work these out by counting on 11: Check this on your calculator: 11 x 9 = ____ + 11 more is ______ (11 x 10) Number Eleven Pyramids 11 x 10 = ____ + 11 more is ______ (11 x 11) 11 x 11 = ____ + 11 more is ______ (11 x 12) 11 x 12 = ____ + 11 more is ______ (11 x 13) 11 x 13 = ____ + 11 more is ______ (11 x 14) 11 x 14 = ____ + 11 more is ______ (11 x 15) 11 x 1 = 11 11 x 11 = 121 111 x 111 = 12321 1111 x 1111 = 1234321 11111 x 11111 = _________ Did you know? - In many popular sports around the world, such as American football, cricket, hockey, and Football (soccer), there are eleven players in each team. Dave Moran 2015 Stg 6 x/÷ The 11 times tables. Name: __________________ Are you serious? The elevens are so easy you don’t even have to memorise them right? Everyone knows, you just put the number you are multiplying down twice, then violà, hey presto you’re done! For example 11 x 3 = 33, 11 x 7 = 77 and so on. It’s true, and it works because 11 = 10 + 1. It works until 11 x 9 anyway. Then 11 x 10 is in your 10 x tables, which of course is easy too (11 x 10 = 110). Then all you have to do is memorise the two nasty ones at the end: (Actually memorising them is a good idea) So, 11 x 10 = 110, 11 x 11 = 121, 11 x 12 = 132. (Alright, that’s it, finished, done, let’s go home). Hold your horses there cowboy. What if I told you that you could multiply any two digit number by 11, in your head, by the end of this worksheet? You could impress your friends and family with your mental agility or win fame and fortune as the human calculator! OK, here’s a couple of tricks. Take the number that you are multiplying by 11. Say 12. (Yes. I know you know the answer, just bear with me). All you do in your mind is karate chop the 12 apart so there’s a space between the 1 and 2 Like this: 1 2 . Then add 1 + 2 and put the sum in the space. There you have it. (You must be joking, that’s too cool to be true!) OK then, try it for yourself: 1+5=_ 11 x 15 = ??? Now try these ones: 1_5 a. 11 x 34 = d. 11 x 62 = 3+4=_ 3_4 6+2=_ 6_2 1+2=3 132 You got 165, right? Check it on a calculator. b. 7+2=_ 11 x 72 = e. c. 11 x 53 = 7_2 2+7=_ 11 x 27 = 2_7 5+3=_ f. 5_3 1+6=_ 11 x 16 = 1_6 You can probably do some of these in your head already! Have a go: g. 11 x 41 = _____ h. 11 x 26 = _____ i. 11 x 32 = _____ j. 11 x 43 = _____ k. 11 x 52 = _____ l. 11 x 13 = _____ m. 11 x 23 = _____ n. 11 x 22 = _____ o. 11 x 17 = _____ p. 11 x 25 = _____ q. 11 x 33 = _____ r. 11 x 62 = _____ s. 11 x 44 = _____ t. 11 x 53 = _____ u. 11 x 71 = _____ To be continued … Dave Moran 2015 The NASA successful mission that got the first men to the Moon in 1969 was Apollo 11. Neil Armstrong and Buzz Aldrin got to walk on the Moon, while poor old Michael Collins had to stay behind and make tea in the orbiter. Stg 6/E7 x/÷ The 11 times tables. Name: ________________ …But what if the number in the middle comes to more than 9? Well, it’s much the same, but you just carry and add the leftover. What? I’ll show you. Look at this one: 11 x 67 = ??? 1st, split it 6__7, then add 6 + 7 = 13. Then pop the 3 in the middle as usual. Lastly put the leftover 1 in the hundreds column with the 6. 6 + 1 = 7 (hundred). Total 737 Still easy, just another little step. Look at it this way: A group of Giraffes is called a ‘tower’. There is no collective noun for school principals though. How about a ‘strap’ of principals? Maybe a ‘grump’ of teachers? e.g. e.g. 6 + 7 = 13 7 + 4 = 11 1 11 x 74 = 714 = 814 11s are awesome. Try: 5 + 6 = 11 1 Try: 7 + 8 = __ _ _ 11 x 67 = 6_7 11 x 56 = 5_6 11 x 78 = 7_8 = __7 = ____ = ____ This is very cool, now you can multiply any 2 digit number by 11! Try some: a. 5 + 9 = __ b. 3 + 8 = __ _ d. c. 1 + 9 = __ _ _ 11 x 59 = 5_9 11 x 38 = 3_8 11 x 19 = 1_9 = ____ = ____ = ____ 9 + 9 = __ e. 8 + 8 = __ _ f. 8 + 4 = __ _ _ 11 x 99 = 9_9 11 x 88 = 8_8 11 x 84 = 8_4 = ____ = ____ = ____ OK, it seems like you’re ready to fly solo now. Try these: g. 11 x 55 = _______ h. 11 x 68 = ________ i. 11 x 98 = _______ j. 11 x 95 = _______ k. 11 x 79 = ________ l. 11 x 94 = _______ m. 11 x 75 = _______ n. 11 x 46 = ________ o. 11 x 87 = _______ Well done, you are now officially a smarty-pants. The more curious among you will be wondering now if there’s a trick to multiply 11 by any number at all. Why yes. Yes there is. Check out this brilliant You Tube clip that explains it: Look up: “Math trick - Multiply any number by eleven instantly!” on the tecmath channel https://www.youtube.com/watch?v=7GRv84cRkzU Extra for experts challenge: See if you can figure a way multiply a bigger number by 11. Try something like 4873 x 11 Then; challenge each other to a maths battle! Dave Moran 2015 An earthquake of magnitude 9.0 struck Japan on March 11, 2011, which to date has been the most powerful to hit Japan. It resulted in a devastating tsunami which also triggered a nuclear disaster at a coastal power plant.
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