Nov
23

Brain Teaser #6

Filed Under (Curriculum, Extra-Curricular, Homework, Just for fun, Math) by jtoa on 23-11-2009 and tagged ,

I was very impressed with the comments from the last brain teaser because many of you really tried to explain your answers. Well done to everyone who attempted the brain teaser and offered a step by step explanation in sentences of how you arrived at your answer. Jeffrey wrote ‘The answer is Dave gave Charlotte 36 marbles. I got the answer because on this problem, you have to work backwards. Johnnie kept 8 marbles and gave 10 to Dana so we know Johnnie had 18 marbles because 8+10=18. Then we know Charlotte gave half her marbles to Johnnie so you do 18×2=36. Then Dave gave Charlotte have of his marbles so 36×2=72. But we only need to know how many Dave gave to Charlotte and he gave half of 72 which is 36. Then to check, 72/2=36 36/2=18 18-10=8.’

The Question

Mary and Jason were making propellers for their wooden helicopters. Mary put a number on her propeller and noticed that when she turned the propeller she had the same number. Jason was trying to think of a number that he could put on his that had the same rotational symmetry (looks the same turned upside down).

What is the next larger number that has this property?

Mr. T



10 Comments Already, Leave Yours Too

Ritu on 23 November, 2009 at 5:10 pm #
    

sorry i don’t get it

Ritu


Bryan on 23 November, 2009 at 6:24 pm #
    

Maybe 19061, or 16091. Ummmm, 1881, 18081… and much more.


Simon lee on 23 November, 2009 at 9:23 pm #
    

The answer is 10001. It is because 1971~1999 is not the same number upside down. So the next larger number you could think is 10001 which is 10001 upside down.


Jeffrey on 24 November, 2009 at 7:07 pm #
    

Hi Mr. Toa!
I think the answer is 6009. I got the answer because the question was what is the NEXT HIGHEST number that has that quality. 1962-1999 can’t be it because none are the same number upside down and 2000-5000 can’t be it because 2, 3, 4, and 5 upside down are all not numbers. 6000 upside down is 9000 so you have to make it the same so i got 6009 because upside down it is 6009. 9 upside down is 6 and 6 upside down is 9.
Some people did numbers that aren’t the next highest and are huge and Bryan, you did one that’s smaller.
-Jeffrey


Kenny Barber on 24 November, 2009 at 8:13 pm #
    

I think the answer is 6009. There are only a few numbers that can be turned upside-down and have rotational symmetry. They are 1, 6, 8, 9, and 0.
I got the answer 6009 using these numbers by trial and error.


Angela on 25 November, 2009 at 4:36 pm #
    

There are quite a few. the first answer that popped into mind was 1881, but then I remembered it had to be LARGER than the number you already stated. I knew that to get a number bigger than that number, I would have to use 6 and 9 and maybe eight, but than would be not the next largest number if it started with eight. I think that it is 6009 because you could try starting with a 1, but it wouldn’t work, the largest you have already wrote. Then you go to six because that’s the next smallest number that is symmetrical. If I use six after the six would be also a symmetrical number, this time as small as possible, so I put zero. When you have the 69, you have the 09,
Angela


May on 25 November, 2009 at 7:18 pm #
    

i think that the answer is 6009 because in 1961 the 9 and 6 belong to the group of single numbers that make sense when it is turned around and that group of single numbers are: 1, 6, 8, 9, and 0.


marc on 29 November, 2009 at 4:49 pm #
    

6009 is what I, Zorg, believe to be correct, as nothing from 2000-5000(in human digits, of course) visually duplicates itself when inverted.

DIREA, or goodbye, as my people say,Zorg (marc in your dialect).


Ryan on 30 November, 2009 at 5:23 pm #
    

I got the number 6009, because it said that we needed the next higher number of 1961.


Rachel on 1 December, 2009 at 8:51 pm #
    

Hi Mr. Toa,

I got 6009, because in 1961 the 9,6 is a single number..so when you turned it around… the numbers were 1, 6, 8, 9 and of course…0.


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