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Math problems for grade 7, please help

2009-10-13View Original

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This post was last edited by ddfmy on 2009-10-13 23:42. Please help fill in the numbers in the sixth row: 1/11/21/21/31/61/31/41/121/121/41/51/201/301/201/5      
Reply #22009-10-14
This post was last edited by chen3jun on 2009-10-14 02:20: 1/11/21/21/31/61/31/41/121/121/41/51/201/301/201/5 1/6 1/30 1/54 1/48 1/60 1/6
Reply #32009-10-14
I think it should be 1/6, 1/30, 1/57, 1/52, 1/30, 1/6
Reply #42009-10-14
1/6 1/30 1/54 1/54 1/30 1/6
Reply #52009-10-14
1/6 1/30 1/42 1/42 1/30 1/6
Reply #62009-10-14
This post was last edited by zjy_007 on 2009-10-14 11:17. 1/1 1/2 1/2 1/3 1/6 1/3 1/4 1/12 1/12 1/4 1/5 1/20 1/30 1/20 1/5 1/6 1/30 1/42 1/42 1/30 1/6. So, the answer for floor 5 is correct. Let’s analyze it: 1. Everyone knows the pattern for the red numbers, so there’s no need to explain it. 2. The purple numbers, such as 1/6=1/2*1/3 and 1/12=1/3*1/4, are obtained by multiplying the red numbers from the previous row by the red numbers in the current row. 3. The blue numbers, such as 1/30=1/5*1/6 and 1/42=1/6*1/7, are obtained by multiplying the red number in the current row by the red number in the row below it.            
Reply #72009-10-14
Okay, interesting. I did some calculations too and think the idea of the 5th floor makes sense.
Reply #82009-10-14
Well, I agree with what was said on floor 5 – it’s quite interesting. So I ended up supporting floor 5’s opinion, forgetting that I wasn’t supposed to give a rating. Sorry!

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