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Maths Challenge!

14/4/2016

20 Comments

 
Can you work systematically to find the solution to this problem? 
Explain your answer below - but just as importantly, explain how you got to your solution and how you are certain that you found all possibilities. 

Have fun! 
Picture
20 Comments
Amina
14/4/2016 09:43:50 am

I found 7 ways:
1) 1,1,1,1,1,1,1,1,1,1,1,1
2) 2,2,2,2,2,2
3) 1,1,2,2,2,2,2
4) 1,1,1,1,2,2,2,2
5) 1,1,1,1,1,1,2,2,2
6) 1,1,1,1,1,1,1,1,2,2
7) 1,1,1,1,1,1,1,1,1,1,2

Reply
Aasiya Iqbal
14/4/2016 09:49:21 am

222222 6
2222211 7
22221111 8
222111111 9
2211111111 10
21111111111 11
111111111111 1
I worked out that each number has to go into each place. So I counted all the places and added them together to make 64.

Reply
Sanaa
14/4/2016 09:49:44 am

He can do 1,2,2,2,2,2,1 or 1,2,1,2,1,2,1,2 or 2,2,2,1,1,1,1,1,1 or 2,1,1,1,1,1,1,1,1,1,1 or 2,2,2,2,2,2, or 1,1,1,1,1,1,1,1,1,1,1,1 or1,1,2,1,1,2,1,1,2 or 2,2,1,1,1,1,2,2, or 1,1,1,1,1,2,1,1,1,1,1 or 2,2,1,2,2,1,2 or 1,1,1,2 1,1,1,2,1,1.

Reply
Junaid
14/4/2016 09:50:41 am

Some of the possible combinations can be:
111111111111
11111111112
1111111122
111111222
11112222
1122222
222222
21111111111
2211111111
222111111
22221111
2222211
222222
21212121
12121212
2122122
12122122
2221122
12122121

Reply
Abdullah & Hasan
14/4/2016 09:50:59 am

1:1,2,1,2,1,2,1,2.
2:1,1,2,2,1,1,2,2
3:2,1,2,1,2,1,2,1
4:1,1,1,1,1,1,2,2,2,1
5:2,2,2,2,2,2
6:1,1,1,1,1,1,1,1,1,1,1,1
7:2,2,2,2,2,1,
8:1,2,2,1,2,2,2
9:2,1,1,2,1,1,2,1,1
10:2,2,2,2,1,1,1,1

Reply
Abdullah and Hasan
14/4/2016 09:54:36 am

1,1,1,1,1,1,1,1,2,2

Reply
Mohammad Izan and Mohammed Riaz
14/4/2016 09:52:24 am

2,2,2,2,2,2
1,1,1,1,1,1,,1,1,1,1,1,1
2,2,2,2,2,2
1,2,,1,2,1,2,1,2
2,1,2,1,2,1,2,1
1,1,1,1,1,1,1,1,1,1,2
1,2,2,1,2,2,1,1
1,1,1,1,2,2,2,2
2,2,2,2,2,1,1,1

Reply
Sanaa
14/4/2016 09:53:26 am

2,2,2,2,1,1,2,2,2. I have worked it out by Starting every sum with 1 if they are all done then I worked it out by using 2 .

Reply
Aasiya Iqbal
14/4/2016 09:55:31 am

I think there is actually more than 200 ways as each number has to go into every place to find every possibility.

Reply
Houd
14/4/2016 09:58:01 am

I found:
2,2,1,1,1,2,2,1
2,1,2,2,,2,2,2
1,1,2,2,2,1,2,1
2,2,2,2,1,1,2
1,1,1,2,1,1,2

Reply
Qaalid
14/4/2016 09:59:10 am

My combinations are:
1).2,2,2,2,2,2
2).1,1,1,1,1,1,1,1,1,1,1,1
3).2,1,2,1,2,1,2,1
4).1,2,1,2,1,2,1,2
5).1,1,1,1,2,2,2,2
6).2,2,2,2,1,1,1,1
7).1,1,1,1,1,1,1,1,1,1,2
8).2,1,1,1,1,1,1,1,1,1,1
9).2,2,2,2,2,1,1
10)1,1,2,2,2,2,2
11).2,2,2,1,1,1,1,2
12).2,1,1,1,1,2,2,2
13)2,2,2,1,1,2,2
14).2,2,1,1,2,2,2

Reply
Hannah
14/4/2016 09:59:30 am

1,1,1,12,2,2,1,1. 1,1,2,2,1,1,2,2. 2,2,2,1,1,1,1,1,1. 2,1,2,1,2,1,2,1
1,1,1,1,1,1,1,1,2,2. 2,2,1,1,1,1,1,1,1,1. 2,2,1,1,2,2,2. 2,2,2,2,21,1.
1,1,1,1,1,1,1,1,1,1,2. 1,2,1,,2,1,2,1,2. 1,1,1,1,1,1,2,2,2. 2,2,2,2,2,2,
1,1,1,1,1,1,1,1,1,1,1,1. 1,2,1,2,2,1,2,1. 2,1,2,2,1,2,2

Reply
Madiha and Maryam
14/4/2016 10:00:14 am

We have found 20 solutions:
1) 1,1,1,1,1,1,1,1,1,1,2
2) 1,1,1,1,1,1,1,1,2
3) 1,1,1,1,1,1,2,2,2
4) 1,1,1,1,2,2,2,2
5) 1,1,2,2,2,2,2
6). 1,2,1,2,1,2,1,2
7) 2,1,2,1,2,1,2,1
8) 2,2,1,2,1,2,2
9) 1,1,2,1,1,2,1,1,2
10) 1,1,1,2,1,1,1,2,1,1
11) 2,2,2,1,2,2,1
12) 1,2,2,1,1,2,1,2
13) 2,1,1,2,1,1,2,1,1
14) 1,1,2,2,2,1,1
15) 2,2,1,1,2,2,1,1
16) 1,1,1,1,1,1,1,1,1,1,1,1
17) 2,2,2,2,2,2
18) 1,2,2,1,1,2,1,1,1
19) 2,1,1,1,1,1,1,1,1,2
20) 1,1,1,1,1,2,1,2,1,1
There are sure to be many more solutions but these are the ones we found.

Reply
Saihaan
14/4/2016 10:01:05 am

I found 15 ways.

Reply
Mohammad Izan and Mohammed Riaz
14/4/2016 10:02:34 am

2,2,1,1,1,1,1,1,1,1
2,2,2,1,1,1,1,1,1
2,2,2,2,1,1,1,1
We worked it out systematically.

Reply
Sanaa
14/4/2016 10:02:53 am

1222221
2,1111111111

Reply
Faatimah H
14/4/2016 10:02:54 am

111111111111
222222
12121212
21212121
111111222
222111111
1122222
1222221
2221122
11112222
22221111
211111122
2211111111
2111111112
21111111111
11111111112
1111111122
2222211
1122222
2112222
2211222
2212122
2121222
2221212
2222121
1212222

Reply
Hadiyah
14/4/2016 11:27:01 am

Here are 50 that I made:-
111111111111
222222
12121212
12121122
22112121
2221122
2211222
12122112
21122121
1221111111
1111111221
1111221111
2111111112
11122212
21222111
21211122
12122211
22111212
11122221
12222111
22111122
21211212
12122121
12211221
21122112
21212121
12121212
22221111
1111222
22112211
11221122
11122212
21222111
2211121
1211122
22211112
21111111111
2211111111
222111111
22221111
2222211
11111111112
21111222
1111111122
111111222
11112222
1122222
21121221
1222221
2111111112
1111221111

Reply
Amina
25/4/2016 01:44:38 pm

I didn't know people would contemplate so in depth about how they were going to travel on stairs

Reply
Zainab N
25/4/2016 01:47:40 pm

Is there a way to work out this question or do you just have to keep on finding solutions and possibilities??

Reply

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