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Be Like Prof Nash and find the Missing Numbers

May5

The sign below was taken at school camp this week (which may explain why there was not much activity on H3). This sign caught my attention as it has missing letters. We can try and work out what it is saying by trying missing consonants or missing vowels. We also know that the sign is at a beach and it may have something to do with the sand dune environment;
In a similar way, we are often given situations where there are missing numbers in a sequence. In order to complete the sequence we also have to look for patterns and try to work out the formula that the sequence is using. The most common “first approach” is to look at the gaps between the numbers to see if there is a regular difference. For example, in the sequence:

2,3,5,8, …  the gaps between each number goes: 1,2,3. Therefore, the gap after 8 will be 4 and the next number is 12.

There are lots of different ways to find missing numbers and it is a fun thing to do. Click here for some more ideas about missing numbers:

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y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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