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Task: My tasks are too:
1) Find the product of the top left number and the bottom right
number in this box.
2) Do the same with the top right and bottom left numbers.
3) Calculate the difference between these products.
1) I will firstly calculate the product of the top left number and the
bottom right number:
12 x 23 = 276
I will then do the same with top right and bottom left numbers:
13 x 22 = 286
I will now calculate the difference between these two numbers:
286_
276
10
2) I will now investigate further, by doing the next set of numbers:
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I will now calculate the product of the top left number and the bottom
right number:
13 x 24 = 312
I will then do the same with top right and bottom left numbers:
14 x 23 = 322
I will now calculate the difference between these two numbers:
322_
312
10
3) I will now do the next set of numbers:
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I will now calculate the product of the top left number and the bottom
right number:
14 x 25 = 350
I will then do the same with top right and bottom left numbers:
15 x 24 = 360
I will now calculate the difference between these two numbers:
360_
350
10
4) I will now do the next set of numbers:
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I will now calculate the product of the top left number and the bottom
right number:
15 x 26 = 390
I will then do the same with top right and bottom left numbers:
16 x 25 = 400
I will now calculate the difference between these two numbers:
400_
390
10
5) I will now put the results into a table and do an analysis of the
data to see if there are any patterns. Then I can make a prediction
for the next set of results:
Product of the top left number and the bottom right number:
The difference between each answer:
Product of the top right number and bottom left number:
The difference between each answer:
The difference between these two numbers:
First set of numbers:
12 x 23 = 276
312_
276
36
13 x 22 = 286
322_
286
36
286_
276
10
Second set of numbers:
13 x 24 = 312
350_
312
38
14 x 23 = 322
360_
322
38
322_
312
10
Third set of numbers:
14 x 25 = 350
390_
350
40
15 x 24 = 360
400_
360
40
360_
350
10
Fourth set of numbers:
15 x 26 = 390
16 x 25 = 400
400_
390
10
6) I have found a pattern. This is what the patterns look like:
276 312 350 390
[image001.gif] [image001.gif] [image001.gif]
36 38 40
[image002.gif] [image002.gif]
2 2
286 322 360 400
[image001.gif] [image001.gif] [image001.gif]
36 38 40
[image002.gif] [image002.gif]
2 2
The second sets of numbers are the differences between the numbers on
the first row. On the third row, these numbers are the differences