DIY Challenge 4: The magician knows the sum
Below is a grid of numbers. The magician asks you to cover any 4 numbers in a line. He claims that he can tell the sum (total) of all the 4 numbers you have covered.
How do you think is he doing it? Are there any patterns you see in the grid?
Below is the complete original grid of numbers.
What students worked out11
Student 1
It’s easy to figure it out because the four numbers keep reappearing
Student 1
It’s easy to figure it out because the four numbers keep reappearing
Student 14
The numbers here repeat, like a sudoku.
Student 2
sir, we can do it as the numbers are repeating
Student 11
It is very easy, numbers are repeating like others said.
Student 3
sequence is repeating after every 5 digits
Student 4
Very easy…1st 5 digits in every row are repeating as many times as possible
E.G. in the 2nd row,
[10559] [10559] [10]same with columns
Student 15
sir in this grid there are numbers which are adding up together in each way (horizontally and vertically) to give a number that is coming after
Student 15
for example (as shown in the question): 10+5=15 and 5+5=10
while for the next one: sir in this we also need to subtract and in this it has shown 66-55=11 and (66+22)-99=11Student 15
so in this sir both addition and subtraction is involved
Student 9
There are 2 answers. 1st is because the numbers repeat in every row and column. The 2nd is because if you split 15 into 4 numbers in the grid it will be 5 _ _ _ _ 5
5 9 1 0
and for 11 it will be 9
_ 3
_ 4
_ 2
_2