Table total
Can you find the sum of all of the numbers in the table?
Age
14 to 16
Challenge level
Problem
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In each row of the table, the third cell contains the sum of the contents of the first two cells.
In each column of the table, the third cell contains the sum of the contents of the first two cells.
This problem is adapted from the World Mathematics Championships
What total would you get if you added up the contents of all nine cells?
This problem is adapted from the World Mathematics Championships
Student Solutions
Answer: 64
Adding up all of the numbers and symbols in the table
Total =
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= 3$\times$
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Bottom row (or last column):
(
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Then, multiplying by 3,
3$\times$
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So Total = 12 + 52 = 64
Using the rules in the table to find the total
Reds add up to 16
Yellows add up to 16 Purples add up to yellows
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Total = 16$\times$4 = 64