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I have left you some number puzzles on the blackboard. Solve them and let me know what they spell.

16 Math Puzzles

Hint:

The final answer is two words and is something from Harry Potter

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2 Answers 2

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The answer is

TUTSHILL TORNADOS

The individual answers, starting from top left and moving right, are

19 (subtract 19 each time)
20 (multiply by 5)
19 (a^2 + b)
18 (sum of 2 opposite triangles)
7 (multiply 2 vertices, divide by left vertice)
8 (square of opposite number minus 1)
11 (sum of adjacent sides)
11 (a*b + a + b)
19 (circle is 4, triangle is 2, rectangle is 1)
14 (base 8)
17 (rotate 180 degrees)
13 (sum of opposites minus bottom right gives top left)
0 (just calculate)
3 (just algebra)
14 (just calculate)
18 (sum of two left diagonals gives number on top)

Then use A-Z = 0-25.

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Solving the number puzzles:

  1. $19$ (descending multiples of 19)

  2. $20$ (multiplying the left number by 5 to get the right one)

  3. $19$ (square of first number plus second number gives third number)

  4. $18$ (each outer number is the sum of the two inner numbers furthest from it)

  5. $7$ (bottom left of each triangle is the product of the other two divided by 2)

  6. $8$ (each larger number is the square of the opposite smaller number minus 1)

  7. $11$ (each larger number is the sum of the two adjacent smaller numbers)

  8. $11$ (add 1 to everything and this becomes simply products)

  9. See Jens's answer - I didn't manage to get this one.
  10. $14$ (base 8 on the left, base 10 on the right)

  11. See Jens's answer - I didn't manage to get this one.
  12. $13$ (both diagonals give the same sum)

  13. $0$ (direct calculation)

  14. $3$ (solving the first two equations gives A=30 and B=10)

  15. $14$ (direct calculation)

  16. $18$ (moving from southwest to northeast by making each new cell the sum of the two touching it)

Turning the numbers into letters:

S T S R
G H K K
S N Q M
C N R

The final step, motivated by the appearance of

no vowels, but quite a few letters that precede vowels, like S and N (this also explains the mysterious zero),

is to

add 1 to all the numbers (or Caesar-shift the letters by 1) to get:

T U T S
H I L L
T O R N
A D O S

yielding the solution.

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