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Which of the following statements is false?
Bishop's Paradise
Age 11 to 14
ShortChallenge Level 
Which of the following statements is false?
A An octagon has $20$ diagonals
B A hexagon has $9$ diagonals
C A hexagon has $4$ more diagonals than a pentagon
D A pentagon has the same number of diagonals as it has sides
E A quadrilateral has twice as many diagonals as it has sides
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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