... an even number with an odd number of letters? 
... a square number with a prime number of letters? 
... a cube number with a triangular number of letters? 
... an odd number with an even number of letters? 
... a prime number with a square number of letters? 
... a triangular number with a cube number of letters? 
Extension: Which numbers have the same number of letters as their value? 
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... an even number with an odd number of letters? 2 
... a square number with a prime number of letters? 1 
... a cube number with a triangular number of letters? 1 
... an odd number with an even number of letters? 5 
... a prime number with a square number of letters? 5 
... a triangular number with a cube number of letters? 66 
The answer to the extension is only 4.
What about other languages.
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access to computers? 

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In the game Scrabble, which number when played as a word is the same as its score?
Here is a list of the points available for the letter tiles:
(1 point)A, E, l, O, U, L, N, S, T, R
(2 points)D, G
(3 points)B, C, M, P
(4 points)F, H, V, W, Y
(5 points)K
(8 points)J, X
(10 points)Q, Z
The answer to 'Another Extension' is 12.