Math Test 2012


1. A natural number is a palindrome if its digits read the same from left to right as they do from right to left. For example, 3521253 is a palindrome. How many 3­digit numbers are palindromes that are divisible by 11?
(A) none of them are divisible by 11
(B) 4
(C) 8
(D) 22
(E) 90

2. Triangle ABC has area 12. If side AB has length 6 and side BC has length 5, what must be the length of side AC?
(A) 5
(B) 37
(C) 97
(D) 109
(E) More than one answer is possible with the given information.

3. A club with 15 members must choose a delegation of 4 members to serve at a convention. Team members Jacob and Sarah refuse to serve on a delegation together. How many delegations are possible?
(A) 130
(B) 143
(C) 156
(D) 169
(E) None of the above

4. If
then
(A) 64
(B) 27
(C) 8
(D)127/64
(E) 1

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