MathDB

4

Part of 2006 AMC 10

Problems(2)

Digital watch

Source: AMC 12 2006A, Problem 4

2/5/2006
A digital watch displays hours and minutes with cAM \text c{AM} and cPM \text c{PM}. What is the largest possible sum of the digits in the display? <spanclass=′latex−bold′>(A)</span>17<spanclass=′latex−bold′>(B)</span>19<spanclass=′latex−bold′>(C)</span>21<spanclass=′latex−bold′>(D)</span>22<spanclass=′latex−bold′>(E)</span>23 <span class='latex-bold'>(A) </span> 17\qquad <span class='latex-bold'>(B) </span> 19\qquad <span class='latex-bold'>(C) </span> 21\qquad <span class='latex-bold'>(D) </span> 22\qquad <span class='latex-bold'>(E) </span> 23
AMC
Circular ratios

Source: AMC 10 2006B, Problem 4

2/17/2006
Circles of diameter 1 inch and 3 inches have the same center. The smaller circle is painted red, and the portion outside the smaller circle and inside the larger circle is painted blue. What is the ratio of the blue-painted area to the red-painted area? <spanclass=′latex−bold′>(A)</span>2<spanclass=′latex−bold′>(B)</span>3<spanclass=′latex−bold′>(C)</span>6<spanclass=′latex−bold′>(D)</span>8<spanclass=′latex−bold′>(E)</span>9 <span class='latex-bold'>(A) </span> 2 \qquad <span class='latex-bold'>(B) </span> 3 \qquad <span class='latex-bold'>(C) </span> 6 \qquad <span class='latex-bold'>(D) </span> 8 \qquad <span class='latex-bold'>(E) </span> 9
ratiogeometryAMC