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Difference between revisions of "2012 AMC 10B Problems"
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A circle of radius 5 is inscribed in a rectangle as shown. The ratio of the length of the rectangle to its width is 2:1. What is the area of the rectangle? | A circle of radius 5 is inscribed in a rectangle as shown. The ratio of the length of the rectangle to its width is 2:1. What is the area of the rectangle? | ||
| − | <math> \textbf{(A)}\ 50\qquad\textbf{(B)} | + | <math> \textbf{(A)}\ 50\qquad\textbf{(B)}\ 100\ qquad\textbf{(C)}\ 125\qquad\textbf{(D)}\ 150\qquad\textbf{(E)}\ 200 </math> |
[[2012 AMC 10B Problems/Problem 2|Solution]] | [[2012 AMC 10B Problems/Problem 2|Solution]] | ||
| Line 19: | Line 19: | ||
The point in the xy-plane with coordinates (1000, 2012) is reflected across the line y=2000. What are the coordinates of the reflected point? | The point in the xy-plane with coordinates (1000, 2012) is reflected across the line y=2000. What are the coordinates of the reflected point? | ||
| − | <math> \textbf{(A)}\ (998,2012)qquad\textbf{(B)}\ (1000,1988)\qquad\textbf{(C)}\ (1000,2024)\qquad\textbf{(D)}\ (1000,4012)\qquad\textbf{(E)}\ (1012,2012) </math> | + | <math> \textbf{(A)}\ (998,2012)\qquad\textbf{(B)}\ (1000,1988)\qquad\textbf{(C)}\ (1000,2024)\qquad\textbf{(D)}\ (1000,4012)\qquad\textbf{(E)}\ (1012,2012) </math> |
[[2012 AMC 10B Problems/Problem 3|Solution]] | [[2012 AMC 10B Problems/Problem 3|Solution]] | ||
Revision as of 19:50, 23 February 2012
Problem 1
Each third-grade classroom at Pearl Creek Elementary has 18 students and 2 pet rabbits. How many more students than rabbits are there in all 4 of the third-grade classrooms?
Problem 2
A circle of radius 5 is inscribed in a rectangle as shown. The ratio of the length of the rectangle to its width is 2:1. What is the area of the rectangle?
Problem 3
The point in the xy-plane with coordinates (1000, 2012) is reflected across the line y=2000. What are the coordinates of the reflected point?
