GET READY FOR THE AMC 10 WITH AoPS
Learn with outstanding instructors and top-scoring students from around the world in our
AMC 10 Problem Series online course.
Difference between revisions of "2012 AMC 10B Problems"
(Created page with "== 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-grad...") |
|||
Line 11: | Line 11: | ||
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 | + | <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]] |
Revision as of 19:49, 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?
$\textbf{(A)}\ 50\qquad\textbf{(B)}\ \100\ qquad\textbf{(C)}\ 125\qquad\textbf{(D)}\ 150\qquad\textbf{(E)}\ 200$ (Error compiling LaTeX. Unknown error_msg)
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?