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.
CHECK SCHEDULE

2012 AMC 10B Problems

Revision as of 19:48, 23 February 2012 by Glaydus (talk | contribs) (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...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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?

$\textbf{(A)}\ 48\qquad\textbf{(B)}\ 56\qquad\textbf{(C)}\ 64\qquad\textbf{(D)}\ 72\qquad\textbf{(E)}\ 80$

Solution

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?

$\textbf{(A)}\ 50\ \text{by}\ 4\qquad\textbf{(B)}\ \ 100\ \text{by}\ 6\qquad\textbf{(C)}\ \ 125\ \text{by}\ 8\qquad\textbf{(D)}\ 150\ \text{by}\ 4\qquad\textbf{(E)}\ 200\ \text{by}\ 8$

Solution

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?

$\textbf{(A)}\ (998,2012)qquad\textbf{(B)}\ (1000,1988)\qquad\textbf{(C)}\ (1000,2024)\qquad\textbf{(D)}\ (1000,4012)\qquad\textbf{(E)}\ (1012,2012)$

Solution