Amc 10 b amc 12 b problem 10 working together they

2008 AMC 10 B, Problem #18 —
2008 AMC 12 B, Problem #10 —
“Working together they can lay ( n
9
+ n
10
- 10) bricks in an hour,
where n is the total number of bricks in the chimney.”
Difficulty: Medium-hard
NCTM Standard: Algebra Standard: represent and analyze mathematical situations and
structures using algebraic symbols.
Mathworld.com Classification: None

A cylindrical tank with radius 4 feet and height 9 feet
is lying on its side. The tank is filled with water to a
depth of 2 feet. What is the volume of the water, in
cubic feet?
3
2008 AMC 10 B, Problem #19 —
“Draw the cross section of the cylinder, find out the
area of circle that is filled with water.”
Mathworld.com Classification: Geometry > Solid Geometry > Cylinders > Cylinder
Geometry > Plane Geometry > Arcs > Circular Sector

The faces of a cubical die are marked with the numbers
1, 2, 2, 3, 3, and 4. The faces of a second cubical
die are marked with the numbers 1, 3, 4, 5, 6, and
8. Both dice are thrown. What is the probability that
the sum of the two top numbers will be 5, 7, or 9 ?
9