The sum of four consecutive odd integers w, x, y and z is 24' What is the median of the set w, x, y,

1
The sum of four consecutive odd integers w, x,
yand z is 24. What is the median of the setw,
x, y, z, 24?
Let x be the smallest odd integer.

• 3
• 4
• 7
• 9
• 24

The other integers are x2, x4, x6.
x (x2) (x4) (x6) 24
4x12 24
4x 12
x 3
The median is 7. Choose (c) ?
The mean of a group of numbers is found by
summing them, and then dividing by the number of
items in the group
2
Overlapping Figures
AB, BC, and AC are diameters of the three circles
shown above, If BC 2 and AB 2BC, what is the
area of the shaded region? (A) 12p (B) 6p (C)
9/2p (D) 3p (E) 2p
C
?
?
?
A
C
B
B
We now have 2.5p for the bottom half part of the
shaded region and must add half of the small
circle (.5p)
4.5p ? 2p 2.5p .5p Shaded region 3p ?
These problems frequently involve circles, so
start with finding the radius. Dont forget the
two important formulas C 2p and A pr2.
(D)?
3
A Circle has 360?
Because all of the triangles are equilateral we
know every angle must be 60?
Since a circle has 360?, (x60)(y60)(z60)
360 xyz180 360
360 ? 180 180 xyz 180 ?

• In the figure above, if the three equilateral
  triangles have a common vertex, then x y z
• 90 (B) 120 (C) 180 (D) 360
• (E) It cannot be determined from the information
  given

(C)?