SAT Mc Graw Hill 2011

254 MCGRAW-HILL’S SAT

SAT Practice 5:Connecting to Knowledge

1. If xis the average (arithmetic mean) of kand 10,
   and yis the average (arithmetic mean) of kand
   4, what is the average of xand y,in terms of k?

(A) (B) (C)

(D) 7k (E) 14k

2. If, on average, xcars pass a certain point on a
   highway in yhours, then, at this rate, how many
   cars should be expected to pass the same point
   in zhours?

(A) xyz (B) (C)

(D) (E)

Note:Figure not drawn to scale.

3. A straight 8-foot board is resting on a rectangular
   box that is 3 feet high, as shown in the diagram
   above. Both the box and the board are resting on a
   horizontal surface, and one end of the board rests
   on the ground 4 feet from the edge of the box. If h
   represents the height, in feet, of the other end of
   the board from the top of the box, what is h?

x

yz

xz

y

z

xy

xy

z

k+ 7

2

k+ 14

2

k+ 14

4

Key formula(s):

Key formula(s):

Key formula(s):

3 feet

4 feet

8 feet

h feet

....

1 2 3 4 5 7 8 9

6

1

0 2 3 4 5 7 8 9

6

1

0 2 3 4 5 7 8 9

6

1

0 2 3 4 5 7 8 9

6