SAT Subject Test Mathematics Level 2

The probability of  independent events  occurring   is  the product of  the separate    probabilities:

.

14 . C
You can use your calculator. , so 2 A = 30° and A = 15°. Now use your
calculator to find that . But the solution’s even quicker if you remember
the double-angle sine formula:

sin 2A  =   2sin    A   cos A

Therefore,

15 . E

The expression  will    be  undefined   when    the denominator is  zero    or  when    the expression

under   the radical is  negative.   The denominator is  zero    when

The expression  under   the radical is  negative    when

So  the expression  is  undefined   for all x ≤ −1.

16 . B
You can think this one through conceptually. The expression 1 − x^2 will be at its maximum
when the x^2 that’s subtracted from the 1 is as small as it can be. The square of a real number
can’t be any smaller than 0—and x = 0 is within the specified domain—so

maximum =   1   −   0^2     =   1