Sat Math Medium Practice Quiz With Answer Key Page 10
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16SAT Math Medium Practice Quiz Answers
8. 20
(Estimated Difficulty Level: 3)
11. 1
(Estimated Difficulty Level: 3-)
First, you need to remember that d = rt (distance =
The only number that is neither positive nor negative
is zero. This means that the integer in question is equal
rate × time). Next, find Amy’s walking rate in yards
per second. Amy can walk 3600 feet (1200 yards) in 10
to its own square, which can only be true if the integer
minutes (600 seconds). Her walking rate is then r =
is 1.
d/t = 1200/600 = 2 yards per second. In 10 seconds,
she can walk 20 yards.
You could also set up a proportion:
12. D
(Estimated Difficulty Level: 3+)
1200
d
=
.
Plug in a prime number for p, and see which of the
600
10
answers is also prime. (Hint: memorize the first few
After cross-multiplying, you will find that d = 20.
primes. You will probably want to try more than one
prime number for this question.) Since there is only one
correct answer, four of the answers given can never be
prime numbers when p is prime. You’ll see that answer
D is the only one that can result in more prime numbers.
9. E
(Estimated Difficulty Level: 3-)
How to do this problem without plugging in numbers?
Since the numbers of dots on opposite faces of the cube
Notice that answer A isn’t even an integer (unless p = 2,
sum to 7, the face with four dots must be opposite the
but then p/2 = 1 isn’t prime). Answers B and E are
face with three dots.
always even and greater than 2, so these answers can
never be prime. Answer C can always be divided by p,
so it is never prime. The only answer remaining is D,
so it must be correct.
The view of the die in answer E as shown above cannot
be possible, since the face with three dots and the face
13. A
(Estimated Difficulty Level: 3)
with four dots are visible. These faces are not oppo-
site each other in this view, so this is not a view of a
The first four terms are m, 2m, 4m, and 8m. Plug
standard die.
in easy numbers for m to see what the sum is. For
example, if m = 1, the sum is 1 + 2 + 4 + 8 = 15. If
m = 2, the sum is 2 + 4 + 8 + 16 = 30. You will see
that the sums are always multiples of 15, so answer A
10. C
(Estimated Difficulty Level: 3)
is correct since it isn’t a multiple of 15.
The even integers greater than two and less than twenty
Algebra mavens will notice that
are: 4, 6, 8, 10, 12, 14, 16, and 18. For each of these
integers, see if you can find two prime numbers (they
m + 2m + 4m + 8m = 15m,
could be the same or different) that add to the integer.
so that the sum of the first four terms is always a mul-
For example:
tiple of 15. This method is faster, but not everybody is
4 = 2 + 2
an algebra maven.
6 = 3 + 3
8 = 3 + 5
and so forth. You will find that all eight even integers
can be written as the sum of two primes, so that answer
C is correct.
pg. 10
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