Sat Math Medium Practice Quiz With Answer Key Page 9
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16SAT Math Medium Practice Quiz Answers
Numbers and Operations
4. C
(Estimated Difficulty Level: 3)
The least possible score in one game will occur when the
1. A
(Estimated Difficulty Level: 3)
player has scored the maximum possible (52 points) in
each of the other two games. These two games add to
You can solve this question by listing numbers divisible
104 points, leaving 141
104 = 37 points as the lowest
possible score for the remaining game.
by 7, and checking to see which of those numbers are
divisible by both 3 and 5. Some time later, you’ll realize
that no positive integer (that means greater than zero)
which is less than 100 can be divided by all three given
numbers.
5. D
(Estimated Difficulty Level: 3)
If you noticed that the three numbers are all different
2
primes, then a faster solution is to calculate the LCM
Plug in some integers to see the pattern: 1
1 = 0,
2
2
2
2
(least common multiple): 3 × 5 × 7 = 105. Since the
2
2 = 2, 3
3 = 6, 4
4 = 12, 5
5 = 20, and
LCM is greater than 100, the answer is A.
so forth. The units digits of these results are either 0,
2, or 6, making D the correct answer.
2. A
(Estimated Difficulty Level: 3)
6. 261
(Estimated Difficulty Level: 3)
Try different digits for the letters, until you get a three-
Try plugging in some real numbers until you get one of
digit number that works. Here, notice that X can only
the answers. For example, if you choose 4, then calcu-
be one of 2, 4, 6, or 8, since it is twice a digit. Since
2
late 2 × 4 + 4
+ 1 = 25. The answers don’t list 25, so
the biggest digit is 9, and Y is three times the value of
choose another integer to start with. If you choose 5,
X, only 2 works for X. This choice makes Y equal to
2
you’ll get 2 × 5 + 5
+ 1 = 36, so the answer is A.
6, and Z equal to 1, so the three-digit answer is 261.
If you are an algebra fiend, you may notice that if the
2
2
integer is x, then the calculation is 2x+x
+1 = (x+1)
,
so the final sum must be the square of an integer. Only
answer A is a perfect square.
7. C
(Estimated Difficulty Level: 3)
√
√
√
√
√
3
2
3
12
2
36
12
3
× 2
12 =
=
=
=
100
100
100
100
25
3. 33.3%
(Estimated Difficulty Level: 3)
so that the correct answer is C.
If you aren’t comfortable with radicals as above (for
Since “non-negative” means 0 and greater, there are 30
the SAT you really should be, you know), you can use
non-negative integers less than 30: 0, 1, 2, . . . , 29. Of
your calculator and then convert the decimal answer to
those, the ones that are prime are: 2, 3, 5, 7, 11, 13, 17,
a fraction.
19, 23, and 29. The answer is then 10/30×100 = 33.3%.
pg. 9
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