Sat Math Hard Practice Quiz Worksheet With Answer Key Page 9

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SAT Math Hard Practice Quiz
3. Let a, b, and c be positive integers. If the average (arith-
Data, Statistics, and Probability
metic mean) of a, b, and c is 100, which of the following
is NOT a possible value of any of the integers?
1. The first term of a sequence is the number n, and each
term thereafter is 5 greater than the term before. Which
of the following is the average (arithmetic mean) of the
(A)
1
first nine terms of this sequence?
(B)
100
(C) 297
(D) 298
(A) n + 20
(E)
299
(B)
n + 180
(C) 2n
(D) 2n + 40
(E)
9n + 180
4. M is a set consisting of a finite number of consecutive
integers. If the median of the numbers in set M is equal
to one of the numbers in set M , which of the following
must be true?
I.
The average (arithmetic mean) of the
numbers in set M equals the median.
II. The number of numbers in set M is odd.
III. The sum of the smallest number and the
largest number in set M is even.
2. The average (arithmetic mean) of a particular set of
seven numbers is 12. When one of the numbers is re-
(A) I only
placed by the number 6, the average of the set increases
(B)
II only
to 15. What is the number that was replaced?
(C) I and II only
(D) I and III only
(E)
I, II, and III
(A)
20
(B)
15
(C)
12
(D)
0
(E)
12
pg. 9

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