下面是為大家準備的2014年1月4日—2014年1月1日的6道SAT考試數學選擇題練習題。同學們在備考SAT數學的過程中,一定要加強習題的練習,熟練到能充分理解題意,爭取得到滿分。
1.Addto
and then subtract
from the sum. If
is a positive integer, the result must be an integer multiple of
(A)
(B)
(C)
(D)
(E)
2.A machine can insert letters in envelopes at the rate ofper minute. Another machine can stamp the envelopes at the rate of
per second. How many such stamping machines are needed to keep up with
inserting machines of this kind?
(A)
(B)
(C)
(D)
(E)
3.In the-plane, line
passes through the points
and
. Line
is perpendicular to line
. What is the slope of line
?
(A)
(B)
(C)
(D)
(E)
4.If a number is chosen at random from the set, what is the probability that it is a member of the solution set of both
and
?
(A)
(B)
(C)
(D)
(E)
5.The first term of the sequence above is. Which of the following could be the formula for finding the
term of this sequence for any positive integer
?
(A)
(B)
(C)
(D)
(E)
6.Ifpercent of
is greater than
, which of the following must be true?
(A)
(B)
(C)
(D)
(E)
下面是為大家準備的2014年1月4日—2014年1月1日的6道SAT考試數學選擇題練習題。同學們在備考SAT數學的過程中,一定要加強習題的練習,熟練到能充分理解題意,爭取得到滿分。
1.Addto
and then subtract
from the sum. If
is a positive integer, the result must be an integer multiple of
(A)
(B)
(C)
(D)
(E)
2.A machine can insert letters in envelopes at the rate ofper minute. Another machine can stamp the envelopes at the rate of
per second. How many such stamping machines are needed to keep up with
inserting machines of this kind?
(A)
(B)
(C)
(D)
(E)
3.In the-plane, line
passes through the points
and
. Line
is perpendicular to line
. What is the slope of line
?
(A)
(B)
(C)
(D)
(E)
4.If a number is chosen at random from the set, what is the probability that it is a member of the solution set of both
and
?
(A)
(B)
(C)
(D)
(E)
5.The first term of the sequence above is. Which of the following could be the formula for finding the
term of this sequence for any positive integer
?
(A)
(B)
(C)
(D)
(E)
6.Ifpercent of
is greater than
, which of the following must be true?
(A)
(B)
(C)
(D)
(E)
參考答案及解析:
1.The correct answer is B
Explanation
The mathematical expression given in the question is, which is equivalent to
. The expression
can be factored as
. For every positive integer
,
must be a multiple of
. If
, then
, which is not an integer multiple of
,
,
, or
. Therefore, the correct answer is
.
2.The correct answer is A
Explanation
First you can changeminute to
seconds so that the ratios are both in envelopes per second. One inserting machine inserts letters at the rate of
per
seconds, or
per second. So
machines would insert
letters per second.
Letbe the number of stamping machines needed to keep up with
inserting machines. Then, since one machine stamps
envelopes per second,
machines stamp
envelopes per second. You can write the equation
, which gives
.
3.The correct answer is B
Explanation
Linepasses through the points
and
, so the slope of line
is equal to
. Lines
and
are perpendicular, so the slope of line
is equal to the negative reciprocal of the slope of line
. Therefore, the slope of line
is
.
4.The correct answer is C
Explanation
Ifand
, then
. The numbers from the listed set that satisfy these inequalities are
and
. There are five elements in the listed set, so the probability of a number chosen at random from the set being a member of the solution set of both inequalities is
.
5.The correct answer is B
Explanation
You do not know the value of theterm or the
term of the sequence, but you do know the values of the
,
, and
terms. The correct formula must give
as the value of the
term,
as the value of the
term, and
as the value of the
term. Choice E,
, gives
, not
, as the value of the
term. Choice A,
, gives
, not
, as the value of the
term. Choice C,
, gives
, not
, as the value of the
term. Choice D,
, gives
, not
, as the value of the
term. This leaves choice B,
, which gives the correct values for the
,
, and
terms of the sequence.
6.The correct answer is A
Explanation
Ifpercent of
is greater than
, then
. It follows that
, and so
.
以上就是關于6道SAT考試數學選擇題練習題及其答案和解析,非常詳細。同學們在備考階段,一定要加強習題的練習以及題意的理解,爭取SAT數學滿分。