6道SAT数学选择题练习(含答案)
下面是为大家准备的2014年1月4日—2014年1月1日的6道SAT考试数学选择题练习题。同学们在备考SAT数学的过程中,一定要加强习题的练习,熟练到能充分理解题意,争取得到满分。
1.Addto
and then subtract
from thesum. If
is a positive integer, the result must be aninteger multiple of
(A)
(B)
(C)
(D)
(E)
2.A machine can insert letters in envelopes at the rate ofper minute. Another machinecan stamp the envelopes at the rate of
per second. How many such stamping machines areneeded 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 perpendicularto 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 theprobability 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 formulafor 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)
下面是为大家准备的2014年1月4日—2014年1月1日的6道SAT考试数学选择题练习题。同学们在备考SAT数学的过程中,一定要加强习题的练习,熟练到能充分理解题意,争取得到满分。
1.Addto
and then subtract
from the sum. If
is a positive integer, the result mustbe an integer multiple of
(A)
(B)
(C)
(D)
(E)
2.A machine can insert letters in envelopes at the rate ofper minute. Another machinecan stamp the envelopes at the rate of
per second. How many such stamping machines areneeded 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 perpendicularto 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 theprobability 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 formulafor 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)
参考答案及解析:
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 persecond. One inserting machine inserts letters at the rate of
per
seconds, or
persecond. 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 persecond. 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 ofthe slope of line
. Therefore, the slope of line
is
.
4.The correct answer is C
Explanation
Ifand
, then
. The numbers from the listed set thatsatisfy these inequalities are
and
. There are five elements in the listed set, so theprobability of a number chosen at random from the set being a member of the solution setof 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 doknow the values of the
,
, and
terms. The correct formula must give
as the valueof 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
, asthe 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
.
以上就是关于6道SAT考试数学选择题练习题及其答案和解析,非常详细。同学们在备考阶段,一定要加强习题的练习以及题意的理解,争取SAT数学满分。