下面是三道SAT数学题及其答案的相关信息，全部来自SAT考试官方网站，所以对于大家的SAT数学备考有很强的参考价值。下面我们就一起来看看这三道SAT数学题的问题方式和解答方式有哪些不同之处吧。
Mathematics > Standard Multiple Choice
Read the following SAT test question and then click on a button to select your answer.
1、At Central High School, the math club has 
members and the chess club has
members. If a total of 
students belong to only one of the two clubs, how many students belong to both clubs?
Answer Choices
(A) 
(B) 
(C) 
(D) 
(E) 
The correct answer is C
Explanation
Let 
stand for the number of students who belong to both clubs. The 
members of the math club can be broken down into two groups: those who are in both clubs (there are 
students in this category) and those who are in the math club only (there are 
students in this category).
The 
members of the chess club can also be broken down into two groups: 
students who are in both clubs and 
students who are in the chess club only.
Since a total of 
students belong to only one of the two clubs, you know that 
. Solving this equation gives 
, so 
students belong to both clubs。
2、If 
is divisible by 
, 
, and 
, which of the following is also divisible by these numbers?
Answer Choices
(A) 
(B) 
(C) 
(D) 
(E) 
The correct answer is D
Explanation
Since 
is divisible by 
, 
, and 
, 
must be a multiple of 
, as 
is the least common multiple of 
, 
, and 
. Some multiples of 
are 
, 
, 
, 
, and 
.
If you add two multiples of 
, the sum will also be a multiple of 
. For example, 
and 
are multiples of 
and their sum, 
, is also a multiple of 
.
If you add a multiple of 
to a number that is not a multiple of 
, the sum will not be a multiple of 
. For example, 
is a multiple of 
and 
is not. Their sum, 
, is not a multiple of 
.
The question asks which answer choice is divisible by 
, 
, and 
; that is, which answer choice is a multiple of 
. All the answer choices are in the form of "
plus a number." Only choice (D), 
, has 
added to a multiple of 
. The sum of
and 
is also a multiple of 
, so the correct answer is choice (D).
3、In an 
solution of water and alcohol, the ratio by mass of water to alcohol is 
to 
. If 
grams of a solution consisting of 
grams water for each gram of alcohol is added to the 
solution, what fraction by mass of the new solution is alcohol?
Answer Choices
(A) 
(B) 
(C) 
(D) 
(E) 
The correct answer is B
Explanation
To find what fraction by mass of the new solution is alcohol, you can find how many grams of alcohol are in the final solution of 
grams. Since the 
solution is 
part alcohol to 
parts water, it is 
alcohol. So it contains 
grams of alcohol. Similarly, the 
solution is 
alcohol by mass, so it contains 
grams of alcohol. Thus, the final 20-gram solution contains 
grams of alcohol, so 
, or 
, of it is alcohol.
以上就是这三道SAT数学题的全部内容，每一道SAT数学题后都附有答案解析，非常详细。SAT数学备考的过程就是大家不断做题熟悉考试形式的过程，所以大家在备考SAT数学考试的时候，重点一定要放在掌握SAT数学出题方式上。
更多SAT数学相关：
一道SAT数学计算题
SAT数学选择题解题方法三点
一道SAT数学题(抛物线)
