SAT数学题分成了选择题和计算题，相对于SAT数学选择题，答案还有一些提示的作用，SAT数学计算题就需要大家自己进行解答了。下面为大家推荐的这道SAT数学计算题是非常典型的代数方程类的题目，大家一起来看看吧。
What value of satisfies both of the equations above?
The correct answer is1/2 or .5
Explanation
Difficulty: Medium
Since , the value of is either or .
OR
The two values of that satisfy the first equation are and .
Since , the value of is either or .
OR
The two values of that satisfy the second equation are and .
You are asked to find the value of that satisfies both equations. That value is . The answer can be entered in the grid as or .
下面是两道SAT数学练习题，都是选择题，后面附有答案及其解析。SAT数学练习题可以让大家更快更好的了解SAT数学考试的出题方式以及应对方式。下面是详细内容，我们一起来看一下这些SAT数学练习题的吧。
1、Cone A has volume 24. When its radius and height are multiplied by the same factor, the cone’s surface area doubles. What is Cone A’s new volume?
(A)
(B)48
(C)
(D)96
(E)Not enough information to tell
2、A rectangle stands so that its 6 inch side lies flat against the ground. If the rectangle is rotated around the axis of one of its two 4 inch sides, what is the volume of the resulting cylinder?
(A)24?€
(B)36?€
(C)64?€
(D)96?€
(D)144?€
Answers
1、C
The formula for a cone‘s surface area is πr2 + πrl. A cone‘s volume is 1/ 3πr2h. So if the dimensions of a cone are multiplied by the same factor, a,
then its surface area multiplies by the square of that factor. If the dimensions of a cone are multiplied by the same factor, the volume becomes multiplied by the cube of that
factor:
In general, for solids, if each dimension of a cone is multiplied by the same factor, the solid‘s surface area is multiplied by the square of that factor, and its volume increases by the cube of that factor. If the surface area of Cone A doubles, its dimensions are multiplied
by a factor of Thus, the con e‘s volume is multiplied by a factor of Cone A‘s
new volume is
2、E
If the rectangle is rotated about a side of length 4, then the height of the cylinder will be 4 and the radius will be 6.
Once you visualize the cylinder, you can plug in the values for the volume of a cylinder:
一道SAT数学题(抛物线)
天道留学 https://www.doczj.com/doc/f511851867.html,时间：2011-08-26
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下面是一道关于抛物线的SAT数学题及其解法的内容，非常详细。SAT题中，抛物线是必考的一类，虽然中学课程都有所涉及，还是相对比较抽象，尤其是在理解SAT数学题的表达方式上。下面我们来看看这道关于抛物线的SAT数学题吧。
Read the following SAT test question and then click on a button to select your answer.
The quadratic function is graphed in the-plane above. If for all values of, which of the following could be the coordinates of point?
Answer Choices
(A)
(B)
(C)
(D)
(E)
The correct answer is C
Explanation
The fact that for all values of means that the point is the maximum of the quadratic function, so must be the vertex of the parabola. The parabola intersects the-axis at the points and, so must be halfway between and. Therefore,. Of the choices, the only one with
-coordinate equal to is. Therefore,could be the coordinates of point.
1. What is the length of the line segment in the x-y plane with end points at (-2,-2) and (2,3)?
A. 3
B. √31
C. √41
D. 7
E. 9
Correct Answer: C
解析:
Sketch a diagram and calculate the distance (hypotenuse of a right triangle) using Pythagoras theorem.
Vertical height of triangle = 5 ; horizontal side = 4 ; hypotenuse = √(25 + 16) = √41
2. n is an integer chosen at random from the set{5, 7, 9, 11 }
p is chosen at random from the set{2, 6, 10, 14, 18}
What is the probability that n + p = 23 ?
A. 0.1
B. 0.2
C. 0.25
D. 0.3
E. 0.4
Correct Answer: A
解析:
Each of the integers in the first set could be combined with any from the second set, giving a total of 4 x 5 = 20 possible pairs. Of these the combinations that could give a sum of 23 are (5 + 18), and (9 + 14). This means that the probability of getting a sum of 23 is 2/20 = 1/10
3. A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D ?
A. 0.75D
B. 0.76D
C. 0.765D
D. 0.775D
E. 0.805D
Correct Answer: C
解析:
If the price is reduced by 15 %, then the new price will be 0.85D. If this new price is further reduced by 10%, the discounted price will be 0.9 x 0.85D = 0.765D
4. All the dots in the array are 2 units apart vertically and horizontally. What is the length of the longest line segment that can be drawn joining any two points in the array without passing through any other point ?
A. 2
B. 2√2
C. 3
D. √10
E. √20
Correct Answer: E
解析:
The longest line segment that can be drawn without passing through any dots other than those at the beginning and end of the segment, such a line could go from the middle dot in the top row to either the bottom left or right dot. In any case the segment will be the hypotenuse of a right triangle with sides 2 and 4. Using Pythagoras theorem the hypotenuse will be √(2 2 + 4 2 ) = √20
5. If the radius of the circle with centre O is 7 and the measure of angle AOB is 100, what is the best approximation to the length of arc AB ?
A. 9
B. 10
C. 11
D. 12
E. 13
Correct Answer: D
解析:
If the radius is 7, the circumference = 14π. The length of the arc is 100/360 of the circumference. Taking π as 22/7 we get. (100 x 14 x 22) / (360 x 7) which reduces to 440/ 36 = 12.22 (i.e. approx. 12)
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.
1. Of the following, which is greater than ?
A. 2/5
B. 4/7
C. 4/9
D. 5/11
E. 6/13
2. If an object travels at five feet per second, how many feet does it travel in one hour?
A. 30
B. 300
C. 720
D. 1800
E. 18000
3. What is the average (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive?
A. 90
B. 95
C. 100
D. 105
E. 110
4. A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
A. 48
B. 32
C. 24
D. 18
E. 12
5. In a class of 78 students 41 are taking French, 22 are taking German and 9 students are taking both French and German. How many students are not enrolled in either course?
A. 6
B. 15
C. 24
D. 33
E. 54
1.Correct Answer: B
Explanation:
One way to deal with fractions is to convert them all to decimals. (Using your calculator, divide the numerator by the denominator).
In this case all you would need to do is to see which is greater than 0.5.
Otherwise to see which is greater than ?, double the numerator and see if the result is greater than the denominator. In B, the correct answer, doubling the numerator gives us 8, which is bigger than 7.
2.Correct Answer: E
Explanation:
If an object travels at 5 feet per second it covers 5x60 feet in one minute, and
5x60x60 feet in one hour. Answer = 18000 (E)
3.Correct Answer: C
Explanation:
You could add up all the multiples of 10 (10 + 20 + 30 ....+190), and divide by the number of terms (19). Or you could realize that the average of an evenly spaced series of numbers is equal to the value of the middle term (or the average of the two middle terms if there are an even number of terms). The middle term out of 19 is the tenth term in the series = 100.
4.Correct Answer: A
Explanation:
If you double the sides of a cube, the ratio of the surface areas of the old and new cubes will be 1: 4. The ratio of the volumes of the old and new cubes will be 1: 8.
Weight is proportional to volume. So, If the first weighs 6 pounds, the second weighs 6x8 pounds =48.
5.Correct Answer: C
Explanation:
You could solve this by drawing a Venn diagram. A simpler way is to realize that you can subtract the number of students taking both languages from the numbers taking French to find the number taking only French. Likewise find those taking only German. Then we have:Total = only French + only German + both + neither
78 = (41-9) + (22-9) + 9 + neither.
Not enrolled students = 24
练习一下吧，不是很难。
1. What is the sum of all the positive integer factors of 12 ?
2. The average IQ of 4 people is 110. If three people each have an IQ of 105, what is the IQ of the fourth person ?
3. Of 60 students in a class 2/3 are girls, and 2/5 of the class are taking music lessons. What is the maximum number of girls that are not taking music lessons?
4. If 2 n + 1 = 8, what is the value of n ?