SAT2数学练习题7道.

　　下面为大家整理的是SAT2数学题目的练习，共7道，后面附有详细的答案解析。SAT2数学考试是中国考生几乎必选的一个考试项目，所以对这个考试的题目也是大家一定要多加练习的部分，下面我们来看看详细内容吧。

　　1.A cyclist bikes from town A to town B and back to town A in 3 hours. He bikes from A to B at a speed of 15 miles/hour, while his return speed is 10 miles/hour. What is the distance between the 2 towns?

　　(a) 18 miles

　　(b) 15 miles

　　(c) 12 miles

　　(d) 10 miles

　　(e) 11 miles

　　Answer:

　　The total time t = tAB + tBA = dAB/(15 miles/hour) + dAB/(10 miles/hour) = dAB/(6 miles/hour). dAB = dAB/(6 miles/hour) · 3 hours = 18 miles. (a) is the correct answer.

　　2.The volume of a cube-shaped glass C1 of edge a is equal to half the volume of a cylinder-shaped glass C2. The radius of C2 is equal to the edge of C1. What is the height of C2?

　　(a) a / ¶

　　(b) a / (2·¶)

　　(c) a / ¶

　　(d) 2·a / ¶

　　(e) a + ¶

　　Answer:

　　The volume of the cube is a3. This is equal to half the volume of the cylinder C2. a3 = ¶ · a2 · h/2 , where h is the height of the cylinder 2 · a3 = ¶ · a2 · h , 2 · a = ¶ · h, so h = 2 · a / ¶ and (d) is the correct answer.

　　3.If 2x < 100 and x is an integer, how many of the 2x + 2 integers will be divisible by 3 and by 2?

　　(a) 1

　　(b) 2

　　(c) 3

　　(d) 4

　　(d) 5

　　Answer:

　　26 = 64 and 27 = 128. If 2x < 100, then the highest value of x is 6. Possible values for x: 0 , 1 , 2 , 3 , 4, , 5 , 6. 2x + 2 can take the values 3 , 4 , 6 , 10 , 18 , 34 , 66. Out of these values, only 6 , 18 and 66 are divisible by 3 and by 2. The correct answer is (c).

　　4.If 5xy = 210, and x and y are positive integers, each of the following could be the value of x + y except:

　　(a) 13

　　(b) 17

　　(c) 23

　　(d) 15

　　(e) 43

　　Answer:

　　5xy = 210 so xy = 42. 42 = 2 · 3 · 7. The following products of integers equal to 42: (6 · 7) or (2 · 21) or (14 · 3) or (42 · 1). 6 +7 = 13, 2 + 21 = 23, 14 + 3 = 17 42 + 1 = 43 The only answer that is NOT 43, 13, 23 or 17 is (d), 15.

　　5. sin(x)cos(x)(1 + tan2(x)) =

　　(a) tan(x) + 1 (b) cos(x) (c) sin(x) (d) tan(x) (e) sin(x) + cos(x)

　　Answer:

　　sin(x)cos(x)(1 + tan2(x)) =sin(x)cos(x)(1 + sin2(x)/cos2(x)) = sin(x)cos(x)[(cos2(x) + sin2(x))/cos2(x)] = sin(x)cos(x)[1/cos2(x)] = sin(x)/cos(x) = tan(x)

　　6.The average of the integers 24, 6, 12, x and y is 11. What is the value of the sum x + y?

　　(a) 11

　　(b) 17

　　(c) 13

　　(d) 15

　　(e) 9

　　Answer:

　　The average of the 5 numbers is (24 + 6 + 12 + x + y)/5. (24 + 6 + 12 + x + y)/5 = 11 24 + 6 + 12 + x + y = 11 · 5 24 + 6 + 12 + x + y = 55 x + y = 13

　　7.The inequality |2x - 1| > 5 must be true in which one of the following cases? I. x < -5 II. x > 7 III. x > 0

　　(a) II only

　　(b) I, II and II

　　(c) I and II only

　　(d) I and III only

　　(e) I only

　　Answer:

　　|2x - 1| > 5, -5 > 2x - 1 or 2x - 1 > 5 -4 > 2x or 2x > 6 -4 > 2x results in x < -2 2x > 6 results in x > 3 I answer is true, II answer is also true, but III answer is false, so the correct answer is (c)

　　以上就是这7道SAT2数学练习题目的全部内容，非常详细。澳际小编建议大家在备考这些SAT2数学题目的时候，可以根据答案和自己答题的实际情况，对数学方面的知识点和相关词汇进行更加有针对性的准备，就能更好的应对考试了。

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