七月|SAT数学每日练习题

　　今天课窝网继续为广大备考SAT的人儿带来四道SAT数学，检测大家有没有认真复习，每道题目后面都有答案和详细的解析，通过昨天总计自己的sat数学复习弱项。

　　1. Which of the following could be a value of x, in the diagram above?

　　A. 10

　　B. 20

　　C. 40

　　D. 50

　　E. any of the above

　　2. Helpers are needed to prepare for the fete. Each helper can make either 2 large cakes or 35 small cakes per hour. The kitchen is available for 3 hours and 20 large cakes and 700 small cakes are needed. How many helpers are required?

　　A. 10

　　B. 15

　　C. 20

　　D. 25

　　E. 30

　　1.Correct Answer: B

　　Explanation:

　　The marked angle, ABC must be more than 90 degrees because it is the external angle of triangle BDC, and must be equal to the sum of angles BDC (90) and DCB. Also ABC is not a straight line and must be less than 180. Therefore 90 < 5x < 180 The only value of x which satisfies this relation is 20.

　　2.Correct Answer: A

　　Explanation:

　　20 large cakes will require the equivalent of 10 helpers working for one hour. 700 small cakes will require the equivalent of 20 helpers working for one hour. Thismeans if only one hour were available we would need 30 helpers. But since three hours are available we can use 10 helpers.

　　（二）

　　1. The distance from town A to town B is five miles. C is six miles from B. Which of the following could be the distance from A to C?

　　I 11

　　II 1

　　III 7

　　A. I only

　　B. II only

　　C. I and II only

　　D. II and III only

　　E. I, II, or III.

　　Correct Answer: E

　　解析:

　　Do not assume that AB and C are on a straight line. Make a diagram with A and B marked 5 miles apart. Draw a circle centered on B, with radius 6. C could be anywhere on this circle. The minimum distance will be 1, and maximum 11, but anywhere in between is possible.

　　2. √5 percent of 5√5 =

　　A. 0.05

　　B. 0.25

　　C. 0.5

　　D. 2.5

　　E. 25

　　Correct Answer: B

　　解析:

　　We can write the statement mathematically, using x tomean‘of’ and /100 for ‘per cent’. So ( √5/100) x 5√5 = 5 x 5 /100 = 0.25

　　3. If pqr = 1 , rst = 0 , and spr = 0, which of the following must be zero?

　　A. P

　　B. Q

　　C. R

　　D. S

　　E. T

　　Correct Answer: D

　　解析:

　　If pqr = 1, none of these variable can be zero. Since spr = 0 , and since p and r are not zero, s must be zero. (Note that although rst = 0, and so either s or t must be zero, this is notsufficientto state which must be zero)

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