SAT1数学知识点

SAT I 数学

I. 解题技巧训练

1 The units digit of 23333 is how much less than the hundredths digit of

1000567

(A) 1 (B) 2 (C) 3 (D) 4 (E) 5

2. What is the units digit of 1597365?

3. Bob has a pile of poker chips that he wants to arrange in even stacks. If he stacks them in piles of 10, he has 4 chips left over. If he stacks them in piles of 8, he has 2 chips left over. If Bob finally decides to stack the chips in only 2 stacks, how many chips could be in each stack?

A. 14

B. 17

C. 18

D. 24

E. 34

4. If x and y are two different integers and the product 35xy is the square of an integer, which of the following could be equal to xy?

A. 5

B.70

C. 105

D. 140

E. 350

5. If x2=y3 and (x-y)2=2x, then y could equal (A) 64 (B) 16 (C) 8 (D) 4 (E) 2

6. For positive integers p, t, x and y, if p x =t y and x-y=3, which of the following CANNOT equal t?

A. 1

B. 2

C. 4

D. 9

E. 25

7. If 3t-3>6s+9 and t-5s<12, and s is a positive integer less than 4, then t could be any of the following EXCEPT A. 6 B. 8 C. 10 D.12 E. 23

8. If n and p are integers greater than 1 and if p is a factor of both n+3 and n+10, what is the value of p?

A. 3

B. 7

C. 10

D. 13

E. 30

9. If x is a positive integer greater than 1, and x3-4x is odd, then x must be

(A) even (B) odd (C) prime (D) a factor of 8 (E) divisible by 8

10.

If the graph above is that of f(x), which of the following could be f(x) A. f(x)= 3||x B. f(x)=|

3|x C. f(x)=/x/+3 D. f(x)=|x+3| E. f(x)=|3x|

11. xy=x+y. If y>2, what are all possible values of x that satisfy the equation above?

A. x<0,

B. 0

C.0

D.1

E. x>2

II. 算术 ――对应知识点训练

1. 代数题

(1). Karl bought x bags of red marbles for y dollars per bag, and z bag of blue marbles for 3y dollars per bag. If he bought twice as many bags of blue marbles as red marbles, then in terms of y, what was the average cost, in dollars, per bag of marbles? (A) 23y (B) 3

7y (C) 3x-y (D) 2y (E) 6y

(2) At this bake sale, Mr. Right sold 30% of his pies to one friend. Mr. Right then sold 60% of the remaining pies to another friend. What percent of his original number of pies did Mr. Right have left?

(A) 10% (B) 18% (C) 28% (D) 36% (E) 40%

(3) At a track meet, 2/5 of the first-place finishers attended Southport High School, and 1/2 of them were girls. If 2/9 of the first-place finishers who did NOT attend Southport High School were girls, what fractional part of the total number of first-place finishers were boys?

(A) 1/9 (B) 2/15 (C) 7/18 (D) 3/5 (E) 2/3

2. 中位数

（4）

student joined the class, and the average (arithmetic mean) number of siblings per student became equal to the median number of siblings per student. How many siblings did the new student have?

A. 0

B. 1

C. 2

D. 3

E. 4

（5）In a set of eleven different numbers, which of the following CANNOT affect the value of the median?

A. Doubling each number

B. Increasing each number by 10

C. Increasing the smallest number only

D. Decreasing the largest number only

E. Increasing the largest number only

（6）. The least and greatest numbers in a list of 7 real numbers are 2 and 20, respectively. The median of the list is 6, and the number 3 occurs most often in the list. Which of the following could be the average (arithmetic mean) of the numbers in the list?

I. 7 II. 8.5 III. 10

A. I only

B. I and II only

C. I and III only

D. II and III only

E. I, II and III

3. 集合部分

(6) Set F consist of all of the prime numbers from 1 to 20 inclusive, and set G consist of all of the odd numbers from 1 to 20 inclusive. If f is the number of values in set F, g is the number of values of in Set G, and j is the number of values in F∪G, which of the following gives the correct value of f(j-g)?

A. 4

B. 8

C. 10

D. 11

E. 18

(7) Set X has x members and set Y has y members. Set Z consists of all members that are in either Set X or Set Y with the exception of the k common members (k>0). Which of the following represents the number of members in set Z?

A. x+y+k

B. x+y-k

C. x+y+2k

D. x+y-2k

E. 2x+2y-2k

(8) Of the 240 campers at a summer camp, 5/6 could swim, if 1/3 of the campers took climbing lessons, what was the least possible number of campers taking climbing lessons who could swim?

A. 20

B.40

C. 80

D.120

E. 200

(9) Set F consist of all of the prime numbers from 1 to 20 inclusive, and set G consist of all of the odd numbers from 1 to 20 inclusive. If f is the number of values in set F, g is the number of values of in Set G, and j is the