国外英语考试《SAT Level 1》试题（网友回忆版）四
SAT Level 1
历年真题
共 30 题
252 次浏览
更新于 2026-09-27
一、数据分析、统计和概率
-
1
A jar contains four blue marbles and two green marbles.Without looking, two marbles are drawn from the jar.What is the probability that two marbles with the same color will be selected?
- A.
- B.
- C.
- D.
- E.
.~ Of the 6 marbles, 2 marbles are green.Hence, the probability that two green marbles will be selected is 
.~ Hence, the probability that two marbles with the same color will be selected is 
.
2
How many four-digit numbers greater than 1000 can be formed from the digits 0, 1, 2, 3, 4, and 5 if the same digit cannot be used more than once?
- A.1296
- B.625
- C.360
- D.300
- E.120
3
Kate needs to complete 5 more courses—calculus, English, French, computer science, and history—in order to graduate from high school.She plans to schedule the courses during the first 5 periods of the school day, and all 5 courses are offered during each of the 5 periods.How many different schedules are possible?
- A.25
- B.24
- C.240
- D.120
- E.60
4
The boys’ basketball team scored an average of 54 points per game in their first 5 games of the season.The girls’ basketball team scored an average of 59 points per game in their first 6 games.What was the average of points scored in all 11 games?
- A.56.5
- B.56.7
- C.56.0
- D.57.1
- E.62.4
points.
5
John buys a cake at a bakery and a hammer at a hard-ware store.If there are five hardware stores and three bakeries, in how many different combinations of stores can he purchase the cake and the hammer?
- A.20
- B.15
- C.8
- D.5
- E.3
6
When x is subdivacted from 2y, the difference is equal to the average of x and y.What is the value of x/y?
- A.
- B.
- C.1
- D.
- E.2
or 2(2y-x) =x+ y.Hence, 4y-2x=x+ y，4y-y=x+2x，3y = 3x.Dividing both sides of 3y = 3x by 3y gives x/y =1.
7
In the accompanying diagram, points A, B, C, and D are the centers of four circles that each have a radius length of 1.The circles are tangent at the points shown.If a point is selected at random from the interior of square ABCD, what is the probability that the point will be chosen from the shaded region?
- A.
- B.
- C.
- D.
- E.
.
8
Each of five identical cards is numbered on one of its sides with a different integer from 1 to 5.The cards are turned over and then shuffled so that they are not in a predicdiv order.If two cards are selected at random without replacement, what is the probability that their sum is at least 8?
- A.
- B.
- C.
- D.
- E.
9
If there are 72 SAT math scores between 510 and 600, how many SAT math scores are above 700?
If there are 72 SAT math scores between 510 and 600, how many SAT math scores are above 700?
- A.40
- B.48
- C.56
- D.64
- E.72
10
A cube whose faces are numbered from I to 6 is rolled.Which of the following statements must be divue?
I.The probability of getting a 5 on the top face is
.
II.The probability of getting an even number on the top face is.
III.The probability of getting a prime number on the top face is.
I.The probability of getting a 5 on the top face is
.II.The probability of getting an even number on the top face is
.III.The probability of getting a prime number on the top face is
.- A.I and II only
- B.I and III only
- C.II only
- D.II and III only
- E.All are divue.
Hence, statement I is false.
or
11
In how many ways can the letters of the word GOLDEN be arranged using all of the letters?
- A.16
- B.24
- C.120
- D.720
- E.5,040
12
How many numbers greater than 400 but less than 9999 can be formed using the digits 0,1,3，4, and 5 if no digit may be used more than once in any number?
- A.24
- B.48
- C.96
- D.120
- E.180
13
The average (arithmetic mean)of 5 positive numbers is 7.If the average of the least and greatest of these numbers is 10, what is the average of the other 3 numbers?
- A.4
- B.5
- C.6
- D.7
- E.10
.
14
If 2a+b =7 and b+2c = 23, what is the average of a, b, and c?
- A.5
- B.7.5
- C.10
- D.12.25
- E.15
.
15
In a music class of 30 students, 50% study woodwinds, 40% study sdivings, and 30% study both woodwinds and sdivings.What percent of the students in .the class do NOT study either woodwind or sdiving insdivuments?
- A.25%
- B.40%
- C.50%
- D.60%
- E.75%
.40% of the class do not study either woodwind or string instruments.
16
What is the greatest of four consecutive even integers whose average is 19?
- A.19
- B.12
- C.76
- D.22
- E.16
.Or 4x+12 = 4×19 = 76.Then 4x=76-12=64, x = 64/4 =16.Hence, x+6, the greatest of the four consecutive even integers, is 16+6 or 22.
17
Susan received grades of 78, 93, 82, and 76 on four math exams.What is the lowest score she can receive on her next math exam and have an average of at least 85 on the five exams?
- A.96
- B.94
- C.92
- D.90
- E.88
, 329 +x = 5×85 = 425.x = 425-329 = 96.
18
Assuming both a and b are positive, if 
and 
, then what is the average of a and b?
and , then what is the average of a and b?- A.10
- B.6
- C.5
- D.4
- E.3
19
In how many different ways can five students be seated in three chairs?
- A.15
- B.18
- C.30
- D.60
- E.120
20
The graph below shows how $250,000 is invested.
How much money is invested in municipal bonds?
How much money is invested in municipal bonds?- A.$45,000
- B.$37,500
- C.$35,000
- D.$30,000
- E.$15,000
21
If 20% of the students with SAT math scores from 610 to 700 received college scholarships, how many students with SAT I math scores from 610 to 700 received college scholarships?
- A.12
- B.18
- C.30
- D.48
- E.60
22
What is the area of the circle whose radius is the average of the radii of two circles with areas of 16π and 100π?
- A.25π
- B.36π
- C.49π
- D.64π
- E.81π
23
Christine’s average score on the first three math tests of the term is 89 percent.If she earns an 81 percent on the fourth test, what will her new average be?
- A.87%
- B.85%
- C.86.8%
- D.88%
- E.85.5%
, S=267.Christine’s new average is
, so choice A.is correct.
24
A target consists of three concendivic circles，with radii of 1 foot，2 feet，and 3 feet.If an arrow that hits the target hits any point on the target with equal probability，what is the probability that an arrow that hits the target falls in the sandwich region (between the first and third circles)?
- A.
- B.
- C.
- D.
- E.
25
A jar contains only red, blue, and green marbles.The probability of picking a red marble is 0.25, and the probability of picking a blue marble is 0.40.What is the probability of picking a green marble?
- A.0.25
- B.0.35
- C.0.60
- D.0.75
- E.1.00
26
A = {-2, -1, 0, 1, 2}.If x represents a number picked at random from set A above, what is the probability that x2<2?
- A.
- B.
- C.
- D.
- E.1
27
If the letters of the word PROBLEMS are written on cards and put in a hat, what is the probability of randomly drawing either “E” or “S”?
- A.
- B.
- C.
- D.
- E.
.
28
60 blue marbles and 40 red marbles are in a jar.How many red marbles must be removed from the jar so that the probability of choosing a blue marble from the jar is 3/4?
- A.5
- B.10
- C.15
- D.20
- E.25
.
29
The number of tails showing when a pair of coins was tossed 10 times was {0,1,2,2,1,1,0,2,0,1 }.What is the mean of the data?
- A.0
- B.0.5
- C.1
- D.1.5
- E.2
30
The median of seven test scores is 82, the mode is 87, the lowest score is 70, and the average is 80.If the scores are integers, what is the greatest possible test score?
- A.89
- B.80
- C.91
- D.87
- E.70
, 70+71+72+82+87+87+x = 80×7.469+x = 560.x = 560-469 =91.
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