SAT备考之数学练习题(一)
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
3. Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?
A. 5 : 1
B. 10 : 5
C. 15 : 2
D. 20 : 2
E. 25 : 2
4. A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?
A. 2.5π
B. 3π
C. 5π
D. 4π
E. 10π
5. Two sets of 4 consecutive positive integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set?
A. 4
B. 7
C. 8
D. 12
E. it cannot be determined from the information given.
6. If 10+x is 5 more than 10, what is the value of 2x ?
(A)-5 (B) 5 (C) 10 (D) 25 (E) 50
7. If(x -2)2 =49, then x could be
(A) -9 (B) -7 (C) 2 (D) 5 (E) 9
8. If this page was folded along the dotted line in the figure above, the left half of the letter W would exactly coincide with the right half of W. Which of the following letters, as shown, CANNOT be folded along a vertical line so that its left half would coincide with its right half?
(A) A (B) I (C) O (D) U (E) E
9. In a certain store, the regular price of a refrigerator is $600. How much money is saved by buying this refrigerator at 20 percent off the regular price rather than buying it on sale at 10 percent off the regular price
with an additional discount of 10 percent off the sale price?
(A) $6 (B) $12 (C) $24 (D) $54 (E) $60
10. Which of the following is the graph of a function f such that f(x) = 0 for exactly two values of x between
-5 and 5 ?
(A) (B)
(C) (D)
(E)
11. Based on the portions of the graphs of the functions f and g shown above, what are all values of x between -6 and 6 for which g x f x ?
(A) -6 < x <-3 only (B) -3 < x < 0 only (C) 0 < x < 3 only
(D) 3 < x < 6 only (E) -6 < x < -3 and 0 < x < 3。
12. Point O is the center of both circles in the figure above. If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle, what is the length of the darkened arc?
(A) 10 (B) 8 (C) 6 (D) 4 (E) 2
13. If x = 20 and y = 30 in the figure above, what is the value of z ?
(A) 60 (B) 70 (C) 80 (D) 90 (E) 100
14. If 6 < |x-3| < 7 and x < 0, what is one possible value of |x| ?
15. What is the product of the smallest prime number that is greater than 50 and the greatest
16. 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
17. 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
18. Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?
A. 5 : 1
B. 10 : 5
C. 15 : 2
D. 20 : 2
E. 25 : 2
19. A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?
A. 2.5π
B. 3π
C. 5π
D. 4π
E. 10π
20. Two sets of 4 consecutive positive integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set?
A. 4
B. 7
C. 8
D. 12
E. it cannot be determined from the information given.
21. If f(x) = (x + 2) / (x-2) for all integers except x=2, which of the following has the greatest value?
A. f(-1)
B. f(0)
C. f(1)
D. f(3)
E. f(4)
22. ABCD is a square of side 3, and E and F are the mid points of sides AB and BC respectively. What is the area of the quadrilateral EBFD ?
A. 2.25
B. 3
C. 4
D. 4.5
E. 6
23. If n ≠ 0, which of the following must be greater than n?
I 2n
II n2
III 2 - n
A. I only
B. II only
C. I and II only
D. II and III only
E. None
24. After being dropped a certain ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it reaches a height of 125 inches. How high (in inches) wi
ill it reach after its fourth bounce?
A. 20
B. 15
C. 8
D. 5
E. 3.2
25. n and p are integers greater than 1
5n is the square of a number
75np is the cube of a number.
The smallest value for n + p is
A. 14
B. 18
C. 20
D. 30
E. 50
26.A gasoline tank on a certain tractor holds 16gallons of gasoline. If the tractor requires 7gallons to plow 3acres, how many acres can the tractor plow with a tankful of gasoline?
(A) 6 and (6 over 7)
(B) 7 and (1 over 6)
(C) 7 and (1 over 3)
(D) 10 and (2 over 3)
(E) 37 and (1 over 3)
27. Of the following, which is greater than ? ?
A. 2/5
B. 4/7
C. 4/9
D. 5/11
E. 6/13
28. 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
29. 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
30. 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
31. 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
32. If f(x) = │(x2 – 50)│, what is the value of f(-5) ?
A. 75
B. 25
C. 0
D. -25
E. -75
33. ( √2 - √3 )2 =
A. 5 - 2√6
B. 5 - √6
C. 1 - 2√6
D. 1 - √2
E. 1
34. 230 + 230 + 230 + 230 =
A. 8120
B. 830
C. 232
D. 230
E. 226
35. Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (but not more than once through each) and not travelling any road twice on the same trip?
A. 10
B. 8
C. 6
D. 4
E. 2
36. In the figure above AD = 4, AB = 3 and CD = 9. What is the area of triangle AEC ?
A. 18
B. 13.5
C. 9
D. 4.5
E. 3
37.The circle above has center P. Given segments of the following lengths, which is the length ofthe longest one that can be placed entirely inside this circle?
(A) 6.99
(B) 7.00
(C) 7.99
(D) 8.10
(E) 14.00
答案：C
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