Part B: Each correct answer is worth 6.
|
11. In the |
diagram, P Q is |
perpendicular to QR, QR is |
Q |
|||||
|
perpendicular to RS, and RS is perpendicular to ST . P |
|
|||||||
|
If P Q = 4, QR = 8, RS = 8, and ST = 3, then the |
|
|
|
|
|
T |
||
|
|
|
|
|
|||||
|
distance from P to T is |
|
|
|
|
|
|
||
|
(A) 16 |
(B) 12 |
(C) 17 |
|
|
|
|
||
|
(D) 15 |
(E) 13 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
||
|
|
R |
|
|
|
S |
|||
|
|
|
|
|
|
|
|||
12. Alejandro has a box that contains 30 balls, numbered from 1 to 30. He randomly selects a ball from the box where each ball is equally likely to be chosen. Which of the following is most likely?
(A) He selects a ball whose number is a multiple of 10.
(B) He selects a ball whose number is odd.
(C) He selects a ball whose number includes the digit 3.
(D) He selects a ball whose number is a multiple of 5.
(E) He selects a ball whose number includes the digit 2.
13. Which of the following fractions is both larger than 16 and smaller than 14 ?
|
(A) |
5 |
|
(B) |
5 |
|
(C) |
5 |
|
|
(D) |
5 |
|
(E) |
5 |
|
|
|
|
|
|
60 |
48 |
||||||||||
|
12 |
36 |
|
24 |
|
|
|
|
|
|
||||||
|
14. The number of zeros in the integer equal to |
|
1010010010 |
is |
|
|
||||||||||
|
(A) 120 |
(B) 200 |
(C) 220 |
(D) 300 |
(E) 110 |
|||||||||||
|
|
|
|
|
|
|||||||||||
15. What is the tens digit of the smallest positive integer that is divisible by each of 20, 16 and 2016?
(A) 0 (B) 2 (C) 4 (D) 6 (E) 8
16. The triangle shown is re ected in the x-axis and the y
resulting triangle is re ected in the y-axis. Which of the
following best represents the nal position of the triangle?
x
(A) (B) (C)
y y y
x 
x 
x
(D) (E)
y y
x 
x
17. In the diagram, the perimeter of square P QRS is 120 and
the perimeter of 4P ZS is 2x. Which of the following expressions in terms of x is equal to the perimeter of pentagon P QRSZ?
|
(A) 120 + 2x |
(B) 40 + 2x (C) 60 + 2x |
|
(D) 90 + 2x |
(E) 30 + 2x |
|
P |
|
Q |
|
|
Z |
|
|
S |
|
R |
|
|
18. When three positive integers are added in pairs, the resulting sums are 998, 1050 and 1234. What is the di erence between the largest and smallest of the three original positive integers?
(A) 262 (B) 248 (C) 224 (D) 250 (E) 236
19. A total of n points are equally spaced around a circle and are labelled with the integers 1 to n, in order. Two points are called diametrically opposite if the line segment joining them is a diameter of the circle. If the points labelled 7 and 35 are diametrically opposite, then n equals
(A) 54 (B) 55 (C) 56 (D) 57 (E) 58
20. There are n students in the math club at Scoins Secondary School. When Mrs. Fryer tries to put the n students in groups of 4, there is one group with fewer than 4 students, but all of the other groups are complete. When she tries to put the n students in groups of 3, there are 3 more complete groups than there were with groups of 4, and there is again exactly one group that is not complete. When she tries to put the n students in groups of 2, there are 5 more complete groups than there were with
groups of 3, and there is again exactly one group that is not complete. The sum of the digits of the integer equal to n2 n is
(A) 11 (B) 12 (C) 20 (D) 13 (E) 10
周萌萌
