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MathToSuccess
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This is a demo of SHSAT Math. Your next practice questions in a specific program will be specially tailored for you as the system learns from your previous practices!
1.  What is the value of
303030300
30
 ?
A) 1111
B) 11110
C) 10101010
D) 101010100
E) 1010101
2.  When expressing
1
13
  as a decimal, you get 0.0769230769230769..., what is the 25th place to the right of the decimal point?
A) 1
B) 0
C) 5
D) 4
E) 9
3.  If X =
7
8
 , Y =
5
6
  and Z =
32
40
 , which of the following is correct?
A) X < Y < Z
B) Z < Y < X
C) X < Z < Y
D) Y < X < Z
E) Y < Z < X
4.  Which of the following can NOT be the product of two consecutive even numbers?
A) 2808
B) 290520
C) 39876
D) 1677024
E) 10208024
5.  The following sequence of numbers are placed in the table as shown. Note that each number in the sequence is an even number. If the pattern continues, in which column will the number 300 appear?
IIIIIIIVVVIVIIVIII
    0246
810121416182022
2426283032343638
40.....................
A) IV
B) VI
C) III
D) VII
E) VIII
6.  If
√x
  + 
1
√x
 
  = 6, then the value of
1 + x2
x
  is
A) 30
B) 35
C) 34
D) 32
E) 37
7.  If a@b means
a + b
5
 , then what will 10@(36@39) = ?
A) 5
B) 4
C) 1
D) 2
E) 3
8.  Andy sells candy bars at a tailgate party to raise money for his school sports club. He bought them at 5 for $1, and sold them at 2 for $1. How many candy bars must be sold in order to raise $6?
A) 18
B) 12
C) 20
D) 16
E) 14
9.  In the figure below, three vertices A, B, and C of a quadrilateral fall on the circle circumference and the fourth at the circle center O. The measure of angle ∠BCO = 68° and ∠BAO = 74°. What is the measure of angle ∠ABC?
A) 151°
B) 136°
C) 142°
D) 139°
E) It cannot be determined from the information given.
10.  All the three sides of a triangle have integer lengths. If one of the sides is 30, what is the smallest possible perimeter of the triangle?
A) 65
B) 63
C) 61
D) 62
E) can not be determined
11.  P and Q are natural numbers and P + Q = 9. What is the largest possible value of
1
P
  + 
1
Q
  ?
A)
11
6
 
B)
9
20
 
C)
13
8
 
D)
11
7
 
E)
11
8
 
12.  A spinner shown in the diagram has 9 equal sections. The probability of the pointer falling into each section is the same (Assume the pointer will never fall on a line between two sections). What is the probability that the product of the two numbers that occur in two tries is a prime?
Best GT Prep
A)
4
9
 
B)
11
81
 
C)
8
81
 
D)
1
9
 
E)
10
81
 
13.  P, Q, R,and S are on a number line with S not shown in the below graph. The length of RS is 3 times the length of PQ. What is a possible coordinate of point S?
A) 43
B) -44
C) 42
D) 39
E) -43
14.  Which of the following has the smallest value?
A)
√45
  + 
√53
 
B)
√49 + 49
 
C)
√49
  + 
√49
 
D)
√47
  + 
√51
 
E)
√41
  + 
√57
 
15.  ABCD is a rectangle. E, and F are at the same height. If the area of the rectangle ABCD is 45, what is the area sum of the shaded triangles?
Best GT Prep
A) 12.25
B) 9.25
C) 14.25
D) 11.25
E) can not be determined
16.  .8 − .002 = ?
A) .886
B) .7986
C) .006
D) .8886
E) .86
17.  If each of the fractions
4
X
 ,
5
X
 , and
6
X
  is in its lowest terms, which of the following could be a value for X?
A) 31
B) 42
C) 35
D) 48
E) 28
18.  ABCD is a rectangle and DEC is a triangle. If the degree measure of ∠ADE : ∠AED : ∠BCE = 3 : 6 : 4, what is the degree measure of ∠DEC? Note that the diagram might not be drawn to scale.
Best GT Prep
A) 55
B) 65
C) 60
D) 70
E) can not be determined
19.  Two triangles ABC and BCD share a common side BC. Below are the angles in degrees.
Angle∠BAC∠ABC∠BCA∠CDB∠DBC∠BCD
Degrees(°)576261635958

Which of the following is the longest line segment? Note that the diagram might not be drawn to scale.
Best GT Prep
A) AB
B) BC
C) CD
D) BD
E) AC
20.  The graph below shows the sales of various flavors in an ice cream shop. If 44 Vanilla flavor ice creams were sold, what is the number of Coffee flavor ice creams sold in the shop?
A) 107
B) 111
C) 106
D) 112
E) 108



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