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This is a demo of SAT Math Section 2. Your next practice questions in a specific program will be specially tailored for you as the system learns from your previous practices!
1.  For any number N, if the symbol ⌊N⌋ represents the largest integer that is less than or equal to N. For example, ⌊5.99⌋ is 5. What will be ⌊
√191.06
 ⌋?
A) 15
B) 12
C) 14
D) 13
E) 169
2.  In the following diagram, ∠M = 60°, and ∠N = 29°. What is the sum of degrees of ∠X and ∠Y, i.e. X + Y = ?
Note that the diagram might not be drawn to scale and all the units are in degrees(°).
Best GT Prep
A) 210
B) 204
C) 196
D) 211
E) 215
3.  Which of the following points is closest to the line y = x in the Cartesian coordinate system?
A) (6, 10)
B) (6, 3)
C) (12, 6)
D) (6, 2)
E) (1, 6)
4.  Which of the following can NOT be the product of two consecutive even numbers?
A) 241080
B) 6901128
C) 779688
D) 10912
E) 14160
5.  In the sequence of 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, ...,15, ..., the pattern of one 1, two 2s, three 3s, four 4s and so on continues with 1 in 1st position and 2 in 2nd and 3rd positions. Which of the following number will be shown at 116th position?
A) 15
B) 18
C) 116
D) 17
E) 14
6.  If P is a prime number larger than 2, which of the following could also be evaluated as a prime number?
A) 33P + 23
B) 33P + 21
C) 33P + 27
D) 33P + 26
E) 33P + 6
7.  Some of the historical "natural units" for the length are listed below:
unit namemeaninginches per unit
digitThe width of a finger0.75
nailThe length of the last two joints of the middle finger2.25
palmThe width of the palm3
handThe breadth of the hand4
shaftmentThe width of the hand and outstretched thumb6
spanThe width of the outstretched hand9
cubitThe length from the tip of the thumb to the tip of the little finger18
How many shaftment(s) are equivalent to 540 hands?
8.  If 15 ≤ w ≤ 21, 25 ≤ x ≤ 26 and 21 ≤ y ≤ 23 with w, x, and y being integers, what is the smallest value of
w
x − y
 ?
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 = 62° and ∠BAO = 52°. What is the measure of angle ∠AOC?
A) 135°
B) 123°
C) 138°
D) 132°
E) It cannot be determined from the information given.
10.  In the final year of a middle school, students can either choose foreign languages or creative arts as the elective course.
1
2
  of the boys and
4
5
  of the girls choose foreign languages. If the number of girls in the school is
5
6
  of the boys. What fraction of the total students choose foreign languages as their elective?
11.  (1 + 
0
2
 )(1 + 
1
3
 )(1 + 
2
4
 )(1 + 
3
5
 )(1 + 
4
6
 )(1 + 
5
7
 )(1 + 
6
8
 ) =
12.  
In the above figure, what is p + q? Note that the figure may not be drawn to scale.
13.  If (M − N)2 = 90 and MN = 55, what is the value of (M + N)2?
14.  If M = 4x − 2 and N = 4x + 4, for what value of x is 7M = 6N?
15.  The cost to purify a certain metal to 99.0% is $156.00 per pound. Then each 0.1% increase will cost $29.00 more per pound until reaching 99.9%. After that, each 0.01% increase will cost $36.00 more per pound until reaching 99.99%. What is the cost (in dollars) per pound to purify the metal to 99.92%?
16.  How many even numbers from -1000 to 1000 inclusively are divisible by 11?
17.  When P, Q, and R are divided by 5, the remainders are 4, 2, and 4 respectively. What is the remainder when PQR is divided by 5?
18.  If m is an integer and (m + 1)m is an odd number, which statement(s) must be true?

I. m2 + 1 is odd

II.m2 is even

III.m(m + 1) is odd
A) I, II and III
B) II and III
C) I only
D) none
E) I and II



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