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MathToSuccess
Where Practice Brings Success
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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
⌊
√
174.75
⌋
?
A) 15
B) 12
C) 13
D) 14
E) 169
2.
In the following diagram, ∠M = 53°, 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(°).
A) 194
B) 205
C) 193
D) 204
E) 206
3.
Which of the following points is closest to the line
y = x
in the Cartesian coordinate system?
A) (7, 10)
B) (7, 4)
C) (11, 7)
D) (7, 5)
E) (3, 7)
4.
Which of the following can NOT be the product of two consecutive odd numbers?
A) 268323
B) 5326863
C) 2557
D) 675683
E) 10403
5.
In the sequence of 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, ...,19, ..., 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 179th position?
A) 20
B) 17
C) 179
D) 16
E) 19
6.
If P is a prime number larger than 2, which of the following
could
also be evaluated as a prime number?
A) 21P + 20
B) 21P + 25
C) 21P + 21
D) 21P + 17
E) 21P + 18
7.
Some of the historical "natural units" for the length are listed below:
unit name
meaning
inches per unit
digit
The width of a finger
0.75
nail
The length of the last two joints of the middle finger
2.25
palm
The width of the palm
3
hand
The breadth of the hand
4
shaftment
The width of the hand and outstretched thumb
6
span
The width of the outstretched hand
9
cubit
The length from the tip of the thumb to the tip of the little finger
18
How many cubit(s) are equivalent to 180 shaftments?
8.
If 11 ≤ w ≤ 19, 29 ≤ x ≤ 32 and 27 ≤ y ≤ 28 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 = 50° and ∠BAO = 48°. What is the measure of angle ∠AOC?
A) 164°
B) 160°
C) 166°
D) 170°
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
3
of the boys and
2
3
of the girls choose foreign languages. If the number of girls in the school is
3
4
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
)(1 +
7
9
)(1 +
8
10
) =
12.
In the above figure, what is p + q? Note that the figure may not be drawn to scale.
13.
If
(M − N)
^{2}
= 55 and MN = -9, what is the value of
(M + N)
^{2}
?
14.
If M = 5x − 3 and N = 3x + 3, for what value of x is 5M = 7N?
15.
The cost to purify a certain metal to 99.0% is $140.00 per pound. Then each 0.1% increase will cost $24.00 more per pound until reaching 99.9%. After that, each 0.01% increase will cost $31.00 more per pound until reaching 99.99%. What is the cost (in dollars) per pound to purify the metal to 99.94%?
16.
How many even numbers from -7000 to 7000 inclusively are divisible by 19?
17.
When P, Q, and R are divided by 15, the remainders are 3, 8, and 5 respectively. What is the remainder when PQR is divided by 15?
18.
If m is an integer and
(m + 1)
^{m}
is an odd number, which statement(s) must be true?
I.
m
^{2}
+ 1 is odd
II.m
m
^{2}
is odd
III.(m + 1)(m + 3) is odd
A) I and II
B) II and III
C) none
D) I and III
E) I only
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