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Friday, December 7, 2012

Preparatory Exercises to the Final Examination

1)





2)





3)





4)Problem 5





5)Problem 5





6)Problem 6





7)Problem 7





8)Problem 8





9)Problem 9





10)Problem 10





11) A velocity V is given as a function of the displacement X:
V(X)= (a - b X2)1/2, where a and b are constants.

Initial position X(0)=0; Initial velocity V(0)=V0;

Derive a formula for the displacement X as a function of time t.

Saturday, October 20, 2012

SHSAT Math

SHSAT Math

This is a demo for SHSAT Math but the questions are not necessarily suitable for you.

 
[1] What is the value of 2020200/20 ?
Please select your answer:
A) 1010100               B) 1110               C) 10101             D) 111                     E) 101010

 
[2] When expressing 1/11 as a decimal, you get 0.0909090909090909..., what is the 24th place to the right of the decimal point?
Please select your answer:
A) 8                      B) 2                          C) 9                          D) 4                              E) 0

 
[3] 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 372 appear?

I
II
III
IV
V
VI
VII
VIII
IX
X

 

 

 

 

 

 

 

 

 
0
2
4
6
8
10
12
14
16
18
20
22
24
26
28
30
32
34
36
38
40
42
...
...
...
...
...
...
...
...
...

 
Please select your answer:
A) IV                 B) VII                      C) IX                         D) VI                            E) X

 
[4] Which of the following can NOT be the product of two consecutive odd numbers?
Please select your answer:
A) 260877               B) 682275             C) 12040899             D) 3599            E) 374543

 
[5] If X = 9/10 , Y = 10/11 and Z = 42/50 , which of the following is correct?
Please select your answer:
A) Z < X < Y        B) Z < Y < X        C) Y < Z < X         D) X < Y < Z         E) X < Z < Y

 
[6] Which of the following has the largest value?
Please select your answer:
A) √ 39 + √ 47     B) √ 42 + √ 44        C) √ 43 + √ 43    D) √ 43 + √ 43    E) √ 35 + √ 51
 
[7] P, Q, R,and S are on a number line with S not shown in the below graph. The length of RS is 4 times the length of PQ. What is a possible coordinate of point S?
1350745850_SHSAT_Math_7 (694x44, 4Kb)
 
Please select your answer:
A) 44          B) -42         C) 45            D) -41              E) -45

 
[8] The graph below shows the sales of various flavors in an ice cream shop. If 40 Coffee flavor ice creams were sold, what is the number of Chocolate flavor ice creams sold in the shop?
1350745817_SHSAT_Math_8 (394x243, 10Kb)
 
Please select your answer:
A) 45            B) 43             C) 44                 D) 50                  E) 46

 
[9] If each of the fractions 2/X , 3/X , and 4/X is in its lowest terms, which of the following could be a value for X?
Please select your answer:
A) 45                   B) 30                   C) 64                     D) 31                  E) 60

 
[10] P and Q are natural numbers and P + Q = 15. What is the largest possible value of 1/P + 1/Q ?
Please select your answer:
A) 1+1/13           B) 1+ 1/14           C) 1+ 1/12        D) 1+ 1/2               E) 15/56
 
[11] All the three sides of a triangle have integer lengths. If one of the sides is 20, what is the smallest possible perimeter of the triangle?
Please select your answer:
A) 41             B) 38          C) 40           D) 43                 E) can not be determined

 
[12] If a@b means (a + b) /5 , then what will 25@(24@26) = ?
Please select your answer:
A) 4                 B) 3                C) 7                 D) 6                   E) 9

 
[13] If √ x + 1 /√ x = 4, then the value of 1 + x2 /x is
Please select your answer:
A) 14               B) 10             C) 11                  D) 13                   E) 12

 
[14] .(8) - .000(1) = ?
Please select your answer:
A) .8887                B) .79997                 C) .887               D) .0007               E) .88887

 

 

 

 
[15] ABCD is a rectangle. E, and F are at the same height. If the area of the rectangle ABCD is 54, what is the area sum of the shaded triangles?
1350745900_SHSAT_Math_15 (200x120, 4Kb)
 
Please select your answer:
A) 13.5            B) 11.5            C) 14.5             D) 10.5             E) can not be determined

 

 
[16] Two triangles ABC and BCD share a common side BC. Below are the angles in degrees.

Angle BAC ABC BCA CDB DBC BCD
Degrees(°) 54 62 64 66 55 59
 

 
Which of the following is the longest line segment? Note that the diagram might not be drawn to scale.
1350745938_SHSAT_Math_16 (150x120, 3Kb)
 
Please select your answer:
A) BD                B) AB                C) CD                 D) AC                      E) BC

 
[17] 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 = 67° and BAO = 68°. What is the measure of angle ABC?
1350745975_SHSAT_Math_17 (192x199, 11Kb)
 
Please select your answer:
A) 145°   B) 135°   C) 140°   D) 120°  E) It cannot be determined from the information given.

 
[18] Nick sells candy bars at a tailgate party to raise money for his school sports club. The candy bars are sold at 3 for $2, and he brought them at 5 for $1. How many candy bars must be sold in order to raise $21?
Please select your answer:
A) 48                 B) 44                  C) 45                    D) 40                   E) 38

 
[19] ABCD is a rectangle and DEC is a triangle. If the degree measure of ADE : AED : BCE = 2 : 4 : 1, what is the degree measure of DEC? Note that the diagram might not be drawn to scale.
 
1350746011_SHSAT_Math_19 (200x100, 2Kb)
 
Please select your answer:
A) 50         B) 45            C) 30            D) 35              E) can not be determined

 
[20] A spinner shown in the diagram has 10 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 possibility that the product of the two numbers that occur in two tries is a prime?
1350746039_SHSAT_Math_20 (150x150, 8Kb)
 
Please select your answer:
A) 7 /100            B) 3 /10            C) 11 /100              D) 1 /10                  E) 2 /25

Monday, October 8, 2012

PSAT Practice Test 3

Test Information & Preparation: AP, ACT, ASVAB, CUNY, CLEP, GED, GMAT, GRE, LSAT, MCAT, NCLEX, NLN, NYBI, NYSTCE, NYC, PSAT, NMSQT, Regents, SAT, SSAT, ISEE, TOEFL, USMLE

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I am a PhD in Physics and Mathematics

I charge $30 an hour.

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Test Information & Preparation: AP, ACT, ASVAB, CUNY, CLEP, GMAT, GRE, LSAT, MCAT, NCLEX, NLN, NYBI, NYSTCE, NYC, PSAT, NMSQT), Regents, SAT, SSAT, ISEE, TOEFL, USMLE,



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