Randomly Generated Mathematics multiple choice Practice Exam
Grade: 12
Number of questions: 10

1. Which of the following is the volume of the solid obtained when the
graph y=sin x on [0, ] is rotated about the x - axis?
     
     
     
     

2. Which one of the following NOT increasing function?
   f(x)=3-x   
   f(x)=ln(x-100)  
   f(x)=lnx2,x>0   
     

3. be vectors in the space, Which one of the following is the cosine of the angle between
     
     
     
     

4. On the interval [0, 2], what is the solution set of sin 2x=cosx?
     
     
     
     

5. If p(x) = x - 4, q(x) = X2 + 8 and r(x) = X2 - 2x - 8, then which of the following is the most simplified expression of
     
     
     
     

6. Suppose a person has invested a fixed amount of capital for a year on an investment that pays 20% interest compounded semiannually. What is the effective interest rate of the investment at the end of the year?
   21%   
   20.1%   
   20%   
   25%   

7. Let the center of an ellipse be at (1, 4) and two of its vertices be at (10,4) and (1,2). What is the equation of the ellipse?
   9(x - 1)2 + 4(y _4)2 =4   
   4(x - 1)2 + 81(y - 4)2 = 324   
   2(x - 1)2 + 9(y - 4)2 = 4   
   (x - 1)2 + 9(y - 4)2 = 4   

8. Let such that A+ 2Br=0,
Then Which of the following is the value of y?
   0   
   -8   
     
   any real number  

9. Let For what value of a is f'(a)=1?
     
     
     
   3  

10. The following is a table of simple frequency distribution of a data with variable x.
x 1 3 4 5 7
Frequency 2 5 6 5 2

The standard deviation of the data is equal to:
   3  
     
     
     



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