International student entrance test questions

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   Evaluate the following expression1/3-1/7+1/2
A.31/42
B.29/42
C.− 1/21
D. 41/42
Evaluate (-2/3)
A.9/4
B.4/9
C.1/4
D.-9/4
 Evaluate the expression  e2ln 8     without using a calculator.
A.64
B.ln64
C.ln8
D.16
  A right-angled triangle has shorter side lengths exactly and  2xy  units respectively, where  x  and   y   are positive real numbers such that   y   is greater than  x . Find an exact expression for the length of the hypotenuse.
A.
B.
C.
D.
 Test the equation  for symmetry to determine the correct graph.
A.
B.
C.
D.
 An equation of the line passing through the points   P (2 , 3) and  Q (3 , 8) in the xy-plane is which one of the following?
A. y = −5x +13
B. y = 5x − 7
C. y = −5x + 23
D. y = x + 5
Which one of the following equations describes the circle in the xy-plane with centre   P (−2 , 2) and radius 3 units?
A.
B.
C.
D.
   Find the domain and range of   f (x) =
A. Domain: [−3 , 3] , Range: [−3 , 0]
B.Domain: [−9 , 9], Range: [−9 , 9]
C.Domain: [−3 , 3] , Range: [0 , 3]
D.Domain: [−3 , 3] , Range: all real numbers
Find the exact value of sin( ) and con( )
A.
B.
C.
D.
  Sketch the graph of the function
A.
B.
C.
D.

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