UPCAT - MATH

• In a triangle, the second angle is 35 degrees more than the first angle and the third angle is 25 degrees more than the first angle. What is the largest angle?

  75 degrees
• The height of a triangle is 8 m longer than its base. If its area is 120 sq. m, what is the length of its base?

  12 m
• If one number is three times as large as another number. When the smaller number is increased by 19, the result is 6 less than twice the larger number. What is the larger number?

  15
• $x^2-5x/x^2-25$

  
  

  
  

  x/x+5
• Find the radius of the circumscribed circle to the right triangle with legs 6 cm and 3 cm.

  3 sqrt. of 5 / 2
• Simplify: $(2c^2-1)(c+2) - (2c^2-c^3)$


  $3c^3+$$2c^2-c-2$
• $(x^2-3x+2/x^2-4)+$$(x+3/x+2)$


  $2x+$$2/x+$$2$
• Which of the following is true about the product of three consecutive integers?

  It is always a multiple of 6
• The remainder is 49 when an integer N is divided by 60. What would be the remainder when N is divided by 15?

  4
• What is the smallest positive integer x for which 45x is a perfect cube?

  75
• Let a, b, and c be nonzero. Which of the following is equal to:

  3a^2b^3c^-2/ (pi^0a^-1b^2c)^3

  3a^5/b^3c^5
• Express a in terms of b in a/b^2 - a/b +1 = 0

  a= b^2/b-1