MTAP -Third Year 2004 Sectoral Contest

2004 Metrobank-MTAP-DepEd Math Challenge Sectoral Finals – Third Year Category A 15-second questions 1. If 203 = 2x x 5y , what are the values of x and y? [x=6, y=3] 2. An angle is 14º more than its complement. Find its supplement. [128º] 3. A point P lies on the terminal side of a 120º angle in standard position. If 0 is the origin and OP  4 , find the coordinates of P. [(-2), 2 3 ] 4. What is the greatest number of points at which 3 circles may intersect? [ 6 ] 5. Two sides of an equilateral triangle are 2x–3 and x+4. What is the perimeter of the triangle? [33] 6. What is the smaller angle between the hands of a clock at 5:15? [67.5] 7. A balloon can be seen from two observation posts. From A, the angle of elevation of the balloon is 30º

and from B, it is 45º. If the balloon is 1000m high, what is the maximum possible distance between A and B? [(1000+ 1000 2 )m] 8. For what values of x is x 2  3 x  10  0 ? [ -2