SW-MO ARML Practice Problems 4/18/2010 – (03 R2-3) Let In , and lies on so that bisects and . Compute . T = TNYWR. D (04 T-3) is inscribed in a circle with = 4 and = 1. ABCDE AB = BC = CD = DE AE Compute . (04 SR-1) An isosceles triangle has a perimeter of 16 and integer sides. Compute the largest possible area for the triangle. (05 SR-5) Let Compute the smallest positive value of in degrees such that T = TNYWR. . (Get in terms of T.) (05 SR-13) Let Compute the value of . T = TNYWR. (05 SR-10) Let Compute the sum of the squares of the first terms of the T = TNYWR. T sequence: (Note: = 56) T (06 T-4) For in radians, if and , and the least positive value for equals , compute x x k. (06 SR-7) Let Compute the maximum value of the function (Note: = T = TNYWR. T 6) (07 R1-2) Let Compute the sum of the solutions to the equation , where . T = TNYWR. (08 I-6) Let x be in radians with . If , then can be written as , where and are a, b, c positive integers. Compute the sum a + b + c. (08 R1-3) Let In , = T = TNYWR. AB 3, = 4, and = 5. If the ratio of AC BC the area of to the area of equals , compute
SW-MO ARML Practice Problems – 4/18/2010 (03 R2-3) Let T = TNYWR. In , and D lies on so that bisects and . Compute . (04 T-3) ABCDE is inscribed in a circle with AB = BC = CD = DE = 4 and AE = 1. Compute . (04 SR-1) An isosceles triangle has a perimeter of 16 and integer sides. Compute the largest possible area for the triangle. (05 SR-5) Let T = TNYWR. Compute the smallest positive value of in degrees such that . (Get in terms of T.) (05 SR-13) Let T = TNYWR. Compute the value of . (05 SR-10) Let T = TNYWR. Compute the sum of the squares of the first T terms of the sequence: (Note: T = 56) (06 T-4) For x in radians, if and , and the least positive value for x equals , compute k. (06 SR-7) Let T = TNYWR. Compute the maximum value of the function (Note: T = 6) (07 R1-2) Let T = TNYWR. Compute the sum of the solutions to the equation , where . (08 I-6) Let x be in radians with . If , then can be written as , where a, b, and c are positive integers. Compute the sum a + b + c. (08 R1-3) Let T = TNYWR. In , AB = 3, AC = 4, and BC = 5. If the ratio of the area of to the area of equals , compute
Practice_Problems_4-18-10.docx