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Transcript

1. If f(x) = 4x 2- 2x - 1, then f (1/2) equals a. 1 b. -1 c. 0 d. 1/2 e. 2 2. A car is purchased for $10 000. At the end of each year, its value is 30% less than its value at the beginning of the year. The minimum number of years for its value to be less than $4200 is a. 1 b. 2 c.3 d. 4 e. 5 3. Six distinct points are located on a circle. The maximum number of line segments joining these points such that no two line segments intersect inside the circle is a. 18 b. 15 c. 11 4. The value of ( d. 9 )( ) e. 8 is a. 2 b. 4 c. 8 d. 24 e. 96 5. If n ! is defined as the product of the positive integers from 1 to n inclusive, the final digit in the sum 1! + 2!+ 3! + 4! + 5! ... + 12! is a. 0 b.1 c.2 d. 3 e. 8 6. A whole number is called an ascending number if each digit in the number is greater than the digit on its left. An example of an ascending number 2478. The number of ascending numbers between 4000 and 5000 is a. 7 b. 8 c. 9 d. 10 e. 11 7. If (3x - 1) (x - 2 ) = 0, then the value of 3x - 1 must be a. 1/3 only b. 0 only c. 1/3 or 0 d. 1/3 or 2 e. 0 or 5 8. A trapezoid has three equal sides and the base is two units less than the sum of these three sides. If the distance between the parallel sides is 5 units, then the area of the trapezoid in square units is a. 13 b. 35 c.65 d. 125 e. 185 9. The line with equation y = 3x + 1 is reflected on the line y = 4. The equation of the reflected line is a. y = 1/3x + 1 b. y = -1/3x + 7 d. y = -3x + 6 e. y = -3x + 7 c. y = -1/3x + 6 10. In a sequence of six numbers, the first number is 4 and the last number is 47. Each number after the second equals the sum of the previous two numbers. If S is the sum of the six numbers in this sequence, then S lies in the interval. a. 51 to 90 b. 91 to 100 c. 101 to 110 d. 111 to 120 e. 121 to 160 11. The sum of the positive integer divisors of 2is a. 2 + 1 b. 2 - 1 c. 2 + 1 d. 2 + 1 12. If x, y, and z are any non-zero real numbers and | | | | | | | | then the number of possible values for w is a. 1 b. 2 c. 3 d. 4 e more than 4 e. 2 -1