15-second question1. Quadrilateral ABCD is inscribed in a circle. Ifand, what is? [85 degrees]2. The value of a certain ancient artifact appreciates 10% every year. Two years ago, its values was set at 500,000 pesos. How much is the artifact now? [P 605,000]3. Find the real roots of the equation? [-1/2,0]4. Inwith, ifand, what is? [40 degress]5. If x is 10% o fy, and y is 40% of z, then z is how many percent of x? [2500%]6. In a class of 40 students, 20 have brothers, 15 have sisters, and 5 have both brothers and sisters. How many students in the class are single child in the family? [10]7. In the graph of, for what values of x is the graph situated above the x-axis? [ x>0]8. A demograher predicts that the population of a country t years from now can be modeled by the function. Using this model, after how many years will the current population double? [30]9. if, what isin terms of a? [2a/3]10. What is the remainder whenis divided by? [7/4]30-second questions1. In a circle centerred at (1,-1), one endpoint of a diameter lies at (4,2). Find the coordinates of the other endpoint of this diameter? [(-2,4)]2. Factor completely the expressionover the set of real numbers. [x(2x+1)(2x^2+1)]3. The first three terms of an arithmetic sequence are,, and. What is the fifth term of the sequence? [30]4. If, what is? [17]5. 5 points are on the coordinate of plane, no three of which are collinear. How many polygons can be drawn with these points as vertices? [16]1-minute question1. Let f be a quadratic function such that f(-1)=0, and f(0)=f(1)=-8. What is f(3)? [16]2. Find the number of permutations of letters of the word CHALLENGE. Evaluate factorials in your answer. [90,720]3. Find all x between 0 degrees and 90 degrees such that[30 degrees, 45 degrees]4. Three vertices of a parallelogram are (0,0), (4,0), and (1,3). Find the coordinates of the fourth vertex so that the resulting parallelogram has the largest possible perimeter. [(-3,3)]5. Ifand, find the values ofand. [(2,2,3)]

15-second quesition1. What is the sum of all multiples of 4 between 10 and 30? [100]2. Let ABC be an acute triangle inscribed in a circle with center O. If, what is angle ABC? [57 degrees]3. In rolling a pair of dice, what is the probability of getting a sum of 5? [1/9]4. If 5 arithmetic means are inserted between -15 and 9, what is the largest of such means? [5]5. Factor completely the expression. [x(x+1)(2x+3)]6. If 9^x=10, what is 27^{2x}? [1000]7. Solve for x in the inequality (2x+5)^2\sqrt{5x}-1\le 0 [-5/2, 1/5]8. The first term of a geometric sequence is 32, and its common ratio is 2. What is the 5th term? [3]9. If (x-2) is a factor of, what is k? [-3]10. A snail crawls 16 meters on the first hour, 12 meters on the second hour, and every succeeding hour, it crawls only 3/4 the distance it crawled the previous hour. Can it reach a total distance of 60 meters from where it started after a finite number of hours? [YES]

30-second question1. In an investment that promises a rate of 10% compounded annually, how much are you going to invest now in order to receive Php 544,00 in 2 years? [ PhP450,000]2. Ifand 0