38. 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. In a "ID-item, Xylene got a score of 18 which is the first quartile. This means that: She got the lowest score b. Her score is lower than 75% of her classmates She surpassed 75% of her classmates d. Seventy-five percent of the class did not pass the test In a group of 55 examinees taking the 50-item test, Joan obtained a score of 38. This implies that her score is below 50'\" percentile at the upper quartile Find the missing terms in the geometric sequence 4, _. _, 108. C. b. a. 12 and 48 b. 12 and 36 c. the 55'" percentile d. below the 3'd decile c. 20 and 54 d. 24 and 48 Ryan bought a car for Php600,000. The yearly depreciation of his car is 10% of its value at the start of the year. What is its value after 4 years? Php 437,400 b. Php 438,000 c. Php 393,560 El. Php 378,000 What is the quotient when (Zx' +4):3 5:(2 +2x3) is divided by (2x2 +1) ? x2+2x3 b. x2 2x+3 c. xzZxS d. x1+2x+3 Find the quartic polynomial equation with roots -2 multiplicity 2, 3, and 2/3. 3x\" +4x3 26x2 20x +24 b. 3x\" +x3 26x2 20x+24 Php 101.25 b. Php 1,039,500.00 c. 2x' +4.1r3 mills):2 20x+ 36 d. 2x\" + x3 26x' 20x+36 A car manufacturer determines that its profit, P, in thousands of pesos, can be modeled by the function P(X) = 0.00125\"4 +X-3, where x represents the number of cars sold. What is the profit when x = 300? c. Php 3,000,000.00 d. Php 10,125,29700 The top view of a circular table shown on the right has a radius of 120 cm. Find the area of the smaller segment of the table (shaded region) determined by the 60 are. a. (2400;:seam/5hr\"2 b. 3600J3cm2 _._._ c. 2400:: cm2 d. (144001r3600J3)cm2 In the figure at the right, mQNO = 250? what is the mAPQO? 50 b. 55 c. 60 The coordinates of the vertices of a square are Hi3, 8), l(15, 8), 1(15, -4), and KB, -4}. What is the length of the diagonal of the square? 4 b.8 c. 12 cl. 65 d. 12x5 In the figure on the right, a is a secant segment and E is a tangent segment. If GI = 16 and Hi: 7, find the length of GF . If OP has a radius of 12 em, what is the length of the longest chord that can be drawn on GP? 3. 11 14 cm b. 12 b. 18cm c. 13 c. 24 cm cl. 14 cl. 30 cm e A radius of a circle has endpoints (4, 1) and [8, 2]. What is the equation that defines the circle if its center is at the fourth quadrant? a. (x~8)2 +(y~2)z :25 b. (x4)2+(y+1)2 =100 In a town fiesta singing competition with 12 contestants, in how many ways can the organizer arrange the first three singers? a. 132 b. 990 c. [x~8)2+(y72)2:100 d. (x4)2+(y+1)2:25 c. 1320 d. 1716 In how many ways can a committee of 7 students be chosen from 9 juniors and 9 seniors if there must be 4 seniors in the committee? a. The spinner on the right is spun. What is the probability of a spin that results in an even number 10584 b. 1764 or a number iess than 4? a. A nationwide survey revealed that 42% of the population likes eating pizza. If two people are 1/4 b. 3/3 c. 210 c. 1/2 d. 84 d. 3/4 8 randomly selected from the population, what is the probability that the first person likes eating pizza while the second one does not? 0.42 +(1o.42) b. 2(13042) c. 1~0.42 d. 0.42(1eo.42) Carmona National High School Grade 10 - MATHEMATICS MULTIPLE CHOICE: Read and analyze each item carefully. Choose the correct answer from the given choices. 1. A type of sequence wherein every term after the first term is obtained by adding a constant called the common difference. a. Fibonacci b. harmonic c. arithmetic d. geometric 2. Determine the common ratio of the geometric sequence -11, 22, ~44, 88, a. -2 b. -11 c. 2 cl. 11 . . . . . 3 13 3. Flnd the common difference In the arithmetic sequence _1'2'4'2' ...... 1 a. b. E c. 5 cl. 1 2 2 2 2 4. What is the next term in the geometric sequence ,2,6,18,......? a. 36 b. -36 c. 54 d. -54 5. Which term of the arithmetic sequence 11, 5,1,7 is 49? a. 10'h term b. ll'l' term c. 12'\" term cl. 13'h term 6. The leading coefcient of the polynomial 7x11 +13x12 5x7 ?.x2 + x9 is a. 7 b. 9 c. 11 d. 13 7. Two or more circles that lie on the same plane with the same center are called a. concentric circles c. tangent circles b. eccentric circles d. cotangent circles 8. A pile of wood has 15 logs in the bottom row, 13 logs in the next bottom row, and so on, with two less log in each row until the top row which consist of 1 log. How many logs are there in the pile? a. 64 b. 60 c. 56 d. 52 9. What is an angle whose vertex is on the circle and whose sides contain chords of the circle? a. central angle b. inscribed angle c. intercepted angle d. circumscribed angle 10. Jody has four kinds of juice one can of orange, one of pineapple, one of calamansi, and one of guyabano. She chooses three of these cans to take to school. If she chooses calamansi, what is the probability she also chooses pineapple? a. l b. 1 c. a d. E 8 4 3 8 11. If point M is the midpoint of E . Which of the following is true about the distances of A, B. and M? a. AM=AB b. BM=AB c. AM=MB d. 2[ARI =AM+MB 12. Which of the following can be an equation ofa circle? a. x12x+y2+5y7=0 c. 3x2 +3x+5y11=0 b. x27x+5y2+9=0 d. xz+xy28y22=0 13. Which of the following situations or activities involve permutation? a. Matching shirts and pants b. Forming different triangles out of5 points on a plane, no three of which are collinear c. Assigning telephone numbers to subscribers cl. Forming a committee from the members of a club 14. Choosing a subset ofa set is an example of a. combination b. differentiation c. integration d. permutation 15. What is the probability of getting a red card from a standard deck of cards? a. o b. 1/4 c. 1/2 d. 1 16. In tossingS coins, what is the probability of getting exactly 3 heads? a. 1 b. l c. 1 cl. 1 2 4 8 17. The median score is also the . a. 75'\" percentile b. 5"1 decile c. 3'd decile cl. 1\" quartile 18. When a distribution is divided into hundred equal parts, each score point that describes the distribution is called a 3. percentile b. decile c. quartile d. medlan