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Science 10 (SCI10)
Ateneo de Manila University
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dl'GZ'Z'gJE 5 M'AF‘Z'IIII G 5 Secure Jhflps wwwvacribdnom :: DSCRJBD C. QSearchducument 1 org ('3 Q Q :: 2017 Metrobank—MTAP—DepEd Math Challenge Division Finals — Team Oral Competition — Grade 10 15—Second Questions J2 points each] 1. What is the slnn of the 10 consecutive integers starting from 4 '3 J 85 J 2. Find the least. value of .‘L‘ that satisfies the inequality 5 7 4:17 S 2. J 3/4 J 3. The sides of a triangle are 8, 12, and 14 cm long. A new triangle is constructed by joining the midpoints of the sides of the first triangle with segments. What is the perimeter of this new triangle? J 17 cm J 4. What is the remainder when l 7 J: + 2:52 7 3:173 is divided by .‘L‘ + 1 ‘3 J 7 J 5. Find the values ofat that satisfy the equation J:1:J + .‘L‘ : l}. J I S H J 6. A map has a smile of 2 cm is to 5 km. If a highway is 28 km, how long is it in the map? J 112 ch 7. Two chords of a cilcle intersect inside it. If the segments of one chord are 12 and 16 cm long, and one i.‘ Sr 3mm Tpsf segment of the seoond (hord is 24 (111, how long is the other segment of the seumd (110111? J 8 ch dl - .3:.:.gl5 E N171? Elill C 9 Secure J https wwwzcribdcam :::. " SCRJBD CI) 10. 11. QSEBFCNOWIMM 1 O” a Q @ == Two chords of a cilcle intersect inside it. If the segments of one chord are 12 and 16 cm long, and one ‘ segment of the seoond chord is 24 cm, how long is the other segment of the setxuul chord? J 8 ch What is the slnn of the first 1m} even positive integers? J 10 100 J What is the perimeter of a square that is inscribed in a circle with cilclnnference 101T cm? J 4J5 cm J Two men are repainting a wall. Working alone, the first. man can finish it in 1“ hours, and the second man in 12 hours. Working together, what part of the wall can they repaint, in 2 hours? J 11/30 J What is the center of the circle with equation {172 7 y2 7 4y : 1f} ‘1' J (U. 2) J SCI—Second Questions J3 points eachJ 1. The first term of a geometric sequence is It], and its third term is 20. What is its fifth term? J 4“ J 2. The legs of a right triangle are 2 and 2J2 cm long. What is the radius of the circle that circumscribes the triangle? J J5 cm J 3. What is the range of the function f(J.') : 2:1: + 4 7 2:1:2 ‘3 J (790. 9/2J J 4. What is the sum of 1 7 2 + 3 7 4 + 5 7 6+ ' - - + 2017 i.) J 1009 J 5. Find the solution set of the inequality J:(:1: — 4)(:r + 2)2 S (l. J {—2} U J[I J 6. Two factors of a third-degree polynomial P(J:) are :r + 2 and J: 7 4. If P(l}) : 8 and 19(1) : 79, find the remaining factor ofP(:L'). J 2:}; 7 1 J -E M'AF‘ :‘IIIl C i bscure Jhtlpg wen-£crlbdrom : DSCRJBD QSearchducument 1 an 61 Q El ;= 6. Two factors of a third-degree polynomial P(:1;) are :1: + 2 and :1: — 4. If 13(0) : 8 and P(1) : 79. find the remaining factor of P(:1). J 2:1; 7 1 J C. l—Minute Questions [5 points eachJ 1. The larger of two concentric circle; has radius 8 cm. If a chord of the larger circle that is tangentjo the smaller circle has length 4\/171 cm, what is the radius of the smaller circle? J 2J2 cm 2. 1f [1” g 0 5 180° and cos!) : 7%. what is sinU + tan!) '3 J 74x/é/3 V‘: 1 11': — 1 3. Solve for :1: in the equation L : 3. J 5/3 V'JIJ+ 7 11:1:7 1 4. Find all ordered pairs (:1: y] that satisfy both equations :1: + y : 4 and y : 2:1:2 — :1: + 2. J [—1. 5), (1. 3) 5. An equilateral triangle and a square have equal perimetels. If the area of the square is 45 cmZ, what is the area of the triangle? J 2Ih/3 cm2 6. From a given convex quadrilateral. a second quadrilateral is formed by joining the midpoints of its adjacent sides with a segment. If the siun of the lengths of the diagonals of the given quadrilateral is 24 cm, what is the perimeter of the second quadrilateral? J 24 cm Clincher Questions (1. A line has slope 2 and passe-1 through the point (4. 1). What is its g-intercept‘s' J 77 or (U. 77] v 1113‘ Elill C i becure Jhflps awn-.1 ::: ":' SCRJBD QSEBKNOWW‘M 1 an a Q g == Clincher Questions CD (1. A line has slope 2 and passes through the point (4. 1). What is its y-intercept‘f J —7 or (U. —7] J 1. lfrrl : 2 and an 2 311,”_1 + 2 for '11 2 2, what is (1 ‘3 J 80 J (1. A number is reduced by :1) percent. How many percent should it he raised then to go back to the original number? J llltlp/ (10f) — 30) J Do—or—Die Question DoD. Find three positive integers that form a geometric sequence, given that their sum is 21 and the sum of their reciprocals is 112. J 3. 6. 12 J This is a property of the Metrobank Foundation and the Mathematics Teachers Association of the Philippines. This material is not for sale, reproduction, and/or distribution. @2017 Show all A |-; s; m:- mam
