Republic of the Philippines DEPARTMENT OF EDUCATION Region VI-Western Visayas SCHOOLS DIVISION OF BAGO CITY SECOND UNIFIED QUARTERLY ASSESSMENT S.Y. 2023-2024 GRADE 10 MATHEMATICS I. NUMERACY DIRECTION: Perform the indicated operations. Copy and answer on your Answer Sheet. 1. 2. 3. 4. 5. 12 + (-20) = ___________ 15 – (-9) = ____________ (-7) + 9 = ___________ 10 x 8 = ____________ (-20) ÷ 5 = __________ 6. 24 + (-50) = ________________ 7. 5 – 5 = ____________________ 8. (-10) x 0 = _________________ 9. (-16) - 8 = _________________ 10. 42 ÷ (-6) = _______________ II.COMPETENCY-BASED QUESTIONS DIRECTIONS: Read the following questions/statements carefully and pick from the given choices the correct answer. Write the letter of the correct answer. If the question has no choices, write the correct answer in your answer sheet. ONLY SCIENTIFIC CALCULATOR IS ALLOWED. 01. Which of the following is an example of polynomial function? 4 1 A.𝑓(𝑥) = 𝑥 3 + 3𝑥 − 1 C.𝑓(𝑥) = −2𝑥 3 − 2 𝑥 2 3 B. 𝑓(𝑥) = 2𝑥 3 + 2 𝑥 2 D. 𝑓(𝑥) = 2𝑥 3 − √5𝑥 − 5 02. What should n be if f(x)=𝑥 𝑛 defines a polynomial function? A. An integer C. any number B. A nonnegative integer. D. any number except 0 03. One of the following is NOT a polynomial function. Which is it? A. f(x) = 4x3 + 3x2 + 4x – 12 C. p(x) = x-4 + 8x3 – x2 + 2x + 8 3 2 B. f(c) = x - 6x + 12x + 4 D. f(x) = 7x5 – 9x3 + 5x –2 04.The leading coefficient of the polynomial 5x10 + 3x12 +4x6 + x4 – x is? A. 4 B. 5 C. 10 D. 12 05. What is the degree of the polynomial function f(x) = 2x5 + 3x3 –x2 + 5x – 4? A. 5 B. 2 C. 3 D. 4 06. What is the quotient when x2-25 s divided by x-5? A. x – 5 B. x - 25 C. x + 5 D. x + 25 07. Mr. Pineda wants to paint the ceiling of a room that has a length of (𝑎2 + 2𝑎𝑏 + 𝑏 2 ) 𝑚𝑒𝑡𝑒𝑟𝑠 and a width of (a+b) meters. If one can of paint will cover (𝑎 + 𝑏)2 square meter. What is the minimum number of cans of painted needed? (in polynomial) 3 3 A. (𝑎2 + 2𝑎𝑏 + 𝑏 2 ) C. ( 2 𝑎2 + 3𝑎𝑏 + 2 𝑏 2 ) B. (𝑎3 + 3𝑎2 𝑏 + 𝑏 3 ) D. (𝑎 + 𝑏)2 08. Which of the following is NOT a polynomial function? A. 𝑓(𝑥) = 7𝑥 −5 + 3𝑥 + 6 C. 𝑓(𝑥) = 𝑥 + 5 B. 𝑓(𝑥) = 2𝑥 4 − 3𝑥 2 − 𝑥 + 3 D. 𝑓(𝑥) = 𝑥 2 − 𝑥 + 1 09. The degree of the polynomial function defined by P(x) = 14𝑥 𝑛+4 + 5𝑥 2𝑛 - 3𝑥 𝑛 - 4 when n =3 is… A. third B. fourth C. sixth D. seventh 3 10. Shown below is the synthetic division process when 5𝑥 + 6x + 50 is divided by x + 2. What is the quotient? -2 5 5 2 A. 5𝑥 − 10𝑥 + 26 − 0 - 10 -10 6 20 26 50 -52 -2 C. 5𝑥 2 + 10𝑥 + 26 + 2 𝑥+2 B. 5𝑥 3 + 10𝑥 2 + 26𝑥 + 102 D. 5𝑥 2 + 26𝑥 − 102 Page 1 of 4 102 𝑥−2 11.Your classmate Caleb encounters difficulties in showing a sketch of the graph of y=2x3+3x2 -4x-6. You know that the quickest technique is the leading coefficient test. You want to help Caleb in his problem. What hint/clue should you give? A. The graph falls to the left and rises to the right B. The graph rises to both left and right. C. The graph rises to the left and falls to the right. D. The graph falls to both left and right. 12. What is the end behavior of the graph of a polynomial function if the leading coefficient is positive and the degree is even? A. rises to the left and rises to the right. C. falls to the left and rises to the right. B. rises to the left and falls to the right. D. falls to the left and falls the right. 13. Which of the following could be the graph of the polynomial function 𝑦 = 𝑥 3 − 4𝑥2+3x-12 A. C. B. D. 14. The number of citizen (N) of Barangay Balingasag in x years is predicted to increase and can modeled by the function . After 3 years, how many citizens will be residing now at Balingasag? A. 18,409 B. 19,409 C. 20,409 D. 21,409 15. A car manufacturer determines that its profit, P, in thousands of pesos, can be modeled by the function where x represents the number of cars sold. What is the profit when x =20? A.Php 101.25 C. Php 217,000.00 B.Php 1,039,500.00 D. Php 10,125,297.00 Read and analyze the given problem, to answer items 16-18. The profit P (in millions) of a certain brand of energy drink in a year is represented by the polynomial equation P(t) = 5t3 + 20t2 – 30t – 1040 where t is the number of years. 16. What polynomial equation represents the profit of a certain brand of energy drink in a year? Write the polynomial equation in your answer sheet. 17. What variable used in the problem represents the number of years? 18. How much is the profit after 6 years? 19. A set of all points in a plane that are equidistant from a fixed point. A. Triangle B. Square C. Rhombus D. Circle 20. A_____ of a circle is a line segment with endpoints on the circle. A. Chord B. Tangent C. Radius D. Secant 21. A line, a segment, or a ray that intersects a circle at exactly two points. A. Chord B. Secant C. Center D. Radius 22. What is an angle whose vertex is on a circle and whose sides contain chords of the circle? A. Central angle C. Circumscribed angle B. Inscribed angle D. Intercepted angle Page 2 of 4 23. What is an angle formed by two rays whose vertex is the center of the circle? A. inscribed angle C. minor arc B. central angle D. major arc For items number 30 to 31, refer to the figure on the right 24. In the figure on the right, which is a central angle? A. LSRT B. LPQR C. LQVT D. LQST 25. which is the inscribed angle? A. LSRT B. LPQR C. LQVT D. LQST P R S Q T V For items number 26 to 29, refer to the figure on the right AG is a diameter ʘF. 26. What is the m AD if mLDFG = 65? A. 65⁰ B. 115⁰ C. 130⁰ 27. What is the mDG if mLDFG = 80⁰ A. 100⁰ B. 80⁰ C. 40⁰ 28. What is the mLDFA if mDA = 120⁰? A. 180⁰ B. 120⁰ C. 60⁰ 29. What is the mLDFG if mLDFA = 145⁰? A. 35⁰ B. 55⁰ C. 70⁰ D D. 230⁰ G D. 20⁰ D. 30⁰ F A D. 145⁰ 30. What kind of angle is the inscribed angle that intercepts a semicircle? A. straight B. obtuse C. right D. acute 31. Given the figure on the right, AC and DB are diameters of ⊙R. If m∠ARB = 75, what is the m∠BRC? A. 75 B. 90 C. 105 D. 120 32. Given the same figure in item 31, what can you say about the measures of ∠BDC and ∠ABD? A. congruent C. complementary B. supplementary D. cannot be determined For item numbers 33 to 35 refer to the figure on the right. 33. Find m LR, if mAB = 80 A. 40 B. 160 C. 45 D. 47.5 34. Find mAR, if m LACR = 90 A. 90 B. 110 C. 45 D. 50 35. Find mLARB, if mBA = 90 and mAR= 90. A. 35 B. 45 C. 180 D. 90 36. Based on the figure on the left, if the m RM = 160 and m RN = 60 . What is m ∠RAM? A. 360 B.180 C. 100 Page 3 of 4 D. 50 A B 1 C R For items 37 to , 40 refer to the figure below. 37. If A. 600 , what is m FA? B. 1200 38. If m ED = 90 , what is A. 300 C. 300 D. 1000 C. 600 D. 900 C. 250 D. 300 , what is m DA ? B. 2400 C. 2000 D. 1200 ? B. 450 39. If m DA = 60 and m AF = 30, what is A. 150 B. 200 40. If m AF = 60 and A. 3600 ? 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