The Lord’s Wisdom Academy of Caloocan Inc. 1162 Santolan St., Corner Guyabano St. Area D., Camarin Caloocan City Junior High School Department Second Quarter Examination in Mathematics 10 Name: __________________________ Grade/Section: __________________Score: __________ Teacher: ________________________ Date: _______________ Parent’s Signature: __________ I. Read the following questions carefully. Write only the letter that best answers the question on the space provided before each number. ____1. By removing the variables in polynomial 5x3 + 3x2 – x – 5, what are the coefficients to be used for synthetic division? A. 5, 3, 1, 5 C. 5, 3, 5 B. 5, 3, -1, -5 D. 5, 3, -5 ____2. What is the quotient of 4x – 2x – 2x + 3x -18 and 2x +3? 4 3 2 A. 2x3 – 4x2 +5x -6 C. 4x3 – 8x2 +10x -12 B. 2x3 + 4x2 +5x -6 D. 4x3 + 8x2 +10x -12 ____3. What is the remainder when P(x) = x +6x +1 is divided by x + 2? 4 A. 4 B. 5 C. 6 D. 7 ____4. Which of the following is the factor of x4 – 6x2 – 5x + 6? A. x – 3 B. x – 5 C. x + 5 D. x + 7 ____5. Which is NOT the zero of 36x4 – 13x2 + 1? A. ¼ B. ½ C. 1/3 D. -1/3 ____6. What is the degree of the polynomial x – x – 4? 4 2 A. -4 B. -1 C. 2 D. 4 ____7. How many turning points are there in quartic function? A. 3 B. 4 C. 5 D. 6 ____8. Which binomial is NOT the factor of x – 7x +6? 3 A. x – 1 B. x – 2 C. x – 3 D. x + 4 ____9. If the leading coefficient of a polynomial is -4 and the degree is 4, what is the end behavior of the graph? A. Falling to the left and right B. Falling to the left, raising to the right C. Raising to the left and right D. Raising to the left, falling to the right ____10. What is the y-intercept of the polynomial 8x3 – 7x +6? A. -7 B. 3 C. 6 D. 8 ____11. What is the mathematical instrument used to draw a circle? A. Compass C. Protractor B. L-square D. Ruler ____12. In Ꙩ S, the diameter is 24. What is the radius? A. 4 B. 12 C. 16 D. 18 ____13. Which of the following defines a chord? A. A line segment whose endpoints are on the circle. B. A line that passes through the circle at exactly one point. C. A line that passes through the circle at exactly two points. D. A segment that passes through the circle at exactly one point. ____14. Which of the following is NOT a kind of arc? A. Intercepted arc C. Minor arc B. Major arc D. Semicircle ____15. If the measure of the central angle is 45ᵒ, what is the measure of the intercepted arc? A. 135ᵒ B. 22.5ᵒ C. 45ᵒ D. 90ᵒ ____16. What do you call to the angle whose vertex is on the circle and the side contains chords of the circle? A. Central angle C. Inscribed angle B. Circumscribed angle D. Intercepted angle
____17. What type of angle is formed when an intercepted arcs forms a semicircle? A. Acute C. Right B. Obtuse D. Straight ____18. What do you call on the line that intersects the circle at exactly two points? A. Tangent C. Chord B. Secant D. Diameter V ____19. In Ꙩ S at the right, what is m∠VSI if mVI = 140? A. 35 B. 70 S C. 140 I D. 280 ____20. Quadrilateral TOYS is inscribed in Ꙩ E. If m∠STO=78 and m ∠TSY=95, What is the measure of ∠TOY? T A. 78 B. 85 78⁰ C. 95 S 95⁰ ∙E ?O D. 102 Y ll. Find the quotient and the remainder of the following polynomials. 1. (p4 +5p3 -11p2 -25p+29)÷(p+6) Q =__________________ R =___________ 2. (y4 -8y3 +10y2 +2y+4) ÷ (y-2) Q =__________________ R =___________ 3. (8v5 +32v4 +5v+20) ÷ (v+4) Q =__________________ R =___________ 4. (3x3 -4x2 -17x+6) ÷ (3x-1) Q =__________________ R =___________ 5. (4v3 +6v2 -8v-12) ÷ (2v-3) Q =__________________ R =___________ lll. Use the given figure to answer the following questions. Write your answer on the space provided. 1. If m∠��� = 28, what is the measure of ��? ___________ 2. If m�� = 124, what is the measure of ∠���? ___________ 3. If m∠��� = 28, what is the measure of ��? ___________ 4. If m�� = 28, what is the measure of ∠���? ___________ 5. If m∠�CA = 90, what is the measure of ∠�AE? ___________ lV. Find the indicated measures. Use the figure on the right. Write your answer on the space provided. 1. If �� ≅ �� and SR = 19 unit, then PQ = ______. 2. If PQ = 24 units, then PA = ________. 3. If PQ = 18 cm, SR = 18 cm, and AO = 12 cm, then OB = ______. 4. If OB = 6 in and SR = 16 in, then OR = _______. 5. If OR = 25 cm and OB = 7 cm, then RS = _________.
V. In each of the given figure, find the measure of the unknown angle (x). Write your answer on space provided. 1. x= _____ 2. x = _____ 2. x = _____ 4. x = ____ 3. x = _____