Cluster- Grade-9-3RD- Quarter- Summative-TEST PDF

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Republic of the PhilippinesDepartment of EducationRegion XI Division of Davao City CLUSTER IV SECONDARY AND INTEGRATED SCHOOLS Second Congressional District, Davao City MATHEMATICS 9 3 rd QUARTER SUMMATIVE TESTDirections: Read the following mathematical statements carefully. Choose the letter of the...

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Republi Republicc of the Philipp Philippine ine iness

Department of Ed Educa uca ucation tion Region XI Division of Davao City

CLUSTER IV SECONDARY AND INTEGRATED SCHOOLS Second Congressional District, Davao City

MATHEMATICS 9 3rd QUARTER SUMMATIVE TEST Directions: Read the following mathematical statements carefully. Choose the letter of the correct answer and write it on the separate paper. 3

1. Given the radical √32, what will be its equivalent value? 3 3 B. 4 √3 C. 2√5 A. 2 √4 5 2. What is the exponential form of √23 ?

1

5

5

3

C. 25

B. 2 3

A. 2 5

D. 6√3

2 4

D. 2 5

3. Which of the following is the radical form of the expression 𝑦5 𝑧 5 ? A.√𝑦 2𝑧 4

C. √𝑦 2𝑧 4

B. √𝑦 5 𝑧 5 4

5

D. √𝑦 2𝑧 4 10

4. Which of the following is the radical exponent form of the expression 3√𝑥𝑦 ? 1

1

D. (𝑥𝑦) 3 A. 𝑥𝑦3 B.𝑥 3 𝑦 3 C 𝑥𝑦 3 5. A car travels a distance of d km in t hours. The formula that relates d to t is d = kt. What kind of variation is it? A. direct B. inverse C. joint D. combined 6. The length of time a car travels varies inversely as its speed. Let t = length of time, r = speed, and k is a constant of the variation. What equation relates t and r? k t B. r  C. t  k r D. r  k t A. t  r k 7. What is the simplified form of? √ A.

5

B.

7

5√3

75 49

? C.

7

3√5 7

D. 5

8. What is the difference if 4 3 is subtracted from 8 3 ? A. 12 3 B. 12 3 C. 4 3 D.  4 3 9. How can we write into equation the statement, “y varies directly as x and inversely as b”? 𝑘𝑏 𝑘𝑥 A. xy = kb B. yx = kb C. y = D. y = 𝑏 𝑥 10. Which of the following illustrates a combined variation? 5𝑥 5 D. y = 5xz A. y = 5x B. y = C. y = 𝑥 𝑧

3

11. Simplify ( √7 )3. A. 3

B. 7

C. 49

D. 343

4

12. What is the result after simplifying √81 ? A. 4√3

B. 3

C. 4

D. √4 4

13. Which of the following is TRUE? 1

A. x  2 y 

1 2 x y

O

B.  9x   1

C. 3 1  1

D.

x2 1

1

 x2

x4

14. Evaluate −33 . 22 . 100 . A.−108 B. 0 C.−60 D. 108 15. A quadrilateral with pairs of opposite sides are parallel and equal and all angles are equal is ______. A. Trapezoid B. Rhombus C. Rectangle D. Parallelogram 16. Consecutive angles of a parallelogram are _______________. A. Complementary B. Congruent C. Parallel D. Supplementary 17. A quadrilateral with its interior angles is right and its sides are equal. A. Square B. Rhombus C. Rectangle D. Parallelogram 18. The figure below is a parallelogram. If 𝐷𝐶 = 100 units, what is 𝐴𝐵? A. B. C. D.

70 units 80 units 90 units 100 units

19. Which of the following conditions is NOT sufficient to prove that a quadrilateral is a rectangle? A. Two angles are complementary. C. Two pairs of opposite sides are parallel. B. Two diagonals bisect each other. D. Two pairs of opposite sides are congruent. 20. How do you describe any two opposite angles in a parallelogram? A. They are always congruent. C. They are complementary. B. They are supplementary. D. They are both right angles. 21. Which of the following quadrilaterals has diagonals that do not bisect each other? A. Square B. Rhombus C. Rectangle D. Trapezoid 22. Which of the following conditions is NOT sufficient to prove that a quadrilateral is a parallelogram? A. Two pairs of sides are parallel. C. Two angles are supplementary. B. Two diagonals bisect each other. D. Two pairs of opposite sides are congruent. 23. Which theorem stated as “The segment that joins the midpoints of two sides of a triangle is parallel to the third side and half as long”? A. Kite B. Midline C. Midsegment D. Trapezoid For item 24 – 26. Use isosceles trapezoid MARO.

24. Which theorem does NOT justify the figure above? A. The base angles of an isosceles trapezoid are congruent. B.Opposite angles of an isosceles trapezoid are supplementary. C. The diagonals of an isosceles trapezoid are congruent D. The bases of an isosceles trapezoid are congruent.

25. Which of the following is equal to the side 𝑂𝑅 ? A. 𝑅𝐴 B. 𝑂𝑀 C. 𝐴𝑀 D. 𝑂𝐴 26. What is the value of x if 𝑚∠𝐴𝑀𝑂 = 6𝑥 + 5 and 𝑚∠𝑀𝑂𝑅 = 125°? A. 20o B. 25o C. 30o D. 35 27. Which of the following statements is true? A. A trapezoid can have four equal sides. B. A trapezoid can have three right angles. C. The base angles of an isosceles trapezoid are congruent. D. The diagonals of an isosceles trapezoid bisect each other. 28. Which of the following is/are true about the proportion? I. The equality of the two ratios. II. The product of the extremes is equal to the product of the means. A. I only B. II only C. Both I and II D. Neither I nor II 29. Using the figure below, which proportion is correct? A.

𝑆𝑉 𝑇𝑊

𝑆𝑇 B. 𝑂𝑇

=

=

𝑂𝑆 𝑆𝑇

𝑉0 𝑂𝑊

C. 𝑉𝑊 = 𝑇𝑊 𝑂𝑊 𝑆𝑉

D. 𝑂𝑇 = 𝑂𝑆

𝑂𝑉 𝑂𝑊

30. Supplementary angles are two angles whose sum of the measures is ________. A. 90° B. 180° C. 360° D. 720° 31. Which theorem stated as “The median of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases”? A. Kite B. Midline C. Midsegment D. Trapezoid 32. If the sum of the two bases of a trapezoid is 30 cm, then what is the measure of its median? A. 15 cm B. 25 cm C. 35 cm D. 45 cm 33. If one base angle of an isosceles trapezoid measures 120°, then what is the measure of the other? A. 60° B. 80° C. 100° D. 120° 34. If one diagonal of an isosceles trapezoid measures 18 𝑐𝑚, then what is the measure of the other? A. 8 cm B. 18 cm C. 28 cm D. 38 cm 35. Which of the following reason proves that this quadrilateral is a parallelogram? A. Opposite angles are congruent. B. Two consecutive angles are supplementary. C. A pair of opposite sides are both parallel and congruent. D. The diagonal divides a parallelogram into two congruent triangles. 36. Which of the following reason proves that this quadrilateral is a parallelogram? A. The diagonals bisect each other. B. Both pairs of opposite angles are congruent. C. Two pairs of consecutive sides are congruent. D. A pair of opposite sides are both parallel and congruent. For numbers 37-38 use the figure in number 37. ______ 37. What is the perimeter of parallelogram ABCD if 𝐴𝐵 = 15 𝑐𝑚 and 𝐵𝐶 = 8 𝑐𝑚? A. 16 𝑐𝑚 B. 26 𝑐𝑚 C. 36 𝑐𝑚 D. 46 𝑐𝑚 ______ 38. How long is AE if AC is 31 𝑐𝑚? A. 14.5 𝑐𝑚 B. 15.5 𝑐𝑚 C. 16.5 𝑐𝑚 D. 17.5 𝑐𝑚

For numbers 39-40 use the figure in number 39. ______ 39. What is the value of x if 𝑚∠2 = 5𝑥 − 4° in rhombus MASK? A. 25° C. 45° B. 35° D. 55° ______ 40. What is the measure of angle A? A. 39° B.49° C. 59° D. 69° ______ 41. Which of these properties is NOT a property of a rhombus? A. diagonals bisect each other C. diagonals create angle bisectors of each angle B. diagonals are perpendicular D. diagonals are congruent ______ 42. Which of the following is NOT true about angles in a rectangle? A. diagonals are perpendicular C. diagonals bisect each other B. all angles are congruent D. opposite sides are equal and parallel ______ 43. In rectangle FACE, 𝐶𝑂 = 24 𝑐𝑚. Find the length of diagonal AE. C. 68𝑐𝑚 A. 48𝑐𝑚 D. 78 𝑐𝑚 B. 58 𝑐𝑚 ______ 44. Two consecutive angles of a rhombus have measures (𝑥 + 20)° 𝑎𝑛𝑑 (2𝑥 + 10)]°. If the measure of the larger angle is 110°, then what is the measure of the smaller angle? A. 30° B.47° C. 70° D. 87° For 45-48. Refer to the figure on the right. Quadrilateral MATH is an isosceles trapezoid with AT// MH and OS is its median. 45. If AT = 16 cm. and MH = 30 cm., What is the measure of OS? A. 8 cm.

B. 15 cm.

C. 22 cm.

D. 23 cm.

46. How long is each base if AT = x + 4, MH = 2x + 8 and OS = 18? A. 10 & 26

B. 11 & 25

C. 12 & 24

47. If m M = x + 6 and m A = 4x + 4, What is the measure of A. 1400

B. 1000

C. 800

D. 13 & 23 T? D. 400

48. If OS = 12 cm long and one leg measures 9 cm. What is the perimeter if one of the base is 4 cm more than the other? A. 33 cm. B. 42 cm. C. 50 cm. D. 56 cm. 49. What is the measure of each angle in a triangle whose angles have a ratio of 2:3:4? A.

40°, 55° 𝑎𝑛𝑑 85°

B. 20°, 30° 𝑎𝑛𝑑 130

C.45°, 45° 𝑎𝑛𝑑 90°

D. 40°, 60° 𝑎𝑛𝑑 80°

50. The ratio of the areas of two similar rectangular prisms is 49: 81. What is the ratio of their volumes? A. 7:9 B. 9:7 C. 343:729 D. 44:567

Answer Key 1. A 2. A 3. C

26. A 27. C 28. C

4. D 5. A 6. A

29. D 30. B 31. C

7. B 8. C 9. D

32. A 33. D 34. B

10. B 11. B 12. B 13. B

35. D 36. A 37. D 38. B

14. A 15. C

39. A 40. C

16. D 17. A

41. D 42. A

18. D 19. A

43. A 44. C

20. A 21. D 22. C 23. B

45. D 46. C 47. A 48. B

24. D 25. C

49. D 50. A....