CHERISHED MOMENTS SCHOOL MATH 9

HIGH SCHOOL DEPARTMENT

DIRECTION: Choose the letter of the best answer. Write your answer on the space provided.
1
______1. In the expression − 𝑚𝑛2 , what is the base?
2
1 1
A. − 𝑚𝑛 B. m C. n D. −
2 2

______2. How is 43 related to 4−3 ?

A. 43 is the opposite of 4−3 . C. 43 is the reciprocal of 4−3 .

B. 43 is the additive inverse of 4−3 . D. 43 is the negative of 4−3 .

______3. Which shows 1 as power of 10?

A. 100 B. 101 C. 102 D. 103

𝑐4
______4. What value of n will make the statement TRUE in = 𝑐𝑛?
𝑐4

A. 8 B. 4 C. 1 D. 0
______5. Evaluate −52 ∙ 23 ∙ 30 .
A. −200 B. −60 C. 0 D. 200
𝑏5 1
______6. What value of n in = will make the equation TRUE?
𝑏𝑛 𝑏

A. −6 B. −1 C. 1 D. 6
(𝑥 3𝑛 𝑛−2 )3 .
______7. . Simplify ∗𝑥

A. 𝑥 2𝑛−1 B. 𝑥 4𝑛−2 C. 𝑥 9𝑛−6 D. 𝑥 12𝑛−6

______8. A triangle that has a 90º angle is a/an
A. acute angle C. oblique triangle
B. right triangle D. obtuse triangle
______9. A triangle can be solved when the information below is given except
A. three sides C. one side and two angles
B. three angles D. one angle and two sides
______10. In ΔABC, if C = 75º, AB = 15, and BC = 10, what is the measure of ∠𝐴?
A. 50º C. 35º
B. 40º D. 25º
______11. Which of the following is a quadratic equation?

A. 2𝑥 + 5 = 11 C. 𝑥 2 = 1
1
B. + 6 = 3 D. 𝑥 3 − 𝑥 = 4
𝑥

______12. What is the positive square root of 169?

A. 12 C. 14
B. 13 D. 15
______13. In the equation 8𝑥 + 3𝑥 2 = 5, what is the real number of c?
A. – 5 C. 5
B. 3 D. 8
______14. Which of the following has no real solution?

A. 14𝑥 2 − 7𝑥 = 0 C. 6𝑥 2 − 3𝑥 − 1 = 0

B. 𝑥 2 − 6𝑥 + 5 = 0 D. 3𝑥 2 − 2𝑥 + 1 = 0

______15. What number must be added to both sides of the equation 𝑥 2 + 12𝑥 = 13 so that the method of completing the
square can be used to solve the roots?
A. 25 C. 49
B. 36 D. 64
______16. The height of a triangle is 2 cm more than its base. Its area is 24 cm2. Find the height of the triangle.
A. 4 cm C. 8 cm
B. 6 cm D. 10 cm

______17. What is the vertex of 𝑓(𝑥) = (𝑥 − 2)2 − 4?

A. (- 2, - 4) C. (- 2, 4)
B. (2, 4) D. (2, - 4)
______18. As the number of pens you buy increases, the amount you have to pay increases. How does the number of pens
vary with the amount to be paid?
A. directly C. jointly
B. inversely D. indirectly
______19. y varies directly as x such that when 𝑥 = 10, 𝑦 = 4. Find y when 𝑥 = 15.
A. 4 C. 8
B. 6 D. 10
______20. y varies inversely as x such that when 𝑥 = 12, 𝑦 = 9. Find y when 𝑥 = 27.
A. 3 C. 4
B. 9 D. 18
______21. y varies directly as the square of x such that when 𝑥 = 3, 𝑦 = 8. Find y when 𝑥 = 18.
A. 124 C. 184
B. 168 D. 288
______22. Which proportion leads to the equation 𝑢𝑦 = 𝑣𝑥?
𝑢 𝑣 𝑢+𝑦 𝑣+𝑥
A. = C. =
𝑥 𝑦 𝑦 𝑥

𝑢 𝑣 𝑢 𝑦
B. = D. =
𝑦 𝑥 𝑣 𝑥
______23. On a scale drawing of a house with a scale of 1 cm : 2 m, the length of the house is 2.25 cm. Find the length of
the actual house.
A. 1.125 m C. 4.5 m
B. 112.5 m D. 4.5 cm
______24. A house casts a shadow 168 cm long. At the same time, a light post casts a shadow 14 cm long. If the light post
is 84 cm high, how tall is the house?
A. 1 008 cm C. 18 cm
B. 28 cm D. 7 cm

______25. Find the perimeter of a square whose diagonal is 18√2 cm long.

A. 36 cm C. 36√2 cm
B. 72 cm D. 144 cm
______26. In a 30° - 60° - 90° triangle, which side is the shortest?
A. the hypotenuse C. the side opposite the 60° angle
B. the side opposite the 30° angle D. the included side of the acute angles
______27. In the school’s journal, the editor needs to reduce photos to fit a page. If an original basketball candid photo
measures 15 cm by 10 cm, which of the following sets of possible cropped dimensions is in proportion to the
original photo?
A. 3 cm by 1 cm C. 3 cm by 2 cm
B. 2 cm by 1 cm D. 2 cm by 3 cm
______28. LEAN is a rectangle. Its perimeter is 42 m and its width is 12 m. find the sum of its diagonals.
A. 12 m C. 24 m
B. 15 m D. 30 m
______29. Each side of a square is 30 cm. How long is its diagonal?

A. 10√3 cm C. 30√3 cm

B. 30√2 cm D. 60 cm
______30. What is the area of an equilateral triangle if each side measures 18 dm long?

A. 81√3 dm2 C. 18√3 dm2

B. 81 dm2 D. 18 dm2
______31. How long is the altitude of an equilateral triangle if each side measures 12?
A. 6 C. 12

B. 6√3 D. 12√3
______31. FAIL is a parallelogram, if m∠𝐴 = 76°, then m∠𝐼 = ______________.
A. 104° C. 38°
B. 52° D. 76°
______32. If the perimeter of an isosceles trapezoid is 312 cm and the base are 94 cm and 52 cm, how is a leg?
A. 72 cm C. 114 cm
B. 83 cm D. 166 cm
______33. Which two triangles have the same shape, but are not necessarily of the same size?
A. similar C. right
B. congruent D. oblique
______34. In a right triangle, what do you call the ratio of lengths of the adjacent side of an acute angle to the
hypotenuse?
A. sine C. cosine
B. secant D. cosecant
______35. Which of these statements is TRUE?
1 1
A. sec 25 ° = C. csc 17 ° =
cos 25° sin 73°

sin 30°
B. cot 30 ° = D. cos 28 ° = sin 62°
cos 30°

______36. Which of the following CANNOT be a value of a cosine ratio?

3 √3
A. C.
4 2

1 2√3
B. D.
2 3
7
______37. Given cos 𝜃 = , what is tan 𝜃?
25
7 24
A. C.
24 7
24 25
B. D.
25 24
1
______38. Given cos 𝜃 = , what is 𝜃?
2

A. 25° C. 45°
B. 30° D. 60°
5
______39. If tan 𝜃 = , what is sin 𝜃?
12
5 13
A. C.
13 12
12 13
B. D.
13 5

5
______40. If tan 𝜃 = , which of these is equal to 𝜃?
12

5 −1 5
A. (𝑡𝑎𝑛 ) C. 𝑡𝑎𝑛−1 ( )
12 12

5 −1 5 −1
B. 𝑐𝑜𝑠 ( ) D. 𝑡𝑎𝑛 ( )
12 12
______41. Each of the two sides of an isosceles triangle measures 5 cm. If the angle between sides is 110º, what is the
area of the triangle?
A. 4.28 cm2 C. 11.75 cm2
B. 7.81 cm2 D. 15.32 cm2
______42. Find the area of parallelogram ABCD if AB = 4, AD = 6, and ∠𝐴 = 50º.
A. 9.2 C. 18.4
B. 2.9 D. 4.18
______43. Find the area of an equilateral triangle if one of the equal sides is 4 meters.
A. 6.93 m2 C. 9.36 m2
B. 9.63 m2 D. 6.39 m2
(44 – 46). Refer to the composite figure to the right side.
______44. What is the value of x? 35°
A. 12.6 cm C. 18.0 cm
22 cm
y
B. 15.4 cm D. 31.4 cm
______45. What is the value of y?
51° z
A. 18.0 cm C. 31.4 cm
x
B. 38.4 cm D. 26.9 cm
______46. The value of z is
A. 42.7 cm C. 16.9 cm
B. 20.9 cm D. 33.2 cm
______47. At a distance 100 m from a building, the angle of elevation of the top of the building is 50º. How tall is the
building?
A. 191. 81 m C. 119.81 m
B. 119.18 m D. 119.81 m
______48. From the tip of a show cast by a vertical object such as tree, the angle of elevation of the top of the object is the
same as the angle of elevation of the sun. What is the angle of elevation of the sun if a 7-m tall tree cast s shadow
of 18 m?
A. 25.1º C. 25.2º
B. 21.5º D. 21.3º
_______49. A jet plane flying 6,000 m above the ground passed directly above Clariz. One minute later, Clariz noticed
that the plane’s angle of elevation was 18º. What was the horizontal distance covered by the plane?
A. 18,646 m C. 18,466 m
B. 18,664 m D. 16,864 m
_______50. From the top of a coconut tree that is 20 m tall, a dog is spotted at an angle of depression of 15º. How far
away is the dog from the base of the tree?
A. 74.64 m C. 74.46 m
B. 47.64 m D. 47.46 m
CHERISHED MOMENTS SCHOOL MATH 9
HIGH SCHOOL DEPARTMENT

Key Answer
1. A 26. B
2. C 27. C
3. A 28. D
4. D 29. B
5. A 30. B
6. D 31. A
7. D 32. B
8. B 33. A
9. B 34. C
10. B 35. A
11. C 36. A
12. B 37. C
13. A 38. D
14. C 39. A
15. B 40. C
16. B 41. C
17. D 42. C
18. A 43. A
19. B 44. B
20. C 45. D
21. D 46. C
22. B 47. B
23. C 48. D
24. A 49. C
25. B 50. A