Department of Education

Region III
Division of City of San Fernando
San Fernando East District
ST. VINCENT OF QUEBIAWAN INTEGRATED SCHOOL
City of San Fernando (P)
(045) 409-8521

PRETEST IN GRADE 9 MATHEMATICS

Name: _____________________________ Grade Level and Section: __________________
Write the letter of the correct answer in the space provided.
_______1. Which of the following is a quadratic equation?
a. 3x – 7 = 8 b. ½x + 3 = 7 c. ( x + 1 )² = 0 d. x³ = x + 25
_______2. In the equation ax² + bx + c = 0, which of the following can NOT be equal to 0 for the equation to
be quadratic ? a. c b. a c. b d. a and b
_______3. Which of the following is written in the standard form ?
a. x²- 3 + 2x b. 2x² + 3x + 1 = 0 c. x² = 6x + 3 d. x² - x = 9
_______4. In the equation 4x – 3 = 5x² , what is the real number c ?
a. 4 b. −3 c. 5 d. +3
_______5. In the equation 2x² = 8,what is the real number b ?
a. 0 b. 2 c. 8 d. undefined
_______6. What is the positive square root of 225 ?
a. 17 b. 16 c. 15 d. 14
𝟏
_______7. What is the solution of the quadratic equation X² − = 0?
𝟏𝟔
1 1
a. ± 8 b. ±4 c. ± 4 d. ±4
_______8.. A triangle which doesn’t contain any right angle.
a. acute triangle b. obtuse triangle c. oblique triangle d. all of the above
_______9. If two sides and their non-included angle are given in an oblique triangle, which of the following is used to
solve the other parts of the triangle?
a. laws of sines b. laws of cosines c. Pythagorean theorem d. converse of Pythagorean theorem
_______10. If three lengths of an oblique triangle are given, which of the following is used to solve the other parts of
the triangle?
a. laws of sines b. laws of cosines c. Pythagorean theorem d. converse of Pythagorean theorem
_______11. Which of the following triangles has one angle that measures greater than 1800?
a. obtuse triangle b. acute triangle c. scalar triangle d. isosceles triangle
_______ 12. How does the area of triangle vary as its base and height?
a. directly b. inversely c. jointly d. indirectly
_______13. As the number of distance you traveled increases, the amount of fare you have to pay also increases .
How does the number of distance vary with amount to be paid?
a. directly b. inversely c. jointly d. indirectly
_______14. What is the graph of a direct variation?
a. parabola b. linear c. hyperbola d. skew
_______ 15. The product of an inverse variation is _____.
a. zero b. one c. constant d. even
16-20. Write TRUE if the statement is correct and False if is in correct.
________16. Ratio and proportion express relationships between two quantities.
________17. The first and fourth terms of a proportion are the means.
________18. Two triangles are similar, if and only if their corresponding angles are congruent.
________19. An isosceles triangle and scalene triangle are similar.
________20. An equilateral triangle and equiangular triangle are always similar.
_____21. Which of the following is the correct formula for the sine ratio of∠𝐴?
𝑙𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑡ℎ𝑒 𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝑠𝑖𝑑𝑒 𝑡𝑜 ∠𝐴 𝑙𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑡ℎ𝑒 𝑜𝑝𝑝𝑜𝑠𝑖𝑑𝑒 𝑠𝑖𝑑𝑒 𝑡𝑜 ∠𝐴
a. 𝑠𝑖𝑛𝐴 = 𝑙𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑡ℎ𝑒 ℎ𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 𝑜𝑓 ∠𝐴 c. 𝑠𝑖𝑛𝐴 = 𝑙𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑡ℎ𝑒 𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝑠𝑖𝑑𝑒 𝑡𝑜 ∠𝐴
𝑙𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑡ℎ𝑒 𝑜𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝑠𝑖𝑑𝑒 𝑡𝑜 ∠𝐴 𝑙𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑡ℎ𝑒 𝑎𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝑠𝑖𝑑𝑒 𝑡𝑜 ∠𝐴
b. 𝑠𝑖𝑛𝐴 = d. 𝑠𝑖𝑛𝐴 =
𝑙𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑡ℎ𝑒 ℎ𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 𝑜𝑓 ∠𝐴 𝑙𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑡ℎ𝑒 𝑜𝑝𝑝𝑜𝑠𝑖𝑑𝑒 𝑠𝑖𝑑𝑒 𝑡𝑜 ∠𝐴
_____22. In a 30° − 60° − 90° triangle, the hypotenuse is _____.
a. half the shorter leg c. twice the shorter leg
b. product of the shorter leg and √3 d. product of the longer leg and √3

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_____23. One of the legs of a 45° − 45° − 90° triangle is 𝑎, what is the tangent ratio of an acute angle of
the given triangle?
a. 2a b. 𝑎2 c. 1 d. a√2
______24. What are the roots of 4x² + 8x = 0 ? a. 4, -8 b. 0, -8 c. 0, -2 d. 0, 4
______25. Find the roost of x² - 121 = 0. a. ± 12 b. ± 11 c. ± 10 d. ± 13
______26. Find the missing term in X² + 6X + ___ tp make it a perfect square trinomial.
a. 36 b. 16 c. 9 d. 3
______27. Complete the square by finding the missing term in 9X² - X + 25.
a. 30 b. 25 c. 15 d. 9
______28. What is the product of the roots of X² - 7X + 12 = 0.
a. 7 b. 12 c. -7 d. -12
______29. What is the sum of the roots of X² + 5X + 6 = 0.
a. 6 b. -6 c. 5 d. -5
_____30. Y varies directly as x such that when x = 15 , y = 6. Find y when x = 10.
a. 2 b. 4 c. 6 d. 8
______31. Y varies inversely as x , when x = 2 and y = ½, find y when x is equal to 1/8.
1
a. 8 b. 4 c. 2 d. 4
______32. The area (y) of triangle varies jointly as its base (x) and height (z). Find the area (y) , if x = 15 and x = 8?
a. 120 b. 90 c. 60 d. 40
______33. What type of variation represents the relationship of x and y in the table values given below?
a. Joint b. inverse c. direct d. direct square
X 1 2 3 4 5
y 3 12 27 48 ?
_____34. Using the table of values of x and y above , what is y, when is x = 5?
a. 60 b. 75 c. 87 d. 91
______35. Which proportion leads to the equation my = nx ?
𝑚 𝑛 𝑚 𝑛 𝑚+𝑦 𝑛+𝑥 𝑚 𝑦
a. 𝑥 = 𝑦 b. 𝑦 = 𝑥 c. 𝑦 = 𝑥 d. 𝑛 = 𝑥
______36. A segment 150 cm long is divided into 3 parts in the ratio 2:3:5. What is the length of the longest part?
a. 50 cm b. 75 cm c. 80 cm d. 115 cm
______37. Find the unkown term in x : 4 = 5 : 10.
a. 2 b. 8 c. 11 d. 25
______38. On a scale drawing of a house with a scale of 1 cm: 2 m, the length of the house is 2.25 cm. What is the
actual length of the house? a. 1.25 m b. 11.25 m c. 4.5 m d. 6.5 m
______39. The measures of the three angles of a triangle are in the ratio 3:4:5. Find the measure of the largest
angle? a. 95° b. 75° c. 55° d. 45°
_____40. Simplify : 𝟐𝟓𝟔𝟏/𝟒
a. 3 b. 4 c. 16 d. ¼
_____41. Simplify √𝟕𝟓 + √𝟐𝟕 - 4√𝟒𝟖
a. -4√3 b. -2 √3 c. 2√3 d. -8√3
_____42. Multiply : (4√𝟓) (6 √𝟏𝟎 )
24√2 b. 4√2 c. 120√2 d. 140
For item 43 – 45, use the figure at the right.

_____43. Find the length of altitude LP of ∆𝐿𝑀𝑁.

a. 6 c. 15
b. 8 d. 16 17
_____44. Find the value of x. 10 h
a. 6 c. 15
b. 8 d. 16 M 9 N x P
_____45. What is the perimeter of the triangle LMN.
a. 32 b. 34 c. 35 d. 41
_____46. Which of the following is 𝑐𝑜𝑠60°?
a. 1 b. 0 c. ½ d. √2
_____47. Which of the following is INCORRECT?
1 √2
a. 𝑠𝑖𝑛30 = b. 𝑡𝑎𝑛45 = 1 c. 𝑠𝑒𝑐45 = √2 d. 𝑐𝑜𝑡45 =
2 2

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_____48. Which of the following statements is TRUE?
A. sin 45 B. cos 45
a. A is greater than B c. A and B are equal
b. A is less than B d. A and B can’t be compared
_____49. It is the imaginary line that connects the eye of the observer to the object being observed.
a. angle of elevation c. horizontal line
b. angle of depression d. line of sight
_____50. From a point on the ground 14 meters from the foot of the tree, the angle of elevation from the top of the tree
is 28°. What is the height of the tree?
a. 7 m b. 8 m c. 12 m d. 13 m

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