SECOND PERIODICAL TEST IN MATHEMATICS 9
NAME: ____________________________ GR.& SEC._________ SCORE:________
Directions: Read carefully. For each item, choose and write the letter of the correct answer in the blank.
_____1. How your score in a test does vary to its equivalent percent?
A. directly
C. inversely
B. indirectly
D. jointly
_____2. The amount of tickets in a cinema varies as the number of people who watched it. If the number of
people increases, what will be the effect in the amount of tickets?
A. increases
C. doubled
B. decreases
D. remains the same
_____3. If y varies directly to x what happens to y when x is doubled?
A. doubled
C. quadrupled
B. halved
D. remains the same
_____4. Which of the following situations illustrates a joint variation?
A. The heat required to melt a substance to its mass
B. The perimeter of a square to its side
C. The speed of the boat per hour to the amount of diesel
D. The volume of a rectangular box to its length, width, and height
_____5. Which of the following statements illustrates a combined variation?
A. The heat required to melt a substance to its mass
B. The perimeter of a square to its side
C. The speed of the boat per hour to the amount of diesel
D. The length of a rectangular box to its area, width, and height
_____6. In the formula, P = 4s, what happens to P when s is doubled?
A. P is halved
C. P is tripled
B. P is doubled
D. P is quadrupled
_____7. Three men can do a portion of a job in 8 days. If the number of men increases, what will be the effect in
the number of days to finish the same job?
A. increases
C. doubled
B. decreases
D. remains the same
_____8. In the area of a rectangle, the length and width are inversely related. Which of the following statements
explains this relationship?
A. As the length increases, the width also increases.
B. As the length increases, the width decreases.
C. As the length and width increase, the area also increases.
D. As the length and width increase, the area decreases.
_____9. The speed, s, of a moving object varies directly to the distance traveled, d, and varies inversely to the
time taken, t. What kind of variation illustrates this statement?
A. direct
C. joint
B. inverse
D. combined
_____10. Using the statement in no. 9, which of the following relationships is true?
A. The shorter the time, the faster the speed.
B. The longer the time, the faster the speed.
C. The longer the distance, the slower the speed.
D. The shorter the distance, the faster the speed.
_____11. If 14 kg of dry green peas cost Php441, what is the cost of 22 kg of pulses?
A. Php 627
C. Php 671
B. Php 649
D. Php 693
_____12. If 36 men can do a piece of work in 25 days, in how many days will 15 men do it?
A. 50
A. 56
C. 60
D. 72
_____13. If 20 men can build a wall 56 meters long in 6 days, what length of a similar wall can be built by 35
men in 3 days?
A. 49 meters
C. 52 meters
B. 36 meters
D. 42 meters
_____14. If 3 men can do a portion of a job in 8 days, how many men can do the same job in 6 days?
A. 3 days
C. 5 days
B. 4 days
D. 6 days
_____15. If 18 dolls cost Php 630, how many dolls can be bought for Php 455?
A. 9
B. 11
C. 13
D. 15
_____16. If a man earns a total of Php 805 for seven days of work, in how many days can he earn Php 1840?
A. 7 days B. 16 days
C. 19 days
D. 23 days
_____17. If a car covers 102 km in 6.8 litres of petroleum, how much distance will it cover in 24.2 litres of
petroleum?
A. 363 km B. 330 km
C. 375 km D. 396 km
_____18. On a particular day, 200 US dollars is worth Php 9666. On that day, how many dollars could be
bought for Php 5074.65?
A. $105
B. $117
C. $127
D. $131
0
_____19. Simplify 4x .
A. x
B. 4
C. 1
D. 4x
_____20. 2-2 is equal to __.
A. -4
B. -
1
C. 4
4
_____21. What is the base in the expression –(–6)5 ?
A. 6
B. -6
C. -6 x 5
_____22. What is the product of 𝑥−5 and 2𝑥7 ?
A. 2𝑥2
B. 3𝑥−2
C. 3𝑥2
_____23. Which of the following is true?
A. (𝑥3 )
2
= 𝑥5
C.
B. 53 ∙ 57 = 2510
1
D.
D.
𝑥7
𝑥10
25𝑥4
5𝑥4
4
D. 5
D. 2𝑥12
=
1
𝑥3
=5x
−5
_____24. Simplify the expression 3𝑥 .
A.
B.
1
C.
3𝑥5
3
D.
𝑥5
_____25. Write the quotient of
A. 37
𝑥
35
34
3−3
B. 3
35
𝑥
as a single power.
1
C.
3
D. 3−1
_____26. What rule/s should be applied to simplify the expression (3𝑥3 𝑥2 )−3 ?
i. Quotient Rule
ii. Power Rule
iii. Negative Rule
iv. Product Rule
A. i & iii
B. ii & iv
C. ii & iii
D. iii & iv
_____27. Simplify the expressions
A. 1
B.
16𝑥4
𝑥6
3𝑥−5 𝑥2 )0
(4𝑥−3 𝑥2 )−2
C.
3
4
D.
3𝑥2
4
_____28. When a caterpillar larvae hatches, it weighs only 10−2 grams. However, each day it can eat 104 times
its initial body weight. How many grams of food can the larvae eat each day?
A. 102
B. 103
C. 104
D. 106
1
_____29. What is the simplified form 25 ?
2
A. 1
B. 5
C. 25
D. 625
C. 16
D. 32
2
_____30. What is 64 raised to ?
3
A. 8
B. 9
1
_____31. What is the value of 121 ?
2
A. 8
B. 9
C.10
_____32. What is the difference of 27
A. 1
B. 2
1
D. 11
and √4 ?
3
C.3
D. 4
2
1
_____33. Which of the following is the product of (𝑥3 ) and (𝑥2 )?
3
5
A. 𝑥5
7
B. 𝑥6
2
C. 𝑥6
D. 𝑥5
2
_____34. Simplify: 1003
A. 10
B. 100
C. 1 000
D. 10 000
_____35. Evaluate: √4 + √9 + √16 +√25
A. 10
B. 12
C. 14
D. 16
4
_____36. Which of the following is equal to √256?
A. 2
B. 2
C. 8
D. 16
3
_____37. Which of the following illustrates √𝑥𝑥2 into rational exponents?
1
2
A.(𝑥𝑥2 )3
1
B. 𝑥𝑥3
1
C. 𝑥𝑥3
1
D. 𝑥3 𝑥3
3
_____38. Which of the following is the correct solution when you simplify 25 .
2
3
2
3
3
2
3
3
2
2
A. 25 = √25 =5
2
3
C. 25 = √25 =5
3
2
B. 25 = √252=125
D. 252 = √253 =125
_____39. If x and y represent non-negative numbers, then √𝑥 ⋅ √𝑥 is equal to
A. y√𝑥
C. √𝑥 ⋅ 𝑥
B. x√𝑥
D. √𝑥 + 𝑥
𝑥
_____40. √ is equal to
𝑥
A.
√𝑥
√𝑥
C.
𝑥
B. √
D.
𝑥
_____41. √48 is equal to
A. √9 ⋅ √4
3
_____42. √27 ⋅ √3 is equal to
A. 9
B. 7
_____43. The simplest form of
A. 4
√𝑥𝑥
√𝑥𝑥
C. √8 ⋅ √3
D. √16 ⋅ √3
B. √12 ⋅ √3
3
√𝑥𝑥
√𝑥
B. √2
3
C. 3√3
√4
√2
D. 2
is
C. 1
_____44. The simplest form of √72𝑥5 𝑥3
D1
.
A. 6𝑥2 y√2𝑥𝑥
C. 6𝑥 √𝑥2
B. 6𝑥2 y√2𝑥2 𝑥
D. 12𝑥2 y
_____45. What is the product of (3√2)(4√8)?
A. 28
B. 48
C. 12√12
D. 12√8
_____46. Below are examples of similar radicals, except
3
A. √3 , 4√3, 3√3
3
3
3
B. √3, 6√3, 2√3
C. √3 , 4√7, −1√7
D. √𝑥𝑥 , 4√𝑥𝑥 , −1√𝑥𝑥
_____47. The sum of √𝑥𝑥 + 4√𝑥𝑥 is
A. 4xy
C. 5√𝑥𝑥
B. 5xy
D. 4√𝑥𝑥
_____48. The sum of 5√6 + 4√24 is
A. 13√6
B. 9√30
_____49. The simplified form of
C. 9√2
D. 13√2
28
√7.
A. 4
B. 3
C. 2
D. 1
_____50. When 8√5 is subtracted by 3√5 , the difference is
A. −5√5
B. 25 C. −5√10
5√5
_____51. The product of (√2𝑥𝑥2 ) (√8𝑥𝑥4 ) is
B. 4𝑥𝑥2
A. 4xy
C. 4𝑥𝑥3
D. 4𝑥2 𝑥
3
_____52. To rationalize the denominator of the radical expression
denominator by
A. √2
B. 1 +√2
C. -√2
_____53. √2𝑥 − 1 - 𝑥 + 2 = 0
A. x = 1
B. x = 3
_____54. √3𝑥 + 1 - √𝑥 + 8 = 1
A. x = 1
B. x = 3
_____55. √7 − 2𝑥 - x = 4
B. x = −1
A. x = 9
√𝑥−1
,multiply
√2
both numerator and
D. 1 -√2
C. x = 5
D. x = 7
C. x = 5
D. x = 8
C. x = 0
D. x = 3
_____56. √4𝑥 + 1 - √5 − 2𝑥 = 2
A. x = −
2
9
B. x = −
1
9
C. x = 0
D. x = 2
_____57. Find the number such that twice its square root is 22.
A. 44
B. 121
C. 12
D. 122
_____58. Terry is going to Danielle’s house to do some laundry. Instead of walking
perpendicular streets to Danielle’s house, Terry will cut a diagonal path
through the rice field. Terry is 15m away from Danielle’s street and the
distance from the intersection of two streets to Danielle’s house is 9 m. How
far will Terry travel along the shortcut?
A. 17m
B. 24m
C. 17.49m
D. 24.15m
_____59. Find the number such that the square root of three more than twice a
number is 9.
A. 39
B. 49
C. 69
D. 9
_____60. The length and the width of a rectangle is 20 inches and 15 inches long, respectively . What is the
distance between two opposite corners?
A. 25inches
C. 27 inches
B. 26 inches
D. 28 inches