Republic of the Philippines
DEPARTMENT OF EDUCATION
Division of Misamis Oriental
Disteict of Opol West
TINGALAN INTEGRATED SCHOOL
THIRD PERIODICAL TEST IN MATHEMATICS 10
NAME: _________________________________ GR.& SEC.___________ SCORE:________
Directions: Read the sentences below and identify what they refer to from the given choices below each.
Write the letter of your answer directly in the blank.
_____1. What is the other term for “permutation”?
A. arrangement/order
C. choices
B. combination
D. groupings
_____2. Which one from the following situations illustrates permutation?
A. selecting marbles from a bowl
B. listing the possible passwords of a phone
C. drawing two cards from a deck of playing cards
D. forming a group of 3 out of 100 persons
_____3. Three university scholars will arrange themselves in a row for picture taking. How many
different arrangements in a row can be formed by them?
A. 3
B. 4
C. 6
D. 8
_____4. Simplify
8!
5!
A. 16
B. 42
C. 120
D. 336
_____5. Find the number of ways a student can answer a Matching Type Test that is composed of 5 items
with 5 choices.
A. 100
B. 68
C. 84
D. 120
_____6. What is the value of 4! ?
A. 4
B. 12
C. 24
D. 36
_____7. In how many ways can you arrange 5 potted plants in a row?
A. 100
B. 120
C. 150
D. 200
_____8. In how many ways can 3 people arrange themselves in a row for picture taking?
A. 4
B. 5
C. 6
D. 7
_____9. Evaluate P(5, 3).
A. 60
B. 75
C. 100
D. 125
_____10. Find the number of distinguishable permutations of the letters of the word GOOD.
A. 6
B. 9
C. 10
D. 12
_____11. In a town fiesta singing competition with 12 contestants, in how many ways can the organizer
arrange the first three singers?
A. 132
B. 990
C. 1320
D. 1716
_____12. If a combination lock must contain 5 different digits, in how many ways can a code be formed
from the digits 0 to 9?
A. 15 120 B. 30 240
C. 151 200 D. 1 000 000
_____13. In how many ways can 4 men and 3 women arrange themselves in a row for picture taking if
the men and women must stand in alternate positions?
A. 5040
B. 720
C. 144
D. 30
_____14. In a room, there are 10 chairs in a row. In how many ways can 5 students be seated in
consecutive chairs?
A. 720
B. 600
C. 252
D. 120
_____15. Ms. De Leon wants to produce different sets of test questions for her essay test. If she plans to
do this by putting together 3 out of 5 questions she prepared, how many different sets of questions could
she construct?
A. 10
B. 20
C. 60
D. 80
_____16. The following situations are examples of experiments except
A. tossing a coin
C. randomly choosing a ball from a box
B. rolling a die
D. counting numbers
_____17. The results of an experiment are called _____________.
A. experiments
C. outcomes
B. sample space
D. simple events
_____18. Which of the following are the outcomes in tossing a single coin?
A. head or tail
C. a head
B. S = {head, tail}
D. a tail
_____19. What does this symbol “U” represents?
A. intersection, “and”
C. intersection, “or”
B. union, “and”
D. union, “or”
_____20. A group of learners are given the following diagram below: Which best describes the
event set of A ∩ B?
A. {7; 10; 11}
C. {1; 2; 3; 4; 5; 6; 7; 8; 9; 10; 11}
B. {7; 10}
D. {1; 2; 3; 4; 5; 6; 7; 9; 10}
_____21. When you roll a die, which of the following is the sample space?
A. S = {1, 2, 3, 4, 6}
C. S = {2, 4, 6}
B. S = {1, 2, 3, 4, 5, 6}
D. S = {3, 4, 5, 6}
_____22. What statement does the shaded region of
the figure at the right represent?
A. C or D
C. C and D
B. C
D. D
_____23. What statement does the shaded region
of the figure at the right represent?
A. A or B
C. Not A
B. A and B
D. Not B
Use the figure below to answer numbers 24 and 25.
_____24. What event set represents the union of the sets A and B?
A. {2, 4, 8}
C. {6, 12}
B. {5, 6, 7, 9, 12}
D. {2, 4, 5, 6, 7, 8, 9, 12}
_____25. What event set represents the intersection of the sets A and B?
A. {2, 4, 8}
C. {6, 12}
B. {5, 6, 7, 9, 12}
D. {2, 4, 6, 8, 12}
_____26. Brian likes to wear colored shirts. He has 10 shirts in the closet. Three of these are blue, four are
in different shades of red, and the rest are of mixed or different colors. What is the probability that he will
wear a blue or a red shirt?
A.
7
10
B.
1
3
C.
3
10
_____27. The spinner on the right is spun.
What is the probability
of a spin that results in an even number
or a number less than 4?
1
A. 2
3
B.5
2
C. 3
4
D. 5
D.
1
10
_____28. A nationwide survey revealed that 42% of the population likes eating pizza. If two people are
randomly selected from the population, what is the probability that the first person likes eating pizza
while the second one does not?
A. 0.42 + (1 − 0.42)
B. 1 - 0.42 C. 2 (1 − 0.42) D. 0.42 (1 − 0.42)
_____29. There are four batteries, and one of them is defective. Two are to be selected at random for use
on a particular day. Find the probability that the second battery selected is not defective, given that the
first was not defective.
1
A. 4
1
1
B. 3
2
C. 2
D. 3
For numbers 30-31, use the data given below. A sample of 150 plastic pipes were selected and subjected
to shock resistance and scratch resistance tests. The results are summarized in the table below.
_____30. A
pipe is selected at random.
What is the probability that it has high shock resistance given that it has high scratch resistance?
A.
135
132
B.
125
137
C.
137
150
D.
132
150
_____31. What is the probability that it has high scratch resistance and high shock resistance?
125
A. 150
125
B. 137
137
C. 150
132
D. 150
_____32. A bag contains 7 green marbles, 3 yellow marbles and 5 red marbles. You choose two marbles.
What is the probability of selecting a green then a red marble?
1
A. 10
1
B. 9
1
C. 8
1
D. 6
_____33. A bag contains 7 green marbles, 3 yellow marbles and 5 red marbles. You choose two marbles.
What is the probability of selecting a two yellow marbles?
1
A. 10
1
B. 20
1
C. 35
1
D. 50
_____34. In a box there are 5 red pens, 3 green pens, and 2 blue pen. What is the probability of picking a
red pen, replacing it, and then picking a blue pen?
1
A. 10
1
B. 20
1
C. 30
1
D. 40
_____35. At Mathsagana NHS, the probability that a student joins VELG Club and Mathematics Club is
0.12. The probability that a student joins VELG Club is 0.7. What is the probability that a student joins
Mathematics Club given that the student is taking VELG Club?
A. 0.36
B. 0.17
C. 0.14
D. 0.05
For numbers 36-37, use the data below.
A class has the following grade distribution.
Suppose that a student passes the course if she or he gets a grade of 80.
_____36. If a student is randomly picked from the class, what is the probability that the student’s grade is
95 if it is known that the student is passing the course?
1
5
A.7
B. 41
5
C. 43
1
D. 10
_____37. If a student is randomly picked from the passing class, what is the probability that the student’s
grade is 95 or greater than 85?
11
A. 15
11
B. 20
11
C. 27
11
D. 40
_____38. Two men and three women are in the committee. Two of the five are to be chosen to serve as
officers. If the officers are chosen randomly, what is the probability that both officers will be men?
A.
3
4
B.
1
3
C.
1
10
D.
1
12
_____39. Mario has 15 red chips, 12 blue chips, and 13 white chips. What is the probability that Mario
randomly selects a red chip or a white chip?
1
A. 10
1
B. 2
7
C. 10
9
D. 10
_____40. Carl’s basketball shooting records indicate that for any frame, the probability that he will score
in a two-point shoot is 30%, a three-point shoot, 45%, and neither, 25%. What is the probability that
Cindy will score either in a two-point shoot or in a three-point shoot?
A. 25%
B. 45%
C. 50%
D. 75%
_____41. A diagram that uses circles to represents sets, in which the relations between the sets are
indicated by the arrangement of the circles.
A. bar graph
C. tree diagram
B. pie chart
D. Venn diagram
_____42. A set of possible outcomes resulting from a particular experiment.
A. events
C. sample space
B. possibilities
D. universal
_____43. A set that contains all of the elements that are in both events.
A. compound
C. intersection
B. dependent
D. universal
_____44. A set that contains all of the elements that are in at least one of the two 4 events.
A. complement
C. simple
B. independent
D. union
_____45. Precious Venus Shine got coins from her coin purse which accidentally rolled on the floor. If
there were 8 possible outcomes, how many coins fell on the floor?
A.16
B. 8
C. 4
D. 3
_____46. Gorgeous JM rolls two dice. The first die shows a 3. The second die rolls under his desk and he
cannot see it. Now, what is the probability that both dice show 3?
A. 1/36
B. 1/6
C. 1/4
D. 1/3
_____47. The local weather forecaster said that there is a 40% chance of rain tomorrow. What is the
probability that it will not rain tomorrow?
A. 0.4
B. 0.6
C. 40
D. 60
_____48. In a 1,250 – ticket draw for an educational prize, Charm Brilliant's name was written on 77
tickets. What is the probability that he would win?
A. 0.77
B. 0.616
C. 0.077
D. 0.0616
_____49. The probability that a visit to the school clinic is neither due to dental reasons nor medical
reasons is 35%. Of those coming to the clinic, 30% are due to medical reasons and 40% are due to dental
reasons. What is the probability that a visit to the school clinic is due to both dental and medical reasons?
A. 0.25
B. 0.18
C. 0.12
D. 0.10
_____50. Which of the following situations illustrate mutually exclusive event?
A. Turning left and turning right
B. Turning left and scratching your head
C. Drawing kings and hearts in a standard deck of cards
D. Getting an odd and a number less than 3 when rolling a die?
_____51. Which of the following pairs is a not-mutually exclusive events?
I. Sit down and stand up
II. Dance and pinch your nose
III. Two dice: Odd and even
IV.Getting a head and a tail when tossing a coin
A. II only
B. III only C. II and III only D. All of the above
_____52. Which of the following diagrams illustrate mutually exclusive events?
_____53. Given S={1,2,4,5,6,7,8,9,10}, A={1,3,5,7,9}, and B={2,4,6,8,10}. Are events A and B
mutually exclusive?
A. Yes
B. No
_____54. A card is selected at random from an ordinary deck of playing cards. What is the probability
that the card drawn is a 5 or a 10?
2
A. 13
4
B. 113
2
C. 52
17
D. 52
For items 55 & 56.The probability that either event A or B occurs A B 1 iv A A B is the sum of their
probabilities decreased by probability of both occurring.
_____55. How is this written in symbols?
A. P(A or B)= P(A) + P(B)
B. P(A and B)= P(A) + P(B)- P(A and B)
C. P(A or B)= P(A) – P(B)
D. P(A or B)= P(A) + P(B)- P(A and B)
_____56. What event is described in the above situation?
A. Simple Events
B. Mutually Exclusive Events C. Independent Events D. Not-mutually Exclusive Events
_____57. A card is chosen at random from a deck of 52 cards. What is the probability of choosing a
Queen or a King?
A. 0
B.
2
13
4
13
C.
8
13
D.
_____58. Two fair dice are thrown. What is the probability that the first die shows 5 or the second die
shows 6?
1
A. 3
1
B. 36
11
C. 36
2
D. 13
_____59. A card is chosen at random from a deck of 52 cards. What is the probability of choosing a
Queen or a Diamond?
A.
2
13
B.
4
13
2
52
C.
D.
17
52
_____60. Out of 28 students of Grade 10 Taurus, 19 uses Facebook, 11 uses Instagram, and 5 uses both
Facebook and Instagram. What is the probability that a selected student uses Facebook or Instagram?
A.
11
28
B.
14
28
C.
25
28
D.
35
28