This document is a mathematics test booklet for 10th grade students in Dumalneg Ilocos Norte containing 50 questions about permutations, combinations, and probability. It provides instructions to read the questions carefully and choose the best answer, avoiding erasures. It contains questions that require calculating the number of arrangements of objects, expressions representing permutations of letters, different 3-digit numbers that can be formed, and the hardest combination of numbers to unlock. Other questions involve situations that illustrate combinations, variations of vegetable salads that can be made, and the number of ways people can be seated. The document is checked and reviewed by the head teacher and approved by the school principal.

1. Dumalneg Ilocos Norte
TEST BOOKLET
MATHEMATICS 10
THIRD PERIODICAL EXAMINATION
CYRAH MAE G. RAVAL
JHS Teacher II

2. GENERAL DIRECTION: Read the questions carefully. Choose the best answer then shade the circle that
corresponds to your choice in the given answer sheet. Avoid erasures and do not leave unnecessary marks
on this Test Booklet. BE HONEST EVEN IF OTHERS ARE NOT. Good Luck!
1. Permutation is the number of arrangement of objects. Which of the following situations illustrate
permutation?
a. forming a committee of councillors
b. selecting 10 questions to answer out of 15 questions in a test
c. choosing 2 literature books to buy from a variety of choices
d. assigning rooms to conference participants
2. Which of the following expressions represents the number of distinguishable permutations of the letters of
the word CONCLUSIONS?
a. 11! b. 11!/8! c. 11!/2!2!2! d. 11!/2!2!2!2!
3. How many different 3-digit numbers can be formed from the digits 1, 3, 4, 6, 7, 9 if repetition is not
allowed?
a. 840 b. 720 c. 360 d. 120
4. If x=P(7, 4), y=P(8, 4) and z=P(9, 3), which of the following is arranged from least to greatest?
a. x, y, z b. z, x, y c. y, x, z d. x, z, y
5. Factorial is a notation where you will get the of all whole numbers up to 1. Which of the following is
equivalent to ?
a. 420 b. 840 c. 1680 d. 2520
6. Your adviser required you to arrange your ornamental garden. In how many different ways can 7 potted
‘sigaga’ plants be arrange in a row?
a. 5040 b. 2520 c. 720 d. 210
7. In how many different ways can 10 tourists arrange themselves in a row in a picture taking in Ar-ar-o
Picnic Grove?
a. 504 b. 4032 c. 362 880 d. 3 628 800
8. In how many different ways can the word NATARAM (beautiful) be arranged in such a way that the
vowels always come together?
a. 210 b. 480 c. 540 d. 720
9. In how many ways can 8 people be seated in a round table?
a. 5040 b. 2503 c. 840 d. 540
10. Using your knowledge on permutation, which of the following is the hardest to determine the
combination of numbers to unlock?
a. 6-digt ATM pin b. A vault with 4-digit lock
c. A three-digit combination lock d. A cellphone with 8-digit pin code

3. 11. A woman has 5 blouses, 3 skirts, and 4 pairs of shoes. How many different outfits consisting of a blouse,
skirt and a pair of shoes?
a. 12 b. 27 c. 60 d. 120
12. In how many 10 DVDs be chosen to arrange a case with slots for 3 discs?
a. 600 b. 720 c. 840 d. 920
13. Which of the following situations illustrates combination?
a. arranging of books in a shelf
b. drawing names from a raffle draw
c. forming different numbers from a given 5 digits
d. forming plate numbers of vehicles
14. A certain restaurant allows you to assemble your own vegetable salad. If there are 8 kinds of vegetables
available, how many variations of the salad can you make containing at least 5 vegetables?
a. 56 b. 84 c. 93 d. 96
15. Which of the following is the result when you evaluate C(25, 4) + C(30, 3) + C(35, 2)?
a. 17 900 b. 17 305 c. 16 710 d. 4 655
16. Khristelle was able to calculate the total number of 3-digit numbers that can be formed from a given set
of non-zero digits, without repetition. If there were 60 numbers in all, how many digits were actually given?
a. 8 b. 7 c. 6 d. 5
17. If a committee of 8 members is to be formed from 8 sophomores and 5 freshmen such that there must
be 5 sophomores in the committee, which of the following statement(s) is/are true?
I. The 8 committee members can be selected in 1287 ways.
II. The 5 sophomores can be selected in 56 ways.
III. The 3 freshmen can be selected in 10 ways.
a. I only b. I and II c. II and III d. I, II and III
18. If 4 betel nut are picked randomly from a jar containing 8 ripe betel nut and 7 unripe betel nut, in how
many possible ways can at least 2 of the marbles picked are ripe?
a. 1638 b. 1568 c. 1176 d. 1050
19. A caterer offers three kinds of soups, 7 kinds of main dish, 4 kinds of vegetable dish, and 4 kinds of
dessert. In how many ways possible ways can a caterer form a meal consisting of one soup, 2 main dishes,
1 vegetable dish and 2 desserts?
a. 140 b. 336 c. 672 d. 1512
20. Jane wants to solve a system of equations. The number of equations she has is equal to the number of
variables. She realizes that she has 10 possible ways to start her solution. How many equations does she
have?
a. 6 b. 5 c. 4 d.3

4. 21. There are 11 different food items in a buffet. A costumer is asked to get certain number of items. If the
costumer has 462 possible ways as a result, which of the following did he possibly do?
a. Choose 4 out of 11 items
b. Choose 6 out of 11 items
c. Choose 8 out of 11 items
d. Choose 7 out of 11 items
22. What is the numerical value of P(8, 5)?
a. 6720 b. 13440 c. 20160 d. 100000
23. What is the answer if we evaluate C (10, 1)?
a. 10 b. 20 c. 30 d. 40
24. In how many ways can the letters in the word MISSOURI be arranged?
a. 5040 b. 10080 c. 40320 d. 63240
25. In how many ways can 2 students be selected from a class with 20 students?
a. 190 b. 180 c. 240 d. 390
26. In how many ways can 8 Ilocanos, 4 Isneg and 4 Tagalogs can be seated in a row so that all person of
the same ethnic affiliation sit together?
a. 3! 4! 8! 4! b. 3! 8! c. 4! $! d. 8! 4! 4!
27. A two member committee comprising of one male and one female out of 5 males and 3 females. In how
many different ways can the committee be formed?
a. 12 b. 13 c. 14 d. 15
28. Why is it that the number of ways we can arrange objects is greater than the number of ways we can
select them?
a. Because it arranging requires more effort to do than selecting.
b. Because it is more manageable to select than to arrange the objects.
c. Because Permutation is more difficult than finding the Combination of objects.
d. Because in selecting, you just have to consider the selection process and arrangement is not important.
29.In getting the probability of events, conjunction are used. Which of the following is represented by the
conjunction ‘or’?
a. Union b. Intersection c. Complement d. Conditional
30. The complement of an event is the set of all outcomes that are not in the event. What is the intersection
between A and A’?
a. Null b, Universal Set c. A d. A’

5. From items 31-32, Dumalneg National High School has 250
students whom can speak Isneg, Iloco and English. Use the Venn
diagram above to determine the probability of selecting a student
who:
31. Can speak Yapayao or Iloco.
a. 100/250 b. 222/250
c. 60/250 d. 62/250
32. Can speak English and Yapayao only.
a. 100/250 b. 222/250
c. 60/250 d. 62/250
33. Which of the following events is mutually exclusive?
a. Sit down and stand up
b. Cards: Aces and Spades
c. Two dice: Odd and Even
d. Sit down and scratch your nose
34. What do you call the diagram where sets can be represented as well as their intersection and union?
a. Euler Diagram b. Tree Diagram c. Tabular Form d. Listing
35. In Grade 10 Wanggi, the are 30 students and 10 students have a cat and 5 students have a dog. What
is the probability that the student who is chosen has a cat or a dog?
a. ½ b. 3/4 c. 1/6 d. 1/8
36. If set A = {1, 2, 3} and B = {2, 4, 6}, what is A U B?
a. {1, 2, 3, 2, 4, 6}b. {1, 2, 3, 4, 6} c. {2, 4, 6} d. {2}
37. Referring to the previous item, how about their intersection?
a. {1, 2, 3, 2, 4, 6}b. {1, 2, 3, 4, 6} c. {2, 4, 6} d. {2}
38. A card is chosen at random from a pack of 52 playing cards. What is the probability of a King or a
Heart?
a. 0 b. 1/13 c. 1/69 d. 2/13
39. A coin is tossed and a six-sided dice is rolled. Find the probability of getting a head on the coin and a 6
on the die.
a. 1/12 b. 2/12 c. 3/12 d. 4/12
40. Situation: A jar of marbles contains 4 blue marbles, 5 red marbles, 1 green marbles and 2 black
marbles. A marble is chosen at random from the jar. After replacing it, a second marble is chosen. What is
the probability of getting a blue and black?
a. 5/144 b. 6/144 c. 7/144 d. 8/144

6. 41. At a Wine store, 5 out of every 50 wines are not ready to be sold. If you purchase 4 wines and they are
randomly selected from a set of 50 wines. What is the probability that all four wines will be defective?
a. 1/46060 b. 2/46060 c. 3/46060 d. 4/46060
42. An example is drawing a card from a deck of 52-cards and replaced the card that is drawn before
drawing the second card. What kind of event it is?
a. dependent b. independent c. mutually exclusive d. not mutually exclusive
43. Marion has 5 blocks of different colors in a bag. One block is red, one is yellow, one is green, one is
blue, and one is black. Mario pulls out a block, looks at it, and puts it back in the bag. If he does this three
times, what is the probability that the 3 blocks selected are all of the same color?
a. 5/125 b. 1/125 c. 4/125 d. 5/20
44. What makes two events mutually exclusive?
a. If they have an intersection.
b. If they don’t have any intersection
c. If the two events occur at the same time.
d. If the occurrence of the first affects the occurrence of the second.
45. Barbara, Carol, Alice, Perla and Sabrina are competing for two roles in a play. Assume that the two to
get roles will be randomly chosen from the five girls. What is the conditional probability that Perla gets a role
if we know that Carol will not get the role?
a. ¼ b. 1/3 c. ½ d. ¾
46. A card is chosen at random from standard deck of cards. Without replacing it, a second card is chosen.
What is the probability that both cards chosen will be a king?
a. 1/221 b. 2/221 c. 3/221 d. 4/221
47 - 48. A class has the following grade distribution:
Performance Number of Students
95 5
90 14
85 7
80 9
75 8
47. Suppose that the student passes the subject if he/she gets a grade of 80. If a student is randomly picked
from this class, what is the probability that the student’s grade is 95 if it is known that the students is passing
the subject.
a. 5/35 b. 5/43 c. 5/40 d. 5/28
48. What can you conclude about the overall performance of the class based from the given data?
a. The students are understood the topic well.
b. The students did not review their notes very well.
c. The performance of the students is average,
d. None of the above

7. 49-50. In a small town called Dumalneg with two schools, 1000 students were surveyed if they had mobile
phone. The results of the survey are shown below:
With Mobile Phone Without Mobile Phone Total
School A 365 156 521
School B 408 71 479
Total 773 227 1000
49. What is the probability that a randomly selected student has a mobile phone given that the student
attends school B?
a. 479/1000 b. 408/773 c. 408/479 d. 408/521
50. What is the probability that a randomly selected student doesn’t have a mobile phone given that the
student attends school A?
a. 521/1000 b. 156/521 c. 156/227 d. 408/521
Prepared by: Checked and Reviewed by: Approved by:
CYRAH MAE G. RAVAL MERINA G. RAMOS VANESSA B. AGUINALDO
Teacher II Head Teacher III School Principal I