Republic of the Philippines
DEPARTMENT OF EDUCATION
Region IV – A CALABARZON
Division of Rizal
MAHABANG PARANG NATIONAL HIGH SCHOOL
Binangonan, Rizal
THIRD QUARTERLY EXAMINATION IN MATHEMATICS 10
Name: _____________________________ Grade & Section: _______________ Score: _______
Directions: Write the letter of the correct answer on the space provided before the number.
_____ 1. It is an arrangement of objects in which the order is important?
A. union
B. intersection
C. permutation
D. combination
_____ 2. In P(6, 6) , what formula will be used?
A. P(n,n) =
𝑛!
(𝑛−𝑟)!
B. P(n,n) =
𝑛!
𝑟!(𝑛−𝑟)!
C. P(n,n) = (n-1)!
D. P(6,6) = n!
_____ 3. In the 4-letter word READ taken 3 letters at a time, what is the value of r?
A. 3
B. 4
C. 5
D. 6
_____ 4. In P(6, 3), what is the value of n?
A. 3
B. 4
C. 5
D. 6
_____ 5. In how many ways can 4 people be seated around a circular table?
A. 2
B. 6
C. 24
D. 120
_____ 6. How many 3-letter words can be formed with the letters of the word HEART?
A. 60
B. 40
C. 20
D. 10
_____ 7. Find the number of distinguishable permutations of the letters of the word PASS.
A. 6
B. 12
C. 24
D. 120
_____ 8. The view of Sampaloc Lake is a very nice background to take pictures of. How many ways
can 7 friends arrange themselves in a row for taking pictures.
A. 24
B. 120
C. 720
D. 5,040
_____ 9. In how many ways can you assign a 4-digit numbers for an ATM pin code if repetition of
numbers is not allowed?
A. 720
B. 1,000
C. 5,040
D. 10,000
_____ 10. Which of the following situations involves permutation?
A. Making a salad by selecting different ingredients
B. Selecting 5 members to form a group
C. 5 friends taking a picture in a row
D. Arranging rooms for Math campers
_____ 11. The following situations involves permutation EXCEPT,
A. Arranging 6 pots of flowers
B. Collecting coins to buy macapuno candies
C. Assigning plate number consisting of 3 letters and 4 digits.
D. Arranging seats of 8 people in a round table
_____ 12. You want to put a password on your cellphone. You prefer to use a number from 0-9 and
no repetition s allowed. The given situation involves,
A. permutation
B. combination C. probability
D. statistics
_____ 13. In C(8,3) , what is the value of n
B. 12
B. 8
C. 5
D. 3
_____ 14. The combination of n objects taken all at a time is equal to one.
A. true
B. false
C. maybe
D. wrong
_____ 15. What is the formula for combination?
A. C(n,r) = 𝑛!
B. C(n,r) =
𝑛!
𝑝!𝑞!𝑟!
C. C(n,r) =
𝑛!
𝑟!(𝑛−𝑟)!
D. C(n,n) =
𝑛!
(𝑛−𝑟)!
_____ 16. In a town fiesta singing competition with 12 contestants, how many ways can the organizer
arranged the first 3 singers?
A. 1,716
B. 1,320
C. 990
D. 132
_____ 17. How many 3-digit numbers can be formed from the digits 0 to 9 if no repetition is allowed?
A. 720
B. 1,000
C. 5,040
D. 30,240
_____ 18. Your friend visited you while you are planning to go to your farm, and you think of giving
him a set of fruits that you can find in your orchard: buko, tamarind, rambutan, caimito.
How many combinations can be formed if you select only three fruits out of the four
choices?
A. 3
B. 4
C. 6
D. 24
For item numbers 19-20.
Given n = 7, and r = 4
_____ 19. Find the permutation.
A. 210
B. 720
C. 840
D. 2,520
_____ 20. What is the combination?
A. 35
B. 70
C. 210
D. 84
_____ 21. It is defined as the set of elements that belongs to A or B (or to both).
A. permutation B. combination
C. intersection
D. union
_____ 22. A set of elements that are common to both A and B.
A. permutation B. combination
C. intersection
D. union
_____ 23. How will you write “A union B”?
A. A ∪ B
B. A ∩ B
C. A < B
D. A > B
_____ 24. How will you write “A intersection B”?
A. A ∪ B
B. A ∩ B
C. A < B
D. A > B
For item number 25-27.
Set A = { L, O, V, E } and Set B = { H, E, A, R, T }
Use the Venn Diagram to answer the questions that follow.
_____ 25. How many numbers of elements are there in Set A?
A. 4
B. 5
C. 6
D. 7
_____ 26. How many numbers of elements are there in Set B?
A. 4
B. 5
C. 6
D. 7
_____ 27. How many numbers of elements are there in A ∪ B?
A. 6
B. 7
C. 8
D. 9
A
B
L
H
O
E
V
A R
T
For item number 28-32.
A die is rolled once.
Let S = {1,2, 3, 4, 5, 6}
A = {2, 4, 6}
B = {2, 3, 4, 5, 6}
_____ 28. Determine the number of possible outcomes.
A. 3
B. 4
C. 5
D. 6
C = {1, 2, 3, 4}
_____ 29. How many number of elements are there in Set B?
A. 3
B. 4
C. 5
D. 6
_____ 30. What is P(A)?
A.
1
3
B.
1
C.
2
2
3
D.
1
6
_____ 31. What is P(A ∪ C)?
A.
1
3
B.
2
C.
3
1
6
D.
5
6
_____ 32. What is P(B ∪ C)?
A. 1
B. 2
C.
1
2
D.
1
3
For item number 33-36.
Use the Venn Diagram to answer the questions that follow.
_____ 33. Set A is a set of odd numbers, how many numbers
of elements are there in Set A?
A. 3
B. 4
C. 5
D. 6
1
A
B
3
6
2
5
8
4
_____ 34. Set B is a set of even numbers, how many numbers
of elements are there in Set B?
A. 2
B. 3
C. 4
D. 5
_____ 35. What is the probability of getting an odd number or an even number?
A. 0
B. 1
C. 2
D. 3
_____ 36. What is the probability of getting an odd number and an even number?
1
A.
2
B.
1
7
C.
7
49
D.
12
49
_____ 37. In tossing a coin, find the probability of getting a Head?
1
A.
2
B.
2
3
C.
1
4
D.
3
4
_____ 38. A die is rolled once, find the probability of getting a number greater than 2?
1
A.
3
B.
2
3
C.
1
4
D.
3
4
_____ 39. In a 52 deck of cards, find the probability of getting an Ace or a Diamond?
A.
1
13
B.
4
13
C.
2
13
D.
3
13
_____ 40. In a 52 deck of cards, find the probability of getting a Face or a Heart?
A.
11
26
B.
2
26
C.
3
26
D.
1
26
Prepared by:
LORRAINE P. RIVERA / OFELIA I. BAYARAS / ANALYN T. CAWICAAN
Subject Teachers
Checked by:
LERMA ANA A. COBA
Department Chairman
Verified by:
OFELIA I. OFELIA
Master Teacher II
Noted by:
MARIVIC G. VELGADO
Principal II
Republic of the Philippines
DEPARTMENT OF EDUCATION
Region IV – A CALABARZON
Division of Rizal
MAHABANG PARANG NATIONAL HIGH SCHOOL
Binangonan, Rizal
KEY TO CORRECTION IN MATHEMATICS 10
1. C
11. B
21. D
31. D
2. D
12. A
22. C
32. A
3. A
13. B
23. A
33. D
4. D
14. A
24. B
34. C
5. B
15. C
25. A
35. B
6. A
16. B
26. B
36. BONUS
7. B
17. A
27. C
37. A
8. D
18. B
28. D
38. B
9. C
19. C
29. C
39. B
10. C
20. A
30. B
40. A