Department of Education
Region VII
Ormoc City Division
IPIL NATIONAL HIGH SCHOOL
Ipil, Ormoc City
3rd PERIODICAL EXAMINATION IN MATHEMATICS 10
Name: _______________________________________________ Section: ______________________
TEST I: MULTIPLE CHOICE
Read and understand each item, then choose the letter of your answer.
1. Which expression is equivalent to 𝑛!?
A) 𝑛(𝑛−1)(𝑛−2)...2×1
B) 𝑛 – (𝑛 – 1)
C) 𝑛(𝑛−1)
D) (𝑛 – 1)(𝑛 – 2)
2. The number of combinations of n objects taken r at a time is denoted
A. 𝑛!𝑟!
B. 𝑛!/(𝑛−𝑟)!𝑟!
C. 𝑛!/(𝑛−𝑟)𝑟!
by ________.
D. 𝑛!
3. Which of the following illustrates the permutation of objects?
a.
b.
c.
d.
Choosing a favourite delicacy in Calbiga.
Picking three (3) different delicacies in Calbiga for endorsement.
Selecting which store sells the best delicacies.
Arranging Piñato, Binagol, Moron and Lunga in a store.
4. Which of the following requires combination?
A. Issuing plate numbers.
B. Lining up in paying bills.
C. Arranging 6 people in a round table.
D. Choosing five badminton players from 12 athletes.
5.
The School’s I Can Bazaar has 8 delicacies and they are thinking on what are the
possible arrangements. Which of the following illustrates the concept?
a. Analysis
b. Permutations
c. Combinations
d. Probability
6 Which of the circles has a center located in the third quadrant of the coordinate plane?
a) 𝑥2+(𝑦+4)2=4
b) (x−3)2+(y−1)2=9
c) (x+5)2+(y+3)2=1
d) (x+3)2+(y−2)2=4
7. Evaluate 7P5.
A) 42
B) 120
C) 2,520
D) 5,040
8. Evaluate: 12𝐶3.
A. 2,200
B. 1,320
C. 220
9. In how many ways can nine people be seated around a circular table?
A. 362,880
B. 40,320
C. 5,040
D. 720
D. 132
10. In how many ways can the letters of the word “SWIMMING” be arranged?
A. 10,800
B. 10,080
C. 1,860
D. 1,680
11. Five different keys are to be placed on a circular key chain. How many different
arrangements are there?
A. 4
B. 5
C. 12
D. 24
12. In how many ways can the letters of the word MATH be arranged?
A. 4
B. 12
C. 24
D. 48
13. If A = {2, 4, 6, 8, 10, 12, 14, 16} and B = {3, 6, 9, 12, 15}, find
n(A ∪ B).
A) 0
B) 2
C) 8
D) 11
14. Which of the following is a true statement?
A) The probability of a certain event is 0.
B) The probability that an event will happen is from 0 to 1.
C) The closer is the probability of an event to 0, the more likely it is to happen.
D) In an experiment with outcome that are equally likely to happen, the probability of
an event is the ratio that compares the number of favorable outcomes to the number of not
favorable outcomes.
15. In an interview, students were asked what subject they like. 85 students like Mathematics,
123 like Science and 15 liked it both. How many students were interviewed?
a. 15
b. 193
c. 208
d. 223
16. Of 150 TV viewers, 64 watched GMA Kapuso only, 36 watched ABS-CBN Kapamilya only,
and 30 did not watch either. How many watched both?
a. 20
b. 30
c. 50
d. 60
17. The collection of all outcomes for an experiment is called
a.
a sample space
c. an outcome
b.
b. an experiment
d. an event
18. Which of the following are mutually exclusive events when a card is chosen at random
from a standard deck of 52 cards?
A. Choosing a 9 or a diamond
C. Choosing a king or a queen
B. Choosing an ace or a red card
D. All of the above
19. Which of the following are mutually exclusive events when a fair die is rolled?
A. Getting a number less than 3 or a multiple of 3
B. Getting a factor of 4 or a number divisible by 2
C. Getting an odd number or a factor of 3
D. Getting a 2 or a prime number
20. All the following events are not mutually exclusive events EXCEPT:
A. Drawing a jack or a heart from a standard deck of cards
B. Choosing a factor of 6 or a multiple of 4 from the numbers 1-10
C. Spinning a 1 or an odd number in a spinner with 4 congruent sectors
D. Rolling a composite number or an even number in rolling a fair die
21. A card is drawn from a deck of 52 playing cards. Given that the card drawn is a face
card, then what is the probability of getting a red card?
3/13
b. 1/2
c. 2/7
d. 8/52
22. Juan spun the spinner numbered 1 to 8. What is the probability that results in an even
number or a number less than 4?
a. 1/4
b. 3/8
c. 1/2
d. 5/8
23. A card is drawn from a standard deck of 52 cards. What is the
probability of drawing a 3 or a face card?
A. 1/13
B. 2/13
C. 3/13
D. 4/13
24. The center of a circle is at (7,−2) and the radius is 5 units. What is the equation of the
circle?
A. (𝑥+7)2+(𝑦−2)2=25
C. (𝑥+7)2+(𝑦−2)2=5
2
2
B. (𝑥−7) +(𝑦+2) =25
D. (𝑥−7)2+(𝑦+2)2=5
25. A new transmission tower will be put up midway between two existing towers. In a map
drawn on a coordinate plane, the coordinates of the first existing tower are (−5,−3) and the
coordinates of the second existing tower are (9,13). What are the coordinates of the point
where the new tower will be placed?
a) (2,10) b) (7,8) c) (2,5)
d) (14,16)
TEST II: TRUE/ FALSE
Directions: Read and analyze the statement carefully using the municipalities of Samar and
write TRUE if it illustrates combination and FALSE if not. Write your answer on your answer
sheet.
_________ 26. Arranging coastal municipalities .
_________ 27.Determining the top three cleanest municipalities
_________ 28. Picking five municipalities to recipient of housing project
__________29. Forming a committee of four municipalities from the different municipalities of
Samar.
__________30. Assigning seats to the mayors of the different municipalities.
Directions: Read the following statements very carefully. On your answer sheet, write TRUE if
the statement is true if it is not, write FALSE.
__________31.) The probability can be greater than 1.
__________32.) The probabilities of an event can be any number between 0 and 1.
__________33.) The set of all possible outcomes of a probability experiment is called sample
space.
__________34.) A simple event is a collection of more than one outcome.
_________ 35.) Random variable values are determined by chance.
Prepared by:
Checked by:
KERO ROY C. TADEO/NOIMIE L. GARBO
SST-I
SST-II
LORENZO Y. ARAÑEZ JR.
Math Coordinator
Noted by:
Approved by:
PUREZA H. MOSQUITE
Head Teacher III
ELENA ANGELITA C. SIOS-E
Secondary School Principal III