3rd QUARTERLY ASSESSMENT TEST in Mathematics 10
School Year: 2024 – 2025
Name: ________________________________________________ Score: _______________
I. Multiple Choice: Encircle the letter of your answer.
1. Which of the following experiments does NOT have equally likely outcomes?
A. Choose a number at random from 1 to 7
B. Toss a coin.
C. Choose a letter at random from the word SCHOOL
D. None of the above.
2. What is the probability of choosing a vowel from the alphabet?
21
5
1
A.
B.
C.
D. None of the above.
26
26
21
3. A number from 1 to 11 is chosen at random. What is the probability of choosing an odd number?
1
5
6
A.
B.
C.
D. None of the above.
11
11
11
4. The number of ways selecting from the set when the order is not important.
A. Fundamental Counting Principle
C. permutation
B. distinguishable permutation
D. combination
5. It refers to the different possible arrangements of a set of objects.
A. n-Factorial
B. differentiation
C. permutation
D. combination
6. The different possible arrangements of objects in a circle.
A. permutation
B. distinguishable permutation C. circular permutation D. combination
7. It refers to the permutations of a set of objects where some of them are alike.
A. permutation
B. distinguishable permutation C. circular permutation D. combination
8. It refers to this n! is the product of the first in consecutive natural numbers.
A. Factorial Notation
B. differentiation
C. permutation
D. combination
9. If you cannot watch television and take a bath at the same time. What do you call that event?
A. dependent
B. independent
C. mutually exclusive D. not mutually inclusive
10. Which of the following situation will represent mutually exclusive event?
A. dancing while singing
C. writing while talking
B. ordering snacks in a canteen
D. children of two different families
11. What is the other term for “permutation”?
A. arrangement/order
B. combination
C. choices
D. groupings
12. 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
13. 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
14. Simplify
8!
5!
A. 16
B. 42
C. 120
D. 336
15. 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
16. What is the value of 4! ?
A. 4
B. 12
C. 24
D. 36
17. In how many ways can you arrange 5 potted plants in a row?
A. 100
B. 120
C. 150
D. 200
18. In how many ways can 3 people arrange themselves in a row for picture taking?
A. 4
B. 5
C. 6
D. 7
19. Evaluate P(5, 3).
A. 60
B. 75
C. 100
D. 125
20. Find the number of distinguishable permutations of the letters of the word GOOD.
A. 6
B. 9
C. 10
D. 12
21. 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
22. 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
23. 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
24. 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
25. 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
26. ______ is the measure of how likely an event is.
A. Sample Space
B. Probability
C. Experiment
D. Outcome
27. An ______ is a situation involving chance or probability that leads to results called outcomes.
A. Sample Space
B. Probability
C. Experiment
D. Outcome
28. An ______ is the results of an experiment
A. Sample Space
B. Probability
C. Experiment
D. Outcome
29. ______ is the set of all outcomes in an experiment.
A. Sample Space
B. Probability
C. Experiment
D. Outcome
30. An _____ is one or more outcomes of an experiment.
A. Intersection of events
B. Union of Events
C. Compound events
D. Event
31. _____ means that all the events are occurring together. Even if one event holds false all will be false and can only be true
if and only if all the events hold true.
A. Intersection of events
B. Union of Events
C. Compound events
D. Event
32. _______is something that has happened and is always associated with an experiment.
A. Intersection of events
B. Union of Events
C. Compound events
D. Event
33. _____ are event which consist of more than one outcome.
A. Intersection of events
B. Union of Events
C. Compound events
D. Event
34. Which of the following is an experiment?
A. Tossing a coin
C. Choosing a marble from a jar
B. Rolling a single 6-sided die
D. All of the above
35. Which of the following is an outcome?
A. Rolling a pair of dice.
C. Choosing 2 marbles from a jar.
B. Landing on red.
D. None of the above
36. 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
37. The results of an experiment are called _____________.
A. experiments
B. sample space
C. outcomes
D. simple events
38. Which of the following are the outcomes in tossing a single coin?
A. head or tail
B. S = {head, tail}
C. a head
D. a tail
39. What does this symbol “U” represents?
A. intersection, “and”
B. union, “and”
C. intersection, “or”
D. union, “or”
40. 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
B. pie chart
C. tree diagram
D. Venn diagram
41. 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}
42. What statement does the shaded region of the figure at the right represent?
A. C or D
B. C
C. C and D
D. D
43. 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 at the right to answer numbers 44 and 45.
44. 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}
45. 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}
II. Identify which situations illustrate permutation and which illustrate combination, then solve.
_______ 46.. Determine the top five winners from 6 contestants (1,2,3,4,5,6) in a mathematics quiz bee.
_______ 47. Choosing 2 household chores to do before dinner from 4 different chores (cooking, washing,
marketing, scrubbing).
_______ 48. Forming a committee of 4 members from 5 people (Alma, Brando, Charlie, Dhana, Ella).
_______ 49. Four people (Ivy, Cheska, Neil, Max) posting picture in a row.
_______ 50. Number of ways can Kuya Jun arrange 6 potted plants in a row.