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3RD Quarter Grade 10

This document appears to be a mathematics examination containing multiple choice and problem solving questions relating to topics like geometry, probability, and statistics. Some key details include: - There are 20 multiple choice questions testing concepts such as tangent lines, midpoint formulas, probability, and dependent vs independent events. - The problem solving section involves finding the center and radius of circles given equations, calculating probabilities of events from defined sample spaces, and determining if example events are mutually exclusive, dependent, or independent. - Questions range in difficulty from basic geometry to more advanced probability concepts and require both calculations and conceptual understanding of mathematical terms and formulas.

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Marlou Kipkipan
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402 views2 pages

3RD Quarter Grade 10

This document appears to be a mathematics examination containing multiple choice and problem solving questions relating to topics like geometry, probability, and statistics. Some key details include: - There are 20 multiple choice questions testing concepts such as tangent lines, midpoint formulas, probability, and dependent vs independent events. - The problem solving section involves finding the center and radius of circles given equations, calculating probabilities of events from defined sample spaces, and determining if example events are mutually exclusive, dependent, or independent. - Questions range in difficulty from basic geometry to more advanced probability concepts and require both calculations and conceptual understanding of mathematical terms and formulas.

Uploaded by

Marlou Kipkipan
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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DURIAN NATIONAL HIGH SCHOOL

3rd PERIODICAL EXAMINATION


MATHEMATICS 10
Name: ____________________________________ Score:
I. MULTIPLE CHOICE
1. In a Tangent line, the point of intersection of the line in the circle is called ________?
A. Point of Intersection B. Tangent Point C. Point of Tangency D. Tangent circle
2. It is a line intersects a circle at exactly 2 points and it also contains a chord of a circle.
A. Tangent Line B. Secant line C. Point of tangency D. Line Segment
3. It is a line coplanar of w/ the circle and intersects it in one and only one point.
A. Tangent line B. Secant line C. Point of Tangency D. Line Segment
* For Items 4 - 7, use the Distance formula and find the distance between the given 2 points with its
coordinates.
4. (3,4) and (0,0)
A. √25 B. - 5 C. √14 D. 5
5. (-3, 4) and (5, - 2)
A. – 10 B. 10 C. √100 D.6.32
6. (5,-5) and (0,0)
A. √−10 B. √0 C. 0 D. 5√2
7. (0,0) and (4,6)
A. 2√13 B. √52 C. 2√5 D. √20
* For items 8 - 11, use the Midpoint formula and find the coordinates of the midpoint of the segment
whose endpoints are given below
8. D(-1,-5) and M(7,1)
A. (3,2) B. (-3,-2) C. (-3,2) D. (3,-2)
9. A (6,8) and B(12,10)
A. (9,0) B. ( 9,9) C. (-9,9) D. (9,-9)
10. P (-5,-1) and L (8,6)
3 2 3 2 3 2 3 2
A. (2 , 5) B. (2 , − 5) C. (− 2 , 5) D. (− 2 , − 5)
11. L (-3,-2) and G (8,9)
7 5 5 7 7 5 5 7
A. (2 , 2) B. (2 , 2) C. (2 , − 2) D. (2 , − 2)
12. It is a composition of two or more simple events
A. Probability B. Compound Events C. Mutually Exclusive Event D. Simple Event
13. It is a Branch of Mathematics that deals with Uncertainty.
A. Probability B. Event C. Experiment D. Conditional Probability
14. These are the activities such as tossing a coin, tolling a die, or picking a card w/o looking which could
be repeated over and over again & w/c have well-defined results.
A. Outcomes B. Fun activities C. Experiments D. Probability act.
15. A die is rolled, what is the probability that an even number is obtained?
3 3 3 1
A. 4 B. 2 C. 6 D. 2
16. Two coins are tossed, what is the probability that two heads are obtained. (Note: Each coin has two
possible outcomes H (heads) and T (Tails).)
1 1 2 3
A. 4 B. 2 C. 4 D. 4
17. It is a compound event in which 2 events cannot happen at the same time.
A. Mutually Exclusive Event C. Mutually Inclusive Event
B. Dependent Event D. Independent Event
18. It is a compound event in which 2 events can occur at the same time.
A. Mutually Exclusive Event C. Mutually Inclusive Event
B. Dependent Event D. Independent Event
19. Two events in which the occurrence of one event affects the occurrence of the other is called____?
A. Mutually Exclusive Event C. Mutually Inclusive Event
B. Dependent Event D. Independent Event
20. Events in which the outcome of one event affects the outcome of another event is called_____?
A. Mutually Exclusive Event C. Mutually Inclusive Event
B. Dependent Event D. Independent Event
II. PROBLEM SOLVING
A. Find the Center and the Radius of the Circle of the following; (5 points each)
1.) (𝑥 + 7)2 + (𝑦 + 1)2 3.) 𝑥 2 + 𝑦 2 – 8y – 84 = 0

2.) 4𝑥 2 + 4𝑦 2 − 20𝑥 + 12𝑦 − 2 = 0

B. Let M be the set of numbers greater than 0 but less than 22. Find the Probability of the following;
M{ }
1. A # between 3 and 20 -
2. An odd # greater than 7 but less than 21 -
3. Even prime # -
4. An even # greater than 6 but less than 16 -
5. Composite odd # -
C. If one letter is choosen In the word THOUGHTFULNESS, what is the probability that the letter choosen
is/are;
1. Z -
2. Consonants -
3. Vowels -
4. Letters between D and J -
5. Vowel letters between A and E -
D. Determine whether the Events are MUTUALLY EXCLUSIVE or MUTUALLY INCLUSIVE,DEPENDENT or
INDEPENDENT, then Find the Probability of the following; (5 points each)
1. Jesielou has red chips, 12 blue chips, and 24 white chips. What is the probability that Jesielou
selects a red chip orr a white chip?

2. Drawing a card from a standard deck of cards. What is the probability that the card drawn is a
Heart or odd number?

3. A toy box contains 12 toys, 8 stuff animals and 3 board games. Joey randomly chooses 2 toys for
the child he is baby setting to play with. What is the probability that he chooses 2 stuff animals as
the first two choices?

4. Jhonloyd is asked to choose a day from a week. What is the probability of choosing a day w/c starts
w/ letter S?

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