3rd Periodical Test 10.docx

La Consolacion College Bacolod Integrated School PAASCU Accredited Third Periodical Test Mathematics 10

W/Permit W/o Permit

Name: ________________________________________________________________ Score: __________________ Section: _______________________________________________________________ Date: ____________________ General Instruction: LCCians choose to be honest even others are not, even others cannot and even others will not. I.

Multiple Choice: (45 points) A. Determine if the given situation illustrates permutation (P) or combination (C) then solve. Write the letter of your answers on the space provided before each number. Ex. Answer in no. 1(bonus)

P ,D

1. In how many ways can Susan arrange 7 books into 4 slots on her bookshelf? A. 70 B. 420 C. 210 D. 840 _______,_______2. A church has 9 bells in its bell tower. Before each church service 3 bells are rung in sequence. No bell is rung more than once. How many sequences are there? A. 60, 480 B. 120, C. 84 D. 504 960 _______,_______3. How many 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0? No digit can be used more than once. A. 720 B. 1,209,600 C. 604,800 D. 120 How many 2-letter codes can be formed using the letters A, B, C, D, E, and F? No letter can be used more than once. A. 720 B. 30 C. 360 D. 15 Roh finds 9 books at a bookstore that he would like to buy, but he can afford only 5 of them. In how many ways can he make his selection? How many ways can he make his selection if he decides that one of the books is a must? A. 3024; B. 7560; C. 15,120; D. 126; 1680 840 1680 70 A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are 11 members and any member can be elected to each position? No person can hold more than one office. A. 330 B. 7920 C. 990 D. 495 A hamburger shop sells hamburgers with cheese, relish, lettuce, tomato, onion, mustard, or ketchup. How many different hamburgers can be concocted using any 5 of the extras? A. 2520 B. 21 C. 1260 D. 42 From 9 names on a ballot, a committee of 4 will be elected to attend a political national convention. How many different committees are possible? A. 15, B. 3024 C. 1512 D. 126 120 The matching section of an exam has 5 questions and 9 possible answers. In how many different ways can a student answer the 5 questions, if none of the answer choices can be repeated? A. 6048 B. 15,120 C. 126 D. 3024 In a student government election, 5 seniors, 3 juniors, and 2 sophomores are running for election. Students elect four at-large senators. In how many ways can this be done? A. 30 B. 210 C. 151,200 D. 5040

_______,_______4.

_______,_______5.

_______,_______6.

_______,_______7.

_______,_______8.

_______,_______9.

_______,_______10.

B.

Identify the choice that best answers the question. Write your answer on the space provided before each number.

_________1.

A. C. _________2.

A. C. _________3.

A. C.

In a jar, there are 4 blue marbles, 3 green marbles, 7 red marbles, and 2 white marbles. Find the P(G). 30 % B. 3% 19% D. 18% In a deck of cards, find P(king) 7% B. 52% 4% D. 8% Find the P(H) when flipping a coin. 50 % B. 100% 5% D. 15%

Mathematics 10

“ LCCB @99: WELLSPRING OF PRAYER AND PROPHECY”

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_________4.

A. C. _________5.

A. C. _________6.

A. C. _________7.

A. C. _________8.

A. C. _________9.

A. C. _________10.

A. C. _________11.

A. C. _________12.

A. C. _________13.

A. C. _________14.

A. C. _________15.

A. B. C. D. _________16.

A. C. _________17.

A. C.

A box has these letter inside: S U Y O P S U Y S O S. With replacement, find the P(S, then Y) 8% B. 9% 6% D. 7% A bag of Skittles has 8 purple, 6 red, 7 green, and 5 yellow inside. With replacement, find the P(G then Y) 9% B. 6% 11% D. 5% Without replacement, find the P(R9, then R5) in a deck of cards. 4/52 B. 2/52 1/663 D. 1/676 You roll a die two times. Find the P(2, then an even #) 8% B. 16% 17% D. 50% In a bag, there are 3 red, 4 blue, 8 black, and 2 yellow marbles. Without replacement, find P(black, then R) 9% B. 8% 24% D. 20% A box has these letters inside: L C H S P A N T H E R S. With replacement, find the P(H, then S) 2% B. 3% 17% D. 27% How many different 4-letter arrangements can be made from the word PROB? 6 B. 24 12 D. 256 If a student tosses a fair coin four times. Each time she got a tails. What is the probability her next toss will also be a tail? ¼ B. 1/3 ½ D. 1 A student is using a spinner with four equal sections numbered 1 through 4. He also tosses a fair coin. What is the correct sample space for this compound event? {H,T} B. {(1,H),(2,H),(3,H),(4,H),(1,T),(2,T),(3,T),(4T)} {(HT,1),(HT,2),(HT,3),(HT,4)} D. {1,2,3,4} A film festival has 10 interns available during the summer. How many different ways can the Festival Director hire seven of the ten interns? 120 B. 60 604,800 D. 302,400 Every morning Mrs. Post walks from her house to each of the farm’s other structures. There are 3 barns, a workshop, and the house on the property. She varies the order in which she walks to each structure to shorten or lengthen her walking distance. In how many different orders can Mrs. Post, beginning at her house, walk to each of the farm’s other structures and then return to her house? 4 B. 12 120 D. 24 The dartboard has 8 sections of equal area. The letters represent the colors red (R), yellow (Y), blue (B), and green (G). Use a table to show the probability distribution for a dart that hits the board at a random location. COLOR R Y G B Probability 3/8 3/8 1/8 1/8 Y G COLOR R Y G B G G Probability ¼ ¾ ¾ ¼ Y Y COLOR R Y G B B R Probability 1/8 3/8 3/8 1/8 COLOR R Y G B Probability 3/8 1/8 3/8 1/8 Mr. Siason brought a cooler containing drinks to his daughter’s soccer game. There are 12 sports drinks, 7 cans of orange juice, and 5 sodas. If a drink is selected at random from the cooler, what are the chances that it is not a sports drink? 5/24 B. 1 7/12 D. ½ Franklin tossed a coin and rolled a die simultaneously. What is the probability that the coin shows tails and the die shows a two? 1/12 B. ½ ¼ D. 1/24

Mathematics 10

“ LCCB @99: WELLSPRING OF PRAYER AND PROPHECY”

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_________18.

A. C. _________19.

A. C. _________20.

A. C. _________21.

A. C. _________22.

A. C. _________23.

A. C. _________24.

A. C. _________25.

A. C.

If no digit appears more than once, how many 2-digit numbers can be formed from the digits 2, 3, 4, 5, 6, 7, 9? Does this situation represent a combination or a permutation? 4, combination B. 21, combination 42,permutation D. 97,permutation You and 3 friends play a game where each person writes down his or her name on a scrap of paper, and the names are randomly distributed back to each person. Find the probability that everyone gets back his or her own name. 24 B. 1/24 6 D. 1/6 Which expression is equivalent to 15 𝐶6? 15! 6!

B.

15 𝑃6

6!

D.

15∗14∗13∗12∗11∗10 2 15∗14∗13∗12 4

Suppose you are choosing a 2-digit personal access number using digits from 1 through 3 where no digit can be repeated. List all distinct access numbers possible. 11,12,13,22,23,33 B. 11,12,13,21,22,23,31,32,33 12,13,23 D. 12,13,21,23,31,32 Two urns contain white balls and yellow balls. The first urn contains 9 white balls and 9 yellow balls and the second urn contains 8 white balls and 3 yellow balls. A ball is drawn at random from each urn. What is the probability that both balls are white? Are these events independent or dependent? 4/11,independent B. 1/72, dependent 17/29, dependent D. 17/198, independent A couple has three children, what is the probability that they are all boys? 1/3 B. 1/8 3/8 D. 1/6 A couple would like to have two children, what is the probability that they will not be the same sex? ½ B. ¾ ¼ D. 1 Suppose a fair coin is tossed and a 6-sided number cube is rolled. What is the probability that the coin lands on tails and the outcome on the number cube is a number less than 3? 1/6 B. 1/12 1/3 D. 1/9

Prepared by: Norlie L. Cañete, LPT

Mathematics 10

“ LCCB @99: WELLSPRING OF PRAYER AND PROPHECY”

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