Department of Education Region III D I V I S I O N O F PA M PA N G A City of San Fernando
THIRD PERIODIC TEST IN MATHEMATICS GRADE 10 DIRECTION: ON YOUR ANSWER SHEET, WRITE THE LETTER OF CORRECT ANSWER.
1. An ordered arrangement of all parts of the set of the objects is ca lled ... A. Comb Combin inat atio ion n B. Comb Combin inat ator oric icss C. Perm Permut utat atio ion n D. Prob Probab abil ilit ity y 2. Five friends Dads Anne Pa! "un and #rene too$ a jeepney ride in going home h ome from Division %ffice. &here are e'actly five seats in the vehicle. #n ho( many (ays can they seat themselves) A. * B. 1* C. +, D. 12, -. sing the digits 1 2 - / and * ho( many / digit odd and even numbers (ill be formed) A. 12, B. 02 C. / D. * /. o( many five3digit numbers can be formed from the numbers 1 - * + 0 and 4 if repetition of digits is allo(ed) A. /*-+, B. 1+,0 C. 2*2, D. -4 *. &eachers &eachers of 5an #sidro igh 5chool are re6uired to undergo medical chec$ up at the Barangay ealth Center once a year. Find the number of (a ys in (hich a teacher may be classified if the categories include 718 blood type 7AB A B %8 728 se' 7male or female8 7-8 blood pressure 7high normal lo(8. A. 2/ B. 12 C. 4 D. + +. #f there are seven doors providing access to a building in ho( many (ays can a person enter the building by one door and leave by a different door) A. 1B. 1/ C. /2 D. /4 0. #f P7 r8 9 +02, (hat is r) A. * B. + C. 0 D. . #n ho( many (ays (a ys may the letters of the (ord :A55;55<;=&5> be arranged) A. -4 41+ 41+ ,, ,, B. 1++ -2 -2, C. +4-, D. 1
4. 5i' boo$s in
A. 14 B. *+ C. /, D. 1,, ,, 14. o( many committees of five can be formed from eight "uniors and four 5eniors if each committee is to be consist of three "uniors and t(o seniors) A. 12, B. --+ C. 02, D. /, -2, 2,. ?hich of the follo(ing situations or activities involve permutations) A. Choosing + 6uestions to ans(er out of 1, 6uestions in a test B. %pening a combination loc$ C. 5electing * people from a student affair committee D. isting the elements of subsets of a given set 21. &here are 0 men and * (omen in the group of 12 people. o( many committees of * can you form in each group must contain e'actly 2 (omen) A. 12, B. -*, C. *,/, D. +,/ ,, 22. ?hich of the follo(ing situations or activities involve Combinations) A. Assigning seats to guest at dinner B. ;ntering the P#= at your A&< Card C. Forming triangles from 0 distinct points in (hich no - points are collinear D. ?inning in a contest 2-. %n a certain e'amination the students must ans(er out of the 12 6uestions including e'actly * of the first +. #n ho( many (ays may he (rite the e'aminations) A. 12, B. /4* C. 042 D. 42/ 2/. #f C71/ r8 9 -,,- (hat is r) A. 0 B. C. 4 D. 1, 2*. #f there are ten points on a plane no three of (hich are collinear ho( many lines can be determined by these points) A. /* B. 12, C. 1+* D. 2*2 2+. ?hat is C711 +8) A. /+2 B. 02, C. ** //, D. --2 +/, 20. #n a class of 1* boys and 1, girls in ho( many (ays may a committee made up of - boys and 2 girls be selected) A. /* B. /** C. -,,D. 2, /0* 2. A student has ten posters to pin up on the (alls of her room but there is space for only seven. #n ho( many (ays can she choose the posters to be pinned up) A. 12,
B. *,/, C. +,/ ,, D. - +2 ,, 24. o( many 23digit odd numbers can be formed from the numbers 1 2 - / * + if repetition is not allo(ed) A. 4 B. 12 C. 1* D. 1 -,. #n ho( many (ays can four boys and four girls be seated in a ro( containing eight seats if a person may sit in any seat) A. 2/ B. 1+, C. 11 , D. /, -2, -1. #f three coins are tossed at the same time (hat is the probability of all three head s) A. 1 B. 1C. - D. 1 -2. A die is rolled once. Find the probability of obtaining a 0) A. ,+ B. 1+ C. ++ D. 0+ --. &hree bad eggs are put into a carton (ith nine good eggs. #f t(o eggs are selected at random find the probability both eggs are good. A. 122 B. +11 C. 422 D. 1*22 -/. A bas$et contains 2, oranges -, apples and *, guavas. ?hat is the probability that the fruit dra(n is an apple) A. 1* B. -1, C. D. 01, -*. A president a vice president and a secretary are to be selected from a class of t(enty students. ?hat is the probability that #rish a member of the class (ill be elected president) A. 1-4 B. 12, C. 114 D. -2, For numbers -+ to - use the figure belo(. &he Division of Pampanga has *2 athletes many of (hom play multiple sports. &he most commonly sports they play are athletics bas$etball and volleyball. se the Eenn diagram belo( to determine the probability of selecting a student (ho@ Athletics Bas$etball 4 20
20 3 6
2
8
Eolleyball
-+. o( many students participate in volleyball) A. B. 4 C. 14 D. 2, -0. ?hat is the probability that the student participates in bas$etball or vo lleyball) A. 4*2 B. 1C. -0*2 D. 142+ -. ?hat is the probability that the student participates only in athletics and volleyball) A. + B. 4 C. 11 D. 1-4. Ann li$es to (ear colored shirts. 5he has 12 shirts in the closet. Four of these are pin$ three are in different shades of yello( and the rest are of different colors. ?hat is the probability that she (ill (ear a pin$ or a yello( shirt) A. 1B. *12 C. 012 D. /,. A motorcycle license plate has - letters and / numbers. ?hat is the probability that a motorcycle has a license plate contains a triple letter and an odd number) A. 11-*2 B. 1+0+ C. 11-, D. 12+ /1. sing the digits 1 2 and - ho( many numbers can be formed if repetition is not allo(ed) A. + B. 12 C. 1* D. 2/ /2. &here are five red balls and four blue balls in a bag. A ball is dra(n from the bag. ?hat is the probability of dra(ing 2 red balls and 2 blue balls in succession (ithout replacement) A. *+B. 2* C. D. /4 /-. Gaf has * blac$ pens / blue pens and - red pens in his bag. Gaf randomly pic$s t(o pens out of his bag. ?hat is the probability that Gaf chose t(o blac$ pens if he replaced the first pen bac$ in his poc$et before choosing a second pen) A. 41// B. 1+1// C. 2*1// D. +,1// //. A bas$et contains apples + bananas / guavas and / oranges. ?hat is the probability of randomly choosing an apple replacing it and then randomly choosing a banana) A. 220+ B. /1--1 C. -22 D. 1/22 /*. A toy bo' contains 1, toys + stuffed animals and / board games.
C. -2, D. -1, /+. &he probability that a bas$etball team (ill (in the game is ,.0* (hat is the probability that it (ill lose) A. ,.2* B. ,.* C. +.0* D. 1 For numbers /0 to /@. Consider the table belo( sho(ing A as the group of under /, years old (ho purchase 2 different brands of pants. Age group A 7under /, years old8 A1 7 /, years and older8 &otal
Brand ' 0H 1*H 22H
Brand y 2-H **H 0H
&%&A -,H 0,H 1,,H
/0. ?hat is the probability that a person chosen at random purchase Brand y) A. 22H B. 2-H C. 1*H D. 0H /. ?hat is the probability of a person chosen at random purchase Brand y and heshe is /, year and older) A. ,.21/B. ,.2--C. ,.0++1 D. ,.0*0 /4. At a volleyball game 0,H of the fans cheered for team '. #n the same cro(d -,H of the fans (ere (aving banners and cheering for team ') ?hat is the probability that a fan (aved a banner given that the fan cheered for team ') A. -1, B. -0 C. 01, D. 1 *,. A family has t(o children. ?hat is the probability that the younger child is a girl given that at least one of the children is a girl) A. B. 2C. D. 1
