4th quarter-math-10
- 1. Republic of the Philippines Department of Education Region III – Central Luzon Tarlac City Schools Division STO. CRISTO INTEGRATED SCHOOL High School Department S.Y. 2018-2019 GRADE 10 – MATHEMATICS FOURTH QUARTER EXAMINATION March 7 - 8 Identify what is being asked, write your answers in a clean sheet of ½ lengthwise paper. WRITE CAPITAL LETTERS ONLY. ERASURE AND SUPERIMPOSITION will be marked as WRONG. 1.The formula 𝑛! ( 𝑛−𝑟)! is for the ____________ of n objects taken r at a time. A. Distinguishable PermutationB. Circular Permutation C. Permutation D. Combination 2. It focuses on the selection of objects without regard to the order in which they are selected. A. Distinguishable PermutationB. Circular Permutation C. Permutation D. Combination 3. It is the set of all outcomes in an experiment. A. Experiment B. Compound Event C. Sample Space D. Simple Event 4. It is an event which consists of more than one outcome. A. Experiment B. Compound Event C. Sample Space D. Simple Event 5. It is the measure of the likelihood that an event will occur. A. Fundamental Counting Principle B. Probability C. Outcome D. Factorial 6. It is any events which consist of a single outcome in the sample space. A. Experiment B. Compound Event C. Sample Space D. Simple Event 7. It states that if one event has m possible outcomes and a second event has n possible outcomes, then there are m times n total possible outcomes for the two events together. A. Fundamental Counting Principle B. Probability C. Outcome D. Factorial 8. These are the activities such as rolling a die, tossing a coin, or randomly choosing a ball from a box which could be repeated over and over again, and which have well-defined results. A. Experiment B. Compound Event C. Sample Space D. Simple Event 9. It focuses on the arrangement of objects with regard to the order in which they are arranged. A. Distinguishable Permutation B. Circular Permutation C. Permutation D. Combination 10. The formula 𝑛! 𝑟!( 𝑛−𝑟)! is for the ____________ of n objects taken r at a time. A. Distinguishable Permutation B. Circular Permutation C. Permutation D. Combination For numbers 11-12, five couples want to have their pictures taken. In how many ways can they arrange themselves in a row if 11. Couples must stay together? A. 3628800 B. 24 C. 240 D. 720 12. They may stand anywhere? A. 3628800 B. 24 C. 240 D. 720 13. Supposed you secured your bike using a combination lock. Later,you realized that you forgot the 4-digit code. You only remembered that the code contains the digits 1, 3, 4 and 7. How many possible codes are there? A. 3628800 B. 24 C. 240 D. 720 14. Ten runners join a race. In how many possible ways can they be arranged as first, second and third place? A. 3628800 B. 24 C. 240 D. 720 15. In a certain general assembly, three major prizes are a stake. In how many ways can the first, second and third prizes be drawn from a box containing 120 names? A. 315 B. 1680 C. 1685040 D. 360 16. In how many ways can 5 people be seated around a circular table? A. 210 B. 70 C. 504 D. 24 17. Mrs. Rivera’s business is gown rental and sale. She decided one day that she would display her 10 newest gowns in her shop’s window to attract customers. If she only had 5 mannequins and planned to change the set of gowns every 2 days, how many days will have to pass before she runs out of a new set to display? A. 210 B. 70 C. 504 D. 24 PAGE 1 OF 3
- 2. 18. In a 10-item Mathematics problem-solving test,how many ways can you select 5 problems to solve? A. 15120 B. 252 C. 5 040 D. 968 19. Find the number of permutations of the letters of the word STATISTICS. A. 15120 B. 15120 C. 5 040 D. 968 20. If there are 12 teams in a basketball tournament and each team must play every other team in the eliminations, how many elimination games there will be? A. 3150 B. 126 C. 66 D. 2598960 For numbers 21 – 35: A survey was conducted to 100 Mobile Legend players about their opinion on the best marksman hero, it was found out that; 35 chose Claude, 24 chose Lesley, 30 chose Layla, 18 chose Claude and Lesley, 11 chose Lesley and Layla, 15 chose Claude and Layla, 10 chose all the three heroes 21. How many players chose Claude only? A. 5 B. 14 C.35 D. 12 22. If a player is selected at random, what is the probability of selecting a player who chose Claude only? A. 12% B. 14 % C. 5% D. 35% 23. How many players chose Layla only? A. 5 B. 14 C.35 D.12 24. If a player is selected at random, what is the probability of selecting a player who chose Layla only? A. 12% B. 14 % C. 5% D. 35% 25. How many players chose Lesley only? A. 14 B. 35 C.12 D. 5 26. If a player is selected at random, what is the probability of selecting a player who chose Lesley only? A. 12% B. 14 % C. 5% D. 35% 27. How many players chose Claude? A. 12 B. 35 C.5 D. 14 28. If a player is selected at random, what is the probability of selecting a player who chose Claude? A. 12% B. 14 % C. 5% D. 35% 29. How many players chose atleast 2 heroes? A. 24 B. 45 C. 14 D. 100 30. If a player is selected at random, what is the probability of selecting a player who chose atleast 2 heroes? A. 55% B. 45% C. 24% D. 14% 31. How many players chose exactly one hero? A. 24 B. 45 C. 14 D. 100 32. If a player is selected at random, what is the probability of selecting a player who chose Claude? A. 55% B. 45% C. 24% D. 14% 33.How many players did not choose any of these heroes? A. 24 B. 45 C. 14 D. 100 34. If a player is selected at random, what is the probability of selecting a player who did not choose any of these heroes? A. 55% B. 45% C. 24% D. 14% 35. If a player is selected at random, what is the probability of selecting a player who chose at most 2 heroes? A. 55% B. 45% C. 24% D. 14% For numbers 36-50. A survey was conducted with 50 students on the ice cream they like. It was found out that 28 like chocolate, 15 like mango, and 20 like strawberry. Furthermore,8 like chocolate and strawberry,11 like mango and strawberry,and 7 like chocolate and mango and 4 like all the flavors. 36. How many like strawberry only? A. 17 B. 5 C. 20 D. 1 37. If a student is selected at random, what is the probability of selecting a student who chose strawberry only? A. 10% B. 40% C. 2% D. 34% 38. How many chose Mango only? A. 17 B. 5 C. 20 D. 1 39. If a student is selected at random, what is the probability of selecting a student who chose Mango only? A. 10% B. 40% C. 2% D. 34% 40. How many chose Chocolate only? A. 17 B. 5 C. 20 D. 1 41. If a student is selected at random, what is the probability of selecting a student who chose Chocolate only? A. 10% B. 40% C. 2% D. 34% 42. How many chose strawberry? A. 17 B. 5 C. 20 D. 1 43. If a student is selected at random, what is the probability of selecting a student who chose Strawberry? A. 10% B. 40% C. 2% D. 34% 44. How many chose atleast 2 flavors? A. 18 B. 50 C. 9 D. 23 45. If a student is selected at random, what is the probability of selecting a student who chose atleast 2 flavors? A. 74% B. 18% C.46% D. 36% PAGE 2 OF 3
- 3. 46. How many did not choose any of these flavors? A. 18 B. 50 C. 9 D. 23 47. If a student is selected at random, what is the probability of selecting a student who did not choose any of these flavors? A. 74% B. 18% C.46% D. 36% 48. How many chose exactly one of the flavors? A. 18 B. 50 C. 9 D. 23 49. If a student is selected at random, what is the probability of selecting a student who chose exactly one flavor? A. 74% B. 18% C.46% D. 36% 50. If a student is selected at random, what is the probability of selecting a student who chose at most 2 flavors? A. 74% B. 18% C.46% D. 36% Bonus points: Write down your own Math Hugot or Math punch line at the back of your paper. Prepared by: Checked By: Noted: RAMIL J. MERCULIO REA R. GARCIA SHERYLL B. DUQUE Teacher I – Mathematics Math Leader Head Teacher I JOVENCIO R. DELA CRUZJR. Teacher I - Mathematics Approved: RODELIO D. QUIAMBAO CHRISTOPHERD. ESTEBAN Ph. D. Assistant Principal II Principal I PAGE 3 OF 3