Grade 10 3rd Periodical Test in Mathematics 2024-2025 PDF

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Southville 8C National High School

2024

SOUTHVILLE 8C NATIONAL HIGH SCHOOL

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mathematics permutations combinations probability

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This is a Grade 10 mathematics 3rd periodical test covering topics like permutations, combinations, and probability. The test has multiple choice questions.

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**SOUTHVILLE 8C NATIONAL HIGH SCHOOL** **THIRD PERIODICAL TEST IN MATHEMATICS 10** **S.Y. 2024-2025** Direction: Read each statement carefully, then choose the letter of the correct answer. 1. It refers to the number of ways of selecting from a set when the order is important. a\. permutat...

**SOUTHVILLE 8C NATIONAL HIGH SCHOOL** **THIRD PERIODICAL TEST IN MATHEMATICS 10** **S.Y. 2024-2025** Direction: Read each statement carefully, then choose the letter of the correct answer. 1. It refers to the number of ways of selecting from a set when the order is important. a\. permutation b. combination c. probability d. FCP. 2. It is the different possible arrangements of objects in a circle. a\. factoring b. circular permutation c. n-factorial d. FCP 3. Which of the following situations describes PERMUTATION? a\. Selecting 2 songs from 10 choices for an audience piece. b\. Fixing the schedule of a group of students who must take exactly 8 subjects c\. Enumerating the subsets of a set. d\. Identifying the lines formed by connecting some given points on a plane 4. How many different 4-digit even numbers can be formed from the digits 1,3,5,6,8, and 9 if no repetition of digits is allowed? a\. 1,680 b. 840 c. 420 d. 120 5. Find the number of distinguishable permutations of the letters of the word PASS. a\. 4 b. 12 c. 36 d. 144 6. In how many ways can 5 people line up for a group picture if two wants to stand next to each other? a\. 48 b. 45 c. 40 d. 35 7. It refers to the number of ways of selecting from a set when order does not matter. a\. permutation b. combination c. probability d. FCP. 8. Which of the following situations does NOT illustrate combination? a\. Opening a combination lock. b\. Choosing 3 colors from color wheel. c. Selecting 5 representatives per section in career orientation. d\. Listing elements of a given set. 9. If C(5, 4)= n, what is n? a\. 3 b. 4 c. 5 d. 6 10. Which of the following shows order is NOT important? a.Winning in a contest b. Opening passcode of your cellphone c.Choosing combo meals d.Selecting top 3 students 11. Which of the following describes permutation? a\. Refers to different ways of arranging a set of objects in sequential order. b\. Order, placement and position are relevant. c\. It indicates different ways in selecting menu items, food, clothes and subjects d\. it refers to different arrangements can be created from a given set of objects. 12. From the given situations, which of them shows an arrangement? a\. Forming of words with the given letters. b\. Handshaking with others c\. Picking multiple objects in one draw. d.Forming a particular committee from a number of players. 13. Which of the following illustrates combination? a\. Six toppings of pizza. c. Opening combination lock. b\. Selecting top 5 students. d. Assembling jigsaw puzzle 14. Ten runners join a race. In how many possible ways can they be arranged as first, second and third placers? a\. 720 b. 820 c. 800 d. 700 15. Find the number of distinguishable permutations of the letters of the word EDUCATED. a\. 1680 b. 10 080 c. 20 160 d. 40 320 16. In how many ways can five people can do shake hands? a.10 b. 30 c. 45 d. 120 17. In how many ways can 8 people be seated around a circular table if two of them insist on sitting beside each other? a\. 360 b. 720 c. 1440 d. 5040 18. A committee of 5 people is to be chosen from a group of 6 men and 4 women. How many committees are possible if one particular woman must be excluded from the committee. a\. 126 b. 200 c. 230 d. 220 19. A die is rolled once. Find the probability of obtaining an odd number. a\. ½ b. 1/3 c. ¼ d. 1/6 20. What is the probability of choosing a consonant from the alphabet? a\. 21/26 b. 5/26 c. 5/28 d. 21/28 21. What is the probability of choosing a vowel from the alphabet? a\. 21/26 b. 5/26 c. 5/28 d. 21/28 22. What is the probability of choosing a consonant from the alphabet? a\. 21/26 b. 5/26 c. 5/28 d/ 21/28 23. Suppose the spinner is spun. Find the probability of spinning orange. a\. 1/4 b ½ c. 1/3 d. ¼ 24. From the spinner in item 23, What is the probability of spinning letter b. a\. 1/4 b. ½ c. 1/3 d. ¼ 25. A card is drawn from a standard deck. Find the probability of drawing a heart or a 7. a\. 4/13 b. 16/52 c. 13/50 d. 1/5 26. What is the probability of drawing a card from a deck that is either a diamond or an ace? a\. 4/13 b. 16/52 c. 13/50 d. 1/5 27. A box contains 3 red balls, 5 yellow balls and 2 blue balls. If a ball is picked at random from the box, what is the probability that a ball picked is a yellow ball? a\. ½ b. 1/3 c. ¼ d/ 1/6 28. Rhian likes to wear colored shirts. She has 15 shirts in the closet. Five of these are blue, four are in different shades of red and the rest are of different colors. What is the probability that she will wear a blue or a red shirt? a\. 3/5 b. ¾ c. 3/8 d.1 29. A card is drawn from a standard deck of cards,What is the probability of getting a spade or a jack? a\. 1/52 b. 4/13 c. 4/13 d. ¼ 30. A card is drawn from a standard deck of cards,What is the probability of getting a heart or 3? a\. 1/52 b. 4/13 c. 4/13 d. ¼ 31. It means two or more events or possibilities that cannot happen at the same time. a\. mutually exclusiveb. Not mutually exclusive c. union d. intersection 32. Which of the following describes mutually exclusive of events? a.drawing a 5 or 8 from deck of card c.rolling a pair of dice and getting even number and 6 b\. getting both 90 grades in Math and Science d. getting a prime and odd number in a flash card 33. Francis has 3 white balls, 4 green balls and 5 red balls in a box. He takes a ball from his box at random. What is the probability that it is a white ball or green ball? a\. 5/12 b.7/12 c. 11/12 d.1 34. One die is tossed. What is the probability that it shows a 2 or a 6? 1/3 b. 2/3 c.4/3 d.5/3 35. One ball is drawn from a box containing 3 black balls, 5 white balls and 4 red balls. Determine the probability that the ball drawn is white or black? a\. 1/2 b. 1/4 c. 3/4 d. 2/3 For numbers 36-38. Two dice are rolled, find the probability that the sum is 36. Equal to 1 37. Equal to 6 38. Less than 13 a.0 b.1/2 c 5/36 d. 1 a.11/21 b.10/21 c 21/21 d.4/21 40. A card is drawn from a standard deck. Find the probability of drawing a heart or a 7. a\. 4/13 b. 16/52 c. 13/50 d. 1/5 Prepared By: Checked By: Noted by: **[ZARINA R. SANTOS] [GREGORIA M. CAMACHO] [CAREN S. CATUIRAN Ph.D]** Mathematics Teacher Department Head Principal I **[CAREN S. CATUIRAN]** Principal I MATHEMATICS 7 THIRD PERIODICAL TEST Key Answer 1. 21\. B 2. C 22. D 3. C 23. A 4. B 24. B 5. C 25. A 6. B 26. A 7. A 27. C 8. B 28. A 9. D 29. B 10. D 30. B 11. B 31. C 12. C 32. B 13. B 33. A 14. B 34. A 15. A 35. B 16. C 36. B 17. A 37. A 18. C 38. B 19. A 39. C 20. D 40. B

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