Southville 8C National High School Math 10 1st Periodical Test PDF

SOUTHVILLE 8C NATIONAL HIGH SCHOOL FIRST PERIODICAL TEST IN MATHEMATICS 10 S.Y: 2024- 2025 MULTIPLE CHOICE. Read each question carefully and choose the best answer. 1. Which among the following sets of numbers shows a...

SOUTHVILLE 8C NATIONAL HIGH SCHOOL FIRST PERIODICAL TEST IN MATHEMATICS 10 S.Y: 2024- 2025 MULTIPLE CHOICE. Read each question carefully and choose the best answer. 1. Which among the following sets of numbers shows a pattern? a. 2, 4, 6, 8, 10 b. 3, 7, 10, 15, 21 c. 1, 3, 7, 12, 18 d. 5, 9, 13, 17, 22 2. What is the meaning of the term "sequence" in relation to patterns? a. A set of numbers arranged in a specific order b. A group of shapes arranged in a specific pattern c. A series of steps to follow to solve a problem d. A repetitive design or motif 3. What is an arithmetic sequence? a. A sequence that involves adding a constant value to each term b. A sequence that involves multiplying each term by a constant value c. A sequence that involves subtracting a constant value from each term d. A sequence that involves dividing each term by a constant value 4. Which of the following is an arithmetic sequence? a. 2, 4, 8, 16 b. 3, 6, 9, 12 c. 5, 10, 20, 40 d. 1, 3, 9, 27 5. What is the formula to find the nth term of an arithmetic sequence? a. 𝑎𝑛 = 𝑎1 + (𝑛 + 1)𝑑 b. 𝑎𝑛 = 𝑎1 − (𝑛 + 1)𝑑 c. 𝑎𝑛 = 𝑎1 − (𝑛 − 1)𝑑 d. 𝑎𝑛 = 𝑎1 + (𝑛 − 1)𝑑 6. There are 7 arithmetic means between a1 and a8. a. True b. False 7. Find the missing term in the arithmetic sequence 9, ___, 3. a. 4 b. 5 c. 6 d. 7 8. What is the arithmetic mean of 14 and 50? a. 24, 34, 44 b. 23, 32, 41 c. 20, 31, 42 d. 21, 32, 43 9. Given the arithmetic sequence 32, ___, ___, ___, 68 whose arithmetic means are missing, what is the value or the common difference? a. 8 b. 9 c. 10 d. 11 10. What term is 5 in the sequence 50, 45, 40, 35,...? a. 5th term b. 9th term c. 6th term d. 10th term 11. Find the 20th term of the arithmetic sequence 5, 9, 13, 17, 21,... a. 78 b. 87 c. 81 d. 84 12. The 10th term of an arithmetic sequence is 22 with a common difference of -2. Find a1. a. 40 b. 42 c. 44 d. 46 13. What kind of sequence is the pattern 400, 200, 100, 50, 25,...? a. Arithmetic b. Geometric c. Harmonic d. Fibonacci 14. What is a geometric sequence? a. A sequence where each term is the sum of the previous two terms b. A sequence where each term is the product of the previous term and a constant c. A sequence where each term is the difference between the previous two terms d. A sequence where each term is the sum of the previous term and a constant 15. What are the key differences between an arithmetic sequence and a geometric sequence? a. An arithmetic sequence has a common difference, while a geometric sequence has a common ratio. b. An arithmetic sequence has a common ratio, while a geometric sequence has a common difference. c. An arithmetic sequence has no common difference or ratio. d. An arithmetic sequence and a geometric sequence are the same thing. 16. Which of the following is a property of a geometric sequence? a. The ratio of any term to its previous term is constant b. The sum of any two consecutive terms is constant c. The product of any two consecutive terms is constant d. The ratio of any term to its next term is constant 17. Which of the following should be inserted between 3 and 192 to make a geometric sequence? a. 16, 32 b. 14, 38 c. 12, 36 d. 12, 48 18. Insert one geometric mean between -4 and -100. a. -15 b. -20 c. -25 d. -50 19. What is the common ratio of this sequence 5, 25, 125,...? a. 4 b. 5 c. 2 d. 6 20. What is the 5th term of the geometric sequence -2, -8, -32, -128,...? a. -2048 b. -256 c. -512 d. -384 21. Solving for the n term of geometric sequence, given that a1 = 4 and r= 6, what is the value of the th 4th term? a. 144 b. 124 c. 864 d. 764 22. In 2018, James entered a job with an annual salary of Php 160,000. If he receives an increase of Php 5,000 every two years, how much will his salary be in 2030? a. Php 175,000 b. Php 180,000 c. Php 190,000 d. Php 185,000 23. Sarah is studying for her math exam and wants to practice solving geometric sequences. She starts with the number 3 and multiplies it by 2 repeatedly to form the sequence. What is the 6th term in the sequence? a. 96 b. 30 c. 192 d. 94 24. A movie theater has 12 rows. There are 16 seats in the first row, 18 seats in the second row, 20 seats in the third row, and so on. What is the total number of seats in the theater? a. 270 b. 324 c. 378 d. 432 25. There are 1,000 bacteria at the end of the first day. If the bacteria double in number every day, how many bacteria will there be after 15 days? a. 16,384,000 b. 163,840 c. 1,638,400 d. 16,384 26. Is this division problem worked correctly? a. This is correct! b. This is incorrect, and the error occurs on the 4th line! c. This is incorrect, and error occurs on the 2nd line! d. This is incorrect, and the error occurs on the 3rd line! 27. Which term must be inserted in the dividend before you begin long division? (𝟐𝒙𝟑 + 𝟓𝒙𝟐 + 𝟒) ÷ (𝒙 + 𝟑) a. 0𝑥 4 c. 0𝑥 3 b. 0𝑥 2 d. 0𝑥 28. Identify the missing term to complete the solution. a. -7 b. -57 c. 7 d. 57 29. Identify the missing term to complete the solution. a. 28 b. 48 c. 38 d. 58 30. What should be the order of the polynomial coefficients if: (𝟑𝒙 − 𝟒𝒙𝟑 + 𝟔𝒙𝟒 + 𝟏) ÷ (𝒙 + 𝟑) a. 3 0 -4 6 1 b. 6 -4 0 3 1 c. 6 -4 3 1 0 d. -6 4 0 -3 -1 31. For synthetic division, what would be the number in the left-hand box? (𝑥 3 + 12𝑥 2 + 20𝑥 − 96) ÷ (𝑥 − 2) a. 0 b. 2 c. 1 d. 3 32. What is the remainder R when the polynomial p(x) is divided by (x-5)? 𝒑(𝒙) = 𝒙𝟑 − 𝟓𝒙𝟐 + 𝟐𝒙 − 𝟏𝟎 a. 0 b. -2x – 10 c. 2x – 10 d. 2x + 10 33. Is (𝑥 − 2) a factor of 𝑓(𝑥) = 𝑥 3 − 8𝑥 2 + 14𝑥 − 4? a. Yes, (x-2) is a factor. There is a remainder. c. Yes, (x-2) is a factor. The remainder is zero. b. No, (x-2) is not a factor. The remainder is d. No, (x-2) is not a factor. There is a remainder. zero. 34. Which binomial is a factor of 𝑓(𝑥) = 𝑥 3 − 6𝑥 2 + 3𝑥 + 10? a. x + 1 b. x + 2 c. x + 5 d. x + 10 35. Classify by number of terms: 4𝑟 6 − 3𝑟 2 − 8𝑟 4 a. Monomial b. Binomial c. Trinomial d. Polynomial 36. What is the GCF of 18x and 15x3. a. 3x2 b. 3x3 c. 3x d. 5x 37. Factor the polynomial: 𝒙 − 𝟒𝒙 − 𝟑𝟐 𝟐 a. (𝑥 − 8)(𝑥 + 4) b. (𝑥 − 4)(𝑥 − 32) c. (𝑥 + 3)(𝑥 − 4) d. (𝑥 + 2)(𝑥 + 5) 38. Is this a perfect square trinomial? 𝒙 − 𝟔𝒙 + 𝟗 𝟐 a. yes; (x – 3)2 c. no; (x2) & 9 are not perfect squares b. yes; (x + 3)2 d. no; the two terms of (2*a*b) does not equal 6. 39. Factor completely: 10𝑥 + 15𝑥 − 5 2 a. 25(10𝑥 3 + 45𝑥 − 15) b. 5(2𝑥 3 + 3𝑥 2 − 𝑥) c. 𝑥(10𝑥 3 + 15𝑥 − 5) d. 5 (2𝑥 2 + 3𝑥 − 1) 40. What is the greatest common factor of 48x2and 32x3? a. 8x2 b. 16x2 c. 16x d. 96x3 “HONESTY IS THE BEST POLICY”  SOUTHVILLE 8C NATIONAL HIGH SCHOOL FIRST PERIODICAL TEST IN MATHEMATICS 10 S.Y: 2024- 2025 KEY ANSWERS: 1. A 21. C 2. A 22. C 3. A 23. A 4. B 24. B 5. D 25. A 6. B 26. B 7. C 27. D 8. B 28. C 9. B 29. B 10. D 30. B 11. C 31. B 12. A 32. A 13. B 33. C 14. B 34. A 15. A 35. C 16. A 36. C 17. D 37. A 18. B 38. A 19. B 39. D 20. C 40. B Prepared By: Checked By: Noted By: ANNA MARIE F. BUNDA GREGORIA M. CAMACHO CAREN S. CATUIRAN Math Teacher Department Head Principal I SOUTHVILLE 8C NATIONAL HIGH SCHOOL FIRST PERIODICAL TEST IN MATHEMATICS 9 S.Y: 2024- 2025 TABLE OF SPECIFICATION