FIRST PERIODICAL EXAMINATION IN MATHEMATICS 10

(1st Periodical Exam in Math 10)

S.Y. 2024-2025
NAME: Date:
Grade & Section:
Score:
Direction: Read and analyze the questions carefully. Encircle the correct answer.
1. A sequence in which each term after the first is obtained by adding a fixed number to the previous term.
A. Arithmetic Sequence
B. Geometric Sequence
C. Fibonacci Sequence
D. Harmonic Sequence
2. Identify the common difference of the sequence: 4,9,14,19,24,...
A. d=4
B. d=5
C. d=6
D. d=7
3. Determine the number of terms in the sequence: -8, -2, 4, 10,...,52
A. n=15
B. n=17
C. n=11
D. n=13
4. Let a1 = -6 and d = 12. Find a15.
A. a15=160
B. a15=161
C. a15=162
D. a15=163
5. A theater has 30 seats in the first row, 32 seats in the second row, incerasing by 2 seats each row for a total of 26 rows. How
many seats are there in the theater?
A. 1,280
B. 1,300
C. 1,430
D. 1,460
6. Write the first five terms of the Arithmetic Sequence given: a1=200, d=20.
A. 200,220,240,260,280
B. 220,240,260,280,300
C. 240,260,280,300,320
D. 260,280,300,320,340
7. A sequence where its first two terms are both 1 and each term is obtained by adding two preceding terms.
A. Arithmetic Sequence
B. Geometric Sequence
C. Fibonacci Sequence
D. Harmonic Sequence
8. What is the 10th number in the Fibonacci sequence?
A. 34
B. 55
C. 8
D. 75
9. What is one way to decide if two numbers follow a Fibonacci sequence?
A. If their sum is the same as their difference
B. If their ratio is approximately the golden ratio
C. If each number is prime
D. If their product is approximately the golden ratio
10. Which of the following is NOT an example of Fibonacci numbers found in nature?
A. Spirals on a sunflower
B. Pinecone spirals
C. The number of petals on a daisy
D. A mountain range
11. A sequence in which each term is obtained by multiplying the preceding term by a constant.
A. Arithmetic Sequence
B. Geometric Sequence
C. Fibonacci Sequence
D. Harmonic Sequence
12. A 4-day rain caused the Pasig River to rise. After the first day, the river rose one inch. Each day the rise in the river tripled. How
much had the river risen after the fourth day?
A. 21 inches
B. 24 inches
C. 27 inches
D. 30 inches
13. Solve for the 8th term of the geometric sequence whose first term is 6 and the common ratio is 2.
A. 325
B. 768
C. 526
D. 812
14. Compute the sum of the first 11 terms of geometric sequence whose first few terms are 3, -6, 12, -24,...
A. 1,926
B. 2,131
C. 2,049
D. 2,284
15. What type of sequence is ⅔, 4/9, 8/27, 16/81,...
A. Arithmetic Sequence
B. Geometric Sequence
C. Fibonacci Sequence
D. Harmonic Sequence
16. It is found by dividing any term that directly precedes it.
A. Common denominator
B. Golden Ratio
C. Common Factor
D. Common Ratio
17. Consider a sequence where first term is 4 and whose common ratio is 3. Find the 5th term.
A. 324
B. 234
C. 423
D. 432
18. A sequence that the reciprocals of the terms form an arithmetic sequence.
A. Arithmetic Sequence
B. Geometric Sequence
C. Fibonacci Sequence
D. Harmonic Sequence
19. Find the 19th term of the harmonic sequence: ½, ⅕, ⅛,...
A. 20
B. 33
C. 45
D. 56
20. Which among the following is the formula of harmonic sequence?
A. an = a1 + (n-1) d
B. an = a1 r n-1
C. sn = a1 (1-rn)/1-r
D. an = 2n/n²+1
21. Find the 6th term of the harmonic sequence: ¼, ⅛, 1/12,...
A. 1/16
B. 1/20
C. 1/24
D. 1/28
22. Which of the following terms below is an example of harmonic sequence?
A. ½ , ⅕ , ⅛ , 1/11,1/14,...
B. ½, ⅛, 1/32,1/128,1/512,...
C. ½, ⅓, ⅕, ⅛, 1/13,...
D. 1 , ½, ¼, ⅛ ⅒,...
23. A function whose domain is a set of consecutive positive integers beginning with 1.
A. Series
B. Sequence
C. Order
D. Domain
24. Look at the pattern then predict the general term: 3, 6, 9, 12, 15,...
A. an= 1n
B. an= 3n
C. an= 6n
D. an= 9n
25. Find the 10th term of the sequence whose general term is given by an= 2n /n²+1
A. 20/21
B. 1,040/101
C. 512/82
D. 18/19
26. Evaluate 6!/2!
A. 450
B. 360
 C. 520
D. 230
27. Use the Pascal's Triangle to expand (2m-3n)⁵
A. 16m⁵ - 120m⁴n + 135m³n² - 540m²n³ + 405mn⁴ - 243n⁵
B. 32m⁵ - 240m⁴n + 135m³n² - 540m²n³ + 405mn⁴ - 243n⁵
C. 32m⁵ - 240m⁴n + 72m³n² - 1,080m²n³ + 405mn⁴ - 243n⁵
D. 32m⁵ - 240m⁴n + 72m³n² - 1,080m²n³ + 810mn⁴ - 243n⁵
28. Find the 4th term of the expansion of (a-x)⁷
A. 35 a⁴x³
B. 27 a⁴x³
C. -35 a⁴x³
D. -27 a⁴x³
29. Use the Pascal's Triangle to write (x+y)⁶ in expanded form.
A. x⁶ + 2x⁵y + x⁴y² +5x³y³ +15x²y⁴ + 6xy⁵ + y⁶
B. x⁶ + 2x⁵y + 5x⁴y² +10x³y³ +15x²y⁴ + 6xy⁵ + y⁶
C. x⁶ + 6x⁵y + 10x⁴y² +15x³y³ +15x²y⁴ + 6xy⁵ + y⁶
D. x⁶ + 6x⁵y + 15x⁴y² +20x³y³ +15x²y⁴ + 6xy⁵ + y⁶
30. Each row starts and ends with 1. Observe further that each number is actually the sum of the pair of numbers above it in the
previous row. This is known as _______________.
A. Bermuda Triangle
B. Pascal's Triangle
C. Research Triangle
D. Rhubarb Triangle

Prepared by:
Kris Ann Tonette B. Dagdag
BSE 2A - MATH