Republic of the Philippines

Department of Education
Region VIII (Eastern Visayas)
Division of Leyte
BURACAN NATIONAL HIGH SCHOOL
Buracan, La Paz, Leyte

Name: __________________________________ Year & Section: ______________________

FIRST QUARTER SUMMATIVE TEST IN MATHEMATICS 10

Direction: Read the questions carefully and write the letter of your answer on a separate sheet of paper.
_____1. What is the next term in the pattern 2, 4, 8, 16, …?
A. 20 B. 24 C. 32 D. 36
_____2. Which of the following patterns is formed by adding the same number repeatedly?
A. Arithmetic pattern C. Fibonacci sequence
B. Geometric pattern D. Random sequence
_____3. Fill in the missing term: 3, 6, 12, __, 48.
A. 18 B. 20 C. 24 D. 36
_____4. The sequence 1, 1, 2, 3, 5, 8, … is an example of:
A. Arithmetic B. Geometric C. Fibonacci D. Harmonic
_____5. Which is an arithmetic sequence?
A. 5, 10, 20, 40 B. 2, 5, 8, 11 C. 1, 2, 4, 8 D. 3, 9, 27, 81
_____6. What is the common difference in the sequence 7, 10, 13, 16?
A. 2 B. 3 C. 4 D. 5
____7. The sequence -2, 1, 4, 7 is:
A. Arithmetic with d = 2 C. Geometric with r = 2
B. Arithmetic with d = 3 D. Geometric with r = 3
_____8. Which term in the sequence 4, 8, 12, 16, … is 40?
A. 8th B. 9th C. 10th D. 12th
_____9. Find the 12th term of the sequence 5, 8, 11, …
A. 38 B. 39 C. 40 D. 41
_____10. What is the arithmetic mean between 12 and 20?
A. 14 B. 15 C. 16 D. 18
_____11.Find the sum of the first 10 terms of 2, 4, 6, …
A. 100 B. 110 C. 120 D. 130
_____12. In an arithmetic sequence, a₁ = 7 and aₙ = 31, d = 3. Find n.
A. 6 B. 7 C. 8 D. 9
_____13. Which formula is used to find the nth term of an arithmetic sequence?
A. aₙ = a₁ × rⁿ⁻¹ C. Sₙ = (n/2)(a₁ + aₙ)
B. aₙ = a₁ + (n – 1)d D. S∞ = a₁ / (1 – r)
_____14. If the first term is 10 and the common difference is 4, what is the 15th term?
A. 64 B. 66 C. 68 D. 70
_____15. Which is a geometric sequence?
A. 3, 6, 9, 12 B. 2, 4, 8, 16 C. 5, 10, 15, 20 D. 1, 2, 4, 7
_____16. What is the common ratio in 5, 15, 45, 135?
A. 2 B. 3 C. 4 D. 5
_____17. Find the next term in 1, 2, 4, 8, …
A. 12 B. 14 C. 16 D. 18
_____18. Which of the following is NOT a geometric sequence?
A. 10, 5, 2.5, 1.25 C. 2, 4, 6, 8
B. 1, 3, 9, 27 D. 4, 8, 16, 32
_____19. Which statement is true?
A. Arithmetic sequences have constant ratio
B. Geometric sequences have constant difference
C. Arithmetic sequences have constant difference
D. Both have constant difference
_____20. If a sequence’s terms are multiplied by the same number to get the next term, it is:
A. Arithmetic B. Geometric C. Harmonic D. Fibonacci
_____21. The sequence 3, 6, 12, 24 is:
A. Arithmetic with d = 3 C. Geometric with r = 2
B. Arithmetic with d = 6 D. Geometric with r = 3
_____22. The sequence 5, 8, 11, 14 is:
A. Arithmetic with d = 3 C. Arithmetic with d = 4
B. Geometric with r = 3 D. Geometric with r = 4
_____23. Find the 6th term of 3, 6, 12, …
A. 72 B. 96 C. 192 D. 384
_____24. What is the geometric mean between 9 and 36?
A. 12 B. 15 C. 18 D. 20
_____25. Find S₅ of 2, 4, 8, …
A. 62 B. 64 C. 66 D. 68
_____26. Which formula finds the nth term of a geometric sequence?
A. aₙ = a₁ + (n – 1)d C. Sₙ = (n/2)(a₁ + aₙ)
B. aₙ = a₁ × rⁿ⁻¹ D. S∞ = a₁ / (1 – r)
_____27. The first term is 81 and r = 1/3. Find the 4th term.
A. 3 B. 9 C. 27 D. 81
_____28. The first term is 5 and r = 1/2. Find S∞.
A. 5 B. 10 C. 15 D. 20
_____29. Divide: (x² + 5x + 6) ÷ (x + 2)
A. x + 3 B. x + 2 C. x + 4 D. x – 3
_____30. Which method is faster for dividing polynomials when the divisor is linear?
A. Long division B. Synthetic division C. Factoring D. Substitution
_____31. Using synthetic division, divide x³ – 4x² + 5x – 2 by x – 1. What is the remainder?
A. 0 B. 1 C. 2 D. –2
_____32. Divide: (2x² – 3x – 5) ÷ (x – 2)
A. 2x – 1 R –7 B. 2x + 1 R –7 C. 2x – 1 R 7 D. 2x + 1 R 7
_____33. In synthetic division, what value is used in the divisor x – 3?
A. 3 B. –3 C. 0 D. 1
_____34. Divide: (x³ + 2x² – 5x – 6) ÷ (x + 3)
A. x² – x – 2 B. x² – x – 3 C. x² – x – 4 D. x² – x – 5
_____35. Which is true about polynomial division?
A. Degree increases after division
B. Degree decreases after division
C. Degree stays the same
D. Degree doubles
_____36. If the remainder is zero, the divisor is a:
A. Factor B. Multiple C. Dividend D. Quotient
_____37. Divide: (x² – 4) ÷ (x – 2)
A. x + 2 B. x – 2 C. x² – 2 D. x² + 2
_____38. The quotient when (x³ – 8) is divided by (x – 2) is:
A. x² + 2x + 4 B. x² – 2x + 4 C. x² + 4x + 2 D. x² – 4x + 2
_____39. Which is the remainder when (x² + 3x + 2) is divided by (x + 1)?
A. 0 B. 1 C. 2 D. 3
_____40. Which of the following is NOT a method for dividing polynomials?
A. Long division C. Factoring
B. Synthetic division D. Mental estimation
 FIRST QUARTER SUMMATIVE TEST IN MATHEMATICS 10
ANSWER KEY

1. C
2. A
3. C
4. C
5. B
6. B
7. B
8. C
9. A
10. C
11. B
12. D
13. B
14. D
15. B
16. B
17. C
18. C
19. C
20. B
21. C
22. A
23. B
24. C
25. A
26. B
27. A
28. B
29. A
30. B
31. A
32. bonus
33. A
34. A
35. B
36. A
37. A Prepared by:
38. A
39. A SHARON M. ROSALIA
40. C and D Teacher III

Checked by:

ARNEL C. BALLON
School Head
1. Table of Specifications (TOS)
Time Total Item
Learning Competencies R U Ap An Ev Cr
Spent (hrs) Items Numbers
a) Generates patterns 4 1 1 2 0 0 0 4 1-4
b) Illustrates an arithmetic sequence 4 1 2 1 0 0 0 4 5-8
c) Determines arithmetic means, nth term, and sum of
6 1 1 3 1 0 0 6 9-14
terms of an arithmetic sequence
d) Illustrates a geometric sequence 4 1 2 1 0 0 0 4 15-18
e) Differentiates a geometric sequence from an
4 1 1 1 1 0 0 4 19-22
arithmetic sequence
f) Determines geometric means, nth term, and sum of
6 1 1 3 1 0 0 6 23-28
terms of a finite/infinite geometric sequence
g) Performs division of polynomials using long and
6 1 1 3 2 1 0 8 29-40
synthetic division
Total 34 7 9 14 5 1 0 40 —

Legend: R = Remembering, U = Understanding, Ap = Applying, An = Analyzing, Ev = Evaluating, Cr =