Republic of the Philippines
Department of Education
Region 02
1st Qaurterly Examination
MATHEMATICS 10
S. Y. 2019-2020
I. Multiple Choices: Answer accordingly. Write your answer on a separate sheet. Use CAPITAL LETTER as your answer. No erasures as much as
possible.
1. What is the 10th number of the sequence 0, 4, 8, 12, 16…?
A. 40 B. 36 C. 32 D. 28
2. In the arithmetic sequence “9, 4, -1, -6, -11”. What is the 8th term of the sequence?.
A. -36 B. -31 C. -26 D. -21
3. What do you call a sequence where each term after the first term is obtained by adding the same constant?
A. Arithmetic B. Fobonacci C. Geometric D. Harmonic
4. What is the sum of all the odd integers between 8 to 26?
A. 153 B. 151 C. 149 D. 148
5. If three aritmetic mean are inserted between 11 and 39, what is the second arithmetic mean?
A. 18 B. 25 C. 32 D. 46
6. Which term of the arithmetic sequence 4, 1, -2, -5, … is -29?
A. 9th term B. 10th term C. 11th term D. 12th term
7. The first term of an arithmetic sequence is 2 while the 18th term is 87? What is the common difference of the sequence?
A. 7 B. 6 C. 5 D. 3
8. What is the nth term of the aritmetic sequence 7, 9, 11, 13, 15, 17, …?
A. 3n + 4 B. 4n + 3 C. n + 2 D. 2n + 5
9. During a free-fall, a skydiver jumps 16 feet, 48 feet, and 80 feet on the first, second and third fall, respectively. If he continues to jump at this rate,
how many feet will he have jumped during the tenth fall?
A. 304 B. 336 C. 314 928 D. 944 784
10. What is the 4 arithmetic means between 5 and 25?
A. 9, 13, 17, 21 B. 9, 11, 15, 17 C. 9, 15, 19, 21 D. 9, 13, 21, 23
11. What is the next term in the geometruc sequence 4, -12, 36?
A. -42 B. -54 C. -72 D. -108
12. What is the next term in the harmonic sequence 1/11, 1/15, 1/19, 1/23, …?
A. 27 B. 25 C. 1/25 D. 1/27
13. what is the 6th term of the geometric sequence 2/25, 2/5, 2, 10, …?
A. 25 B. 250 C. 1250 D. 2500
14. What is the sum of the geometric sequence, where the first term is 3, the last term is 46, 875, and the common ratio is 5?
A. 58 593 B. 58 594 C. 58 595 D. 58 596
15. What is the nth term of the harmonic sequence 1/2, 1/4, 1/6, 1/8, …?
1 1 1 1
A. B. C. D.
n 1 n 1
2
2n 4n 2
16. Twelve days before Valentine’s Day, Martin decide to give Angel flowers according to the fibonacci sequence. On the first day, he sent one red rose,
on the second day, two red roses, and so on. How many roses did angel recieve during the tenth day?
A. 10 B. 55 C. 89 D. 144
17. What is the 3 geometric means between 5 and 3125?
A. 25, 125, 625 B. 25, -125, 625 C. 25, 125, -625 D. -25, 125, -625
18. What do you call a sequence where each term after the first is obtained by multiplying the preceding term by the same constant?
A. Arithmetic B. Fobonacci C. Geometric D. Harmonic
19. Which of the following term used in sequence “a constant added to each term of an arithmetic sequence to obtain the next term of the sequence?
A. Common difference B. Common ratio C. Term D. Sequence
20. What is the sum of the geometric sequence 3, 6, 12, 24, 48, 96, …?
A. 90 B. 91 C. 92 D. 93
II. Problem Solving
Directions: Read and analyze each questions carefully. Answer only of what you know. Each question worth of 3 points (2 points for the solution and 1
point for the answer). note: “Item numbers 21 to 50”
21. A tailor earns (12 y 2 y 35) pesos for working (3 y 5) hours. How much does he earn per hour?
22. If one ream of bond paper costs (3x 4) pesos, how many reams can you buy for (6x 4 7 x3 24x 2 34x 24) pesos?
23. What must be the qoutient when ( x3 6 x 2 2 x 8) is divided by ( x 3) ?
24. What is the remainder when (5x 2 2 x 1) is divided by ( x 2) ?
25. Use the factor theorem to determine whether or not the first polynomial is a factor of the second. Then, What is the remainder if the second
polynomial is divided by the first polynomial of the given x 1; x 2 2 x 5 ?
26. What is the remainder when 2 x3 x 2 2 x 1 is divided by
a. x 3?
b. x 1?
27. What is the roots of the equation ( x 3)( x 2)( x 1)( x 1) 0 ?
28. The diagonal of a rectangle is 8 cm longer than its shorter side. If the area of the rectangle is 60 square m, what is its dimensions?
29. Using/applying synthetic division. What is the factors and roots of a equation x3 10 x 2 32 x 32 0 ?
30. What is the intercepts of y x3 4 x 2 x 6 ?
