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FIRST PERIODICAL TEST IN MATH G10 2022 New

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Republic of the Philippines

Department of Education
Region IV – A CALABARZON
Division of Batangas
SAN PEDRO NATIONAL HIGH SCHOOL
Sto. Tomas, Batangas

First Quarter Examination in Mathematics 10

Directions: Read the questions carefully. Write the letter of your answer on a whole sheet of paper.
1. It is the list of things usually that are in order.
A. Sequence C. common ratio
B. Common Difference D. nth term
2. What is the first 3 terms of the sequence whose general rule is an = 2n + 1?
A. 2, 4, 6, B. 3, 8, 13 C. 3, 5, 7 D. 6, 9, 12
3. Which of the following is an arithmetic sequence?
A. 1,1,2,3,5 C. 6, 9, 27, 54
B. 8, 24, 72, . . . D. 11, 22, 33, 44, . . .
4. What will you do first to find the next term in the sequence 7, 13, 19, . . .?
A. Find the common ratio C. find the common difference
B. Multiply the first term by the last term D. know the last term
5. What is the common difference of arithmetic sequence 25, 20, 15, . . .?
a. -5 B. 5 C. 0 D. 10
6. If three arithmetic means are inserted between 11 and 39, find the second arithmetic mean.
A. 18 B. 25 C. 32 D. 46
7. What is the sequence where every term after the first is obtained by adding a constant number?
A. Arithmetic B. Geometric C Harmonic d. Fibonacci
8. What do you call the indicated sum of the terms of a sequence?
A. Progression B. Series C. summation D. notation
9. What is the sum of all even integers between 9 and 27?
A. 144 B. 162 C. 170 D. 180
10. What is the 12 term of the sequence 4, 1, -2, -5, . . .?
th

A. -29 B. -26 C. -23 D. -20


11. What is the formula in finding the nth term of an arithmetic sequence?
A. An = a1 + (n + d)d C. An = a1rn -1
B. An = a1 + (n - 1)d D. An = nra-1
12. Which of the following is a geometric sequence?
A. 2, 4, 10 C. 10, 12, 14, 16
B. 3, 9, 27,. . . D. 8, 4, 0, -4
13. What do you call the constant number being multiplied to first term of geometric sequence to
produce the next term?
A. Common ratio C. Common term
B. Last term D. Common difference

14. What is the formula for the sum of the terms finite arithmetic sequence?
n n
A. Sn = [(n – 1)d] C. Sn = [2a1 +(n - 1)d]
2 2
n n
B. Sn = (a1 + an) D. Sn = Sn = [(n + a1)d]
2 2

15. What is the common difference of the sequence with a1 = 10 and a5 = 26?
A. 3 B. 4 C. 5 D. 6
16. What is the formula in finding the nth term of geometric sequence?
A. An = a1 + (n + d)d C. An = a1rn -1
B. An = a1 + (n - 1)d D. An = nra-1
17. What is the 10th term of the sequence 100, 97, 94, . . .?
A. 63 B. 73 C. 83 D. 53
18. Find p so that p + 7, 3p + 9, p + 3, . . .form an arithmetic sequence.
A. -2 B. 2 C. -3 D. 3
19. What is the 7th term of geometric sequence 2, 6, 18, . . . ?
A. 1448 B. 1458 C. 1468 D. 1478
20. What is the sequence where every term after the first is obtained by multiplying a constant
number?
A. Arithmetic B. Geometric C Harmonic d. Fibonacci
21. What are the 2 arithmetic means between 5 and 14?
A. 6 and 10 B. 8 and 11 C. 10 and 12 D. 13 and 14
22. If a1 = 10 and a4 = 640, find the common ratio
A. 2 B. 3 C. 4 D. 5
23. What is the sum of all odd integers between 8 and 26?
A. 153 B. 151 C. 149 D. 148
24. Which of the following is the sum of all the multiples of 3 from 15 to 48?
A. 315 B 360 C. 378 D. 396
25. What is the 7 term of the sequence 3, 6, 12, . . .?
th

A. 162 B. 172 C. 182 D. 192


26. What is the first 3 terms of the sequence whose general rule is a n = 7n – 6?
A. 1, 8, 15 C. 3, 9, 15
B. 6, 12, 18 D. 10, 17, 24
27. A constant term is added to the terms of the arithmetic sequence to produce the next term.
A. Common ratio C. common multiple
B. common factor D. Common difference
28. Find the arithmetic mean between 10 and 24.
A. 15 B. 16 C. 17 D. 18
29. The terms between any two nonconsecutive terms of a geometric sequence are _______.
A. Arithmetic Means C. Harmonic Means
B. Geometric Means D. Arithmetic Ratio
30. Lourence saves 20 pesos a day, 5 days in a week, after selling online. How much will be saved after 30
weeks?
A. 2500 B. 3000 C. 2750 D. 3250
31. In the geometric sequence 6, 30, 150, 750, what is r?
A. 3 B. 4 C. 5 D. 6
32. If an = 3(2)n – 1, what is a4?
A. 12 B. 24 C. 36 D. 48
33. How many terms are there in geometric sequence 15, 30, . . . 15360?
A. 8 B. 9 C. 10 D. 11
34. Find the geometric mean of 10 and 40.
A. 20 B. 30 C. 40 D. 50
35. What are the 3 geometric means between 3 and 768?
A. 12, 48, 192 C. 18, 48, 128
B. 16, 45, 120 D. 16, 45, 125
36. What is the sum of the first 10 terms of the sequence 8, 10, 12, 14, . . .?
A. 140 B. 150 C. 160 D. 170
37. What is the sum of the first 8 terms of the sequence 10, 20, 40, 80, . . .?
A. 3150 B. 4250 C. 7125 D. 2550
38. Which of the following set of numbers DOES NOT describe pattern?
A. 1, 4, 9, 16, 25 C. 2, 4, 8, 16, 20
B. 5, 2, -1, -4, 7 D. 3, -3, 3, -3, 3
For items 39 – 42, use the illustrations on long division that follows: divide (5x 2 + 14x – 24) by (x + 4)

5x – 6

x+4 5x2 + 14x – 24

5x2 + 20x second line

– 6x – 24

– 6x – 24
0

39. What is the remainder?


A. 5x – 6 B. x+4 C. -6 D. 0
40. Which is the divisor?
A. x + 4 B. 5x – 6 C. 5x2 + 14x – 24 D. 0

41. Which is the quotient?


A. x + 4 B. 5x – 6 C. 5x2 + 14x – 24 D. 0
42. What is the process used to obtain the second line?
A. subtracting 5x from (x + 4) C. adding 5x to (x + 4)
B. dividing 5x by (x + 4) D. multiplying 5x by (x + 4)
43. The following are examples of polynomials except.
A. 5x4 – 6x + 9x2 B. 6 + 3x – 4x2 + x3 C. 2x3 – 7x2 + √x + 8 D. 7 + 2x

44. The leading coefficient of the polynomials 5x10 + 4x12 + 4x6 – x is ______
A. 4 B. 10 C. 6 D. 12
45. Which of the following is NOT the real roots of polynomial equation x(x – 5)(x + 5)?
A. 1 B. 5 C. -5 D. 0
46. Given the polynomial equation x14 – 6x3 – 7x10 – 18 = 0, how many real roots we will get from this
equation?
A. 1 B. 10 C. 14 D. 8

47. What is the quotient when ( x 2−14 x +49) is divided by ( x−7 ) ?


A. x+ 7 B. x−7 C. x−49 D. x+ 49
48. A pile of bricks has 61 in the first row, 59 in the second, 57 in the third, and so on, and 1 in the top.
How many bricks are there in the 12th row?
A. 83 B. 41 C. 39 D. 17
49. Twelve days before Valentine’s Day, Maru decided to give Maxine flowers according to the Fibonacci
sequence. On the first day, he sent one res rose, on the second day, two red roses, and so on. How
many roses did Nicole receive during the tenth day?
A. 10 B. 55 C. 89 D. 144
50. The total cost of (3x – 2) units of laptop is (6x2 + 5x – 6) pesos. What expression represents the cost of
one cellphone?
A. 2x + 3 B. 3x + 2 C. 2x – 3 D. 3x – 2

DO YOUR BEST AND GOD BLESS!!!

Prepared by:

Grade – 10 Mathematics Teachers

KEVIN M. DE LOS ANGELES ROSENIO P. DIMAYUGA EVAMARIE N. ENDOZO

JOHANN GRACE F. FAMILARAN BLESSIE R. LOPEZ MAEVELLE A. MACALATAN I

Checked by:

CHARITY D. ALMENIANA ROSIE B. LLANES


Master Teacher I Head Teacher II

Noted by:

EVANGELINE P. LIMBO, PhD


Principal II

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