Republic of the Philippines
Department of Education
Region VII, Central Visayas
BITLANG INTEGRATED SCHOOL
FIRST PERIODIC TEST IN
GRADE 10 MATHEMATICS
Name: _______________________________ Gr. & Section:____________ Score:_______
Direction: Encirle the letter of the correct answer.
1. It is a sequence where each term after the first is obtained by adding the same constant.
A. arithmetic sequence
C. harmonic sequence
B. Fibonacci sequence
D. geometric sequence
2. The set of numbers 1, 1, 2, 3, 5, 8, 13, 21, …. represents a ______________.
A. arithmetic sequence
C. harmonic sequence
B. Fibonacci sequence
D. geometric sequence
3. The sequence of all odd numbers may be considered a ______________.
A. arithmetic sequence
C. harmonic sequence
B. Fibonacci sequence
D. geometric sequence
4. It is a sequence of real numbers formed by taking the reciprocals of an arithmetic
sequence.
A. arithmetic sequence
C. harmonic sequence
B. Fibonacci sequence
D. geometric sequence
5. Which statements are TRUE about arithmetic and geometric sequences?
A. arithmetic sequence : adding a common ratio
geometric sequence : multiplying a common ratio
B. arithmetic sequence : multiplying a common difference
geometric sequence : adding a common difference
C. arithmetic sequence : adding a common difference
geometric sequence : multiplying a common ratio
D. arithmetic sequence : multiplying a common ratio
geometric sequence : adding a common difference
6. The sequence, 1, 0.1, 0.01, 0.001, … , is an example of a/an ____________.
A. arithmetic sequence
C. geometric sequence
B. Fibonacci sequence
D. harmonic sequence
7. Which of the following is an example of an arithmetic sequence?
A. -3, -1, 1, 2, 4,…
C. 15, 11, 7, 3, -1,…
B. 3, 5, 8, 12, 17,…
D. 4, 2, 5, 1, 6,…
8. Of the formulas below, which describes the general term of a geometric sequence?
A. a n=4 (5n−1 )
B. a n=4 +5 n C. a n=4 (n5 )
D. a n=4−5 n−1
9. What is the formula for the general term of an arithmetic sequence?
A. a n=( d−1)( n)
C. a n=n+ d(a1−1)
B. a n=a1 +d ( n−1 )
D. a n=n+(d−1)
10. Which of the following is/are in geometric sequence?
I.
2, 4, 8, 16, 32,..
II.
4, 2, 0, -2, …, …
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III.
A. I and II
3, -6, 12, -24, …
B. I and III
11. What type of sequence is 72, 36, 18, 9,
A. finite arithmetic sequence
B. finite geometric sequence
C. II and III
D. I, II and III
9
?
2
C. infinite arithmetic sequence
D. infinite geometric sequence
12. Which of the following are correct examples of finite and infinite geometric sequences?
1
1
A. finite: 8 , 4 ,2 , 1 , , …
C. finite: 8 , 4 ,2 , 1 ,
2
2
1
1
Infinite: 8 , 4 ,2 , 1 ,
infinite: 8 , 4 ,2 , 1 , , …
2
2
,3
,5
,
7
,
9
,
…
1
,3
,5
,
7
,
9
B. finite:1
D. finite:
Infinite: 1 ,3 ,5 , 7 , 9
infinite: 1 ,3 ,5 , 7 , 9 , …
13. To get the next terms in the geometric sequence, 1, 2, 4, 8, …, we ______________.
A. add a constant ratio
C. multiply a common ratio
B. add a common difference
D. multiply a constant difference
14. What is the next term in the Fibonacci sequence, 0, 1, 1, 2, 3, 5, 8, ____ ?
A. 10
B. 11
C. 12
D. 13
15. In the sequence, 5, 3, 1, -1, …, we add -2 to get the next terms. -2 is the _____________.
A. common ratio
C. constant ratio
B. common difference
D. constant difference
16. What is the common difference in the sequence -40, -22, -4, 14, …?
A. -18
B. -12
C. 12
D. 18
17. Complete this arithmetic sequence: 29, 21, ____, ____, -3, -11
A. 16, 8
B. 13, 8
C. 16, 5
D. 13, 5
18. Given 6, 12, 24, 48, 96, how do we call the numbers between 6 and 96?
A. arithmetic mean
C. harmonic mean
B. Fibonacci mean
D. geometric mean
19. The following are examples of polynomials, EXCEPT.
A. 5x4 – 6x + 9x2
C. 2x3 – 7x2 + √ x + 8
B. 6 + x – 4x2 + x3
D. 7 + 2x – 8x2
20. Which of the following is a polynomial expression to the 4 th degree?
4
−4 w 3+ w2 + 4
A. 4 m 2+ 4 m−8
C.
w
B. 4 p 4− √3 8 p3 +1
D. 4 z 4−8 z−3 + z 2−4 z 4 +4
21. How many terms does the polynomial, 3 a6 + 4 a 4−a2−6 a+5 , have?
A. 6
B. 5
C. 4
D. 3
22. Which expression is a seventh degree polynomial in four terms?
A. 1 4 a7−4 a 4+ 7 a
C. −4 a4 −7 a7 −7 a5
4
7
B. a −4 a + 4 a
D. 4 a5 +14 a 2−4 a7 +7
23. The leading coefficient in this polynomial expression, 1 28 x +2 x 5−40 x 3 , is ____.
A. 128 x
B. 2 x5
C. 128
D. 2
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24. The leading term in this polynomial expression, 1 28 x +2 x 5−40 x 3 , is ____.
A. 128 x
B. 2 x5
C. 128
D. 2
25. The process of dividing a polynomial by a linear factor in
the way shown on the right is called ___________.
A. FOIL method
C. squaring
B. long division
D. synthetic division
26. This set-up,
, is the same as ______________.
A. ( 4 x 4 + x 3+ 2 x 2 +3)÷(x +3)
B. ( 4 x 4−x 3 +2 x2 +3) ÷(x−3)
C. ( 4 x 5+ x 3 +2 x2 +3) ÷( x−3)
D. ( 4 x 5−x 3+ 2 x 2+ 3)÷( x +3)
27. Which of the following will give the same quotient as (3 x 4 – 6 x 2 – 30 x – 20) ÷(x – 3) ?
A.
B.
3
3
-6 -30 -20
C.
3
3
0
-6 -30 -20
-3
3
-6 -30 -20
D
.
-3
-3
3
-6 -30 -20
28. Which of the following is a polynomial equation in standard form?
A. 4 x3 – 2 x 2 – x+ 8=0
C. x 4 +3 x 3 – 9 x2 +12 x=6
B. ( x−2)(x +1)(x +3)=0
D. ( x – 2)2 ( x – 1)=9
29. How many real roots does the equation, x 3−3 x 2−10 x+24=0 , have?
A. one
B. two
C. three
D. four
30. Which polynomial equation has four real roots?
A. 36−13 x 2 + x 4 =0
C. −9 x−27+ x3 +3 x 2=0
B. x 4 −20 x −2 +64=0
D. x 3+ 2 x 2−16 x−32=0
31. Identify the general term of this sequence: 5, 8, 11, 14,… .
A. a n=2 n+3 B. a n=2 n−3 C. a n=3 n+2
D. a n=3 n−2
32. If the general term of a sequence is
A. -2
B.
1
3
n−1
, find the 2nd term.
n+1
1
C.
2
D. 3
33. In the arithmetic sequence, 7, 10, 13, 16, 19, … , the number 46 is the ______ term.
A. 13th
B. 14th
C. 15th
D. 16th
34. If 3 x−1 is the arithmetic mean between x +1 and 2 x+3, what is the value of x ?
2
A. 5
B. 3
C. 2
D.
3
35. Given the arithmetic sequence 3, 6, 9, 12, …, how many terms are there in the sequence if
the last term is 153 ?
A. 48
B. 50
C. 51
D. 53
36. The two geometric means between -2 and 54 are ______________.
A. −2 √ 27 , 4
B. 6 ,−18
C. 6 , 18
D. 2, 4 √27
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37. What is the 10th term of a geometric sequence if a 1=−8 and r =
A.
−1
128
B.
−1
64
C.
−1
32
38. Complete this sequence: 2, 4, ___, 16, 32
A. 6
B. 8
C. 10
39. Find n for the sequence for which a n=
A. 3
B. 4
1
?
2
D.
−1
16
D. 12
1
1
, a 1=1 and r = .
16
2
C. 5
D. 6
40. Find the sum of the 6 terms of the finite geometric sequence, 96, -48, 24, -12, …
A. -126
B. -63
C. 63
D. 126
2
2
2
,3, ,6,
, 9 , … , what is the 8th term?
3
9
15
2
2
A. 15
B. 12
C.
D.
15
12
2
42. What are the factors of x + 6 x−72 ?
A. ( x−72)( x+ 6)
C. ( x−10)( x +9)
B. ( x−6 )( x +12 )
D. ( x−4 ) ( x+18 )
41. Given the harmonic sequence,
43. If x−3 is a factor of x 3+ 2 x 2 – 9 x−18 , what are the other factors?
A. ( x +2) and ( x−3)
C. ( x +2) and ( x +3)
B. ( x−2) and ( x +3)
D. ( x−1) and ( x +6)
44. What will be the remainder in the operation on the right?
A. -556
B. -59
C. 56
D. 569
45. What are the real roots of the equation x 3+ 5 x 2−4 x−20=0 ?
A. { -5, -2, 2 }
B. { -5, 2, 5 }
C. { -5, -2, 5 }
D. { -2, 2, 5 }
46. Which of the following is NOT a root of the polynomial equation below?
x 3+ 5 x 2 – 9 x – 45=0
A. -5
B. -3
C. 3
D. 5
47. What is the sum of the terms of an arithmetic sequence from a 1=9 to a 9=81?
A. 360
B. 405
C. 450
D. 630
48. Chairs for an orchestra are positioned in a curved form with the conductor at the center.
The front row has 16 chairs and each successive row has 4 more chairs. How many chairs
are in the 10th row?
A. 20
B. 52
C. 56
D. 64
49. Karla’s grandparents decided to pay for her high school education. They gave her ₱100.00
on her first birthday and doubled the amount for each following year. How much will Karla
receive on her 12th birthday?
A. ₱ 12 000.00
B. ₱ 46 000.00
C. ₱ 204 800.00 D. ₱ 4 096 000.00
50. The area of a square is 4 x 4−20 x 2+ 25 sq. units. What is the square’s perimeter?
A. 4 x2 −5
B. 4 x2 +20
C. 8 x 2+ 5
D. 8 x 2−20
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ANSWER KEY- MATH 10
1. A
2. B
3. A
4. C
5. C
6. C
7. C
8. A
9. B
10. B
11. B
12. C
13. C
14. D
15. B
16. D
17. D
18. D
19. C
20. B
21. B
22. D
23. D
24. B
25. D
26. D
27. C
28. A
29. C
30. A
31. C
32. B
33. B
34. C
35. C
36. B
37. B
38. B
39. C
40. C
41. B
42. B
43. C
44. C
45. A
46. D
47. B
48. B
49. C
50. D
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