Mathematics 10 Summative Test, Exams of Mathematics

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2023/2024

Uploaded on 09/19/2024

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September Quiz 2024
Math 10 Quarter 1
Name:
Grade and Section:
I. MULTIPLE CHOICE. Answer each of the following multiple choice. Write the
letter of the correct answer
1. These are number, shapes or the objects that are arrange accordingly to the rule.
a. Sequence b. Pattern c. Arithmetic d. Finite
2. It is the means of an order in which one thing follow another succession in an ordered
list. a. Sequence b. Pattern c. Arithmetic d. Finite
3. It is a type of sequence wherein each term after the first term is determined in adding a
constant. a. Harmonic b. Pattern c. Arithmetic d. Geometric
4. It contains limited number of terms.
a. Geometric b. Infinite c. Arithmetic d. Finite
5. The value in each successive number in an Arithmetic Sequence.
a. Common ratio b. Common difference c. nth term d. Finite
6. It contains countless number of terms.
a. Common ratio b. nth term c. Infinite d. Finite
7. What is the formula for Geometric Sequence?
a.
an=a1rn1
b.
an=a1+
(
n1
)
d
c.
an=1
a1+
(
n1
)
d
d.
an=a1dn1
8. It is where the last term and the first term are given but the terms between them aren’t.
a. Median b. Mode c. Mean d. Ratio
9. Type of sequence where the form is the reciprocal of Arithmetic Sequence.
a. Harmonic b. Fibonacci c. Arithmetic d. Geometric
10. It is a type of sequence where you add the 2 proceeding numbers to get the next term.
a. Harmonic b. Fibonacci c. Arithmetic d. Geometric
11. It is a type of sequence where each term after the first term is obtained by multiplying non-
zero constant. a. Harmonic b. Fibonacci c. Arithmetic d. Geometric
12. What is the formula used in Sum of Arithmetic Sequence when last term is given?
a.
Sn=n
2(a1+an)
b
. Sn=n
2(a1+a2)
c.
Sn=2(a1+an)
d.
13. What is the formula used in finding sum of infinite geometric sequence.
a.
Sn=a1
(
1rn
)
1r
b.
Sn=a1
(
1rn
)
11
c.
S=a1
1r
d.
an=a1rn1
14. What is the formula used in finding sum of finite geometric sequence.
a.
Sn=a1
(
1rn
)
1r
b.
Sn=a1
(
1rn
)
11
c.
S=a1
1r
d.
an=a1rn1
II. Find the missing terms, means, general term, common difference/ratio, and sum of
sequences.
15. Given 6, 13, 20, 27,… Find the general term.
a.
an=7+
(
n1
)
6
b.
an=6(7)n1
c.
an=6+
(
n1
)
7
d.
an=7(6)n1
16. Given 3, 7, 11, 15,… Find the general term.
a.
an=4+
(
n1
)
3
b.
an=3+
(
n1
)
4
c.
an=4(3)n1
d.
an=3(4)n1
17. Given 2, 8, 32, 128,… Find the general term.
a.
an=2+
(
n1
)
8
b.
an=8+
(
n1
)
2
c.
an=8(2)n1
d.
an=2(8)n1
18. Given
a1=3a3=243
Find the missing term.
a. 27 b. 9 c. 81 d. 63
19. Given 60 and 15 Find 2 Arithmetic Means.
a. 45, 30 b. 41, 23 c. 30, 45 d. 35, 45
20. Given, 2, 2, 4, 6, 10 Find
a9
.
a. 16 b. 68 c. 58 d. 26
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September Quiz 2024 Math 10 Quarter 1 Name: Grade and Section: I. MULTIPLE CHOICE. Answer each of the following multiple choice. Write the letter of the correct answer

  1. These are number, shapes or the objects that are arrange accordingly to the rule. a. Sequence b. Pattern c. Arithmetic d. Finite
  2. It is the means of an order in which one thing follow another succession in an ordered list. a. Sequence b. Pattern c. Arithmetic d. Finite
  3. It is a type of sequence wherein each term after the first term is determined in adding a constant. a. Harmonic b. Pattern c. Arithmetic d. Geometric
  4. It contains limited number of terms. a. Geometric b. Infinite c. Arithmetic d. Finite
  5. The value in each successive number in an Arithmetic Sequence. a. Common ratio b. Common difference c. nth term d. Finite
  6. It contains countless number of terms. a. Common ratio b. nth term c. Infinite d. Finite
  7. What is the formula for Geometric Sequence? a. an = a 1 rn −^1 b. an = a 1 +( n − 1 ) d c. an =^

a 1 +( n − 1 ) d d. (^) an = a 1 dn −^1

  1. It is where the last term and the first term are given but the terms between them aren’t. a. Median b. Mode c. Mean d. Ratio
  2. Type of sequence where the form is the reciprocal of Arithmetic Sequence. a. Harmonic b. Fibonacci c. Arithmetic d. Geometric
  3. It is a type of sequence where you add the 2 proceeding numbers to get the next term. a. Harmonic b. Fibonacci c. Arithmetic d. Geometric
  4. It is a type of sequence where each term after the first term is obtained by multiplying non- zero constant. a. Harmonic b. Fibonacci c. Arithmetic d. Geometric
  5. What is the formula used in Sum of Arithmetic Sequence when last term is given? a. Sn =^ n 2 ( a 1 + an ) (^) b_. Sn_ = n 2 ( a 1 + a 2 ) (^) c. Sn = 2 ( a 1 + an ) (^) d. Sn = 2 n ( a 1 + an )
  6. What is the formula used in finding sum of infinite geometric sequence. a. (^) Sn =

a 1 (^1 − r

n )

1 − r b. (^) Sn =

a 1 (^1 − r

n )

c. S = a 1 1 − r d. an = a 1 r n − 1

  1. What is the formula used in finding sum of finite geometric sequence. a. (^) Sn =

a 1 (^1 − r

n )

1 − r b. (^) Sn =

a 1 (^1 − r

n )

c. S = a 1 1 − r d. an = a 1 r n − 1 II. Find the missing terms, means, general term, common difference/ratio, and sum of sequences.

  1. Given 6, 13, 20, 27,… Find the general term. a. an = 7 +( n − 1 ) 6 b. (^) an = 6 ( 7 ) n −^1 c. an = 6 +( n − 1 ) 7 d. (^) an = 7 ( 6 ) n −^1
  2. Given 3, 7, 11, 15,… Find the general term. a. an =^4 +(^ n −^1 )^3 b. an =^3 +(^ n −^1 )^4 c. an = 4 ( 3 ) n − 1 d. an = 3 ( 4 ) n − 1
  3. Given 2, 8, 32, 128,… Find the general term. a. an = 2 +( n − 1 ) 8 b. an = 8 +( n − 1 ) 2 c. (^) an = 8 ( 2 ) n −^1 d. (^) an = 2 ( 8 ) n −^1
  4. Given a 1 =^3 ∧ a 3 =^243 Find the missing term. a. 27 b. 9 c. 81 d. 63
  5. Given 60 and 15 Find 2 Arithmetic Means. a. 45, 30 b. 41, 23 c. 30, 45 d. 35, 45
  6. Given, 2, 2, 4, 6, 10 Find a 9. a. 16 b. 68 c. 58 d. 26
  1. Given,

,… Find a 20. a.

b.

c.60 d.

  1. Given d =^4 ,^ a 1 =^6 Find the sum of the first 12 terms ( a 12 ¿. a. 316 b. 336 c. 326 d. 426
  2. If a 5 =^49 , and d = 6 Find a 1 ∧ a 9. a. 25, 73 b. 27, 81 c. 25, 83 d. none of the above
  3. If d =^3 ,^ a 12 =^63 , Find a 1 ,a 21. a. 33, 99 b. 30, 80 c. 30, 90 d. none of the above
  4. If r^ =^5 ,^ a 1 =^5 , Find a 3 , ∧¿ a 5 ¿. a. 125, 3125 b. 615, 3125 c. 125, 615 d. 25, 3125
  5. If r^ =^4 ,a 1 =¿^ 3 Find the sum of the first 6 terms. a. S 6 =¿ 4085 b. S 6 =¿ 4095 c. S 6 =¿-12,285 d. S 6 =¿-
  6. Insert 3 Geometric means between 5 and 3,125. a. 25, 125, 625 b. 25, 100, 500, c. 20, 120, 665 d. 55, 325, 1,
  7. Insert 2 Geometric means between 4 and 1,372. a. 27, 81 b. 28, 252 c. 28, 196 d. 40, 164
  8. Insert geometric mean between 69 and 1104. a. 299, b. 286 c. 276 d. 302
  9. Insert 3 geometric means between 1 and 81. a. 3, 9, 27 b. 4, 16, 64 c. 9, 27, 54 d. 6, 18, 48 III. Solve The Following Given.
  10. Given^ a 1 =^5 ∧ d^ =^3 solve^ for^ a 27 ∧ identify^ what^ type^ of^ sequence^ is.
  11. Given^ a 4 =^8 ∧ r =^2 solve^ for^ a 1 ∧ identify^ what^ typeof^ sequenceis.
  12. Given^ a 7 =^79 ∧ a 2 =^14 solve^ for^ nthtermcommon^ difference^.
  13. Given^ a 3 =^12 ∧ a 5 =^48 solve^ for^ nth^ termcommon^ ratio^.

35. Given a 1 = 4 ∧ a 5 = 324 solve for the ∑ of geometric ∧ common difference.

IV. True or False

  1. Common Ratio is the value in each successive number in arithmetic sequence.
  2. Arithmetic sequence is the reciprocal of Harmonic sequence.
  3. In getting the geometric mean/s we need to find the common Ratio first.
  4. Given a 1 =^4 ∧ d^ =^3 ,is^ a 13 =^40 with^ thenth^ term^ formula^ an =^4 +(^ n −^1 )^3_?_
  5. In getting the Sum of Geometric sequence we only need 1 formula.