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Republic of the Philippines
Department of Education
Region XI
Division of Davao City
Davao City
FIRST QUARTER ASSESSMENT
GRADE 10 MATHEMATICS
SY 2022-
Name: _____________________________________________ Section: ___________________
Subject Teacher: ______________________________________ Date: _____________________
INSTRUCTION : Shade the circle which corresponds to the letter of your answer in the answer
sheet. If the answer is not found in the choices write the correct answer.
- Which numerical pattern, starting with 5, follows the rule “subtract 2, then multiply 3”?
a. 5, 7, 21, 69 c. 5, 15, 13, 39, 37
b. 5, 2, 4, 1, 2 d.5, 3, 9, 7, 21, 19, 57
- What is the next three terms of the finite sequence: 15, -30, 45, -60, …?
a. -75, 90, -105 c.75, -90, 105
b. 75, 90, 105 d. -75, -90, -
- What number is missing in the pattern: 20, 24, 28, _____, 36?
a. 24 b. 26 c. 31 d. 32
- Which of the following is the 30th term of the arithmetic sequence: 4, 2, 0, -2, …?
a. -54 b. -64 c. -74 d. -
- What is the 32
nd
term of the arithmetic sequence: -33, -13, 7, 27, …?
a. 188 b. 286 c. 350 d. 587
- Which term of the arithmetic sequence 12, 17,22, 27, 32, … is 57?
a. 10
th
term b. 11
th
term c. 13
th
term d. 15
th
term
For items 7 to 8, refer to the given situation:
Celso wants to begin an exercise program to get back in shape. He plans to row 5 minutes on his
morning rowing machine on the first day and increase it by one minute and thirty seconds each day.
- How long will he row on the 18
th
day?
a. 45 minutes c. 1 hour
b. 30 minutes and 30 seconds d. 20 minutes
- On what day will Celso first row for an hour or more?
a. 25
th
day b. 30
th
day c. 40
th
day d. 38
th
day
- What are the arithmetic means in this sequence 24 , ___, ___, ___, ___, -1?
a. 14, 5, -2, 7 c. 12, 10, 34 , -
b. 19, 14, 9, 4 d. 10, -1, -4, 0
- Jhandel borrowed some money from his mother. He agreed to pay 500 pesos at the end of the first
month and 100 pesos more each additional months for 12 months. How much does he pay in total after 12
months?
a. 9600 b. 8,500 c. 5, 000 d. 12, 600
- What type of sequence has a constant ratio between any two consecutive terms?
a. Harmonic sequence c. Arithmetic sequence
b. Fibonacci sequence d. Geometric sequence
- What do you call the constant ratio between two consecutive terms?
a. sequence b. common ratio c. common difference d. remainder
Republic of the Philippines
- Which of the following is the next term in the geometric sequence 5, -10, 20, _____?
a. -40 b. 40 c. -30 d. 30
- Which of the following illustrates a geometric sequence?
a. 1, 4, 16, 64,… b. 1, 4, 9, 16 c. -1, -3, -5, -7 d.1, 2, 4, 10,…
- Given the first 4 terms of the sequence 1,
, ______. What is the 4
th
term?
a.
b.
c.
d.
- Which of the following is true about the given sequences below?
a. X and Y are both arithmetic sequence and geometric sequence because they have
the same first term
b. X is an arithmetic sequence because
d = 2 and Y is a geometric sequence because
r = 2
c. X is a geometric sequence because d = 2 and Y is an arithmetic sequence because r = 2
d. X and Y are neither arithmetic sequence nor geometric sequence.
- In the formula A n
= a 1
r
n-
, r denotes what component?
a. common rating b. Common random c. common rate d. common ratio
- What could be the sum of the first 5 terms in the sequence -5, 5, -5, …?
a. 0 b. 1 c. -5 d. 5
- Which of the following gives the ratio between 8 and 2?
a.
b.
c. 4 d. 16
- What is the next number in the given sequence 3, -6, 12, -24, ____?
a. 48 b. -48 c. 36 d. -
- Which of the following is an example of a geometric sequence?
a. 2, 4, 6, 8, 10 b. 5, 8, 13, 21 c. 7, 9, 11, 13, 15 d. 4, 16, 64, 256
- What is the common ratio of the given geometric sequence: 4, 12, 36, 108, 111…?
a. 3 b. 6 c. 7 d. 8
- Insert one geometric mean between 8 and 32?
a. 28 b. 20 c. 19 d. 16
For items 24 – 26, refer to the given situation below:
The seats in a theatre are arranged such that the first row has 18 seats, the second has 24 seats, the
third has 30 seats, and so on until the 10
th
row.
- What kind of sequence is given in the problem?
a. arithmetic b. Fibonacci c. geometric d. harmonic
- Which of the following formula will help you find the number of seats in the last row?
a. a n
= a 1
r
n – 1
b. a n
= a 1 +
r
n – 1
c. a n
= a 1
= a 1
X Y
a. x
2
− 4 x − 12
b. x
2
− 8 x + 12
c. x
2
d. x
2
− 8 x − 12
- What is the quotient in the given synthetic division below?
a. 2 x
4
− 3 x
3
2
− x − 75
c.
2 x
3
2
x − 2
b. 2 x
4
3
2
d.
2 x
3
2
x + 2
- Which of the following is a polynomial?
i. x
3
2
√
5 x
2
√
3 x
a. i only b. ii only c. i and ii d. i and iii
- What is the leading coefficient of the polynomial, 5x
9
8
5
3
a. 3 b. 5 c. 8 d. 9
- Which of the polynomials is in degree 3?
a. (x + 1) b. (x
2
4
+1) d. (x +1)(x
2
- Write an expression for the area of the rectangle in Figure 1.
a. x
2
3
2
b. 9 x
2
3
- One of the roots of the polynomial equation x
3
2
- 8x - 12 = 0 is 2, find the other roots.
a. -2 , 3 b. -6, -1 c. 6, -1 d. 2, -
Figure 1
Grade 10 Answer Key
1. D
2. C
3. D
4. A
5. D
6. A
7. B
8. D
9. B
10. D
11. D
12. B
13. A
14. A
15. A
16. B
17. D
18. C
19. A
20. A
21. D
22. A
23. D
24. A
25. C
