Grade 10 Summative Test Q1
Grade 10 Summative Test Q1
Grade 10 Summative Test Q1
Department of Education
Region XI
Division of Davao City
Davao City
DIRECTIONS: SHADE THE CIRCLE that corresponds to the letter of the correct answer on a separate
answer sheet.
1. 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
2. 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, -105
3. What number is missing in the pattern: 20, 24, 28, , 36?
a. 24 b. 26 c. 31 d. 32
4. Which of the following is the 30th term of the arithmetic sequence: 4, 2, 0, -2, …?
a. -54 b. -64 c. -74 d. -74
nd
5. What is the 32 term of the arithmetic sequence: -33, -13, 7, 27, …?
a. 188 b. 286 c. 350 d. 587
6. Which term of the arithmetic sequence 12, 17,22, 27, 32, … is 57?
a. 10th term b. 11th term c. 13th term d. 15th 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.
11. 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
12. What do you call the constant ratio between two consecutive terms?
a. sequence b. common ratio c. common difference d. remainder
13. Which of the following is the next term in the geometric sequence 5, -10, 20, ?
a. -40 b. 40 c. -30 d. 30
16. Which of the following is true about the given sequences below?
X Y
2, 4, 6, 8, … 2, 4, 8, 16, …
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.
18. What could be the sum of the first 5 terms in the sequence -5, 5, -5, …?
a. 0 b. 1 c. -5 d. 5
22. What is the common ratio of the given geometric sequence: 4, 12, 36, 108, 111…?
a. 3 b. 6 c. 7 d. 8
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 10th row.
25. Which of the following formula will help you find the number of seats in the last row?
a. an = a1r n – 1 b. an = a1 + r n – 1 c. an = a1 + (n – 1) d d. an = a1 – (n + 1) d
26. How many seats are there in the last row?
a. 40 b. 54 c. 60 d. 72
Cardo saved ₱5 on the first day and doubled his savings each day, thereafter. How much will he
save on the 9th day?
𝑏. 𝑃(−2) d. 𝑃 (5 )
4
2 2 -3 2 -1 -75
4 2 8 14
2 1 4 7 -61
61
𝑎. 2𝑥4 − 3𝑥3 + 2𝑥2 − 𝑥 − 75 c. 2𝑥3 + 𝑥2 + 4𝑥 + 7 −
𝑥−2
𝑏. 2𝑥4 + 𝑥3 + 4𝑥2 + 7𝑥 − 61 d. 2𝑥3 + 𝑥2 + 4𝑥 + 7 − 61
𝑥+2
37. What is the leading coefficient of the polynomial, 5x9 + 4x8 + 4x5 + x3 + x?
a. 3 b. 5 c. 8 d. 9
38. Which of the polynomials is in degree 3?
a. x2 - 3x + 13 c. x3 + 4x2 – 27x + 40
b. 9x2 – 31x + 40 d. x3 - 4x
40. One of the roots of the polynomial equation x3 + 5x2 - 8x - 12 = 0 is 2, find the other roots.
a. -2 , 3 b. -6, -1 c. 6, -1 d. 2, -3