Mathematics-10
DIRECTIONS: Read and analyze each item carefully. Then write the letter of the correct answer
1. What is the next term in the geometric sequence 4, -12, 36?
A. -42
B.-54
2. Which set of numbers is an example of harmonic sequence?
A. 2, -1/2, ½, -1/2
3. Which term of the arithmetic sequence 4, 1, -2, -5, ... is -29?
A. 9th term
B., -1, 2, -4
B. 10th term
C.-72
D. -108
C. 1/3, 1/9, 1/27, 1/81
D. 2, 2/3, 2/5, 2/7
D. 12th term
D. 20
D. 396
C. 11th term
4. What is the next term in the Fibonacci sequence 1, 1, 2, 3, 5, 8, ...?
A. 13
B. 16
C. 19
5. Which of the following is the sum of all the multiples of 3 from 15 to 48?
A. 315
B. 360
6. Which of the following is a polynomial?
i. 4x³+9x=5x² + 7
A. i only
C. 378
ii. 2x-3+x+x^3+2x+5
iii.
*2+3x+6
B. ii only
C. i and ii
D. i and iii
7. The following are examples of polynomials, EXCEPT
A. x²-4x+5
B. 4x + 8x + 10x-7 C. 3x4-5x³ +2x-1.
8. Find the remainder when (x + 2x8 + 3x² +...+ 9x) is divided by (x - 1).
A. 45
B.90
B. 9x² + 6x + 1
C. 180
9. Which of the following polynomials is exactly divisible by (3x + 1)?
A. 6x2 + 17x+5
C. 3׳ + 4x²-8x - 3
10. Find the value of k so that (x + 2) is a factor of 3x³ + kx² + 5x-27.
C. 61/4
A. 4
11. What should n be if f(x)=x" defines a polynomial function?
B. 4/61
B. a nonnegative integer
D.x³-y³
D. 360
D. all of the above
D. 61
C. any number
D. any number except 0
C. f(x)=√√7x2x6
D. f(x)=x3+√√3x-5
A. an integer
12. Which of the following is an example of polynomial function?
3 3
A. f(x)=+3x-1 B. f(x) = 2x²²x²
28
13. Your classmate Linus encounter difficulties in showing a sketch of the graph of y = 2x3 + 3x²-4x-6. You know that
the quickest technique is the Leading Coefficient Test. You want to help Linus in his problem. What hint/clue should you
give?
A. The graph falls to the left and rises to the right.
B. The graph rises to both left and right.
B. 1,039,500.00
C. The graph rises to the left and falls to the right.
D. The graph falls to both left and right.
14. A car manufacturer determines that its profit, P, in thousands of pesos, can be modeled by a function p(x) = 0.00125x4
+x-3, where x represents the number of cards sold. What is the profit (in Php) when x = 300?
A. 101.25
15. A demographer predicts that the population, P, of a town t years from now can be modeled by the function P(t) = 61-
St³ + 2001+ 12000. What will the number of population be two (2) years from now?
B. 124,560
C. 3, 000, 000.00
D. 10,125,297.00
and whose sides contain chords of a circle?
C. 1,245,600
D. 12,456,000
of the circle is 5 cm, what is the length of the arc?
C. circumscribed angle
D. intercepted angle
C. 1.86 cm
D. 1.5 cm
A. 12,456
16. What is an angle whose vertex is on a circle
A. central angle
B. inscribed angle
17. An arc of a circle measures 30°. If the radius
A. 2.62 cm
18. The opposite angles of a quadrilateral inscribed in a circle are
A. right
B. 2.3 cm
B. obtuse
C. complementary
D. supplementary
19. Catherine designed a pendant. It is a regular hexagon set in a circle. Suppose the opposite vertices are connected by line
segments and meet at the center of the circle. What is the measure of each angle formed at the center?
A. 2250
B. 45°
20. If an inscribed angle of a circle intercepts a semicircle, then the angle is
A. acute
B. right
C. 60°
C. obtuse
D. 72º
D. straight
21. Which of the following represents the distance between two points (x1,y1) and (x2,y2)?
A. d= √(x2+x₁)² + (y 2 + y₁)²
B. d = √(x2 + x₁)² - (1/2 + 1/1)²
C. d = √(x2 - x₁ )² + (y₂ — y₁)²
D. d = √(x2-x₁)² - (√2 — y₁)²
22. Which of the and (x2,ya)?
A. M
2
B. M=1+2+1/2 C. M = x+2x+2 D. M = 1-2 1-92
2
2
2
2
23. Which of the following equations describe a circle on the coordinate plane with a radius of 4 units?
A. (x-4)²+(y-4)² = 22
C. (x + 2)² + (y + 2)² = 42