Pres. Diosdado P. Macapagal Memorial High School: Sta. Cruz, Angat, Bulacan

Pres. Diosdado P.
Macapagal Memorial high School

Sta. Cruz, Angat, Bulacan
Final Examination
Mathematics IV
Name: ____________________________________________ Date: ___________________________

Yr./Sec.:___________________________________________ Teacher: _________________________
I. Multiple Choices a. First Quadrant b. Second

Directions: Read each item carefully, select the Quadrant
correct answer from the different choices and c. Third Quadrant d. Fourth
write the CAPITAL LETTER corresponding to the Quadrant
answer on the blank before each number. (Strictly 9. Which of the following is the quadrantal angle?
NO erasures) a. 750° b. 1080° c. 1500° d.
2000°
___1. Which of the following is true about a unit
circle? 10. What is the measure of the angle containing 2
a. Its radius is equal to one. complete revolutions when it is measured
b. The center is at the origin. counterclockwise?
c. it is defined by the equation x2+y 2=1. a. 2π b. 4π c.-2π d.-4π
d. All of the above.
11. If an angle measuring 240° is placed in
___2. What is 350° expressed in radians? standard position on the unit circle, what are the
a. 4π b.3π c. 4π d. 5π coordinates of its terminal side?
3 4 5 4 a. b.
-1 , -√3 -1 , √3
___3. Convert 5π/3 to degree measure. 2 2 2 2
a. 200° b. 225° c. 300° d. 360°
c. d.
___4. The acute positive angle formed between the -√3 , -1 √3 , 1
terminal side of an angle in standard position and 2 2 2 2
the x-axis is known as the _____.
a. coterminal angle 12. What are the coordinates of the terminal point
b. quadrantal angle of an arc on the unit circle whose measure is
c. reference angle 13π/3?
d. reflex angle a. b.
1 , - √3 1 , √3
2 2 2 2
___5. What is the smallest positive coterminal
angle of 450°?
a. 50° b. 70° c. 80° d. 90° c. d.
√3 , -1 √3 , 1
2 2 2 2
___6. Which of the following angles is coterminal
with -30°?
a. -330° b. -120° c. 330° d. 390° 13. The value of sine 90° is
a. -1 b. 0 c. 1 d.
___7. The reference angle of 300° is √3/2
a. 10° b. 30° c. 50° d. 60°
14. What is the value of cosine 270°?
___8. 1125° is found in what quadrant?
a. -1 b. 0 c. 1 d.  It is periodic function with a period of π.
undefined  It has infinite amplitude
 It has vertical asymptotes, some of which
15. Tan 5π/4 = _______. are
a. √2/2 b. -1 c. 1 d. x = - π/2 and x = π/2
undefined
a. y = csc x b. y = tan x c. y = sin x d. y =
16. Sin 240 is equal to cos x
a. √3/2 b. 1/2 c. -√3/2 d.
-1/5 23. It is the distance from the horizontal axis of a
periodic function to a high or low point.
17. Tan 2070° is a. vertex b. period c. amplitude d.
a. undefined b. -1 c. 0 d. 1 asymptote
18. 1000° is found in which quadrant? 24. If sin Ө = 4/5 and Ө is not in Quadrant I,
a. I b. II c. III d. IV what is cos Ө?
a. -3/5 b. 3/5 c. -5/3 d.
19. In which quadrant is cosine negative?
a. I an IV b. I and II c. II and III d. III
5/3
and IV
25. Solve for Ө : 2 sin – 1 = 0 , where 0° < Ө
20. An angle Q is found in the second quadrant. < 360°.
Which of the following is NOT true? a. 30° c. 30° and 150°
a. sin Ө is positive b. 150° d. 60° and 300°
b. tan Ө is negative 26. If a unit circle is divided into 6 congruent arcs,
c. sec Ө is positive what is the length of each arc in π units?
d. cos Ө is negative a. π/6 b. π/4 c. π/3 d. π/2
27. In a right triangle, the tangent of an acute angle

21. Which is the graph of y = 3sin x?
equals
a. b.
a. opposite side b. opposite sides
hypotenuse adjacent side
c. hypotenuse d. adjacent side

adjacent side opposite side
28. Determine the mode of the following set of

data:
15, 14, 11, 13, 12, 11, 9, 15, 9, 10, 10, 11, 12,
12, 9, 12, 12, 14, 10 and 13
c.
a. 9 b. 10 c. 11 d. 12
29. Determine the median of the given data:

15, 18, 17, 10, 14, 17, 19, 9, 16, 14
a. 15 b. 15.5 c. 16.5 d. 15
and 16
30. Given the following set of data, solve for the

mean
22. Which of the following functions has these
9, 10, 14, 15, 15, 16, 17, 17, 18, 19
properties?
a. 15 b. 15.5 c. 16.5 d. 16
II. Computation
Directions: Solve the following. Show the
necessary solutions:
A. Suppose a P20,000 investments earns

compound interest at the annual interest rate of
8%. How much will be on deposit after 3 years?
C. Using the figure below, find the values of the

six trigonometric functions of the angle Ө.
√3
2
Ө
B. Solve the equation: 2cos x + 1 = 0
D. Establish the identity: 1 + sin Ө = sec Ө + tan Ө

cos Ө

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Pres. Diosdado P.

Macapagal Memorial high School

Name: __________________ Date: _

I. Multiple Choices a. First Quadrant b. Second

27. In a right triangle, the tangent of an acute angle

c. hypotenuse d. adjacent side

28. Determine the mode of the following set of

29. Determine the median of the given data:

30. Given the following set of data, solve for the

A. Suppose a P20,000 investments earns

C. Using the figure below, find the values of the

B. Solve the equation: 2cos x + 1 = 0

D. Establish the identity: 1 + sin Ө = sec Ө + tan Ө

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