MABALACAT CITY COLLEGE
ELC | TEACHING INTERNSHIP
SAMPLE QUIZ/EXAM
Sample Activity
Name:______________________ Section:_________ Score:________ Date:__________
Activity 6. Fact or Bluff. Write fact if the statement is true and bluff if the statement is
false.
_______1. An isosceles triangle has two sides of equal length and two angles of equal
size.
_______2. All the angles on an acute triangle are less than ninety degrees. Angles that are
less than ninety degrees are called acute angles.
_______3. A right triangle has one ninety-degree angle.
_______4. An obtuse triangle has one angle that is greater than ninety degrees.
_______5. An obtuse angle is one that is larger than ninety degrees.
_______6. Even the internal angles of a scalene triangle differ.
_______7. An equilateral triangle has three equal-length sides and three equal-length
angles.
_______8. All of the sides of the equilateral are congruent, as are all of the angles.
_______9. A triangle has three sides and three angles.
_______10. A triangle is also a two-dimensional shape; that means it is a flat shape.
Activity 7. Find the hypotenuse, opposite, adjacent and the missing measurement of
angle x of the right triangle. Be careful on the signs and symbols.
O
A
θ
D
1.
θ
2.
θ
C
R
G
B
Hypotenuse: _____
Opposite: _______
Adjacent: _______
Hypotenuse: _____
Opposite: _______
Adjacent: _______
3.
C
Y
Hypotenuse: _____
Opposite: _______
Adjacent: _______
MABALACAT CITY COLLEGE
ELC | TEACHING INTERNSHIP
SAMPLE QUIZ/EXAM
A
W
C
θ
θ
A
E
6.
4.
θ
5.
B
F
T
S
x
Hypotenuse: _____
Opposite: _______
Adjacent: _______
Hypotenuse: _____
Opposite: _______
Adjacent: _______
Hypotenuse: _____
Opposite: _______
Adjacent: _______
U
C
A
A
25
x
S
7.
B
x
8.
45
9.
C
W
B
Hypotenuse: _____
Opposite: _______
Adjacent: _______
Angle x: ________
Hypotenuse: _____
Opposite: _______
Adjacent: _______
Angle x: ________
Hypotenuse: _____
Opposite: _______
Adjacent: _______
Angle x: ________
Activity 8. Using the Pythagorean Theorem, find the length of the missing side of each
triangle. Show your solutions.
A
A
B
A
3.
2.
1.
C
a=3
b=4
c=?
B
C
a = 12
b=?
c = 20
B
C
a=?
b=8
c = 10
MABALACAT CITY COLLEGE
ELC | TEACHING INTERNSHIP
SAMPLE QUIZ/EXAM
C
A
A
B
B
5.
4.
C
6.
A
B
C
a = 16
b=?
c = 34
a = 24
b = 18
c=?
A
C
B
a = 18
b = 80
c=?
C
B
9.
8.
7.
C
A
a=?
b = 40
c = 50
a = 42
b=?
c = 70
A
A
a = 36
b=?
c = 60
MABALACAT CITY COLLEGE
ELC | TEACHING INTERNSHIP
SAMPLE QUIZ/EXAM
Sample Quiz
Name: _________________________Section: ______ Date: _______ Score: ________
Quiz # ______
A. Complete the table by giving the 6 trigonometric ratios of the following triangles.
angle of hyp opp adj sin cos tan csc sec cot
reference
1
2
3
A
2.
25
1.
θ
10
B
B
15
A
36
θ
49
θ
11
9
C
C
3.
B
21
A
7
C
B. Find the value of the following trigonometric functions.
1. sin 56
6. tan 65
2. cos 45
7. csc .6
3. sec .65
8. sec .15
4. sin 23
9. cot .25
5. cot .25
10. tan 45
C. Solve the missing sides and angles.
B
B
B
1.
3.
2.
?
4
C
3
280
x ©
18
A
C
x
6
A
C
12
A
MABALACAT CITY COLLEGE
ELC | TEACHING INTERNSHIP
SAMPLE QUIZ/EXAM
Sample Exam
Republic of the Philippines
Department of Education
Region III – Central Luzon
Schools Division of Tarlac Province
SAN ROQUE NATIONAL HIGH SCHOOL
Bamban, Tarlac
Qualifying Examination in Mathematics 9
Name:
Date:
Grade and Section:
Score:
I.
Read each question that follows and choose the answer from the given choices. Shade the
circle that represents your answer before each number.
A B C D
1.
It is a polynomial equation of degree of two that can be written in the form
x2 + bx + c = 0, where a, b, and c are real numbers and a ≠ o.
2.
3.
4.
5.
6.
7.
8.
a)
Linear Equation
c) Quadratic Equation
b)
Linear Inequality
d) Quadratic Inequality
The following method can be used to get the roots of quadratic equation. EXCEPT
a.
Extracting the square root
b.
Factoring
In the quadratic equation
c) FOIL method
d) Completing the square
ax2
+ bx + c = 0, which is the quadratic term?
a.
ax2
c) c
b.
bx
d) 0
Which of the following quadratic equation is written in standard form?
a.
x2 + 3x + 5 = 0
c) x2 + 3x = -5
b.
–x2 – 3x – 5 = 0
d) x2 = -3x – 5
The method of solving the quadratic equation x2 = k is called __________________________.
a.
Extracting the square root
b.
Factoring
c) Quadratic formula
d) Completing the square
Which of the following quadratic equation has no real solutions or roots?
a.
x2 = 4
b.
x2 =
c) x2 = 0
1
d) x2 = -1
2
The quadratic equation (x – 4)2 – 25 = 0 has a solution/root 9. What is the other one?
a.
-1
b.
1
Find the solutions of the equation
a.
(4, -4)
c) -2
d) 2
x2
– 42 = -6
c) (6, -6)
MABALACAT CITY COLLEGE
ELC | TEACHING INTERNSHIP
SAMPLE QUIZ/EXAM
b.
9.
(5, -5)
d) (7, -7)
Which of the following is a quadratic equation?
a.
x2 + 3x + 5
c) x + 3x + 5
b.
x2
d) x + 3x + 5 = 0
+ 3x + 5 = 0
10. The standard form of the quadratic equation s(s + 2) + 5 = 0 is ________________.
a.
2s2 + s + 5 = 0
c) 4s2 + s + 5 = 0
b.
s2 + 2s + 5 = 0
d) s2 + 4s + 5 = 0
11. The following quadratic equation can be solved easily by factoring. EXCEPT
a.
x2 + 4x + 4 = 0
c) x2 + 5x = 0
b.
x2 + 2x + 1 = 0
d) x2 + 6x + 9 = 0
For item 12 – 23, find the roots of the following quadratic equation using the required method. Write
your solution on the other side of your test paper. NO SOLUTION IS CONSIDERED WRONG!

Factoring
12. x2 + 5x + 6 = 0
13.
g2
a.
(2, -3)
c) (2, 3)
b.
(-2, 3)
d) (-2, -3)
+ 6g = 16
a.
(8, -2)
c) (8, 2)
b.
(-8, 2)
d) (-8, -2)
14. k2 – 14 = 5k
15.

4x2
a.
(7, -2)
c) (7, 2)
b.
(-7, 2)
d) (-7, -2)
+ 9 = 12x
3
3
2
2
3
3
2
2
a.
(− , − )
c) (− , − )
b.
3 3
(2 , 2 )
3 3
d) ( , )
2 2
Completing the square
16. x2 + 4x = 5
a.
(5, -1)
c) (5, 2)
b.
(-5, 1)
d) (-5, -2)
17. 2x2 + 6x – 18 = 0
a.
b.
18. x2 + 7x –
(3, -6)
c) (3, 6)
(-3, 6)
d) (-3, -6)
51
4
=0
a.
(7, 3)
b.
(-7, -3)
3 −17
c) ( ,
2
−3 17
d) (
2
,
2
)
2
)
MABALACAT CITY COLLEGE
ELC | TEACHING INTERNSHIP
SAMPLE QUIZ/EXAM
19. x2 – 6x – 41 = 0

a.
[(5 + 3√2)], [(5 – 3√2)]
c) [(5 + 2√3)], [(5 – 2√3)]
b.
[(2 + 3√5)], [(2 – 3√5)]
d) [(3 + 5√2)], [(3 – 5√2)]
Quadratic Formula
20. x2 + 4x + 3 = 0
21.
22.
x2
a.
(3, -1)
c) (3, 1)
b.
(-3, 1)
d) (-3, -1)
– 12x + 35
2x2
a.
(7, -5)
c) (7, 5)
b.
(-7, 5)
d) (-7, -5)
+ 4x = 3
a.
[(-1 –
b.
[(1 –
√10
)],
2
[(-1 +
√10
)],[(
2
1+
√10
)]
2
c) [(1 –
√10
)]
2
√10
)],[(
2
d) [(-1 –
-1 +
√10
)],[(
2
1+
√10
)]
2
√10
)]
2
23. x2 + 7x = 4
−7+√65
a.
[(
b.
[(
2
7+√65
2
−7−√65
)], [(
2
7−√65
)], [(
2
7+√65
)]
c) [(
2
−7+√65
)]
d) [(
2
−7−√65
)], [(
2
)]
7−√65
)], [(
2
)]
24. The value of the expression b2 – 4ac is called ___________________ of the quadratic equation.
a.
Roots
c) Nature
b.
Solution
d) Discriminant
25. When the discriminant of the quadratic equation is greater than zero and perfect square, what is
the nature of it roots?
a.
Rational numbers but are not equal
c) Irrational Numbers and are not
equal
b.
II.
Real numbers and are equal
d) Has no real roots
Match column A to column B. Write your answer on the space provided before each number.
Column A
26. A comparison between two or more quantities with the same units.
27. An equality between two ratios.
28. The square of the hypotenuse of a right triangle is equal to the sum of the squares of the legs.
29. These are polygons with congruent corresponding angles and proportional corresponding sides.
30. An imaginary line that connects the eye of an observer to the object being observed.
31. A device use to measure angles of elevation and depression.
32. A triangle which does not contain any right angle.
33. A ratio that describes a relationship between a side an angle of a triangle.
MABALACAT CITY COLLEGE
ELC | TEACHING INTERNSHIP
SAMPLE QUIZ/EXAM
34. The longest side of a right triangle.
35. A triangle whose one angle is 900
Column B
a)
b)
c)
d)
e)
f)
g)
III.
Similar polygon
Clinometer
Trigonometric ratio
Ratio
Hypotenuse
Angle of Depression
Right triangle
h)
i)
j)
k)
l)
Obtuse Triangle
Proportion
Line of Sight
Oblique triangle
Pythagorean Theorem
Solve the following
A
a) Pythagorean Theorem
In a right triangle ABC, find the unknown parts.
c
b
C
a
B
1.
2.
3.
a=3
a=
a = 12
b=4
b = 12
b=
b)
Use the SOH CAH TOA
c=
c = 13
c = 20
L
J
A
25
35
28
?
E
28
A
E
?
25
R
θ=?
25
G
T
Parents Signature
Prepared by:
Checked by:
Noted:
Jerome C. Velez
Lea A. Bituin
Eunice E. Lindo
Teacher I
JERALDO C. SO
MT – I
GREG P. GANIA
HT – III
Approved:
Amalia D. Lising
Principal II