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MATH 0 - FINAL EXAMINATION

Total questions: 44

Worksheet time: 1hrs 27mins

Name
Class
Date
1.

Both hypotenuse and adjacent leg are next to θ so as r and y respectively, but always remember, the longest side is the hypotenuse.

a)

True

b)

False

c)

Maybe

2.

A reference angle must satisfy all these conditions except:

a)

One of its sides is the terminal side of θ.

b)

It is acute.

c)

It is positive or negative.

3.

Quadrantal angle is an angle in standard position whose terminal side lies between one of the axes.

a)

True

b)

False

c)

Maybe

4.

An obtuse triangle can be isosceles.

a)

True

b)

False

c)

Maybe

5.

A right triangle is not an isosceles.

a)

True

b)

False

c)

Maybe

6.

Is it possible to have a triangle with all the three angles exactly 45⁰?

a)

Yes

b)

No

c)

Maybe

7.

All acute triangles are equiangular.

a)

True

b)

False

c)

Maybe

8.

If two or more lines that is not necessarily parallel and have a line that crosses these lines, the crossing line is called a transversal.

a)

True

b)

False

c)

Maybe

9.

Equiangular means _______

a)

Equal sides

b)

Equal angles

c)

Equal lines

10.

All equilateral triangles can have all angles that are equal.

a)

True

b)

False

c)

Maybe

11.

All the angles of triangle are equal, then each of the angles is equal to _________.

a)

45⁰

b)

60⁰

c)

30⁰

12.

What kind of triangle the illustration?

a)

Acute

b)

Obtuse

c)

Right

13.

All equilateral triangles can be acute or obtuse.

a)

True

b)

False

c)

Maybe

14.

Sab is six years older than her brother Brielle. Three years from now, the sum of their ages will be thirty-eight. Find Sab’s present age.

(a)   years old

15.

Jhuno is twelve years older than Kelly. Five years from now, Jhuno will be twice as old as Kelly. Find Kelly’s present age.

(a)   years old

16.

Clent and Jorizz blended a coffee mix that sells for $3.00 by mixing two types of coffee. If they used 50 mL of a coffee that costs $3.50, how much of another coffee costing $2.00 did they mix with the first?

(a)   mL

17.

Clent and Jorizz blended a coffee mix that sells for $3.00 by mixing two types of coffee. If they used 50 mL of a coffee that costs $3.50, how much of another coffee costing $2.00 did they mix with the first?

(a)   mL

18.

The angle between the minute hand and the hour hand of a clock when the time is 1:20.

a)

90°

b)

75°

c)

80°

19.

At what time after 3 o’clock will the hands of the clock be at 20 degrees for the first time?

a)

3:30

b)

3:15

c)

3:20

20.

What is the terminal side in the figure? Ray (a)  

21.

What is the rotation in the figure?

(a)  

22.

What is the initial side in the figure? Ray (a)  

23.

Convert 140° to radian measure.

Make your answer into lowest term.

Format of answer example: 2pi/3

(a)  

24.

Convert 240° to radian measure.

Make your answer into lowest term.

Format of answer example: 2pi/3

(a)  

25.

Convert 11pi/9 to degree measure.

(a)   degree

26.

Convert 1.5pi to degree measure.

(a)   deg

27.

Give at least one pair of consecutive interior angles in the figure.

Angles __ and __

Format of answer __,__

(a)  

28.

Give at least one pair of consecutive exterior angle in the figure.

Angles __ and __

Format of answer __,__

(a)  

29.

Give at least one pair of corresponding angles in the figure.

Angles __ and __

Format of answer __,__

(a)  

30.

Give at least one pair of alternate interior angles in the figure.

Angles __ and __

Format of answer __,__

(a)  

31.

Give at least one pair of alternate exterior angles in the figure.

Angles __ and __

Format of answer __,__

(a)  

32.

What is the measurement of HYPOTENUSE?

(a)  

33.

What is cos θ?

Make it on its lowest term.

Format your answer with ex: 2/3

(a)  

34.

What is csc θ?

Make it on its lowest term.

Format your answer with ex: 2/3

(a)  

35.

What is cot θ?

Make it on its lowest term.

Format your answer with ex: 2/3

(a)  

36.

In what quadrant does: If If sin θ > 0, tan θ < 0 ??

Format your answer like: Q1

(a)  

37.

In what quadrant does: If cos θ > 0, csc θ < 0 ?

Format your answer like: Q1

(a)  

38.

Prove that 1 + cot2 θ\theta  = csc2 θ\theta  .

39.

Prove that tan θ\theta  cos θ\theta  = sin θ\theta  

40.

What is the measurement of side f ?

a)

22.65

b)

22.25

c)

26.25

d)

25.25

41.

What is the measurement of side a ?

a)

44.17

b)

47.14

c)

41.74

d)

44.74

42.

What is the measurement of side c ?

a)

41.25

b)

42.15

c)

45.12

d)

42.45

43.

A\angle A  measures (a)   degrees.

(Make it 2 decimal points only)

44.

What is the value of x ?

(Make it 2 decimal points only)

(a)