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FINAL EXAMINATION OF MATH 0

Total questions: 43

Worksheet time: 2hrs 55mins

Name
Class
Date
1.

Both hypotenuse and adjacent leg are next to θ so as r and x 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 positive or negative.

c)

It measure less than 90°90\degree   

3.

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

a)

True

b)

False

c)

Maybe

4.

An obtuse triangle can be equilateral.

a)

True

b)

False

c)

Maybe

5.

A right triangle can be an isosceles.

a)

True

b)

False

c)

Maybe

6.

Is it possible to have a triangle with all the three angles exactly 60⁰?

a)

True

b)

False

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 are in between of these lines, the crossing line is called a transversal.

a)

True

b)

False

c)

Maybe

9.

Equilateral means _____.

a)

Equal Angles

b)

Equal Sides

c)

Equal Lines

10.

All equilateral triangles can have all angles that are equal.

a)

True

b)

False

c)

Maybe

11.

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

a)

45⁰

b)

90⁰

c)

60⁰

d)

180⁰

12.

What kind of triangle the illustration?

a)

Right

b)

Obtuse

c)

Acute

13.

A girl, is one-third as old as her brother and 12 years younger than her sister. The sum of their ages is 52 years. How old is the girl?

Girl : (a)   years old

14.

Sam is now 18 years old and his colleague Jorizz is 14 years old. How many years ago was Sam twice as old as Jorizz?

Sam : (a)   years old

15.

An experimentation in the lab needs a 10% saline solution. One of the scientist finds a 20 ounce bottle of 25% saline solution in a closet. How many ounces of pure water should he add to the mixture to produce the correct saline solution?

(a)   ounces.

16.

Jhuno, the barista at Moose Jaw Coffee, has to mix together two kinds of coffee beans - Cappuccino Madness, which costs $12 a pound, and Sumatra Sweetness, which costs $20 a pound - to produce forty pounds of a coffee that costs $14 a pound. The beans in the mixture sell for the same price as they would separately.

How many pounds of Cappuccino Madness coffee will Mike put into the mixture?

(a)   pounds

17.

What time at 7 o’clock will be the hands of the clock:

a) at 30 degrees for the first time.

a)

7:43.63

b)

7:32.73

c)

7:16.36

d)

7:10.91

18.

At what time after 12 o’clock will the hands of the clock be at 20 degrees for the first time?

a)

12:15

b)

12:20

c)

12:30

d)

12:45

19.

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

20.

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

21.

What is the rotation in the figure?

USE CAPITAL LETTERS.

(a)  

22.

Convert 110° to radian measure.

Make your answer into lowest term.

Format of answer example: 2pi/3

(a)  

23.

Convert 630° to radian measure.

Make your answer into lowest term.

Format of answer example: 2pi/3

(a)  

24.

Convert 11pi/9 to degree measure.

(a)   degree

25.

Convert 1pi/2 to degree measure.

(a)   degree

26.

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

Angles __ and __

Format of answer __,__

(a)  

27.

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

Angles __ and __

Format of answer __,__

(a)  

28.

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

Angles __ and __

Format of answer __,__

(a)  

29.

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

Angles __ and __

Format of answer __,__

(a)  

30.

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

Angles __ and __

Format of answer __,__

(a)  

31.

What is the measurement of HYPOTENUSE?

(a)  

32.

What is sin θ?

Make it on its lowest term.

Format your answer with ex: 2/3

(a)  

33.

What is sec θ?

Make it on its lowest term.

Format your answer with ex: 2/3

(a)  

34.

What is tan θ?

Make it on its lowest term.

Format your answer with ex: 2/3

(a)  

35.

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

Format your answer like: Q1

(a)  

36.

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

Format your answer like: Q1

(a)  

37.

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

38.

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

39.

What is the measurement of side f ?

a)

22.65

b)

22.25

c)

25.25

d)

26.25

40.

What is the measurement of side a ?

a)

47.14

b)

44.74

c)

41.74

d)

44.17

41.

What is the measurement of side c ?

a)

41.25

b)

45.12

c)

42.45

d)

42.15

42.

∠A  measures (a)   degrees.

(Make it 2 decimal points only)

43.

What is the value of x ?

(Make it 2 decimal points only)

(a)