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PG Revision Exercises (Chap 3 Form 4)

Total questions: 50

Worksheet time: 2hrs 33mins

Name
Class
Date
1.
Using the statements:
If it is Friday, then I will get paid.
It is Friday.
Write the conclusion.
a)
It is not Friday
b)
It is Friday
c)
I will not get paid
d)
I will get paid
2.
Which statement is a valid conclusion based on the argument?
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles.
The polygon is a regular pentagon.
a)
Therefore, the polygon is a rectangle.
b)
Therefore, the polygon is a regular quadrilateral.
c)
Therefore, the polygon has exactly five congruent angles.
d)
Therefore, the polygon has congruent sides.
3.

Determine which one is a statement.

a)

3m x 2m = 6m

b)

A prime number has 2 factors.

c)

χ + γ

d)

Express 2300 in standard form.

e)

χ + 2 = 3

4.

Premise 1 : All rhombuses are parallelograms.

Premise 2 : __________________________________

Conclusion : A square is a parallelogram.

a)

A square not rhombus

b)

A square is a rhombus

c)

parallelograms is a square

d)

Parallelogram is not a square

5.

Complete the premise in the following argument.


Premise 1 : If set P is a subset of set Q, then P ∩ Q = P.

Premise 2 : .........................................................................

Premise 3 : Set P is not a subset f set Q.

a)

P ⋃ Q = Q

b)

P ∩ Q = P

c)

P ∩ Q ≠ P

d)

P ⋃ Q ≠ P

6.

state whether the following statement is true or false.


All polygons have five sides.

a)

True

b)

False

7.

complete the following compound statement by writing the word 'or' or 'and' to form a true statement.


42 = 8 [__] 7 x 0 = 0

a)

Or

b)

And

8.

complete the following statement using the quantifier 'all' or 'some', to make it a true statement.


......... integers are even number.

a)

All

b)

Some

9.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."


What is the converse of this statement?

a)

If a polygon is not a quadrilateral, then it is not a trapezoid.

b)

If a polygon is not a trapezoid, then it is not a quadrilateral.

c)

If a polygon is a trapezoid, then it is a quadrilateral.

d)

A rectangle is also a quadrilateral.

10.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."


What is the inverse of this statement?

a)

If the polygon is not a quadrilateral, then it is not a trapezoid.

b)

If the polygon is not a trapezoid, then it is not a quadrilateral.

c)

If the polygon is a trapezoid, then it is a quadrilateral.

d)

A rectangle is also a quadrilateral.

11.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."


What is the contrapositive of this statement?

a)

If a polygon is a trapezoid, then it is a quadrilateral.

b)

If a polygon is not a quadrilateral, then it is not a trapezoid.

c)

If a polygon is not a trapezoid, then it is not a quadrilateral.

d)

A rectangle is also a quadrilateral.

12.

Reasoning based on specific examples and patterns used to form conjectures is called ______________ reasoning.

a)

Inductive

b)

Deductive

13.
Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog. 
14.
Given:  If I get an A on my test then my mom will buy me a TV.
I got a 94 on my test.
what conclusion can be made.
a)
I am smart.
b)
I got an A on my test.
c)
My mom will buy me a TV.
d)
I must have cheated.
15.

x+y=10

a)

statement / Pernyataan

b)

non-statement / Bukan Pernyataan

16.
Which is the converse of:
"If a figure is a circle with radius r, then its circumference in 2(pi)r."
a)
If a figure has a circumference of 2(pi)r, then its a circle with radius r.
b)
If a figure doesn't have a circumference, then it's a circle with a radius of r.
c)
If a figure isn't a circle with radius r, then its circumference isn't 2(pi)r
d)
If a figure isn't a circle, then it doesn't have a circumference.
17.
Contrapositive of:
If an integer ends with 0, then it's divisible by 2.
a)
If an integer ends with 2 then it's divisible by 0.
b)
If an integer doesn't end in 0, then it's not divisible by 2.
c)
If an integer isn't divisible by 2, then it's doesn't end in 0.
d)
If an integer is divisible by 2, then it ends with 0.
18.
Inverse of: 
If you win the championship game, then you win the league trophy.
a)
If you don't win the championship game, then you don't win the league trophy.
b)
If you win the league trophy, then you win the championship game.
c)
If you don't win the league trophy, then you don't win the championship game.
d)
If you don't play the game, you can't win a trophy.
19.
Which statement is a valid conclusion based on the argument?
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles.
The polygon is a regular pentagon.
a)
The polygon is a rectangle.
b)
The polygon is a regular quadrilateral.
c)
The polygon has exactly five congruent angles.
d)
The polygon has congruent sides.
20.

Determine which one is a statement.

a)

3m x 2m = 6m

b)

A prime number has 2 factors.

c)

χ + γ

d)

Express 2300 in standard form.

e)

χ + 2 = 3

21.

Premise 1 : All rhombuses are parallelograms.

Premise 2 : __________________________________

Conclusion : A square is a parallelogram.

a)

A square not rhombus

b)

A square is a rhombus

c)

parallelograms is a square

d)

Parallelogram is not a square

22.

Which one is a statement

a)

square have 4 side

b)

circle have 3 side

c)

triangle dont have any side

23.

Complete the premise in the following argument.


Premise 1 : If set P is a subset of set Q, then P ∩ Q = P.

Premise 2 : .........................................................................

Premise 3 : Set P is not a subset f set Q.

a)

P ⋃ Q = Q

b)

P ∩ Q = P

c)

P ∩ Q ≠ P

d)

P ⋃ Q ≠ P

24.

State whether the following statement is true or false.


All polygons have five sides.

a)

True

b)

False

25.

Complete the following statement using the quantifier 'all' or 'some', to make it a true statement.


......... integers are even number.

a)

All

b)

Some

26.

Choose two implications based on the following statement.


y > 3 if and only if 2y > 6

a)

If y > 3, then 2y > 6

b)

If y < 6 , then 2y > 6

c)

If 2y > 6, then y > 3

d)

If 2y > 6, then y < 6

27.
Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog. 
28.

25 > 43

a)

statement / Pernyataan

b)

non-statement / Bukan Pernyataan

29.

11 and 15 is a prime number.

11 dan 15 ialah nombor perdana.

a)

True / Benar

b)

False / Palsu

30.

What is a statement?

a)

A sentence that is definitely true

b)

A sentence that is either true or false

c)

A mathematical expression

d)

A declarative sentence that can be both true and false

31.

Let p: Upin goes to school, q: Ipin is sick. If p is true and q is false, what is the truth value for p only if q ?

a)

False

b)

True

32.

Which of the following is true?

a)

All theorems can be easily proved using direct proof method

b)

Contrapositive proof method is for statements involving universal quantifiers

c)

If x is not odd then x is a multiple of 2

d)

If y is a multiple of 5 then y is not odd

33.
Which is a valid conclusion from these statements?
If a quadrilateral is a rhombus, then it is a parallelogram.
If a quadrilateral is a parallelogram, then its opposite angles are congruent.
a)
Opposite angles of a quadrilateral are congruent
b)
Opposite angles of a rhombus are congruent
c)
Every quadrilateral is a rhombus
d)
Every parallelogram is a rhombus
34.
What is the converse of the statement:
If an animal is a dog, then it does not moo.  
a)
If an animal is not a dog, then it does moo
b)
If an animal can moo, then it is not a dog
c)
If an animal does not moo, then it is a dog
d)
An animal is a dog if and only if it can moo
35.

Consider the statement:

If Ed lives in Texas, then he lives in the South of Canada.


Is the statement TRUE/FALSE/Cannot be determined?

a)

True

b)

False

c)

Cannot be determined

36.
When taking the converse we ___________ the hypothesis and conclusion.
a)
negate
b)
switch
c)
leave the same
d)
switch and negate
37.
When taking the inverse we _____________ the hypothesis and conclusion.
a)
negate
b)
switch
c)
switch and negate
d)
leave the same
38.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.
a)
If the measures of the angles are equal, then the angles are congruent.
b)
If angles are not congruent, then the measures of the angles are not equal.
c)
If the measures of the angles are not equal, then the angles are not congruent.
d)
If the angles are not congruent, then the measure of the angles are equal.
39.
Original: If Emily is not late to class, then she will not be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
Negation
40.
Which of the following is the converse of the statement:
"If you are a guitar player, then you are a musician."
a)
If you are not a guitar player, then you are not a musician.
b)
If you are a musician, then you are a guitar player.
c)
If you are a guitar player, then you are not a musician.
d)
If you are not a musician, then you are not a guitar player.
41.
Which of the following is the inverse to the statement: 
"If you diet and exercise, then you will lose weight."
a)
If you don't diet and exercise, then you will not lose weight.
b)
If you don't diet and exercise, then you will lose weight.
c)
If you lose weight, then you dieted and exercised.
d)
If you don't lose weight, then you diet and exercise. 
42.
Is the inverse of the following statement true? "If an angle measures 30 degrees, then it is acute."
a)
Yes
b)
No
43.

Which algebraic expression generalizes the pattern for the nth term?

a)

2n

b)

n+3

c)

n2

d)

2n-1

44.
How many cubes would be in the 10th figure?
a)
18
b)
16
c)
17
d)
41
45.
How would you describe this pattern's rule?
65, 62, 59, 56, 53, 50
a)
Subtract 2
b)
Subtract 3
c)
Subtract 4
d)
Add 3
46.
The type of reasoning where a person makes  conclusions based on observations and patterns is called...
a)
Inductive reasoning
b)
Deductive reasoning
c)
Conjecture
d)
Experiments
47.

All women are mortal.

Gregoria De Jesus is a woman.

Therefore, Gregoria De Jesus is a mortal.

What kind of reasoning is shown in the given statements?

a)

Inductive

b)

Deductive

c)

Inductive and deductive

d)

No answer

48.
What is the rule for this pattern?
1st term:32
2nd term:36
3rd term:40
a)
4x+28
b)
4x+32
c)
x+4
d)
4x
49.
For the inverse we _________ the hypothesis and conclusion
a)

flip

b)
negate
c)
Flip and negate
d)
do nothing to
50.
For the contrapositive we _________ the hypothesis and conclusion
a)

flip

b)
negate
c)
flip and negate
d)
do nothing to