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Conditional statements practice

Total questions: 15

Worksheet time: 25mins

Name
Class
Date
1.

Select an accurate counter example to the given conjecture:

“Any number multiplied by a -2 will be a negative number.”

a)

There is no counter example

b)

15

c)

-5

d)

5

2.

Find an accurate counterexample for the conjecture:

“Any whole number multiplied by itself is greater than the original number.”

(a)  

3.

“If x is 22, then x - 10 = 12”

The conclusion is ________

a)

X is 22

b)

If x is 22

c)

X - 10 = 12

d)

Then x - 10 = 12

4.

Select an accurate conjecture about the pattern:

“14, 7, 0, -7,…”

a)

Divide by 2

b)

Multiply by 1/2

c)

Subtract half of the number

d)

Subtract by 7

5.

Create a counterexample to prove the conjecture false:

“Any month that begins with a ‘J’ is a summer month.”

(a)  

6.

“If two angles are supplementary angles, then the sum of the measure of the angles is 180.”

Identify the hypothesis

a)

If two angles are supplementary angles

b)

Then the sum of the measure of the angles is 180

c)

Two angles are supplementary angles

d)

The sum of the measure of the angles is 180

7.

P: A square has 3 sides.

Q: A square has 4 right angles.

What is the truth value of the compound statement P and Q

a)

True

b)

False

c)

None of the above

d)

They are neither true or false

8.

Any odd number, x, times two is an odd number.

Is x = 6 a good counter example.

a)

Yes, because it proves the statement false.

b)

No, because 6 times 2 is even

c)

No, because 6 is not an odd number.

9.

Make a conjecture about the sum of any three even numbers.

(a)  

10.

Make a conjecture about the sum of an odd number and an even number, plus 2.

(a)  

11.

“We will all die if the Earth explodes”

What is the Hypothesis of the conditional statement?

a)

If the Earth explodes

b)

We will all die

c)

We will all die if the Earth explodes

d)

The Earth explodes

12.

P is false, Q is true.

What is the truth value of the statement :

~P and Q

a)

True

b)

False

13.

Identify the conclusion of the statement:

“I will give you $30 if you mow the lawn.”

a)

Then I will give you $30.

b)

If you mow the lawn

c)

You mow the lawn

d)

I will give you $30

14.

Identify the conclusion of the conditional statement:

“If a number ends in a 5, then it is divisible by 5.”

a)

If a number ends in 5

b)

A number ends in 5

c)

Then it is divisible by 5

d)

It is divisible by 5

15.

What is the next term in the sequence:

10, 7, 4, 1, (a)   .