Free Printable 2.1- Inductive Reasoning and Conditional Statements Geo

1.

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

2.

Complete the conjecture. Think of examples to help.
The product of any two odd numbers is _____________

a)

even

b)

odd

c)

zero

d)

positive

3.

What is a conjecture?

a)

A statement believed to be true based on observations.

b)

An example which disproves an hypothesis.

c)

the performance of tricks that are seemingly magical

4.

Find the next term in the sequence:
A, D, G, J, _____

a)

L

b)

M

c)

P

d)

K

5.

How many cubes would be in the 10th figure?

a)

18

b)

16

c)

17

d)

41

6.

What are the missing numbers in this pattern?
23, 33, ___, 53, ___, 73

a)

32, 62

b)

42, 63

c)

43, 63

d)

42, 62

7.

Where would the next red square be?

a)

bottom left

b)

top right

c)

top left

d)

bottom right

8.

a)

1

b)

15

c)

20

d)

12

9.

What are the missing numbers in this pattern?
12, 15, ___, 21, ____, 27

a)

18,23

b)

18, 24

c)

17, 25

d)

17, 24

10.

What are the next two numbers in this pattern?
12, 17, 22, 27, ___, ___

a)

32, 37

b)

30, 37

c)

30, 33

d)

32, 35

11.

Used to prove that a conjecture is false.

a)

Counterexample

b)

Inductive Reasoning

c)

Concluding statement

d)

Conjecture

12.

Which number is a counterexample to the following statement? :
All numbers that are divisible by 2 are divisible by 4

a)

0

b)

12

c)

28

d)

42

13.

Which is a counterexample of: The difference of two numbers is less than the greater number.

a)

(5) - (2) = 3

b)

(-5) - (4) = -9

c)

(2) - 0 = 2

d)

(3) - (3) = 0

14.

Given the following observation--Each day, you get to school before your friend--what conjecture can you make?

a)

You arrived at school before your friend yesterday.

b)

You will get home before your friend.

c)

You will arrive at school before your friend tomorrow.

d)

You need a new friend.

15.

Which of the following is a counterexample to the conjecture that the product of two positive numbers is always greater than either number?

a)

1 x 5 = 5; 5 is not greater than 5

b)

2 x 3 = 6; 6 is greater than 2 and 3

c)

-3 x 4 = -12; -12 is not greater than -3 or 4

d)

-1 x -2 = 2; two is greater than -1 and -2

16.

According to the graph, which is a reasonable conjecture?

a)

More girls will participate in high school lacrosse in Year 8 than those who participated in Year 7.

b)

The number of girls participating in high school lacrosse will exceed the number of boys participating in high school lacrosse in Year 9.

c)

There were more girls participating in high school lacrosse in Year 5 than in Year 1.

d)

More girls will participate in lacrosse in the United States during Year 8 than in Sweden.

17.

Which of the following is true about the conditional statement below?

If a man is 7 feet tall, then he plays basketball.

a)

Hypothesis: a man is 7 feet tall

Conclusion: he plays basketball

b)

Hypothesis: IF a man is 7 feet tall

Conclusion: THEN he plays basketball

c)

Hypothesis: THEN he plays basketball

Conclusion: IF a man is 7 feet tall

d)

Hypothesis: he plays basketball

Conclusion: a man is 7 feet tall

18.

Which of the following is true about the conditional statement below?

If you are flying, then you are in a

jet.

a)

Hypothesis: you are flying

Conclusion: you are in a

jet

b)

Hypothesis: IF you are flying

Conclusion: THEN you are in a

jet

c)

Hypothesis: THEN you are in a

jet

Conclusion: IF you are flying

d)

Hypothesis: you are in a

jet

Conclusion: you are flying

19.

Which of the following is true about the conditional statement below?

If you are in Alaska, then you are

cold.

a)

Hypothesis: you are in Alaska

Conclusion: you are

cold

b)

Hypothesis: IF you are in Alaska

Conclusion: THEN you are

cold

c)

Hypothesis: THEN you are

cold

Conclusion: IF you are in Alaska

d)

Hypothesis: you are

cold

Conclusion: you are in Alaska

20.

Which of the following is the CONVERSE of the statement below?

If an object is a ring, then it is

made of gold.

a)

If an object is made of gold, then it is a ring.

b)

If an object is not a ring, then it is not made of god.

c)

If an object is not made of gold, then it is not a ring.

d)

There is no converse of the statement.

21.

Which of the following is the CONVERSE of the statement below?

If an object is a bird, then it can fly.

a)

If an object can fly, then it is a bird.

b)

If an object is not a bird, then it cannot fly

c)

If an object cannot fly, then it is not a bird

d)

There is no converse of the statement

22.

Which of the following is the CONVERSE of the statement below?

If your grade is a 96, then you are

making an A.

a)

If you are making an A, then your grade is a 96.

b)

If you are not making an A, then your grade is not a 96.

c)

If your grade is not a 96, then you are not making an A.

d)

There is no converse of the statement.

23.

Which of the following is the CONVERSE of the statement below?

If you play football, then you wear

a uniform.

a)

If you wear a uniform, then you play football.

b)

If you do not play football, then you do not wear a uniform.

c)

If you do not wear a uniform, then you do not play football.

d)

There is no converse of the statement.

24.

Which of the following is the INVERSE of the statement below?

If an object is a computer, then it

has a hard drive.

a)

If an object is not a computer, then it does not have a hard drive.

b)

If an object does not have a hard drive, then it is not a computer.

c)

If an object has a hard drive, then it is a computer.

d)

There is no inverse of the statement.

25.

Which of the following is the INVERSE of the statement below?

If an object is a battery, then it is

rechargeable.

a)

If an object is not a battery, then it is not

rechargeable.

b)

If an object is rechargeable, then it is not a battery.

c)

If an object is not rechargeable, then it is not a battery.

d)

There is no inverse of the statement.

26.

Which of the following is the INVERSE of the statement below?

If an animal is black and white,

then it is a penguin.

a)

If an animal is not black and white, then it is not a penguin

b)

If an animal is a penguin, then it is black and white.

c)

If an animal is not a penguin, then it is not black and white.

d)

There is no inverse of the statement.

27.

Which of the following is the CONTRAPOSITIVE of the statement below?

If a species walks on two feet, then

it is human.

a)

If a species is not human, then it does not walk on two feet.

b)

If a species is human, then it walks on two feet.

c)

If a species does not walk on two feet, then it is not human.

d)

There is no contrapositive of the statement.

28.

Which of the following is the CONTRAPOSITIVE of the statement below?

If a gem is a ruby, then it is red.

a)

If a gem is not red, then it is not a ruby.

b)

If a gem is not a ruby, then it is not red.

c)

If a gem is red, then it is a ruby.

d)

There is no contrapositive statement.

29.

Which of the following is the CONTRAPOSITIVE of the statement below?

If a species is a fish, then it lives in

water.

a)

If a species does not live in water, then it is not a fish.

b)

If a species is not a fish, then it does not live in water.

c)

If a species lives in water, then it is a fish.

d)

There is not contrapositive of the statement.

30.

Which of the following is a valid conditional statement for the following phrase:

An acute angle has a measure less than 90°.

a)

If an angle is acute, then it has a measure less than 90°.

b)

If an angle is not acute, then it does not have a measure less than 90°.

c)

If an angle is acute, then it is acute.

d)

If an angle does not measure less than 90°, then it is not acute.

31.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle does not have a measure less than 90°, then it is not acute.

a)

Contrapositive

b)

Converse

c)

Biconditional

d)

Inverse

32.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle has a measure less than 90°, then it is acute.

a)

Converse

b)

Contrapositive

c)

Biconditional

d)

Inverse

33.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle is not acute, then it does not have a measure less than 90°.

a)

Inverse

b)

Contrapositive

c)

Biconditional

d)

Converse

34.

Write the converse of
$If\ 3x\ =\ 15,\ then\ x\ =\ 5.\$

a)

$If\ x\ \ne5,\ then\ 3x\ \ne15.$

b)

$If\ x\ =\ 5,\ then\ 2x\ =\ 10.$

c)

$If\ \ 3x\ \ne15,\ then\ x\ne5.$

d)

$If\ x\ =\ 5,\ then\ 3x\ =\ 15.\$

35.

Write the inverse of
$If\ 3x\ =\ 15,\ then\ x\ =\ 5.\$

a)

$If\ x\ \ne5,\ then\ 3x\ \ne15.$

b)

$If\ x\ =\ 5,\ then\ 2x\ =\ 10.$

c)

$If\ \ 3x\ \ne15,\ then\ x\ne5.$

d)

$If\ x\ =\ 5,\ then\ 3x\ =\ 15.\$

36.

Write the contrapositive of
$If\ 3x\ =\ 15,\ then\ x\ =\ 5.\$

a)

$If\ x\ \ne5,\ then\ 3x\ \ne15.$

b)

$If\ x\ =\ 5,\ then\ 2x\ =\ 10.$

c)

$If\ \ 3x\ \ne15,\ then\ x\ne5.$

d)

$If\ x\ =\ 5,\ then\ 3x\ =\ 15.\$

37.

Rewrite the statement as a conditional statement.

"The sum of the angles of a triangle is 180."

a)

If the sum of the angles of a triangle, then 180.

b)

If a figure is a triangle, then the sum of the angles is 180.

c)

If a figure sums angles, then the triangle is 180.

38.

Write the converse of the following statement.

"If a figure is a triangle, then the angles add to 180.

a)

If a figure is not a triangle, then the angles do not add to 180.

b)

If the angles of a figure do not add to 180, then it is not a triangle.

c)

If a figure has angles that add to 180, then it is a triangle.

2.1- Inductive Reasoning and Conditional Statements Geo

Total questions: 38

Worksheet time: 2hrs 57mins

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