Upd Logic and Reasoning 2.1-2.3 (2.4 is not here)

3 Star Questions

100

An educated guess from incomplete information or a pattern is called a

conjecture

200

An if-then statement is called a:

Conditional Statement

300

When you switch the hypothesis with the conclusion of a conditional statement that is called a:

Converse

400

When you negate the hypothesis and conclusion of a conditional statement, that is called a(n):

Inverse

500

When you switch the hypothesis and conclusion of a conditional statement, and negate them, that is called a:

Contrapositive

Patterns

100

What is the next number in the pattern:

5, 12, 19, 26...

33

200

What is the 12th letter in the pattern:

A, B, A, C, A, B, A,C...

C

300

What is the next number in the pattern:

10, 5, 50, 25, 250, 125...

1250

400

What is the next number in the pattern:

6, -10, 4, -12, 2...

-14

500

What is the 103rd letter in the pattern:

X, Y, X, Z, X, Y, X, Z...

X

Conditional Statements

100

What is the hypothesis in the following statement:

If the students get this question right, then they will get the points added to their score.

the students get this question right

200

What is the conclusion in the following statement:

If the students get this question right, then they will get the points added to their score.

they will get the points added to their score

300

Put the following into a conditional statement:

I'm going to study for this next test so I will do well on it.

If I study for this next test, then I will do well on it.

400

Is the following statement true or false:

If tomorrow is Sunday, then yesterday was Friday.

True.

500

Put the following into a conditional statement:

I will get this right, if I read the question closely.

If I read the question closely, then I will get this right.

Converse, Inverse, and Contrapositive

100

What is the converse of the following statement:

If I eat too much candy, then I will get sick.

If I get sick, then I ate too much candy.

200

What is the inverse of the following statement:

If the Bears win the Superbowl, then CMHS students will suddenly become Bears fans.

If the Bears don't win the Superbowl, then CMHS students will not suddenly become Bears fans.

300

What is the contrapositive of the following statement:

If a tree falls in the forest, then it makes a sound.

If a tree doesn't make a sound, then it did not fall in the forest.

400

State the converse of the following statement and determine if it's true or false:

If I get sick, then I will not go to school tomorrow.

If I don't go to school tomorrow, then I will get sick.

False.

500

State the converse of the following statement and determine if it's true or false:

If I live in Crete, then I live in Illinois.

If I live in Illinois, then I live in Crete.

False

Biconditionals

100

When a conditional and its converse are true, you can combine them as a true __________.

Biconditional

200

Write the following as a biconditional:

You are only successful in Geometry, if you do your work.

You are successful in Geometry if and only if you do your work.

300

Is the following biconditional true, if not provide a counterexample:

A point is a midpoint if and only if it divides a segment into two congruent parts.

True

400

Is the following biconditional true, if not provide a counterexample:

A  figure is a square if and only if it is a rectangle.

False, a figure can be a rectangle without being a square.

500

Is the following biconditional true, if not provide a counterexample:

x=2 if and only if x²=4

False, x can also equal -2.