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Logic and Reasoning day 4

Authored by Desmond Smith

Mathematics

11th Grade

CCSS covered

Used 2+ times

Logic and Reasoning day 4
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8 questions

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1.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Translate the given statements into the correct symbolic notation. Use the symbolic statements found in the table below. Each statement will be used once.


Let p represent: you understand geometry

Let q represent: you are a logical thinker


You understand geometry and you are a logical thinker.

p ↔ q

p ⋀ q

p ⋁ q

p ∴ q

2.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Translate the given statements into the correct symbolic notation. Use the symbolic statements found in the table below. Each statement will be used once.


Let p represent: you understand geometry

Let q represent: you are a logical thinker


If you do not understand geometry, then you are not a logical thinker.

p → q

p ↔ q

~q → ~p

~p → ~q

3.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Translate the given statements into the correct symbolic notation. Use the symbolic statements found in the table below. Each statement will be used once.


Let p represent: you understand geometry

Let q represent: you are a logical thinker


If you are a logical thinker, then you understand geometry.

p → q

q → p

p ↔ q

p ∴ q

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Identify the conclusion to the following:
If Spencer wins his soccer game, then he will be happy.

Spencer is happy
Spencer is not happy
Spencer lost his game.
Spencer is not happy if he does not win his soccer game.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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


What is a counterexample of this statement?

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

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

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

A rectangle is also a quadrilateral.

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

All chickens that we have seen have been brown; so, all chickens are brown. 

Deductive
Inductive

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

All bears are mammals, all mammals have kidneys; therefore all bears have kidneys. 

Deductive
Inductive

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

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