Download Inductive and Deductive Reasoning Practice

Name________________________________________Date____________Period____Score____/30
Inductive and Deductive Reasoning Practice
PA Anchors: D1
Use inductive reasoning to find the next two terms in each sequence. Describe the rule that was used
to create the sequence
1. 4, 8, 12, 16, _____, _____
Rule: __________________________________
2. 400, 200, 100, 50, 25, _____, _____
Rule: __________________________________
3. 1, 3, 9, 27, 81, _____, _____
Rule: __________________________________
4. -4, 1, 6, 11, _____, _____
Rule: __________________________________
5. 12, 7, 11, 6, 10, _____, _____
Rule: __________________________________
Use inductive reasoning to draw the next two shapes in each pattern.
6.
7.
8. Solve the following equation. Give a reason for each step.
19 – 2(3x – 1) = 5(x + 2)
Original Equation
Use deductive reasoning to write a conclusion for each pair of statements.
9. All whole numbers are real numbers
71 is a whole number
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10. All integers are rational numbers
87 is an integer
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Determine whether each situation is an example of inductive or deductive reasoning.
11. Each day for the past two weeks there has been an even number of birds at your feeder.
Therefore, today there will be an even number of birds at the feeder.
__________________________
12. The sum of the angles of any triangle is 180. You know two angles of a triangle are 30 and
70. Therefore, the third angle must be 80.
__________________________
13. The perimeter of a square is 4 times the length of one side. The perimeter of a square is 20
inches. Therefore, the length of one side is 5 inches.
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14. The last 10 times you pushed an odd-numbered button, a red light flashed. Therefore, if you
push the button numbered 5, a red light will flash.
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15. All birds have beaks. A condor is a bird. Therefore, it has a beak.
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16. Whenever you walk out your door and see your neighbor’s cat, it rains that afternoon. You saw
your neighbor’s cat when you walked out the door this morning. Therefore, it will rain this
afternoon.
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Bonus:
A. Three boys are in three different rooms. Mario always tells the truth. Julio sometimes tells the
truth. Billy never tells the truth. Use the statements made by the person in each room to tell who is
in each of the rooms.
Room 1
I’m Julio.
Room 2
The guy in Room 1 is Mario.
Room 3
The guy in Room 1 is Billy.
Room 1 __________________
Room 2 __________________
Room 3 __________________
B. Three girls are in three different rooms. Carla always tells the truth. Brenda sometimes tells the
truth. Alice never tells the truth. Use the statements made by the person in each room to tell who is
in each of the rooms.
Room 1
The girl in Room 2 is Carla.
Room 1 __________________
Room 2 __________________
Room 3 __________________
Room 2
I’m Brenda.
Room 3
The girl in Room 2 is Alice.