Self Check #1 – Logic & Reasoning
Name: _____________________________________ Date: ______________ Period: _____
Questions 1-4:
Use inductive reasoning to analyze the figures below.
1) Draw the next figure in the pattern.
Figure 1
Figure 4
Figure 3
Figure 2
2) Fill in the table for the number of squares in each of the figures.
Figure
Squares/Area
1
2
3
3) Write the conjecture that describes the geometric pattern.
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(Must be in sentence form!)
4) Use the pattern to predict the area (number of squares) of the 6th figure. ________
Questions 6-10:
Conditional Statement: “If there is a cake, then it is my birthday.”
5) Underline the hypothesis and circle the conclusion of the statement above.
6) Give a counterexample of the conditional statement.
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7) Write the inverse:
p q
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8) Write the converse: q  p
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9) Write the contrapositive:
q p
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10) Write the bi-conditional: p  q
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Questions 11-12:
Give a counter example for the FALSE conjecture.
11) All numbers divided by 2 are rational numbers.
12) Every sport played in High School uses a ball.
Questions 13-14:
Describe the patterns below, and find the next two numbers in the pattern.
13)
8, 56, 392, 2744,
14)
0, 5, 9, 12,
,
,
,
,
Draw the next two shapes in the following patterns.
15)
16)
Questions 17-18,
(a) State if the following is the Law of Detachment or the Law of Syllogism
(b) Write the conclusion. (use the If and then statement)
17) The more I practice the clarinet, the better I get at playing the instrument.
(a)
(b)
18) If I do all my homework, the better my grades. The better my grades, the more privileges my
parents give me!.
(a)
(b)
Deductive Reasoning:
19) Jerry, Kevin, Todd and Mark all live on the first floor of an Apartment Complex. One is a manager,
one is a computer programmer, one is a singer and the other is a teacher. Use the statements below
to determine who has which occupation.
A. Todd watches football with the computer programmer and teacher.
B. Kevin has dinner with the singer and teacher.
C. Todd and Kevin Carpool with the manager and teacher.
D. Mark enjoys teaching.
Name
Hobby