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Inductive Reasoning Worksheet

Grade 12 Math worksheet on Inductive Reasoning, covering pattern recognition, conjecture formulation, and counterexamples.

Grade 12 Math AlgebraInductive Reasoning
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSG.CO.C.9CCSS.MATH.CONTENT.HSG.CO.C.10

Topics

Inductive ReasoningMathGrade 12ConjecturePatterns
7 sections · Free to use · Printable
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Inductive Reasoning

Name:

Date:

Score:

Read each question carefully and follow the instructions. Show all your work for full credit.

1. Observe the pattern in the sequence of numbers below. Describe the pattern and write the next three terms.

Sequence: 2, 5, 10, 17, 26, ...

Pattern Description:

Next three terms:

2. Complete the conjecture based on the given examples:

Example 1: 1 + 3 = 4 (even)

Example 2: 5 + 7 = 12 (even)

Example 3: 9 + 11 = 20 (even)

Conjecture: The sum of two odd integers is always  .

3. Which of the following is a counterexample to the conjecture: "All prime numbers are odd"?

a

3

b

9

c

2

d

11

4. True or False: If a quadrilateral has four congruent sides, then it must be a square.

T

True

F

False

5. Consider the sequence of figures below. Draw the next figure in the sequence and describe the pattern.

Pattern Description:

Draw the next figure:

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