Inductive Reasoning Worksheet - Grade 10 Math

Inductive Reasoning

Read each question carefully and use inductive reasoning to determine the next element in the pattern, make conjectures, or identify the rule.

Complete the following number patterns.

1. 2, 4, 6, 8,  

2. 1, 3, 7, 13,  

3. 1, 4, 9, 16,  

4. 1, 1, 2, 3, 5, 8,  

5. Draw the next figure in the pattern.

6. Observe the pattern of triangles. What will be the color of the 7th triangle if the pattern repeats: Blue, Red, Green, Blue, Red, Green...?

7. John observes that every time he waters his plant, it grows taller. He concludes that watering plants makes them grow. What type of reasoning is John using?

8. What is a conjecture?

For each statement, indicate whether it is True or False.

9. Inductive reasoning always guarantees a true conclusion.

10. A counterexample is a specific case that shows a conjecture is false.

11. Observe the following sequence of operations: (1 x 9) + 2 = 11, (12 x 9) + 3 = 111, (123 x 9) + 4 = 1111. Make a conjecture about the next equation in the sequence.

12. Consider the sum of any two odd numbers: 1+3=4, 5+7=12, 9+11=20. Make a conjecture about the sum of any two odd numbers.