Download WS 2.1

Name
2-1
Class
Date
Practice
Form G
Patterns and Inductive Reasoning
Find a pattern for each sequence. Use the pattern to show the next two terms.
1. 5, 11, 18, 26, …
2. A, B, D, E, G, H, …
3. 3, 6, 12, 24, 48, …
4. 1, 5, 30, 210, 1680, …
5.
Use the sequence and inductive reasoning to make a conjecture.
6. How many sides does the fifth figure of Sequence A have?
7. How many sides does the tenth figure of Sequence A have?
Make a conjecture for each scenario. Show your work.
8. the square of an odd number is always _______________
9. the cube of a negative number is always______________
10. the product of two even numbers and an odd number is always_________________
11. the product of a multiple of 5 and a multiple of 2 can always be divided by_________
Find one counterexample to show that each conjecture is false.
12. The sum of two integers is always positive.
13. The product of two mixed numbers is never a whole number.
14. All four-sided figures are rectangles.
Name
2-2
Class
Practice
Date
Form G
Conditional Statements
Identify the hypothesis and conclusion of each conditional. Underline the hypothesis and
circle the conclusion
1. If a number is divisible by 2, then the number is even.
2. If the sidewalks are wet, then it has been raining.
3. The dog will bark if a stranger walks by the house.
4. If a triangle has three congruent angles, then the triangle is equilateral.
Write each sentence as a conditional.
5. A regular pentagon has exactly five congruent sides.
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6. All uranium is radioactive.
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7. Two complementary angles form a right angle.
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8. A catfish is a fish that has no scales.
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