INDUCTIVE AND DEDUCTIVE REASONING PRE TEST

What is inductive reasoning?

• Reasoning from general to specific

• Guessing without evidence

• Reasoning based on specific observations or patterns

• Using formulas to solve problems

Inductive reasoning often involves:

• Definite conclusions

• Observing specific cases to make generalizations

• Using laws to prove theorems

• Solving equations with variables

Which of the following best describes the conclusion of inductive reasoning?

• Always certain

• Always false

• Based on patterns and can be uncertain

• Must follow a formula

Inductive reasoning is commonly used in:

• Solving inequalities

• Observing patterns to make predictions

• Writing formal proofs

• Calculating area

In inductive reasoning, a conclusion is drawn from:

• A theorem

• A formula

• A set of examples or experiences

• A known fact

Which example best illustrates inductive reasoning?

• All rectangles have 4 sides. This figure is a rectangle. Therefore, it has 4 sides.

• Every time I water the plant, it grows. So watering helps it grow.

• If x = 2, then 2x = 4.

• Triangles have 3 sides.

A student sees the pattern: 1, 3, 5, 7, 9... and predicts the next number is 11. What type of reasoning is this?

• Deductive

• Hypothetical

• Inductive

• Symbolic

After observing that all her classmates enjoy math, Maria says all students must enjoy math. What reasoning did she use?

• Scientific

• Deductive

• Inductive

• Emotional

Which of the following is NOT an example of inductive reasoning?

• Generalizing based on a survey

• Making a prediction based on observed data

• Using a proven formula to calculate a result

• Identifying a pattern from examples

You toss a coin five times and get heads each time. You expect heads on the sixth toss. This is an example of:

• Trial-and-error

• Deductive reasoning

• Mathematical reasoning

• Inductive reasoning