Inductive Reasoning and Conjecture

Which examples would support the conjecture that the sum of an even integer and an odd integer will be odd? Check all that apply.

• 2 + 5 = 7

• -3 + 4 = 1

• 6 + -9 = -3

• There are only counterexamples.

If you extended the pattern, how many dots would be in the 10th figure?

• 25
• 20
• 100
• 30

Determine the next 2 possible terms in the list.

400, 200, 100, 50, . . .

• 20, 10

• 25, 12

• 25, 12.5

• 25, 10

• 1
• 15
• 20
• 12

Where would the next red square be?

• bottom left
• top right
• top left
• bottom right

According to the graph, which is a reasonable conjecture?

• More girls will participate in high school lacrosse in Year 8 than those who participated in Year 7.

• The number of girls participating in high school lacrosse will exceed the number of boys participating in high school lacrosse in Year 9.

• There were more girls participating in high school lacrosse in Year 5 than in Year 1.

• More girls will participate in lacrosse in the United States during Year 8 than in Sweden.

What comes next?

• The next term will have 16 blocks
• The next term will have 15 blocks.
• The next term will have 14 blocks.
• This is the end of the pattern.

How many blocks would be in the next picture?

• 14
• 9
• 10
• 12

The table shows the average weights of several subspecies of tigers. What conjecture can you make about the relation between the weights of female tigers and the weights of male tigers?

• Female tigers weigh more than male tigers.

• Male tigers weigh more than female tigers.

• Male and female tigers have equal weights.

The sum of the interior angle of a square is 360.

The sum of the interior angle of a rectangle is 360.

The sum of the interior angle of parallelogram is 360.

The sum of the interior angle of a rhombus is 360.

What is the possible conclusion base on the given information?

• The sum of the exterior angles of a quadrilateral is 360.

• The sum of the interior angles is 360.

• The sum of the interior angles of a quadrilateral is 360.

• The interior angle of a quadrilateral is 360.