Name:    Lesson 2: Extending Patterns in Tables

1.

Use the following table to answer questions 1-5.

Number of Triangles                                       Total Number of Toothpicks
1                                                                       3
2                                                                       5
3                                                                       7
4                                                                       9

How many toothpicks will there be when there are 5 triangles?
 a. 10 b. 11 c. 12 d. 13

2.

How many toothpicks will there be when there are 15 triangles?
 a. 29 b. 30 c. 31 d. 32

3.

What is the pattern in the second column of the table?
 a. add one each time c. add three each time b. add two each time d. add four each time

4.

If there were 13 toothpicks used, how many triangles would there be?
 a. 4 b. 5 c. 6 d. 7

5.

If there were 19 toothpicks used, how many triangles would there be?
 a. 7 b. 8 c. 9 d. 10

6.

Use the following diagram to answer questions 6-10.

Shape Number                                            Number of Tiles in the Shape
1                                                                  4
2                                                                  7
3                                                                  10
4                                                                  13

How many tiles will there be in shape number 5?
 a. 14 b. 15 c. 16 d. 17

7.

How many tiles will there be in shape number 11?
 a. 31 b. 32 c. 33 d. 34

8.

What is the pattern rule in the second column?
 a. add 2 each time c. add 4 each time b. add 3 each time d. add 5 each time

9.

If there were 25 tiles used, what would the shape number be?
 a. 7 b. 8 c. 9 d. 10

10.

If there were 37 tiles used, what would the shape number be?
 a. 10 b. 11 c. 12 d. 13