Investigating Patterns and Powers & Roots

What is the sequence for the following figures?

• 1, 2, 3, 4...

• 1, 3, 6, 10...

• 10, 6, 3, 1...

• 4, 3, 2, 1...

What is the common difference of the following pattern of blocks?

• 1

• 7

• 6

• 19

How many small squares should step 20 consist of?

• 247

• 121

• 131

• 133

Simplify: 3 x 3 x 3 x 3 x 3

• 3⁴

• 3³

• 3⁵

• 4³

What is 121 in exponential form?

• 11²

• 12²

• 11 x 11

• 12 x 12

√225

• 15
• 14
• 13
• 12

 $\sqrt{\frac{16}{81}}\ \ =\ ?$  

•  $\frac{8}{27}$  

•  $\frac{8}{9}$  

•  $\frac{4}{9}$  

•  $\frac{4}{3}$  

Evaluate the following expression. (Remember the Order of Operations)

• 21

• 10

• 11

• 19