### All SAT II Math II Resources

## Example Questions

### Example Question #1 : Number Theory

Express as a base ten number.

**Possible Answers:**

**Correct answer:**

Place values in the base two system are powers of two rather than powers of ten.

is equal to:

### Example Question #1 : Sat Subject Test In Math Ii

Express 68 as a base two (binary) number.

**Possible Answers:**

**Correct answer:**

68 can be expressed as the sum of *distinct *powers of two as follows:

Therefore, there are 1's in the seventh and third place from the right, and 0's everywhere else, so

### Example Question #2 : Number Theory

Express 73 as a binary (base two) number.

**Possible Answers:**

**Correct answer:**

73 can be uniquely expressed as the sum of distinct powers of two as follows:

Therefore, there is a "1" in the seventh, fourth, and first positions from the right, and a "0" everywhere else. So,

### Example Question #2 : Sat Subject Test In Math Ii

Which of the following numbers is an imaginary number?

**Possible Answers:**

**Correct answer:**

By definition, an imaginary number is a number with the term "i" in it. For this problem 7i is the only answer with the imaginary part.

Certified Tutor

Certified Tutor