Even / Odd Numbers

Help Questions

SAT Math › Even / Odd Numbers

Questions 1 - 10
1

If you multiply an even number by and odd number, what type of number will the answer be?

Even

Odd

Zero

A non-zero integer

Explanation

If you multiply an even number by and odd number, what type of number will the answer be?

For this question, let's try out a pair of numbers

Even: 6

Odd: 3

Now, if we multiply them, we get:

18, an even number.

Any number multiplied by an even number will yield an even number.

2

If you multiply an even number by and odd number, what type of number will the answer be?

Even

Odd

Zero

A non-zero integer

Explanation

If you multiply an even number by and odd number, what type of number will the answer be?

For this question, let's try out a pair of numbers

Even: 6

Odd: 3

Now, if we multiply them, we get:

18, an even number.

Any number multiplied by an even number will yield an even number.

3

If two odd numbers are multiplied, what will the product be?

Odd

Even

Not enough information to solve

Zero

Explanation

If two odd numbers are multiplied, what will the product be?

Let's begin by making up two numbers and seeing what we get.

So, we get 15, an odd number. Regardless of the two odd numbers we choose, we will always get an odd product.

4

Solve:

Explanation

Add the ones digits:

Since there is no tens digit to carry over, proceed to add the tens digits:

The answer is .

5

If two odd numbers are multiplied, what will the product be?

Odd

Even

Not enough information to solve

Zero

Explanation

If two odd numbers are multiplied, what will the product be?

Let's begin by making up two numbers and seeing what we get.

So, we get 15, an odd number. Regardless of the two odd numbers we choose, we will always get an odd product.

6

Solve:

Explanation

Add the ones digits:

Since there is no tens digit to carry over, proceed to add the tens digits:

The answer is .

7

Add:

Explanation

Add the ones digit.

Since the number is 10 or greater, the tens digit is the carryover.

Add the tens digit with the carryover.

Add the hundreds digit with the carryover.

Combine all the ones digits in our calculations.

The answer is .

8

Add:

Explanation

Add the ones digit.

Since the number is 10 or greater, the tens digit is the carryover.

Add the tens digit with the carryover.

Add the hundreds digit with the carryover.

Combine all the ones digits in our calculations.

The answer is .

9

If n is an integer that is not equal to 0, which of the following must be greater than or equal to n?

I. 7n

II. n + 5

III. n2

II only

I and II only

I and III only

II and III only

I, II, and III

Explanation

I is not always true because a negative number multiplied by 7 will give a number that is more negative than the original. II is true because adding 5 to any number will increase the value. III is true because squaring any number will increase the magnitude of the value, and squaring a negative number will make it positive.

10

If n is an integer that is not equal to 0, which of the following must be greater than or equal to n?

I. 7n

II. n + 5

III. n2

II only

I and II only

I and III only

II and III only

I, II, and III

Explanation

I is not always true because a negative number multiplied by 7 will give a number that is more negative than the original. II is true because adding 5 to any number will increase the value. III is true because squaring any number will increase the magnitude of the value, and squaring a negative number will make it positive.

Page 1 of 7
Return to subject