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Since we’re practicing for the SAT, all of the questions below are in SAT format. That means that they’re not just meant to test whether you’ve studied number properties, but also to check your ability to use that knowledge creatively.

Before you start, do a little bit of review. Be ready to do some plugging in and process of elimination, too.

You’re going to need a pencil and paper. A calculator wouldn’t hurt, either.

## Five SAT Number Properties Questions

1. >In the three-digit integer , in which X, Y, and Z each represent a different integer, . If is even, how many different integers can it represent?

1. 2
2. 5
3. 8
4. 10
5. 15

2. If , which of the following must be true?

I.

II.

III.

1. I only
2. II only
3. I and II only
4. II and III only
5. I, II, and III

3. The sum of 4 distinct integers is 29. If the greatest integer is less than 10, what is the least of the four?

1. 0
2. 3
3. 5
4. 6
5. 7

4. When the prime number k is multiplied by 2, the result is 1 less than another prime number. Which of the following is NOT a possible value of k?

1. 2
2. 3
3. 5
4. 7
5. 11

5. If a and b are distinct positive integers and , then what is one possible value of y?

## Answers and Explanations

Hop on over to the answers and explanations post when you’re finished. Don’t just assume you got them all right… (or wrong, for that matter).

##### About Lucas Fink

Lucas is the teacher behind Magoosh TOEFL. He’s been teaching TOEFL preparation and more general English since 2009, and the SAT since 2008. Between his time at Bard College and teaching abroad, he has studied Japanese, Czech, and Korean. None of them come in handy, nowadays.

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