SAT Math: Sum of Consecutive Integers (w/ example)

Consecutive integer questions typically tell you the sum total of a group of consecutive integers and then ask you to find one of these integers.

To handle sum of consecutive integer questions:

1. First divide the sum by the number of integers to get the midpoint of the sequence.
2. Then count up or down from this midpoint to find the integer asked for by the question.

Example:

The sum of five, consecutive odd integers is 195. What is the greatest of these integers?

(A)  33
(B)  36
(C)  39
(D)  43
(E)  71

Answer in the Comments.

SAT Math Exercise: Number Properties

Assuming whole numbers (integers), what is the correct answer for each of the following:

1. positive x positive = positive or negative?
2. negative x negative = positive or negative?

3. positive x negative = positive or negative?

4. even + odd = even or odd?

5. odd + odd = even or odd?

6. even + even = even or odd?

7. even x odd = even or odd?

8. odd x odd = even or odd?

9. even x even = even or odd?

10. positive odd x negative even = positive odd or negative even?

11. negative odd x negative odd = positive odd or negative even?

12. negative odd x positive even = positive odd or negative even?

13. Which is greater? -3 or -4?

See Comments for answers.