Exploring Consecutive Even Integers: A Challenge for 6th Graders

Two consecutive even integers have a sum of 34. What are the integers?

• 18 and 20

• 12 and 14

• 14 and 16

• 16 and 18

The difference between two consecutive even integers is 4. If the smaller integer is x, what is the larger integer?

• x + 2

• x + 6

• x + 4

• x - 4

A pair of consecutive even integers has a product of 288. What are the integers?

• 14 and 16

• 18 and 20

• 16 and 18

• 12 and 14

Three consecutive even integers add up to 54. What are the integers?

• 18, 20, 22

• 12, 14, 16

• 14, 16, 18

• 16, 18, 20

If the first of three consecutive even integers is 10, what are the other two integers?

• 8, 10

• 10, 12

• 14, 16

• 12, 14

The sum of four consecutive even integers is 68. What are the integers?

• 14, 16, 18, 20

• 12, 14, 16, 18

• 10, 12, 14, 16

• 16, 18, 20, 22

A family has two consecutive even-numbered ages. If the older sibling is 14, what is the younger sibling's age?

• 16

• 18

• 12

• 10

The sum of two consecutive even integers is equal to 50. What are the integers?

• 22 and 24

• 24 and 26

• 20 and 22

• 26 and 28

If the first even integer is represented as x, write an expression for the next two consecutive even integers and find their sum if x = 6.

• 24

• 12

• 18

• 30

Four consecutive even integers are represented as x, x+2, x+4, and x+6. If their total is 80, what is the value of x?

• 15

• 20

• 12

• 17