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Illuminations: Triangle Number Order
/uploadedImages/Brain_Teasers/BT104-big.jpg

Triangular Number Order

Ten is a triangular number, because 10 objects can be neatly arranged in an equilateral triangle.

In general, a triangular number is a number that can be represented as a triangle with one object in the first row and each subsequent row contains one more element than the previous row. (From the picture above, you might notice that 1, 3, and 6 are also triangular numbers.)

Order the digits 1 through 9 so that the sum of any two adjacent numbers is a triangular number.

This brainteaser was written by Derrick Niederman.


Math Topics
Addition & Subtraction, Deductive Reasoning & Logical Thinking
K-6, Middle School
4th Grade, 5th Grade, 6th Grade, 7th Grade, 8th Grade
Descriptions of PDFs

Problem and solution

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Organization

National Council of Teachers of Mathematics

Website URL

Type of Resource

Activity Sheet
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Resource k12

Illuminations: Triangle Number Order
/uploadedImages/Brain_Teasers/BT104-big.jpg

Triangular Number Order

Ten is a triangular number, because 10 objects can be neatly arranged in an equilateral triangle.

In general, a triangular number is a number that can be represented as a triangle with one object in the first row and each subsequent row contains one more element than the previous row. (From the picture above, you might notice that 1, 3, and 6 are also triangular numbers.)

Order the digits 1 through 9 so that the sum of any two adjacent numbers is a triangular number.

This brainteaser was written by Derrick Niederman.


Math Topics
Addition & Subtraction, Deductive Reasoning & Logical Thinking
K-6, Middle School
4th Grade, 5th Grade, 6th Grade, 7th Grade, 8th Grade
Descriptions of PDFs

Problem and solution

What are you looking for?

Organization

National Council of Teachers of Mathematics

Website URL

Type of Resource

Activity Sheet
PDF File

Assigned Categories