Math Madness
Round 4
Team
Score
Student
Example: 1, 2, 3, 4, 5, and so on are numbers used for counting.
What is the smallest counting number that is divisible by 2, 3, and 5?
 SHOW all your math work.
 PUT your answer in the ANSWER BOX.
 WRITE why you did each step.
ANSWER BOX:
2003-2004 CalcuSolve Bowl, Allegheny Intermediate Unit
Math Madness
Sample Solution
Team
Round 4
Score
Student
1, 2, 3, 4, 5, and so on are the counting numbers.
What is the smallest counting number that is divisible by 2, 3, and 5?
List of the counting numbers divisible by 2.
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, …
List of the counting numbers divisible by 3.
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, …
List of the counting numbers divisible by 5.
5, 10, 15, 20, 25, 30, …
I can see that 30 is the smallest number in all 3 lists.
 SHOW all your math work.
 PUT your answer in the ANSWER BOX.
 WRITE why you did each step.
I made a list of the counting numbers divisible by 2, 3, and 5.
I looked for the smallest number that was on all three lists. I
saw that 30 is the smallest number in all 3 lists.
ANSWER BOX:
30
2003-2004 CalcuSolve Bowl, Allegheny Intermediate Unit
Pennsylvania Standard Categories: M.A.2
Description of Task: Round 4 – Counting Numbers
Scoring Rubric:
4 points – The response demonstrates a thorough understanding of the mathematical
concepts and procedures required by the task.
-
Student provides:
o The correct solution of 30
o Clear and complete lists or other mathematical procedures
o A correct explanation
3 points – The response demonstrates a general understanding of the mathematical
concepts and procedures required by the task.
-
Student provides:
o The correct answer of 30
o Minor errors in the lists or other mathematical procedures
o The explanation may have minor errors but demonstrates a general
understanding
2 points – The response demonstrates a partial understanding of the mathematical
concepts and procedures required by the task.
-
Student provides:
o An incorrect answer
o The lists or mathematical procedures are incomplete or unclear
o The explanation has minor errors and demonstrates a partial
understanding
1 point – The response demonstrates a minimal understanding of the mathematical
concepts and procedures as required by the task.
-
Student provides:
o An attempt to solve the problem using information from the problem.
o May have nothing correct
0 points – The response has no correct answer and insufficient evidence to demonstrate
any understanding of the mathematical concepts and procedures as required by the
task.
-
Student provides:
o A blank paper
o An off-task response
o A response of “I don’t know”