Sierpiński Triangle

Creation of a Sierpiński Triangle using the Chaos game:

Math Counts Contents

MATH COUNTS:

Simple examples:
http://mathematicsmisc.blogspot.com/2014/09/5th-grade-practice.html


Angles of a POLYGON - Pentagon Problem
http://mathematicsmisc.blogspot.com/2015/03/pentagon-math-counts-2015.html

Sequence Problem
http://knepflevideos.blogspot.com/2015/09/math-counts-seq-problem-179.html

Dice Rolling and Coin Flipping videos
http://knepflevideos.blogspot.com/2015/11/math-counts-nov-4th-2015.html

Big Number Predict last digit without a calculator
http://knepflevideos.blogspot.com/2015/04/looking-for-pattern-video.html

Finding the Equation of a line
http://knepflevideos.blogspot.com/2018/01/given-two-points-equation-of-line-is.html

Practice Set #1

 

(click on picture for larger view!)
The solutions also appear at

http://puzzle-mania-for-the-mind.blogspot.com/2014/05/blog-post.html

along with some other puzzles.

I have not done a complete solution to #5

IF YOU CLICK ON A PROBLEM
YOU CAN SEE A LARGER VIEW!

(SCROLL DOWN FOR THE ANSWERS.)

HINT FOR #8

The ANSWER is MORE THAN 30.

#8 Is VERY SIMILAR to:

THE ANSWERS ARE HERE...

(CLICK ON THE PICTURE TO SEE BETTER!)

****************2nd half of the summer********************

#9) How many positive integers are FACTORS of 540?

#10) How many FOUR-DIGIT integers
use each of the digits 1,2,3 and 4

EXACTLY ONCE and are DIVISIBLE by 11?

#11) The senior class at Cincy High School has 200 students.

156 of the students are attending a university in the fall.

67 students will be employed,
and 35 will be employed while 

attending a university.
How many students will NOT WORK or

attend a university?

#12) What is the sum of the 40 smallest multiples of 7?

#13) In the prime factorization of 100!
(one hundred FACTORIAL),

what is the power of 5?

**************************************

#9) How many positive integers are FACTORS of 540?

ANSWER to #9) 24 choices

#10) How many FOUR-DIGIT integers 

use each of the digits 1,2,3 and 4

EXACTLY ONCE and are DIVISIBLE by 11?

ANSWER to #10) 8 four-digit integers

#11) The senior class at Cincy High School has 200 students.

156 of the students are attending a university in the fall.

67 students will be employed, 

and 35 will be employed while 

attending a university. 

How many students will NOT WORK or

attend a university?

ANSWER to #11) 12 students will do neither

#12) What is the sum of the 40 smallest multiples of 7?

ANSWER to #12) 5740

#13) In the prime factorization of 100!

(one hundred FACTORIAL),

what is the power of 5?

ANSWER to #12) the power on 5 is 24

**************************************

#14) ELVIS is in the building!

Counting Rectangles

Another 5th/6th grade competition question:

Practice Set #2

Practice Set #2

 

(click on picture for larger view!)
The solutions also appear at

http://puzzle-mania-for-the-mind.blogspot.com/2014/05/blog-post.html

along with some other puzzles.

I have not done a complete solution to #5

IF YOU CLICK ON A PROBLEM
YOU CAN SEE A LARGER VIEW!

(SCROLL DOWN FOR THE ANSWERS.)

HINT FOR #8

The ANSWER is MORE THAN 30.

#8 Is VERY SIMILAR to:

THE ANSWERS ARE HERE...

(CLICK ON THE PICTURE TO SEE BETTER!)

****************2nd half of the summer********************

The following problems are for Mid-June to July 20th:

(The solutions will appear after July 20th)

#9) How many positive integers are FACTORS of 540?

#10) How many FOUR-DIGIT integers
use each of the digits 1,2,3 and 4

EXACTLY ONCE and are DIVISIBLE by 11?

#11) The senior class at Cincy High School has 200 students.

156 of the students are attending a university in the fall.

67 students will be employed,
and 35 will be employed while 

attending a university.
How many students will NOT WORK or

attend a university?

#12) What is the sum of the 40 smallest multiples of 7?

#13) In the prime factorization of 100!
(one hundred FACTORIAL),

what is the power of 5?

**************************************

#9) How many positive integers are FACTORS of 540?

ANSWER to #9) 24 choices

#10) How many FOUR-DIGIT integers 

use each of the digits 1,2,3 and 4

EXACTLY ONCE and are DIVISIBLE by 11?

ANSWER to #10) 8 four-digit integers

#11) The senior class at Cincy High School has 200 students.

156 of the students are attending a university in the fall.

67 students will be employed, 

and 35 will be employed while 

attending a university. 

How many students will NOT WORK or

attend a university?

ANSWER to #11) 12 students will do neither

#12) What is the sum of the 40 smallest multiples of 7?

ANSWER to #12) 5740

#13) In the prime factorization of 100!

(one hundred FACTORIAL),

what is the power of 5?

ANSWER to #12) the power on 5 is 24

**************************************

#14) ELVIS is in the building!

A problem from the 6th grade contest -

Counting Rectangles

Another 5th/6th grade competition question: