Practice Set #3
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The solutions also appear at
along with some other puzzles.
I have not done a complete solution to #5
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HINT FOR #8
The ANSWER is MORE THAN 30.
#8 Is VERY SIMILAR to:
THE ANSWERS ARE HERE...
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****************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
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
and 35 will be employed while
attending a university.
How many students will NOT WORK or
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),
(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:
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