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Are You Smarter Than a 5th Grader

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					 Are You Smarter
Than a 6th Grader?

(Prime Time Math)
1,000,000             Are You Smarter Than a
500,000                     6th Grader?
500,000
                Investigation 5        Investigation 5 (Team 2)
175,000
100,000
                Investigation 4        Investigation 4 (Team 2)
 50,000
10,0000          Investigation 3       Investigation 3 (Team 2)

 10,000
                 Investigation 2       Investigation 2 (Team 2)
 1,000
 2,000      Investigation 1 (Team 1)   Investigation 1 (Team 2)
 1000
   Investigation 5 (Team 1) Q
There    are 50 lockers numbered 1 through
  50, in the downstairs halls at Applegarth.
  Connor is given a locker that is:
 Clue 1- The number is odd.
 Clue 2- The number is divisible by 3.
 Clue 3 – The number is a multiple of 7.

 What   is Connor’s Locker number?
Investigation 5 (Team 1)
        Answer
   Connor’s Locker is
   21
 Return

Return
   Investigation 5 (Team 2) Q
 Applegarth  has a total of 100 lockers upstairs for
  their 7th graders. Hearing about the Westfall
  High tradition with a thousand lockers, they
  decided to do the same. Student # 1 opened all
  the lockers, student #2 closes the door to 2,4,6,
  etc. and student #3 changes the state of lockers
  3,6,9,etc.
 What lockers will student #6 and student #8

  touch that are the same?
 Investigation 5 (Team 2) Answer

Student  #6 and Student #8 both
 touch lockers 24, 48, 72, 96
 Return

Return
  Investigation 4 (Team 1) Q
Write   the prime factorization for
 the following numbers:

240   and 366
 Investigation 4 (Team 1) Answer

240=   2x2x2x2x3x5

366=   61 x 2 x 3
 Return

Return
   Investigation 4 (Team 2)
Write   the prime factorization for
 the following numbers:

156   and 225
  4th Level Topic 4 Answer
156   = 2 x 2 x 3 x 13

225=   3x3x5x5
 Return

Return
  Investigation 3 (Team 1) Q
Mr.  Sidler and Mrs. Amabile had a
 Halloween party for their students. There
 was a total of 40 cupcakes and 60 cans of
 ice tea. Each student had the same
 number of cupcakes and cans of soda.

How  many students might have been at the
 party?
Investigation 3 (Team 2) Answer

The possibility of students could
have been 1,2,4,5,10, or 20 students.
 Return

Return
  Investigation 3 (Team 2) Q
The  Brookside cafeteria serves French
 bread pizza every 4 days and applesauce
 every 3 days. If French bread pizza and
 applesauce were given on Wednesday
 October 14th, when is the next time it will
 be on the menu together? (hint: Monday-
 Friday school week-no days off)
 Investigation 3 (Team 2) Answer

The  next time they serve french
 break pizza and applesauce will be on
 Friday October 30th.
 Return

Return
  Investigation 2 (Team 1) Q
Draw  a Venn Diagram for the
 multiples of 7 and 4.
 Investigation 2 (Team 1) Answer

 Multiples of 7     (both)   Multiples of 4
   7,14,21,35,42,   28,56     4,8,12,16,20
   49, 63                     24,32,36,40
                              44,48,52,60
 Return

Return
  Investigation 2 (Team 2) Q
Draw  a Venn Diagram for the Factors
 of 78 and 52.
 Investigation 2 (Team 2) Answer

Factors   78   (Both)      Factors 52

3,6,39,78      1,2,13,26     4,52
 Return

Return
  Investigation 1 (Team 1) Q
Find 3 numbers that have 2,3,and 5
 as factors.
Investigation 1 (Team 1) Answer

   30, 60, and 90.
 Return

Return
  Investigation 1 (Team 2) Q
Which    number has more factors?

25,   80, or 36
 Investigation 1 (Team 2) Answer

36 has 9 factors
80 has 10 factors
25 has 3 factors
 Return

Return
   Million Dollar Question

For   both Teams 1 and Team 2
        1,000,000 Question
What   is my number?

Clue 1 - My number is a multiple of 2 and 7.
Clue 2 - My number is less than 100, but
 more than 50.
Clue 3 - My number is the product of 3
 different prime numbers.
         1,000,000 Answer
Since  the number is a multiple of 2 and 7,
 it must be a multiple of 14. The multiples
 of 14 between 50 and 100 are
56 = 2 x 2 x 2 x 7
70 = 2 x 5 x 7
84 = 2 x 2 x 3 x 7
98 = 2 x 7 x 7
So 70 is the only number that is a product
 of 3 different prime numbers.
      Thanks for Playing

Test on Friday! Look over your
primetime book!

				
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posted:2/19/2012
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