Sargent Park Math Zone: Math Scavenger Hunt Station 4

Wednesday, November 10, 2010

Math Scavenger Hunt Station 4

Question 1

Find all the whole numbers who have a square root between 6 and 7. What do they all have in common?

Estimate the square roots using fractions for all of the whole numbers from the previous question.

Question 2

Using your perfect square chart estimate the square roots of the following numbers

10

30

112

350

28 comments:

Duyen8-14 said...: [6 squared= 36] 37 38 39 40 41 42 3 45 46 47 48 [7 squared= 49]

37=6 1/13
38=6 2/13
39=6 3/13
40=6 4/13
41=6 5/13
42=7 6/13
43=7 7/13
44=7 8/13
45=7 9/13
46=7 10/13
47=7 11/13
48=7 12/13

[3 squared= 9 squared] 10=3.2 [4 squared=16 squared]
[5 squared= 25 squared] 30=5.5 [6 squared=36 squared]
[10 squared=100 squared ] 112=10.6 [11 squared= 121 squared]
[18 squared=324 squared] 350=19.1 [19 squared=361 squared ]; 11/11/2010 1:13 PM
Suzie 8-14 said...: Station 4:

Question 1:
The whole numbers between the square root of 6 and 7 are

37 =6 (1/13)
38 =6 (2/13)
39 =6 (3/13)
40 =6 (4/13)
41 =6 (5/13)
42 =7 (6/13)
43 =7 (7/13)
44 =7 (8/13)
45 =7 (9/13)
46 =7 (10/13)
47 =7 (11/13)
48 =7 (12/13)

Question 2:
10=3.1
30=5.4
112=10.7
350=19.1

Also done by Emily.; 11/12/2010 2:12 PM
Emily873 said...: Question 1:

37,38,39,40,41,42,43,44,45,46,47,48
are the whole numbers with a square root between 6 and 7.

square root of 37=6 1/13
square root of 38=6 2/13
square root of 39=6 3/13
square root of 40=6 4/13
square root of 41=6 5/13
square root of 42=6 6/13
square root of 43=6 7/13
square root of 44=6 8/13
square root of 45=6 9/13
square root of 46=6 10/13
square root of 47=6 11/13
square root of 48=6 12/13

Question 2:
a)4 (2x2) 10 (3.1x3.1) 9 (3x3)

b)25 (5x5) 30 (5.4x5.4) 36 (6x6)

c)100 (10x10) 112 (10.5x10.5)
121 (11x11)

d)121 (11x11) 150 (12.2x12.2)
144 (12x12); 11/14/2010 1:57 PM
john906 said...: Station 4:

Question 1:
The whole numbers between 6 and 7 are

37=6 1/13
38=6 2/13
39=6 3/13
40=6 4/13
41=6 5/13
42=6 6/13
43=6 7/13
44=6 8/13
45=6 9/13
46=6 10/13
47=6 11/13
48=6 12/13

Question 2:
10= 3.1
30= 5.4
112= 10.7
350= 19.1; 11/14/2010 4:09 PM
Marysa873 said...: Station 4:
Question 1-
6=Square Root of 36
7=Square Root of 49

So the whole numbers with a square root between 6 and 7 are 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47 and 48.

Square Root of 37 is 6 1/13
Square Root of 38 is 6 2/13
Square Root of 39 is 6 3/13
Square Root of 40 is 6 4/13
Square Root of 41 is 6 5/13
Square Root of 42 is 6 6/13
Square Root of 43 is 6 7/13
Square Root of 44 is 6 8/13
Square Root of 45 is 6 9/13
Square Root of 46 is 6 10/13
Square Root of 47 is 6 11/13
Square Root of 48 is 6 12/13

Question 2-

a) 9 (3x3) 10 (3.1x3.1) 16 (4x4)

b) 25 (5x5) 30 (3.5x3.5) 36 (6x6)

c) 100 (10x10) 112 (10.6x10.6)
11 (121x121)

d) 324 (18x18) 350 (18.7x18.7)
361 (19x19); 11/14/2010 5:57 PM
kyle817 said...: This comment has been removed by the author.; 11/14/2010 5:58 PM
kyle817 said...: Station 4
1.
[36](37,38,39,40,41,42,
43,44,45,46,47,48)[48]

37=6 1/13
38=6 2/13
39=6 3/13
40=6 4/13
41=6 5/13
42=6 6/13
43=6 7/13
44=6 8/13
45=6 9/13
46=6 10/13
47=6 11/13
48=6 12/13

2.
[9] 10 [16]
3 3.2 4
10=3.2

[25] 30 [36]
5 5.5 6
30=5.5

[100] 112 [121]
10 10.6 11
112=10.6

[324] 350 [361]
18 18.6 19
350=18.7; 11/14/2010 6:00 PM
Anonymous said...: Question 1:

[6² = 36] 37, 38, 39, 40, 41, 42, 43, 44, 45, 46. 47, 48 [7² = 49]

They are all 2 digit numbers
All of them are non perfect squares

37 = 6 1/13
38 = 6 2/13
39 = 6 3/13
40 = 6 4/13
41 = 6 5/13
42 = 6 6/13
43 = 6 7/13
44 = 6 8/13
45 = 6 9/13
46 = 6 10/13
47 = 6 11/13
48 = 6 12/13

Question 2:

9-(3x3) [10]= 3.1 16-(4x4)

25-(5x5) [30]= 5.5 36-(6x6)

100-(10x10) [112]= 10.6 121-(11x11)

324-(18x18) [350]= 18.7 361-(19x19); 11/14/2010 6:29 PM
Casey 8-17 said...: Station 4:
Question 1-
6=Square Root of 36
7=Square Root of 49

So the whole numbers with a square root between 6 and 7 are 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47 and 48.

Square Root of 37 is 6 1/13
Square Root of 38 is 6 2/13
Square Root of 39 is 6 3/13
Square Root of 40 is 6 4/13
Square Root of 41 is 6 5/13
Square Root of 42 is 6 6/13
Square Root of 43 is 6 7/13
Square Root of 44 is 6 8/13
Square Root of 45 is 6 9/13
Square Root of 46 is 6 10/13
Square Root of 47 is 6 11/13
Square Root of 48 is 6 12/13

Question 2-

a) 9 (3x3) 10 (3.1x3.1) 16 (4x4)

b) 25 (5x5) 30 (3.5x3.5) 36 (6x6)

c) 100 (10x10) 112 (10.6x10.6)
11 (121x121)

d) 324 (18x18) 350 (18.7x18.7)
361 (19x19); 11/14/2010 6:49 PM
Anabelle9-05 said...: [6 squared= 36] 37 38 39 40 41 42 3 45 46 47 48 [7 squared= 49]

square root of 37=6 1/13
38=6 2/13
39=6 3/13
40=6 4/13
41=6 5/13
42=6 6/13
43=6 7/13
44=6 8/13
45=6 9/13
46=6 10/13
47=6 11/13
48=6 12/13

(3 squared= 9 squared) 10=3.2
(4 squared=16 squared)
(5 squared= 25 squared) 30=5.5
(6 squared=36 squared)
(10 squared=100 squared) 112=10.6 (11 squared= 121 squared)
(18 squared=324 squared) 350=18.1 (19 squared=361 squared); 11/14/2010 8:27 PM
kathryn8-17 said...: QUESTION 1
(6²= 36) 37 38 39 40 41 42 3 45 46 47 48 (7²= 49)

37=6 1/13,6.1
38=6 2/13,6.2
39=6 3/13,6.3
40=6 4/13,6.4
41=6 5/13,6.5
42=6 6/13,6.6
43=6 7/13,6.7
44=6 8/13,6.8
45=6 9/13,6.9
46=6 10/13,6.10
47=6 11/13,6.11
48=6 12/13,6.12
49=6 13/13,7

QUESTION 2
a) 9 (3x3) 10 (3.1x3.1) 16 (4x4)

b) 25 (5x5) 30 (3.5x3.5) 36 (6x6)

c) 100 (10x10) 112 (10.6x10.6)
11 (121x121)

d) 324 (18x18) 350 (18.7x18.7)
361 (19x19); 11/14/2010 9:14 PM
Alec 9-05 said...: Station 4
The whole number between6 and 7 are 37,38,39,40,41,42,43,44,45,46,47,48
They have a whole number with decimal for there square root.

3x3=9 10=4.1/7 4x4=16
5x5=25 30=5.5/11 6x6=36
10x10=100 112=10.12/21 11x11=121
18x18=324 350=18. 26/37; 11/14/2010 9:44 PM
Jayvee905 said...: Station 4:

Question 1:

6x6=36 7x7=49
37=6 1/13 43=6 7/13
38=6 2/13 44=6 8/13
39=6 3/13 45=6 9/13
40=6 4/13 46=6 10/13
41=6 5/13 47=6 11/13
42=7 6/13 48=6 12/13

They are all between 36 and 49. This are not all perfect squares.

Question 2:

10=3.2(3x3=9)(4x4=16)

30=5.5(5x5=25)(6x6)=36

112=10.6(10x10=100)(11x11=121)

350=18.8(18x18=324)(19x19=361); 11/14/2010 9:53 PM
Marie906 said...: Station 4

Question 1:
(6² = 36) - (7² = 49)
37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48

36 = 6
37 = 6 1/13
38 = 6 2/13
39 = 6 3/13
40 = 6 4/13
41 = 6 5/13
42 = 6 6/13
43 = 6 7/13
44 = 6 8/13
45 = 6 9/13
46 = 6 10/13
47 = 6 11/13
48 = 6 12/13
49 = 7

Question 2:
(9 = 3²) 10 = 3.1 (16 = 4²)
(25 = 5²) 30 = 5.5 (36 = 6²)
(100 = 10²) 112 = 10.6 (121 = 11²)
(324 = 18²) 350 = 18.7 (361 = 19²); 11/14/2010 10:25 PM
bennette8-17 said...: This comment has been removed by the author.; 11/14/2010 10:42 PM
Glenesse906 said...: Station 4:

Question 1:

(6²=36) 37,38,39,40,41,42,43,44,45, 46,47,48 (7²=49)

37 = 6 1/13
38 = 6 2/13
39 = 6 3/13
40 = 6 4/13
41 = 6 5/13
42 = 6 6/13
43 = 6 7/13
44 = 6 8/13
45 = 6 9/13
46 = 6 10/13
47 = 6 11/13
48 = 6 12/13

Question 2:

(9=3²) 10=3.1 (16=4²)
(25=5²) 30=5.4 (36=6²)
(100=10²) 112=10.5 (121=11²)
(324=18²) 350=18.7 (361=19²); 11/14/2010 10:48 PM
bennette8-17 said...: #1
6x6 = 36
7x7 = 49
( 36 ) 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48 ( 49 )

37=6 1/13
38=6 2/13
39=6 3/13
40=6 4/13
41=6 5/13
42=7 6/13
43=7 7/13
44=7 8/13
45=7 9/13
46=7 10/13
47=7 11/13
48=7 12/13

All of them are not perfect squares, which means if you try to find it's square root, the answer would have a whole number and decimals.
#2
a) 9 (3x3) 10 (3.1x3.1) 16 (4x4)

b) 25 (5x5) 30 (5.5x5.5) 36 (6x6)

c) 100 (10x10) 112 (10.6x10.6)
121 (11x11)

d) 324 (18x18) 350 (18.7x18.7)
361 (19x19); 11/14/2010 10:50 PM
Trish8-17 said...: Question 1

between the square root of 6 and 7
6x6 =36
7x7=49

= 37, 38,39, 40, 41, 42, 43, 44, 45,46,47,48=

square root of 37=6 1/13
square root of 38=6 2/13
square root of 39=6 3/13
square root of 40=6 4/13
square root of 41=6 5/13
square root of 42=6 6/13
square root of 43=6 7/13
square root of 44=6 8/13
square root of 45=6 9/13
square root of 46=6 10/13
square root of 47=6 11/13
square root of 48=6 12/13

Question 2

(9 = 3²) 10 = 3.1 (16 = 4²)
(25 = 5²) 30 = 5.5 (36 = 6²)
(100 = 10²) 112 = 10.6 (121 = 11²)
(324 = 18²) 350 = 18.7 (361 = 19²); 11/14/2010 10:52 PM
Demvry8-17 said...: Question 1:
The whole numbers between 6 and 7 are:
37 =6 1/13
38 =6 2/13
39 =6 3/13
40 =6 4/13
41 =6 5/13
42 =7 6/13
43 =7 7/13
44 =7 8/13
45 =7 9/13
46 =7 10/13
47 =7 11/13
48 =7 12/13

Question 2:
(9) 10 (16)
(3) 3.2 (4)
10=3.2

(25) 30 (36)
(5) 5.5 (6)
30=5.5

(100) 112 (121)
(10) 10.6 (11)
112=10.6

(324) 350 (361)
(18) 18.6 (19)
350=18.7; 11/15/2010 12:42 AM
Hazel905 said...: Question #1
The whole numbers that have a square root between 6 and 7 are: 37,38,39,40,41,42,43,44,45,46,47,48

√37=6 1/13
√38=6 2/13
√39=6 3/13
√40=6 4/13
√41=6 5/13
√42=6 6/13
√43=6 7/13
√44=6 8/13
√45=6 9/13
√46=6 10/13
√47=6 11/13
√48=6 12/13

Question #2
9(3²) 10 16(4²)
10 is closer to 9.
My estimate would be:3.1

25(5²) 30 36(6²)
30 is closer to 25.
My estimate:5.4

100(10²) 112 121(11²)
112 is closer to 121.
My estimate:10.6

324(18²) 350 361(19²)
350 is closer to 361.
My estimate:18.7; 11/15/2010 6:38 AM
Marilen906 said...: Question 1 .
The whole numbers between 36(6x6)and 49(7x7) is 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48.
√37=6 1/13
√38=6 2/13
√39=6 3/13
√40=6 4/13
√41=6 5/13
√42=6 6/13
√43=6 7/13
√44=6 8/13
√45=6 9/13
√46=6 10/13
√47=6 11/13
√48=6 12/13

Question 2 .
(9 = 3²) 10 = 3.1 (16 = 4²)
(25 = 5²) 30 = 5.5 (36 = 6²)
(100 = 10²) 112 = 10.6 (121 = 11²)
(324 = 18²) 350 = 18.7 (361 = 19²); 11/15/2010 8:03 AM
Paul M. 8-14 said...: QUESTION 1
(6²=36) 37 38 39 40 41 42 43 44 45 46 47 48 (7²=49)

36=6
37=6 1/13
38=6 2/13
39=6 3/13
40=6 4/13
41=6 5/13
42=6 6/13
43=6 7/13
44=6 8/13
45=6 9/13
46=6 10/13
47=6 11/13
48=6 12/13
49=7 13/13

QUESTION 2

(3² = 9²) 3.__x3.__=10 (4² = 16²)

(5² = 25²) 5.__x5.__=30 (6² = 36²)

(10²=100²) 10.__x10.__=112 (11²=121²)

(18²=324²) 18.__x18.__=350 (19² = 361²); 11/15/2010 5:38 PM
Karen816 said...: This comment has been removed by the author.; 11/15/2010 5:47 PM
Karen816 said...: Question 1:
(6² = 36) 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48 (7² = 49)

36 = 6
37 = 6 1/13
38 = 6 2/13
39 = 6 3/13
40 = 6 4/13
41 = 6 5/13
42 = 6 6/13
43 = 6 7/13
44 = 6 8/13
45 = 6 9/13
46 = 6 10/13
47 = 6 11/13
48 = 6 12/13
49 = 7

Question 2:
10;
(9 = 3²) [10 = 3.1] (16 = 4²)
30;
(25 = 5²) [30 = 5.5] (36 = 6²)
112;
(100 = 10²) [112 = 10.6] (121 = 11²)
350;
(324 = 18²) [350 = 18.7] (361 = 19²); 11/15/2010 6:37 PM
Karen 8-17 said...: the square root between 6 and 7 are 37,38,39,40,41,42,43,44,45,46,47,48

37=1/13
38=2/13
39=3/13
40=4/13
41=5/13
42=6/13
43=7/13
44=8/13
45=9/13
46=10/13
47=11/13
48=12/13
49=13/13

Question 2
10=(9)3.1(16)
30=(25)5.5(36)
112=(100)10.6(121)
350=(324)18.7(361); 11/15/2010 7:00 PM
Justin P816 said...: Question 1:

37
38=6 1/13
39=6 2/13
40=6 3/13
41=6 5/13
42=7 6/13
43=7 7/13
44=7 8/13
45=7 9/13
46=7 10/13
47=7 11/13
48=7 12/13

Question 2:
10=3.1
30=5.4
112=10.7
350=19.1; 11/15/2010 7:01 PM
Breanna873 said...: Question 1:

37,38,39,40,41,42,43,44,45,46,47,48
are the whole numbers with a square root between 6 and 7.

square root of 37=6 1/13
square root of 38=6 2/13
square root of 39=6 3/13
square root of 40=6 4/13
square root of 41=6 5/13
square root of 42=6 6/13
square root of 43=6 7/13
square root of 44=6 8/13
square root of 45=6 9/13
square root of 46=6 10/13
square root of 47=6 11/13
square root of 48=6 12/13

Question 2:
a)4 (2x2) 10 (3.1x3.1) 9 (3x3)

b)25 (5x5) 30 (5.4x5.4) 36 (6x6)

c)100 (10x10) 112 (10.5x10.5)
121 (11x11)

d)121 (11x11) 150 (12.2x12.2)
144 (12x12); 11/15/2010 7:28 PM
Shenna 8-14 said...: Station 4

1.
37,38,39,40,41,42,43,44,45,46,47,48

37=6 1/13
38=6 2/13
39=6 3/13
40=6 4/13
41=6 5/13
42=6 6/13
43=6 7/13
44=6 8/13
45=6 9/13
46=6 10/13
47=6 11/13
48=6 12/13

2.
10=3.1
30=5.4
112= 10.7
350= 19.1; 11/16/2010 8:13 AM