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Sai Yong

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pattern 11:
number of blue stars is the pattern number multiplied by two; and the total number is added with one red star.
pattern 43:
43x2=86
86+1=87

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Equation:
Figure 1> 8 Suns & 1 Smiley Face
Figure 2> 12 Suns & 2 Smiley Face
Figure 3> 16 Suns & 3 Smiley Face
(Fig 1) + 4 Suns + 1 Smiley Face
= (Fig 2)
(Fig 2) + 4 Suns + 1 Smiley Face
= (Fig 3)
Reason:
The pattern is that the next figure is just adding 4 Suns and 1 Smiley Face to the Figure.

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1.5 x 43 = 64.5

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Pattern 1
no of squares, square the number
no tooth picks, Take the fig no plus 1 and times 4 and add. example for fig 4 toothpick ,
4+1=5
5 x5+4x5

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Pattern #7

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Formula: (figure number - 1) + figure number = number of blocks

Equation: (43-1)+43=85

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Pattern #3
(Fig no. +1)+ Fig no. +...+1=Ans
So,
Fig no. 43:
44+43+42+...+3+2+1=990

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Equation:
Fig number x 2 + 1
43 x 2 + 1 = 87

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-Cheng Jie
Equation:
To find amount of triangles is
1849=43 x 43
first pattern=1 x 1
second pattern=2 x 2
third pattern=3 x 3
.......
42 pattern=42 x 42=1764
43 pattern=43 x 43=1849

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Fig 1 -> 1 block
Fig 2 -> 2 blocks
Fig 3 -> 4 blocks
Fig 4 -> 8 blocks
Fig 5 -> 16 blocks
Fig 6 -> 32 blocks
Fig 7 -> 64 blocks

Multiply the previous number by 2 to get the next figure number.

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pattern 7 no:of trees
equation for pattern 7
green trees :+2+2
Black trees remain the same

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pattern 2

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pattern #1
Equation:
To find amount of squares is
43 x 43=1849
To find the amount toothpicks is
1849 - 4 = 1845
4 x 4 = 16
43 - 2 = 41
41 x 4 = 164
164 x 3 = 492
1845 - 164 = 1681
1681 x 2 = 3362
3362 +492 +16

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Pattern number x 2 + 1 = no. of trees
In this case:
43 x 2 + 1 = 87
;)

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pattern number times four and then plus 1

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130-4=126
126 divide by 3= 42
42+1=43

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Figure 1--1x2-1=1 Ans.1 puppies    Figure 2--2x2-1=3 Ans.3 puppies   Figure 3--3x2-1=5 Ans.5 puppies    So,

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Every pattern +2
1) 1 puppy
2)  2 x 1 + 1
.
.
.

19) 2 x 17 + 1
85 - 1 = 84
84/2 =42
Answer: 42

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pattern10

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3x2=6
43-1=42
42x3=126
126=6=132

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1+2+3......+41+42+43=946
946 times 3=2838

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Equation:
(Figure no. +1) x Figure no. x 2

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#2: Starting from Fig.2, u can take the fig. multiplied by the fig.no.-1

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#2: Starting from Fig.2, u can take the fig. multiplied by the fig.no.-1

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e.g. 2) 2+1=3
3) 3+2=5

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So for Pattern 43
43 multiplied by 25 is 1075
43-1=42
42 mulitplied by 15 + 20 is 650
1075-650=425
thats the amount given for free for buying 43 $25 gift cards

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Figure 1 = 6 snowflakes
Figure 2 = 9 snowflakes
Figure 3 = 12 snowflakes
plus 3 for every pattern

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43-4=39
39 times 2=78
78+7=85

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fig no times 3+2+1
e.g.
4x3+2+1=15 ;)

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2 x the pattern number before and +1

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Figure 43--43x2-1=85 Ans.85 puppies.

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43-3=40
40x3=120
120+12=132

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6）2 x 5 +1=11
.
.
.
.
17）2 x 16 +1=33
18）2 x 17 +1=35
.
.
30)2 x 29+1=59

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42x2=84
84+1=85

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2 multiplied by 42 then plus 1

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173-5=168
168 divide by 4= 42
42+1 43

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Pattern 129
fig no of odd number + fig no times 2
e.g.
for fig no ten
-the tenth odd number is 19.
-19 +(10x2)=39

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Equation:
(Figure no. +1) + Figure no. + Figure no.

Explanation: Column> Figure no. +1
Row> Figure no. x 2

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Number of green tree sets which have two green trees in them = the pattern number

Black tree remains the same number

Trees in step 43 = 43 multiplied by 2 + 1 = 87

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#8: From Fig. 2, add the no. of penguins according to the fig. no.

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#8: From Fig. 2, add the no. of penguins according to the fig. no.

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3 multiplied by the figure number then plus one

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fig 1 > 1 - 1 = 0
0 x 8 = 0
0 + 8 = 8
fig 2 > 2 - 1 = 1
1 x 2 = 2
2 + 8 = 10
fig 3 > 3 - 1 = 2
2 x 2 = 4
4 + 8 = 12
.
.
.
.
fig 43 > 43 - 1 = 42
42 x 2 = 84
84 + 8 = 92
method >

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to find the answer to the figure number,take the figure number and multiply it by 4 and add one to the number.EZ

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to find the answer to the figure number,take the figure number and multiply it by 4 and add one to the number.EZ

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1 block
Figure 2:
3 blocks ( 3+1/2 = figure no)
Figure 3
5 blocks ( 5+1/2 = 6 fig no)
Figure 4
7 blocks (7+1/2 = 4 fig no

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Pattern no. x 3 = no.of coins in pattern
In this case:
43 x 3 = 129
;)

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4 multiplied by the figure number to find the amount of circles and the amount of squares are just the figure number

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43-3=40
40x4=160
160+13=173

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well you basically just take the figure no.before the figure you wanna find and just simply +1 will do the trick.

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well you basically just take the figure no.before the figure you wanna find and just simply +1 will do the trick.

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Equation:
Fig number x 2 -1

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Number of squares
43 times 3= 129
Perimeter

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[43 x 3] + 5 =134

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#27:no. of red squares is the square no. of the fig.no. . Grey squares is the fig no.

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#27:no. of red squares is the square no. of the fig.no. . Grey squares is the fig no.

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how did you post the pattern?

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fig no square + fig no
e.g.
for fig 8
8x8+8=72

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Pattern

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Equation:
(Figure no. +1) + Figure no. + Figure no.

Explanation: Horizontal> Figure no. +1
Vertical> Figure no. x 2

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85 blocks, so:
85 + 1 = 86
86 / 2 = 43 = answer yey

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Figure number times 2 minus one.
43 times 2=86
86-1=85

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 take the pattern no. after the pattern no. you want to find and x it with 3

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 take the pattern no. after the pattern no. you want to find and x it with 3

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1)2 x 3 =6
2)3 x 3=9
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.
.
.
20)21 x 3 = 63
21) 22 x 3 =66
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.
.
48)49 x 3 =147

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pattern 20
take the pattern number times itself plus the pattern number times the next pattern number.
43x43+43x44=3741

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pattern 13.
add all the pattern numbers until pattern 43 to get the answer.

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pattern 211
the difference between the answer of each number is 4. so we can take 43 - 1 = 42 , to find how many differences there are , then take 42x4 which = 168. then, we can take 168 plus the first number.

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From figure 2:
(Fgn. - 1) x 2 + 1 = no. of cubes in figure
In this case:
(43 - 1) x 2 + 1 =85
;)

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method . (fig no. - 1) x 2 + 8

this is the shorter method instead of adding 2 as it is too troublesome

NOTE for fig 1 i typed x 8 instead of x 2 wrongly, sorry