Page 131 - NUMINO Challenge_A1
P. 131
Answer
Key
Type Study Stone Arrangements 1st 1st 2nd 1st 3rd 1st 4th 1st 5th
1 1 1 6 6 15
0 3 3 10 10
Number of Black Stones Black
Number of White Stones 1 White Black White Black
2 3 4 5
Dominant Color
Difference in Number
2 The pattern units:
Color: Black - White
Difference: The number of stones increases by 1 following the order.
Therefore, there are 7 more black stones in the 7th arrangement.
Problem solving
1 Arrangement 1st 1st 2nd 1st 3rd 1st 4th 1st 5th 1st 6th 1st 7th
Number of Black Stones 0 2 2 6 6 12 12
Number of White Stones 1 1 4 4 9 9 16
Dominant Color White Black White Black White Black White
Difference in Number 1 1 22 334
There are 4 more white stones in the 7th arrangement.
2 1st 2nd 3rd 4th 5th 6th 7th
6 12 20 30 42 56
Number of 2 23 34 45 56 67 78
Stones
Rules 12
There will be 56 stones in the 7th arrangement.
Creative Thinking
1 Find the pattern unit.
Top:
Bottom:
26 NUMINO Challenge A1
Key
Type Study Stone Arrangements 1st 1st 2nd 1st 3rd 1st 4th 1st 5th
1 1 1 6 6 15
0 3 3 10 10
Number of Black Stones Black
Number of White Stones 1 White Black White Black
2 3 4 5
Dominant Color
Difference in Number
2 The pattern units:
Color: Black - White
Difference: The number of stones increases by 1 following the order.
Therefore, there are 7 more black stones in the 7th arrangement.
Problem solving
1 Arrangement 1st 1st 2nd 1st 3rd 1st 4th 1st 5th 1st 6th 1st 7th
Number of Black Stones 0 2 2 6 6 12 12
Number of White Stones 1 1 4 4 9 9 16
Dominant Color White Black White Black White Black White
Difference in Number 1 1 22 334
There are 4 more white stones in the 7th arrangement.
2 1st 2nd 3rd 4th 5th 6th 7th
6 12 20 30 42 56
Number of 2 23 34 45 56 67 78
Stones
Rules 12
There will be 56 stones in the 7th arrangement.
Creative Thinking
1 Find the pattern unit.
Top:
Bottom:
26 NUMINO Challenge A1