Page 133 - NUMINO Challenge_A1
P. 133
Answer
Key
1 4 9 16 25 36 49 64
2 3 8 15
5 6 7 14
10 11 12 13
17 21
26 31
37 43
50 57
03 Split the sequence (1, 3, 2, 6, 3, 9, 4, 12, 5, ) into two, such that each sequence skips
every other number.
In the sequence that starts with 1, the numbers increase by 1. 1, 2, 3, 4, 5, 6,
In the sequence that starts with 3, the numbers increase by 3. 3, 6, 9, 12, 15, 18,
Term 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th 11th 12th 13th 14th 15th 16th 17th 18th 19th
Number 1 3 2 6 3 9 4 12 5 15 6 18 7 21 8 24 9 27 10
04 There are 1, 2, 3, 4, 5, 6... white stones between groups of black stones.
15 white stones will be placed after the 15th black stone. Up to this point,
1+2+3+4+...+15 = 120 white stones will be have been placed. Therefore, 30 white
stones will be left over.
05 In each table, the numbers have moved one space at a time in a clockwise direction.
12 12 1
12 13 13 2
11 16 10 11
10 9 9 16
The table can be completed as shown below according to the rules.
34 14 3
14 5 54
15 6 8 15
87 7 6
Therefore, the answer is .
28 NUMINO Challenge A1
Key
1 4 9 16 25 36 49 64
2 3 8 15
5 6 7 14
10 11 12 13
17 21
26 31
37 43
50 57
03 Split the sequence (1, 3, 2, 6, 3, 9, 4, 12, 5, ) into two, such that each sequence skips
every other number.
In the sequence that starts with 1, the numbers increase by 1. 1, 2, 3, 4, 5, 6,
In the sequence that starts with 3, the numbers increase by 3. 3, 6, 9, 12, 15, 18,
Term 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th 11th 12th 13th 14th 15th 16th 17th 18th 19th
Number 1 3 2 6 3 9 4 12 5 15 6 18 7 21 8 24 9 27 10
04 There are 1, 2, 3, 4, 5, 6... white stones between groups of black stones.
15 white stones will be placed after the 15th black stone. Up to this point,
1+2+3+4+...+15 = 120 white stones will be have been placed. Therefore, 30 white
stones will be left over.
05 In each table, the numbers have moved one space at a time in a clockwise direction.
12 12 1
12 13 13 2
11 16 10 11
10 9 9 16
The table can be completed as shown below according to the rules.
34 14 3
14 5 54
15 6 8 15
87 7 6
Therefore, the answer is .
28 NUMINO Challenge A1