Page 160 - NUMINO Challenge_M2
P. 160
Type Study
48 12
The number of blocks that are added increases by 4 at each step.
So, 16 blocks are added from the 4th to the 5th figure.
To make the 6th figure from the 5th figure, 20 blocks need to be added.
The number of blocks of the 6th figure is 1+4+8+12+16+20=61 blocks.
Problem solving
1 Find a pattern to show the change in the numbers of green and yellow tiles.
1st 2nd 3rd 4th 5th 6th 7th
Number of green tiles 1 3 6 10 15 21 28
Number of yellow tiles 0 1 3 6 10 15 21
The number of green tiles increases by the following numbers: 2, 3, 4, 5, 6, 7,
The number of yellow tiles increases by the following numbers: 1, 2, 3, 4, 5, 6,
In the 7th figure, there are 7 more green tiles than yellow tiles.
2 Find a pattern of the number of coins that show each side.
1st 2nd 3rd 4th 5th 6th
Tails 1 1 6 6 15 15
Heads 0 3 3 10 10 21
In the 6th figure, there are 6 more coins that are showing heads than tails.
23Answer Key
48 12
The number of blocks that are added increases by 4 at each step.
So, 16 blocks are added from the 4th to the 5th figure.
To make the 6th figure from the 5th figure, 20 blocks need to be added.
The number of blocks of the 6th figure is 1+4+8+12+16+20=61 blocks.
Problem solving
1 Find a pattern to show the change in the numbers of green and yellow tiles.
1st 2nd 3rd 4th 5th 6th 7th
Number of green tiles 1 3 6 10 15 21 28
Number of yellow tiles 0 1 3 6 10 15 21
The number of green tiles increases by the following numbers: 2, 3, 4, 5, 6, 7,
The number of yellow tiles increases by the following numbers: 1, 2, 3, 4, 5, 6,
In the 7th figure, there are 7 more green tiles than yellow tiles.
2 Find a pattern of the number of coins that show each side.
1st 2nd 3rd 4th 5th 6th
Tails 1 1 6 6 15 15
Heads 0 3 3 10 10 21
In the 6th figure, there are 6 more coins that are showing heads than tails.
23Answer Key
