To get the first answer we did:
First we worked out how many cubes are on each layer
Layer 1=1 layer 2=4 layer 3=9 layer4=16 layer 5=25 layer 6= 36
Visualise how many cubes there are so far going from the top to bottom
Layer 1 =1 layer 2=5 layer 3=14 layer 4=30 layer 5= 55 layer 6=91
Then we found out layer which has centre
We found the layers 3 and 6 have centres.
We then find out what cube was in the centre
The answers we got were 10 and 43.
To get the answer for the 2nd question we did:
First we worked out how many cubes are on each layer
Layer 1=1 layer 2=4 layer 3=9 layer4=16 layer 5=25 layer 6= 36
Visualise how many cubes there are so far going from the top to bottom
Layer 1 =1 layer 2=5 layer 3=14 layer 4=30 layer 5= 55 layer 6=91
Then we found out that it had to be on layer with an even number
These were the answers we got 24 and 75
To get the third answer we did:
First we worked out how many cubes are on each layer
Layer 1=1 layer 2=4 layer 3=9 layer4=16 layer 5=25 layer 6= 36
Visualise how many cubes there are so far going from the top to bottom
Layer 1 =1 layer 2=5 layer 3=14 layer 4=30 layer 5= 55 layer 6=91
Find a layer with a number that is in the 8 times tables.
We got the layer 4
We got the answer 33