Transformations tables
These grids are filled according to some rules - can you complete
them?
Age
7 to 11
Challenge level
Problem
Can you complete these grids?
|
Image
|
Image
|
|
Image
|
Image
|
|
Image
|
Image
|
Student Solutions
This solution comes from Chris. Well
done!
| 22 | 20 | 18 | 16 | 14 |
| 26 | 24 | 22 | 20 | 18 |
| 30 | 28 | 26 | 24 | 22 |
| 34 | 32 | 30 | 28 | 26 |
| 38 | 36 | 34 | 32 | 30 |
The diagonal is the same as +2, because it's the same as + 4
then - 2.
| 2 | 6 | 18 | 54 | 162 |
| 4 | 12 | 36 | 108 | 324 |
| 8 | 24 | 72 | 216 | 648 |
| 16 | 48 | 144 | 432 | 1296 |
| 32 | 96 | 288 | 864 | 2592 |
The diagonal is the same as x 6, because it's x 2 and then x
3.
Image
The diagonal is the same as halving the width and doubling the height at the same time.