Copyright © University of Cambridge. All rights reserved.
Here are the answers to the challenges:
2) Take the numbers 2, 4, 6, 8 and multiply them mod 10 (so
just write down the last digit).
x |
2 |
4 |
6 |
8 |
2 |
4 |
8 |
2 |
6 |
4 |
8 |
6 |
4 |
2 |
6 |
2 |
4 |
6 |
8 |
8 |
6 |
2 |
8 |
4 |
3) Take the numbers 1, 2, 3, 4 and multiply them mod 5.
x |
1 |
2 |
3 |
4 |
1 |
1 |
2 |
3 |
4 |
2 |
2 |
4 |
1 |
3 |
3 |
3 |
1 |
4 |
2 |
4 |
4 |
3 |
2 |
1 |
4) Take the numbers 1, 3, 5, 7 and multiply them mod 8.
x |
1 |
3 |
5 |
7 |
1 |
1 |
3 |
5 |
7 |
3 |
3 |
1 |
7 |
5 |
5 |
5 |
7 |
1 |
3 |
7 |
7 |
5 |
3 |
1 |
5) Rotations of a square
|
I |
Q |
Q ² |
Q ³ |
I |
I |
Q |
Q ² |
Q ³ |
Q |
Q |
Q ² |
Q ³ |
I |
Q ² |
Q ² |
Q ³ |
I |
Q |
Q ³ |
Q ³ |
I |
Q |
Q ² |
6) Symmetries of a rectangle
|
I |
V |
H |
R |
I |
I |
V |
H |
R |
V |
V |
I |
R |
H |
H |
H |
R |
I |
V |
R |
R |
H |
V |
I |
7) The T-shirt!
|
Same |
BTF |
I-O |
Both |
Same |
Same |
BTF |
I-O |
Both |
BTF |
BTF |
Same |
Both |
I-O |
I-O |
I-O |
Both |
Same |
BTF |
Both |
Both |
I-O |
BTF |
Same |