Mobile Phones

Below is part of a numeric keypad from a Mobile Phone:

Special Numbers

1. Colour in the EVEN numbers.
2. Colour in the ODD numbers.
3. Colour in the SQUARE numbers.
4. Colour in the PRIME numbers.

Adding 3

1. Start with 1, colour it in then colour the sequence adding 3 on.
2. Start with 2, colour it in then colour the sequence adding 3 on.
3. Start with 3, colour it in then colour the sequence adding 3 on.

Adding 4

1. Start with 1, colour it in then colour the sequence adding 4 on.
2. Start with 2, colour it in then colour the sequence adding 4 on.
3. Start with 3, colour it in then colour the sequence adding 4 on.
4. Start with 4, colour it in then colour the sequence adding 4 on.

Adding 5

1. Start with 1, colour it in then colour the sequence adding 5 on.
2. Start with 2, colour it in then colour the sequence adding 5 on.
3. Start with 3, colour it in then colour the sequence adding 5 on.
4. Start with 4, colour it in then colour the sequence adding 5 on.

Adding 6

1. Start with 1, colour it in then colour the sequence adding 6 on.
2. Start with 2, colour it in then colour the sequence adding 6 on.
3. Start with 3, colour it in then colour the sequence adding 6 on.

Magic Square

Use a 3 x 3 grid and arrange all 9 digits so that each row, each column and both diagonals add up to 15. This is a Magic Square! Can you find a different arrangement that gives the same totals?

Algebra

In the Adding sections, try to find a general (algebraic) rule to give you the next number for each sequence. For each one, try to write down the 6th, 10th and 100th term without having to go right through all the numbers in-between.

Graphs

Use either graph paper (or a spreadsheet) to draw a graph for each of the special numbers (except primes)

Draw graphs for each set of Adding numbers. What do you notice about the lines in each set of graphs?