PR-6102UK Investigating Number Patterns 3

0 . +
Noticing Nines – 2
1 2 3 4 5 6 7 8
AC C % ∏
9 x
4 5 6 –
1 2 3 =
1 List the answers to the nine times table.
1 x 9 =
9
(
odd
)
2 x 9 = ( )
3 x 9 = ( )
4 x 9 = ( )
5 x 9 = ( )
1 8
2 7
3 6
4 5
5 4
6 3
7 2
8 1
9 0
2 When the digits in the answer are split, more
patterns may be found.
3 What happens when the numbers along each of the diagonals are
subtracted? (Always take the smaller number away from the bigger.)
4 Complete the following multiplications.
Write down
whether the answer
is odd or even.
6 x 9 = ( )
7 x 9 = ( )
8 x 9 = ( )
9 x 9 = ( )
10 x 9 = ( )
a What happens when you add the digits along the diagonal?
b Try adding the digits along the other diagonal; i.e.
Write about what you notice.
a 736 x 9 =
6624 6 + 6 + 2 + 4
=
18
=
9
b 437 x 9 = = =
c 615 x 9 = = =
d 336 x 9 = = =
e 167 x 99 = = =
2
8
Add the digits in the
answer and keep
adding until a single
digit is found.
Viewing sample
5 What do you notice when the digits are added?
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