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• Table patterns • • • • • Multiple patterns • • RM16, calculator

OJ Mark the numbers on the 1 ~O-square like this. ~ :tel·UI!!·_
a Put a 0 over the multiples of 3. PAGE 51
1 2
b Put a + over the multiples of 6. 11
c Put a D. over the multiples of 9. t7 2 :-: 1 '\t:::J::::::::::::t::::::t:::::::v- ---=±7*8I

Numbers marked m are cammon multiples af 3 and 6.

[]J Write about the numbers marked like this.

@] Write these numbers.
a 6th multiple of 9 b 10th multiple of 3 c 8th multiple of 6 IT]
d 9th multiple of 9 e 16th multiple of 3 f 13th multiple of 6
9 11 th multiple of 9 h 25th multiple of 3 i 16th multiple of 6
Practical: using 100-
square on RM 16 to
m a List the numbers marked m in ascending order. mark:
'b Design a diagram like this a multiples of 3 0
for each of the numbers you found in a.

b multiples of 6 t--t=
CHALLENGE
There are 6 common multiples of 3, 6 and 9 between 100 and 200.
True or false? Investigate.
c multiples of q ~

IT] 00

Open: choosing ways of finding the answers a multiples of 3 a 54 b 30 c 48 d 81 e 48
which are in both:
b common multiples of 3, 6 and q f 78 g qq h 75 i q6
a the x 3 and x 6 tables (6, 12, 18, 24)
c not multiples of 3, 6 or q.
b the x 6 and x q tables. (18, 36, 54)
~ Challenge
Challenge
a 18,36,54, 72,qO True: the numbers are
Open: finding two multipliers which have the b 1 08, 126, 144, 162,
same effect as one multiplier: 180, lq8.
e.g. x2 and x5 ~ xl0, x3 and x3 ~ xq, 36 54 72 qO
x2 and x4 ~ x8, etc.