1 Press Ctrl-A ©G Dear 2008 – Not to be sold/Free to use General Number Patterns Stage 6 - Year 11 General Mathematics Preliminary

2 Does the pattern increase (or decrease) by a given factor? General Number Pattern 1/5 A number pattern is a series of numbers that obeys a rule. Questions to ask. Does the pattern increase (or decrease) by a given amount? Add Subtract MultiplyDivide

3 General Number Patterns 2/5 7, 11,15, 19,... Does the pattern increase (or decrease) by a given amount? Yes

4 23,27. General Number Patterns 2/5 7, 11,15, 19,... By how much? 11 – 7 = – 11 = – 15 = +4 Rule Start at 7: add 4 The next two numbers are …

5 General Number Patterns 3/5 27, 25,23, 21,... Does the pattern increase (or decrease) by a given amount? Yes

6 19,. 17. General Number Patterns 3/5 By how much? 25 – 27 = – 25 = – 23 = -2 Rule Start at 27: minus 2 The next two numbers are … 27, 25,23, 21,..

7 General Number Patterns 4/5 3, 6,12, 24,... Does the pattern increase (or decrease) by a given amount? No!

8 General Number Patterns 4/5 3, 6,12, 24,... Does the pattern increase (or decrease) by a given factor? Yes !

9 48,. 96. General Number Patterns 4/5 By what factor? 6 ÷ 3 = 2 12 ÷ 6 = 2 24 ÷ 12 = 2 Rule Start at 3: times 2 The next two numbers are ….. 3, 6,12, 24,

10 General Number Patterns 5/5 32, 16,8, 4,... Does the pattern increase (or decrease) by a given amount?

11 Yes! General Number Patterns 5/5 Does the pattern increase (or decrease) by a given factor? 32, 16,8, 4,...

12.2,. 1. General Number Patterns 5/5 By what factor? 16 ÷ 32 = ÷ 16 = ÷ 8 = Rule Start at 32: divide by 2 The next two numbers are …. 32, 16,8, 4, x0.5 (1/2) (1/2) is the same as ÷2