∑ DANEMATHICS
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Grade 8 · Patterns
Extending Numeric & Geometric Patterns
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/ 18
Answer all questions. Show all your working — marks are awarded for method as well as the final answer.
- 1Write the next three terms: 6, 11, 16, 21, …(2)
- 2Write the next three terms: 45, 38, 31, 24, …(2)
- 3Write the next three terms: 3, 9, 27, 81, …(2)
- 4Write the next three terms: 160, 80, 40, 20, …(2)
- 5Write the next two terms: 1, 4, 9, 16, 25, …(2)
- 6Write the next two terms: 1, 3, 6, 10, 15, …(2)
- 7Write the next two terms: 1, 1, 2, 3, 5, 8, …(2)
- 8A pattern of tiles gives 5, 9, 13, … How many tiles in the 5th shape?(2)
- 9Is 2, 6, 18, 54 a constant-difference or constant-ratio pattern? Give the value.(2)
TOTAL: 18 marks