∑ DANEMATHICS
FREE CAPS MATHS RESOURCES
Grade 9 · Patterns
Number Patterns: Finding and Using the Rule
WORKSHEET
Name:
Class:
Date:
Mark
/ 20
Answer all questions. Show all your working — marks are awarded for method as well as the final answer.
- 1Find the rule for 7, 10, 13, 16, … (find rule)(2)
- 2Find the rule for 2, 6, 10, 14, … (find rule)(2)
- 3For Tₙ = 5n + 1, find the 10th term. (far term)(2)
- 4Find the 100th term of 4, 7, 10, … (far term)(2)
- 5Which term of 4, 7, 10, … equals 100? (work back)(2)
- 6Which term of 5, 9, 13, … equals 81? (work back)(2)
- 7Find the rule for 30, 25, 20, 15, … (decreasing)(2)
- 8Find the rule for 12, 9, 6, 3, … (decreasing)(2)
- 9The tile pattern below grows in the same way each time. Determine a rule for the number of tiles in the n-th term.(2)
- 10Is 45 a term of 3, 7, 11, …? (check)(2)
TOTAL: 20 marks