∑ DANEMATHICS
FREE CAPS MATHS RESOURCES
Grade 8 · Patterns
Pattern Rules: In Words and in Algebra
WORKSHEET
Name:
Class:
Date:
Mark
/ 20
Answer all questions. Show all your working — marks are awarded for method as well as the final answer.
- 1Describe in words the rule for 4, 9, 14, 19, …(2)
- 2Determine the general rule (Tₙ) for 4, 9, 14, 19, …(2)
- 3Determine the general rule for 7, 12, 17, 22, …(2)
- 4Determine the general rule for 6, 11, 16, 21, …(2)
- 5Determine the general rule for 30, 26, 22, 18, …(2)
- 6For Tₙ = 4n + 3, find the 10th term.(2)
- 7For Tₙ = 6n − 2, find the 25th term.(2)
- 8Which term of 5, 9, 13, … equals 45?(2)
- 9Is 100 a term of the pattern 3, 7, 11, …? Show your working.(2)
- 10A pattern of matchsticks is 4, 7, 10, … Determine a rule for the number of sticks in shape n.(2)
TOTAL: 20 marks