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Mathematical Literacy · Grade 11 CAPS

Patterns, Relationships & Representations

Patterns, Relationships & Representations is one of 9 topics in the Grade 11 Mathematical Literacy CAPS syllabus, covered across 3 lessons on Study Vault. Below are real practice questions from this topic with full worked answers.

Sample practice questions

Easy

1. A pattern is given: 7, 11, 15, 19, ... What is the constant difference between consecutive terms?

Answer: 4 — Each term is 4 more than the previous term: 11-7=4, 15-11=4, 19-15=4, so the constant difference is 4.
Easy

2. A pattern is given: 2, 6, 18, 54, ... What is the constant ratio between consecutive terms?

Answer: 3 — Each term is 3 times the previous term: 6/2=3, 18/6=3, 54/18=3, so the constant ratio is 3.
Medium

3. A constant-difference pattern begins 8, 15, 22, 29, ... Using term = first term + (constant difference x (position - 1)), calculate the 10th term.

Answer: 71 — Constant difference = 7. Term 10 = 8 + (7 x (10-1)) = 8 + (7 x 9) = 8 + 63 = 71.
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