Patterns, Relationships & Representations is one of 9 topics in the Grade 10 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 delivery company charges a flat fee of R60, no matter how many parcels are delivered in one trip. What type of relationship is this between number of parcels and the fee charged?
A constant relationship
A direct proportion relationship
An inverse proportion relationship
There is no relationship at all
Answer: A constant relationship — Since the fee (R60) never changes regardless of the number of parcels, this is a constant relationship.
Easy
2. A pattern of input-output values shows: input 1 gives output 5; input 2 gives output 10; input 3 gives output 15. Following this pattern, what output would input 5 give?
Answer: 25 — The rule is output = input x 5. For input 5: 5 x 5 = 25.
Medium
3. A table shows: 2 workers take 12 days to finish a job; 4 workers take 6 days; 6 workers take 4 days. What type of relationship connects the number of workers and the number of days?
An inverse proportion relationship, since more workers means fewer days needed
A direct proportion relationship, since more workers means more days needed
A constant relationship, since the number of days never changes
There is not enough information to identify any relationship
Answer: An inverse proportion relationship, since more workers means fewer days needed — As the number of workers increases, the number of days decreases (2x12=24, 4x6=24, 6x4=24 -- the product stays constant), which is the definition of an inverse proportion relationship.
