Plans & Models of the Physical World is one of 9 topics in the Grade 12 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 floor plan shows a building or room:
As viewed directly from above (a bird's eye view)
As viewed directly from one side (front, back, left, or right)
In full three-dimensional colour photography
Only as a written description with no diagram
Answer: As viewed directly from above (a bird's eye view) — A floor plan shows a building or room as viewed directly from above, a bird's eye view, showing walls, doors, windows and fixed features from that top-down perspective.
Easy
2. An elevation plan shows a building:
As viewed directly from one side, showing vertical features like wall height and the roofline
As viewed directly from above, showing only the floor layout
Only in numerical table form, with no diagram at all
As it will look after 50 years of weathering
Answer: As viewed directly from one side, showing vertical features like wall height and the roofline — An elevation plan shows a building as viewed from one side (front, back, left, or right), displaying vertical features such as wall height and the roofline that a floor plan cannot show.
Medium
3. A floor plan uses a scale of 1:100. A wall is measured as 6.5 cm long on the plan. What is the actual wall length, in metres? (6.5 cm x 100 = actual length in cm; convert to m by dividing by 100.)
Answer: 6.5 — Actual length = 6.5 cm x 100 = 650 cm. Converting to metres: 650 / 100 = 6.5 m.