Consolidation questions 1 · triangle area
A triangle has a 7 cm base and perpendicular inside height 10 cm. Calculate its area.
Singapore Math 5A · Independent learning
Practice B — Chapter 7
Consolidation target: Consolidate triangle and composite areas with units and proofs.
Fresh problems from the immediately preceding lesson cluster. Show all work and attach correct units.
Consolidation questions
Consolidation questions 2 · triangle area
A triangle has a 13 cm base and perpendicular inside height 5 cm. Calculate its area.
Consolidation questions 3 · triangle area
An obtuse triangle has a base extended past a vertex. The perpendicular outside height is 6 cm and the corresponding base is 7 cm. Find its area.
Consolidation questions 4 · triangle area
An obtuse triangle has a base extended past a vertex. The perpendicular outside height is 12 cm and the corresponding base is 6 cm. Find its area.
Consolidation questions 5 · composite area
A rectangular garden is 12 m by 7 m. A 5 m by 4 m rectangular corner is removed. Find the remaining area.
Consolidation questions 6 · composite area
A rectangular garden is 16 m by 12 m. A 2 m by 2 m rectangular corner is removed. Find the remaining area.
Representation and explanation
Use Consolidation Questions 1 and 2 above (not two questions of your choice). For Question 1 draw a base with a perpendicular altitude. For Question 2 draw a base with a perpendicular altitude. Label all quantities, include physical measurement units when they are part of the question, show which operation your model proves, and check the answers by an inverse calculation or a size estimate.