Consolidation questions 1 · fraction product
Find 3/4 × 1/4. Explain the overlapping partitions of one rectangle.
Great Inheritance Mathematics Term A · Independent learning
Practice B — Chapter 5
Consolidation target: Consolidate proper/mixed fractional multiplication and reciprocal reasoning.
Fresh problems from the immediately preceding lesson cluster. Show all work and attach correct units.
Consolidation questions
Consolidation questions 2 · fraction product
Find 2/3 × 1/5. Explain the overlapping partitions of one rectangle.
Consolidation questions 3 · fraction product
Find 1/2 × 4/5. Explain the overlapping partitions of one rectangle.
Consolidation questions 4 · fraction product
Find 3/4 × 5/6. Explain the overlapping partitions of one rectangle.
Consolidation questions 5 · fraction product
Find 3/4 × 3/5. Explain the overlapping partitions of one rectangle.
Consolidation questions 6 · fraction product
Find 1/2 × 2/5. Explain the overlapping partitions of one rectangle.
Consolidation questions 7 · mixed-number product
Calculate 1 3/5 × 1 1/5. Estimate before multiplying.
Consolidation questions 8 · mixed-number product
Calculate 3 4/5 × 2 4/5. Estimate before multiplying.
Consolidation questions 9 · changing whole
A workshop starts with 96 tiles. It uses 1/4 of its original tiles on a wall. It then uses 1/3 of the remaining tiles on a table. How many tiles go on the table?
Consolidation questions 10 · changing whole
A workshop starts with 48 tiles. It uses 1/4 of its original tiles on a wall. It then uses 1/3 of the remaining tiles on a table. How many tiles go on the table?
Consolidation questions 11 · reciprocal
Find the reciprocal of 3/4 and prove the product equals 1.
Consolidation questions 12 · reciprocal
Find the reciprocal of 11/5 and prove the product equals 1.
Representation and explanation
Use Consolidation Questions 1 and 2 above (not two questions of your choice). For Question 1 draw an overlapping two-direction partition of one rectangle. For Question 2 draw an overlapping two-direction partition of one rectangle. 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.