Consolidation questions 1 · mixed-number addition
Add 3 1/4 + 2 1/4. Express the result as a simplified mixed number.
Singapore Math 5A · Independent learning
Practice B — Chapter 4
Consolidation target: Integrate adding and subtracting fractions and mixed numbers in original contextual tasks.
Fresh problems from the immediately preceding lesson cluster. Show all work and attach correct units.
Consolidation questions
Consolidation questions 2 · mixed-number addition
Add 3 1/8 + 2 1/8. Express the result as a simplified mixed number.
Consolidation questions 3 · mixed-number addition
Add 2 3/4 + 3 3/8. Express the result as a simplified mixed number.
Consolidation questions 4 · mixed-number addition
Add 2 3/4 + 3 1/4. Express the result as a simplified mixed number.
Consolidation questions 5 · mixed-number subtraction
Subtract 8 1/2 − 3 1/4. Explain any exchange needed.
Consolidation questions 6 · mixed-number subtraction
Subtract 8 3/4 − 1 1/4. Explain any exchange needed.
Consolidation questions 7 · mixed-number subtraction
Subtract 8 1/3 − 2 5/6. Explain any exchange needed.
Consolidation questions 8 · mixed-number subtraction
Subtract 8 1/8 − 2 1/2. Explain any exchange needed.
Representation and explanation
Use Consolidation Questions 1 and 2 above (not two questions of your choice). For Question 1 draw whole bars and equal-sized fractional pieces. For Question 2 draw whole bars and equal-sized fractional pieces. 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.