Each tray holds 24 muffins. A bakery fills 7 trays and has 9 extra muffins. How many muffins are there altogether?
Reasoning strategy
Multiply equal groups, then add the extra amount.
Difficulty Practice Guide
Hard Grade 6 Multiplication Word Problems
This page shows what hard practice should demand for grade 6 multiplication word problems. The goal is not a larger worksheet. The goal is to make the student's reasoning visible enough to choose the next better problem.
What Changes At This Difficulty
Stress-test transfer: multi-step structure, constraints, distractors, or reverse reasoning.
Expected structure: 3-4 step problem solving.
Vocabulary load: high with intentional distractors.
Reasoning depth: at least 3 relationship layers.
Student Work Signals
A good hard problem should expose the bottleneck
MathRoutine watches for whether the student understood the situation, wrote a useful setup, handled the calculation, and answered the exact question asked.
1
model hidden constraints or changed quantities
2
avoid tempting but incomplete first answers
3
explain why the final answer fits the original context
Sample Problems
A reading challenge gives 15 points for each book finished. Nia finished 8 books and then earned 12 bonus points. How many points did she earn?
Reasoning strategy
Model 8 equal groups of 15, then add the bonus.
Why This Matters
The paid value is diagnosis, not answer lookup
Basic gives repeated targeted practice. Pro becomes useful when the student needs help understanding wording, recovering the setup, or seeing the same misconception return across attempts.
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