Difficulty Practice Guide
This page shows what hard practice should demand for grade 7 ratios & proportions 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
Student Work Signals
MathRoutine watches for whether the student understood the situation, wrote a useful setup, handled the calculation, and answered the exact question asked.
model hidden constraints or changed quantities
avoid tempting but incomplete first answers
explain why the final answer fits the original context
Sample Problems
A recipe uses 2 1/4 cups of flour for 3 batches. The baker already has 5 cups. After making 8 batches, how many more cups of flour does the baker need?
Reasoning strategy
Find the cups per batch, scale to 8 batches, then subtract the amount already available.
A map scale says 3 centimeters represents 14 kilometers. Two towns are 10.5 centimeters apart on the map. How far apart are the towns?
Reasoning strategy
Use a proportional relationship with fractional scale factor.
Why This Matters
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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