Difficulty Practice Guide

Medium Grade 7 Ratios & Proportions Word Problems

This page shows what medium 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

Add one meaningful reasoning layer so students must plan before calculating.
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 medium 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

separate useful numbers from background details

2

complete a two-step setup

3

interpret the result with the correct unit

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

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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