A school garden has 28 carrots in one bed and 37 carrots in another bed. Students plant 16 more carrots. How many carrots are there now?
Reasoning strategy
Add the two beds, then add the new carrots.
Difficulty Practice Guide
Hard Grade 2 Addition Word Problems
This page shows what hard practice should demand for grade 2 addition 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: 2-3 step problem solving.
Vocabulary load: medium with intentional distractors.
Reasoning depth: at least 2 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 book fair sold 45 books before lunch and 38 books after lunch. How many books were sold that day?
Reasoning strategy
Add two two-digit quantities with regrouping.
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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