Exam-style question
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Which response best matches the A-level Maths objective on decompose rational functions into partial fractions?.
- A.B10: choose the method that matches Decompose rational functions into partial fractions
- B.Use any familiar GCSE calculation even if it ignores Decompose rational functions into partial fractions
- C.Write only the final answer without showing the mathematical method
- D.Change the notation or restrictions to make the algebra look simpler
Model answer
What a good answer should say
- The correct answer is B10: choose the method that matches Decompose rational functions into partial fractions.
- This option is best because choose the correct partial-fraction form before solving for constants, then checks that the notation, restrictions and conclusion match the AQA A-level Mathematics objective.
This answer is tied to the objective: B10 Decompose rational functions into partial fractions, with denominators not more complicated than squared linear terms and with no more than three terms, and numerators constant or linear..
Explanation
Why this works
Use the explanation to connect the worked answer back to B10 Decompose rational functions into partial fractions, with denominators not more complicated than squared linear terms and with no more than three terms, and numerators constant or linear..
B10: choose the method that matches Decompose rational functions into partial fractions is the correct option. It directly supports decompose rational functions into partial fractions by requiring the student to choose the correct partial-fraction form before solving for constants.
The other options are weaker because they hide the reasoning, ignore restrictions, or use a generic calculation that may not fit the objective.
Maths method check
- Topic focus: Pure Mathematics.
- Question style: practice.
- Reasoning demand: recall.
- Check the operation, notation, units, and final answer form against the question before moving on.
Common mistake
No common mistake is linked to this question yet.