Civil Service Quantitative Reasoning Models and Formulas
A Chinese study note for civil-service quantitative reasoning, covering work-rate, distance, ratios, permutations, probability and profit models.
What this note is for
This note helps turn quantitative-reasoning wording into a checkable model. It groups work, distance, ratio, profit, permutations, combinations and probability questions, then separates variable definitions from formula selection. The focus is not on collecting formulas but on recognizing which model and unit the question actually uses.
Model and unit checks
Use the sequence quantity, relationship, constraint and verification. Work questions need a common total and efficiency unit; distance questions need a time line; ratios need a shared base; profit questions separate cost, price, discount and margin. Permutations require an order and repetition check, while probability requires a fixed sample space.
Timed-practice boundary
Record recognition time, setup time, calculation time and verification time. In a timed set, prioritize clear models, small calculations and choices with useful gaps. Mark multi-step counting problems for a later pass, then write whether the error came from modeling, units, conditions or arithmetic.
Maintenance note
This page was reviewed on 2026-08-23 against the catalog metadata, model topics and practice workflow. Exam timing and question mix should follow the current notice and paper.
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Quantitative reasoning model and formula practice
Classify the question, write variables and units, choose the shortest valid model and verify the result against the original conditions.
Before you start
- Use a Markdown reader.
- Review fractions, ratios, equations and basic geometry.
- Prepare timed questions and record recognition and calculation time separately.
Quick start
- 01
Browse by model
Mark work, distance, ratio, profit, permutations, combinations and probability sections, then choose one familiar model for a first test.
- 02
Extract the relationship
Circle totals, rates, speed, time, price and constraints, and rewrite the wording as an equation or inequality.
- 03
Select the shortest valid method
Check divisibility, a special value, substitution, a table or an equation before committing to a long calculation.
- 04
Review the trade-off
Record model recognition, formula choice and arithmetic errors, then decide whether the question is worth completing in a timed setting.
Usage tips
- Normalize work and efficiency units and distinguish meeting, chasing and return-trip relationships.
- For permutations, check order, repetition and adjacency before using a counting formula.
- Fix the sample space before defining the numerator event in a probability question.
Troubleshooting and uninstall
Why can the equation not be solved?
Recheck units and relationships, try a total or ratio variable, and avoid defining the same unknown twice.
How should time be allocated?
Do clear, low-calculation questions first, mark multi-step counting or work problems and return to them after the quick points are secured.
Frequently asked questions
Which quantitative topics are covered?
Work, distance, ratios, profit, permutations, combinations, probability and common equation models are included.
Should every quantitative question be calculated exactly?
No. Use special values, substitution, divisibility or estimation when the model and answer choices make a shorter reliable path possible.
Is it suitable for a complete beginner?
It works as a model and formula index, but beginners should also review fractions, ratios, equations and basic geometry.
What should be recorded during practice?
Keep recognition time, setup time, calculation time, verification result and the specific error condition for each question.