+ learner first aid

First five-year exam-intelligence layer for CSEE Basic Mathematics, mapping 2021-2025 extracted question leaves to the 2023 Mathematics syllabus topic registry.

First aid: treat these exam signals as revision guidance until a page says the mapping is reviewed.

+ Math syllabus context

Current Mathematics path is the active Basic Mathematics syllabus. The 2023 Mathematics syllabus is a transition path expected to take effect from January 2027; this wiki will update the lead path in late 2026.

Basic Mathematics 2021-2025 Topic Signals

Scope

This page summarizes the first question-to-syllabus mapping pilot for Mathematics. It uses exactly five Basic Mathematics Paper 1 JSON extraction artifacts: 2021, 2022, 2023, 2024, and 2025 (source: data/topic_frequency_2021_2025.json).

The mapping produced 191 answerable leaf question records, of which 147 received a conservative primary syllabus-topic mapping and 44 remained unmapped because the current heuristic pass could not assign a clean topic (source: data/topic_frequency_2021_2025.json).

All mappings remain unreviewed or flagged for manual review. This page is an intelligence layer for prioritization, not an official marking scheme or solution set.

Strongest Topic Signals

The highest-frequency mapped topics in the 2021-2025 pilot are:

| Rank | Topic | Form | Count | | ---: | --- | --- | ---: | | 1 | Exponents | Form II | 13 | | 2 | Similarity and Congruence | Form II | 11 | | 3 | Two-by-two matrices: operations, determinant, inverse, and transformations | Form IV | 11 | | 4 | Rates and variations | Form II | 10 | | 5 | Logarithms | Form II | 9 | | 6 | Sets, subsets, operations with sets, and Venn diagrams of two sets | Form II | 9 | | 7 | Ratios and proportions | Form I | 8 | | 8 | Approximations, rounding, significant figures, and decimal places | Form I | 7 |

These counts come from a conservative automatic mapping pass over extracted question leaves, so they should guide review priorities rather than final conclusions (source: data/topic_frequency_2021_2025.json).

Focused Exponents audit note: data/exponents_exam_signal_audit_2021_2025.json found that the raw Exponents count is inflated by false positives from degree notation such as 90^\circ and latitude/longitude coordinates. The corrected learner-page signal for Exponents currently uses 5 clean primary records, while the full mapping dataset remains unreviewed until the broader pipeline is revised.

Form Coverage

The pilot mapped 68 question leaves to Form II topics, 32 to Form IV topics, 24 to Form I topics, and 23 to Form III topics; 44 records remain unmapped (source: data/topic_frequency_2021_2025.json).

This first signal suggests that Form II content appears heavily in recent CSEE Basic Mathematics papers, at least under the current 2023 topic registry and automatic mapping rules (source: data/topic_frequency_2021_2025.json).

Hub Coverage

The highest hub-level signal is Algebra And Matrices with 56 mapped records, followed by Number Systems with 28, Coordinate Geometry with 27, Probability And Statistics with 16, Sets Sequences And Series with 15, and Trigonometry with 5 (source: data/topic_frequency_2021_2025.json).

The 44 unmapped records should be reviewed before treating these hub signals as stable.

Exam-Format Signals

The most frequent mapped exam-format group is format-041-spec-02, Exponents/Radicals/Logarithms, with 27 mapped records (source: data/topic_frequency_2021_2025.json; source: data/exam_format_topic_crosswalk_2022.jsonl).

The next strongest format groups are Statistics/Circles with 17 records, Sets/Probability with 14 records, Geometry/Perimeters and areas/Congruence and similarity with 14 records, Matrices and transformations with 11 records, and Linear Programming/Functions/Relations with 11 records (source: data/topic_frequency_2021_2025.json; source: data/exam_format_topic_crosswalk_2022.jsonl).

Review Queue

The pilot created 125 question-mapping review items because the system intentionally flags low-confidence mappings, multi-topic candidates, figure-dependent questions, table-dependent questions, missing marks, missing text, and questions without a clean topic match (source: data/review_queue_question_mapping.jsonl).

This large review queue is expected for the first pass. It protects the wiki from presenting heuristic classifications as verified truth.

Immediate Content Priorities

Based on this first signal, the next learner-facing pages worth enriching are Exponents, Similarity and Congruence, Two-by-two matrices: operations, determinant, inverse, and transformations, Rates and variations, Logarithms, and Sets, subsets, operations with sets, and Venn diagrams of two sets.

These pages should receive explanations, worked examples, common mistakes, and reviewed past-question links before lower-signal topics.

+ Related pages