Class 10 CDC Mathematics
Official Model Question Paper (Grade 10) with Complete Solution Guide
Based on CDC, Nepal Curriculum – Final Examination Pattern
📊 Exam Specification & Pattern
According to the CDC document, the Grade 10 Mathematics final exam follows this structure (Total Marks: 75, Time: 3 hours).
| Area | Knowledge | Understanding | Application | Higher Ability | Total Marks |
|---|---|---|---|---|---|
| Sets | 1 | 1 | 3 | 1 | 6 |
| Arithmetic | 2 | 3 | 5 | 3 | 13 |
| Mensuration | 2 | 3 | 5 | 3 | 13 |
| Algebra | 2 | 4 | 7 | 2 | 15 |
| Geometry | 2 | 3 | 5 | 3 | 13 |
| Statistics & Probability | 2 | 3 | 4 | 2 | 11 |
| Trigonometry | 1 | 1 | 1 | 1 | 4 |
| Total | 12 | 18 | 30 | 15 | 75 |
Exam Structure Details
- Total Questions: 16 questions from 49 total items
- Question Levels: Each area tested at Knowledge, Understanding, Application & Higher Ability levels
- Question Design: Integrative questions may link multiple mathematical areas
- Max Sub-questions: No question should have more than 2 sub-questions
📝 Sample Question from the Model Paper
Below is an example extracted from the official mathematics model question paper. The full paper contains more such questions from all mathematical areas.
A. Cardinality Notation (1 Knowledge mark)
If P, L and I denote the set of students who prefer Pokhara, Lumbini and Ilam respectively, write the cardinality notation of students for whom all places are suitable.
B. Venn Diagram (1 Understanding mark)
Show the above information in a Venn diagram.
C. Calculation (3 Application marks)
How many students are studying in grade 10 in the Sarada Secondary School? Calculate it.
D. Ratio Problem (1 Higher Ability mark)
If 5 students, who did not express their opinion in the survey had said Lumbini as a suitable place, then what would have been the ratio of students who considered only Pokhara was the suitable place and only Lumbini was the suitable place?
This section tests Sets and Venn Diagrams with problems at different cognitive levels as per the specification chart.
Full Paper Contains: More problems from Arithmetic, Algebra, Geometry, Mensuration, Statistics, Probability and Trigonometry with similar multi-level questioning approach.
💡 How to Prepare Using This Model Paper
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⭐ Key Topics to Focus
These are the most important topics you should focus on for your Class 10 Mathematics exam preparation based on the CDC model paper pattern and mark distribution.
🧮 Arithmetic (13 marks)
➗ Algebra (15 marks)
📐 Geometry & Mensuration (26 marks combined)
🎯 Exam Strategy for Mathematics
Time Allocation: Sets (5 min), Arithmetic (25 min), Algebra (30 min), Geometry (30 min), Mensuration (25 min), Stats/Prob (20 min), Trigonometry (5 min), Review (40 min)
Attempt Order: Start with your strongest topic to build confidence, then move to high-mark areas
Show All Steps: Even with wrong final answer, method marks can be awarded for correct steps
📘 Official Model Question Paper (PDF)
This is the exact PDF containing the full model question based on the latest CDC specification for Mathematics.
📥 Download Model Question Paper
Note: Contains exam pattern, specification chart, and sample questions in both Nepali and English.
✅ Complete Solution Guide (PDF)
This link directs you to the answer key and detailed solutions for all questions in the model paper.
Tip: Solve the paper yourself first, then compare with the solution to identify weak areas.
🔗 Quick Links & Resources
ℹ️ About This Resource
This model question paper is developed by the Curriculum Development Centre (CDC), Nepal specifically for Grade 10 Mathematics. It follows the official Test Specification Chart which allocates 75 marks across 7 mathematical areas with different cognitive levels (Knowledge, Understanding, Application, and Higher Ability).
The paper includes questions in both Nepali and English languages as per the national curriculum requirements. Use this as a blueprint for your exam preparation to understand the exact pattern, difficulty level, and question distribution. Class 10 CDC Math Model Question Class 10 CDC Math Model Question