Class 10 CDC Optional Mathematics
📊 Exam Specification & Pattern
According to the CDC document, the Grade 10 Optional Mathematics final exam follows this structure (Total Marks: 75, Time: 3 hours).
| Contents | Knowledge (1 mark) | Understanding (2 marks) | Application (3 marks) | Higher Ability (4 marks) | Total Marks |
|---|---|---|---|---|---|
| 1. Algebra | 2 | 2 | 2 | 1 | 16 |
| 2. Limit and Continuity | 1 | 1 | 0 | 0 | 4 |
| 3. Matrix | 1 | 1 | 1 | 0 | 6 |
| 4. Coordinate Geometry | 2 | 1 | 1 | 1 | 11 |
| 5. Trigonometry | 2 | 2 | 3 | 0 | 15 |
| 6. Vectors | 1 | 1 | 1 | 0 | 7 |
| 7. Transformation | 1 | 0 | 1 | 1 | 8 |
| 8. Statistics | 0 | 0 | 2 | 1 | 8 |
| Total | 10 | 8 | 11 | 4 | 75 |
Question Distribution Summary
- Total Questions: 33 questions (10+8+11+4)
- Group A (1 mark): 10 questions × 1 mark = 10 marks
- Group B (2 marks): 8 questions × 2 marks = 16 marks
- Group C (3 marks): 11 questions × 3 marks = 33 marks
- Group D (4 marks): 4 questions × 4 marks = 16 marks
📝 Sample Question from the Model Paper
Below is an example extracted from the official Optional Mathematics model question paper. The full paper contains more such questions from all units.
Group A: Very Short Answer Questions (1 mark each)
1. Define trigonometric function.
2. What is arithmetic mean between two numbers a and b?
3. Write the name of the set of numbers which is continuous.
4. If matrix A = [[a, b], [c, d]], what is the value of |A|?
Group B: Short Answer Questions (2 marks each)
11. If 2x³ – 7x² + x + 10 = (x-1)Q(x) + R, find the remainder R and quotient Q(x).
12. Write down the inequality represented by the shaded region in the adjoining figure.
Group C & D: Long Answer Questions (3 & 4 marks)
The full paper contains 11 questions of 3 marks and 4 questions of 4 marks from advanced topics.
This paper tests different cognitive levels through various question types and marks distribution.
💡 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 Optional Mathematics exam preparation based on the CDC model paper pattern.
🎯 Exam Strategy
Time Allocation: Group A (20 min), Group B (35 min), Group C (70 min), Group D (35 min), Review (40 min)
Attempt Order: Start with Group A for quick marks, then Group C (highest marks), then Group B & D
📘 Official Model Question Paper & Solution
This page provides direct links to download the official Grade 10 Optional Mathematics Model Question Paper published by CDC, Nepal, along with complete solution guide.
📘 Official Model Question Paper (PDF)
This is the exact PDF you provided, containing full model question based on latest CDC specification.
📥 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 answer key and detailed solutions for all questions in model paper.
Tip: Try solving paper yourself first, then use this guide to evaluate performance.
🔗 Quick Links & Resources
ℹ️ About This Resource
This model question paper is developed by the Curriculum Development Centre (CDC), Nepal specifically for Grade 10 Optional Mathematics.
It follows the official Test Specification Chart which allocates 75 marks across 8 mathematical areas with different cognitive levels (Knowledge, Understanding, Application, and Higher Ability).
The paper includes questions in both Nepali and English languages as per 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 Optional Math Model Question Class 10 CDC Optional Math Model Question
Class 10 CDC Model Questions with Solutions
Compulsory Subjects
Optional I
Optional II