Ace Your ICSE Class 10 Maths Board 2026: The Ultimate 50-Question Mock Test

 

The countdown to the ICSE 2026 Board Exams has officially begun. As you navigate through the Special Intensive Revision period, nothing beats the confidence of knowing you are ready.

At Prime Maths, we believe that practice isn't just about solving problems—it's about simulation. That is why we have curated this comprehensive 50-mark MCQ Mock Test. Designed strictly according to the latest ICSE syllabus, this test covers every critical chapter, from Commercial Mathematics to Probability.

Why Take This Mock Test?

1. Full Syllabus Coverage: We test your grasp on GST, Banking, Shares, Algebra, Geometry, Mensuration, Trigonometry, and Statistics.

2. Time Management: With 50 questions, this quiz simulates the pressure of the real exam hall.

3. Instant Feedback: No waiting for a teacher to grade it. Click "Submit" and get your score immediately.

4. Identify Weak Spots: Find out instantly if you need to revise Circles or if you've already mastered Matrices.

Instructions

• Total Questions: 50

• Time Recommended: 90 Minutes

• Passing Score: 40% (But aim for 90%!)

• Note: Keep a notebook and pen ready. Do not guess! Solve the problems on paper before selecting your option.

📊 Quiz Features:

• 50 carefully curated MCQs

• Instant scoring and feedback

• Progress saving (your answers are saved automatically)

• Performance analysis after submission

• No login required

ICSE Maths Pre-Board 2026 Quiz

Test your knowledge with these 50 MCQs

PRIME MATHS

Instructions: Select one answer per question. Click "Submit" at the end to see your score.

Questions: 50 Pass Score: 40%

Question 1 of 50

Results

Score: 0/50 (0%)

Practice quiz for ICSE Class 10 Maths Pre-Board Exam 2026. © Prime Maths

CBSE Maths Pre-Board Exam 2026: Top 50 MCQs with Interactive Test

 

About This Practice Quiz

This collection covers essential topics from the CBSE Class 10 Maths syllabus, including Number Systems, Polynomials, Coordinate Geometry, Trigonometry, Circles, Probability, and more. The questions have been carefully selected to reflect the types of problems you'll encounter in your board examination.

📊 Quiz Features:

• 50 carefully curated MCQs

• Instant scoring and feedback

• Progress saving (your answers are saved automatically)

• Performance analysis after submission

• No login required

Additional Resources for Preparation

• NCERT Solutions: Solve all NCERT exercises thoroughly

• Sample Papers: Practice with CBSE sample papers

• Formula Sheets: Create topic-wise formula revision sheets

• Important Questions: Focus on frequently asked questions from each chapter

Remember: The key to scoring well in Mathematics is consistent practice and clear conceptual understanding. Use this quiz as a tool to identify your strengths and weaknesses, then focus your study efforts accordingly.

Happy studying and all the best for your pre-board exams!

Maths Pre-Board 2026 Quiz

Test your knowledge with these 50 MCQs ©PRIME MATHS

Instructions: Select one answer per question. Click "Submit" at the end to see your score.

Questions: 50 Pass Score: 60%

Question 1 of 50

Results

Score: 0/50 (0%)

Practice quiz for CBSE Class 10 Maths Pre-Board Exam 2026. © PRIME MATHS

Trigonometry, Probability and Statistics 90 Difficult Problems CBSE, ICSE Class X

 

📘 Mastering Trigonometry, Probability & Statistics for Class X CBSE & ICSE Boards

Board exams are around the corner, and three chapters that always carry high weightage in Class X Mathematics are Trigonometry, Probability, and Statistics. These topics not only appear every year but also form the base for higher classes.

To help you practice effectively, here’s a comprehensive 90-question problem sheet covering all major types of problems that can be asked in your board exams.

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🔹 Why Focus on These Topics?

• Trigonometry: Around 8–10 marks every year (Identities, Heights & Distances).

• Probability: 4–6 marks, usually simple but tricky MCQ-type.

• Statistics: 8–10 marks (Mean, Median, Mode, Graphs, Ogive, Histogram).

That means almost 25% of your math exam comes directly from these three chapters!

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🟦 1. Trigonometry Section (Q.1–30, 71–90)

This section begins with basic identities and proofs like:

• Proving trigonometric identities (Q.1–20).

• Higher-level simplifications involving sec, tan, and cot (Q.21–30).

• Word problems on Heights & Distances (Q.71–90), including angles of elevation, depression, aeroplane problems, and applications with towers and buildings.

👉 Tip: Always draw a rough figure in height & distance problems; 50% of the solution comes just from a correct diagram.

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🟩 2. Probability Section (Q.31–50)

The probability section has a mix of dice, coins, cards, and real-life examples:

• Simple dice problems (Q.31–33, 37–38).

• Coin toss problems (Q.39–40).

• Playing cards (Q.35, Q.48).

• Real-world word problems with marbles, ice creams, tickets, etc.

👉 Tip: Always remember

$$P(E) = \frac{\text{Favourable Outcomes}}{\text{Total Outcomes}}$$

and carefully check whether the problem is "or" (union) or "and" (intersection) type.

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🟥 3. Statistics Section (Q.51–70)

This section covers:

• Mean, Median, Mode (Q.51–59, Q.67–69).

• Ogives & Histograms (Q.60–64).

• Word problems with real-life data (Q.65–70).

👉 Tip:

• Use step-deviation method for quicker calculation of mean.

• Median = value of $\frac{N}{2}$-th observation (learn how to locate it correctly in cumulative frequency tables).

• For graphs, label your axis neatly—marks are often lost for presentation.

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📌 How to Use This Problem Sheet?

1. Start with Trigonometric Identities → They sharpen algebraic manipulation skills.

2. Move to Probability → These are quick, scoring questions.

3. Finish with Statistics → Practice graphs separately for neatness and accuracy.

4. Solve at least 10 questions daily from the sheet.

5. Time yourself as if in an exam.

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🌟 Final Words

This 90-question sheet is a perfect revision package for Class X boards. If you can solve these confidently, you’ll be exam-ready for all tricky variations.

📌 Pro Tip: Practice without looking at the answers first, then cross-check.

💡 Consistency is the key—solve 3–5 questions every day and revise formulas daily.

CHAPTER TEST - ICSE MATHEMATICS - Probability, Quadratic Equations, Factorisation, and Trigonometry:

 "TEST – ICSE MATHEMATICS - X", which covers topics in Probability, Quadratic Equations, Factorisation, and Trigonometry:

🧮 Topics Covered

• Probability:

  • Calculating probabilities based on card draws and coin tosses.
  • Real-life scenarios like games and playing cards used to frame questions.

• Quadratic Equations:

  • Solving quadratic equations.
  • Finding conditions for real and equal roots.
  • Application-based problems involving area and tile dimensions.

• Factorisation:

  • Using factor theorem to find unknown coefficients.
  • Polynomial division and complete factorisation.

• Trigonometry:

  • Proving identities involving cotangent, tangent, sine, cosine, secant, and cosecant.
  • Complex expressions simplified to standard trigonometric identities.

📝 Sample Questions

• Probability of winning different prizes based on number card properties.
• Proving trigonometric identities like: [ \frac{(\cot A + \tan A - 1)(\sin A + \cos A)}{\sin^3 A + \cos^3 A} = \sec A \cdot \csc A ]
• Solving and factorising polynomials such as: [ 2x^3 - 7x^2 + kx - 2 \quad \text{(given that } x - 2 \text{ is a factor)} ]
• Finding the value of ( x ) in a tile-based floor problem.
• Probability of drawing a specific card from a reduced deck.

⏱️ Format

• Total Marks: 40
• Duration: 1 hour 30 minutes
• Each question is marked individually, ranging from 1 to 4 marks.

HARDER PROBLEMS FOR CLASSES VIII- X Algebra

This collection is designed for secondary school students (Classes VIII–X) preparing for Math Olympiads and competitive exams. It brings together a variety of challenging algebra problems that go beyond routine textbook exercises and test deeper understanding, creativity, and problem-solving skills.

👉 Key Features of the Set

• Classical Identities – Problems based on famous results such as Sophie Germain’s identity.

• Equation Manipulation – Creative use of algebraic transformations and substitutions.

• Inequalities & Rationalization – Strengthening algebraic reasoning with proofs and simplifications.

• Number Theory Links – Problems connecting algebra with concepts of divisibility and composite numbers.

• Summations & Series – Telescoping series and rational number expansions.

• Olympiad Flavor – Each problem is selected to stimulate lateral thinking and develop advanced techniques.

This set not only sharpens algebraic manipulation but also trains students to recognize patterns, symmetry, and hidden structures in problems—an essential skill for Olympiads and higher-level mathematics.

CHAPTER TEST – ICSE Mathematics – Class X - Inequality, Ratio and Proportion, Section Formula, and Banking

Title: TEST – ICSE Mathematics – Class X

Chapters Covered: Inequality, Ratio and Proportion, Section Formula, and Banking
Full Marks: 40
Time: 1 hour 30 minutes

Structure:

• Total Questions: 15

• Marks Distribution:

  • Questions 1–6: Short answer, 1 mark each (concept recall and direct application).

  • Questions 7–8: Short problems, 3 marks each (multi-step reasoning).

  • Questions 9–15: Long problems, 4 marks each (detailed computation or proof).

Topics Tested:

• Solving and representing inequalities on a number line

• Ratios, continued proportion, fourth proportion

• Coordinate geometry: section formula, trisection points, centroid

• Proportion and algebraic identities (Componendo and Dividendo)

• Banking applications: recurring deposit calculations

• Determining numbers to make quantities proportional

Format:

• Mix of fill-in-the-blank, solve-and-show, and prove type questions

• Some require graphical representation of inequalities on a number line

• Involves both theoretical proofs and practical application problems

Madhyamik WBSSE Board Mathematics Question Paper

 Are you preparing for the Madhyamik Mathematics Board Exam? We've got you covered! 🎯 In this video, we provide a complete step-by-step solution to the official board question papers. This will help you understand the best methods to solve tricky problems, manage time effectively, and score higher in your exams.

🔹 What you'll learn in this video: ✅ Full solutions to all questions ✅ Easy and shortcut methods for quick solving ✅ Important formulas and concepts ✅ Common mistakes to avoid ✅ Time management strategies for the exam 🚀 Boost your confidence and ace the exam! Don't forget to like, share, and subscribe for more educational content. 🎓📚 🔔 Stay tuned for more board exam tips & solution

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Madyamik Mathematics Board Paper 2025

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ICSE MATHEMATICS BOARD QUESTION PAPER 2025

ICSE Mathematics 2025 Board Exam with our detailed analysis of the question paper! This blog provides step-by-step solutions, expert tips, and strategic insights to help you tackle every section of the exam with confidence. Whether you're looking to master quadratic equations, understand probability, or solve complex geometry problems, we’ve got you covered. Stay updated with the latest trends, important topics, and frequently asked questions to ensure you’re fully prepared for the big day. Ace your ICSE Mathematics 2026 exam with our expert guidance and practice resources!

Analysis of the ICSE Mathematics 2025 Board Question Paper:

The ICSE Mathematics 2025 question paper is divided into two sections: Section A (40 marks) and Section B (40 marks). Students are required to attempt all questions from Section A and any four questions from Section B. The paper is designed to test a wide range of mathematical concepts, including algebra, geometry, trigonometry, probability, and statistics.

Key Features of the Paper:

1. Section A (Compulsory):

   • Question 1 consists of 15 multiple-choice questions (MCQs) covering topics like quadratic equations, probability, matrices, geometry, and arithmetic progressions. These questions test fundamental concepts and require quick, accurate responses.

   • Question 2 and Question 3 involve problem-solving and application-based questions, including solving quadratic equations, calculating interest in recurring deposits, and proving geometric theorems. These questions require clear working steps and logical reasoning.

2. Section B (Optional - Attempt any 4 questions):

   • This section includes higher-order thinking questions that test deeper understanding and application of concepts. Topics include:

     • Algebra: Solving inequalities, arithmetic progressions, and polynomial factorization.

     • Geometry: Constructions, similarity of triangles, and properties of circles.

     • Trigonometry: Proving trigonometric identities and solving problems using trigonometric ratios.

     • Mensuration: Calculating surface areas and volumes of composite shapes like capsules.

     • Statistics and Probability: Drawing histograms, finding mean and median, and calculating probabilities.

     • Graphical Problems: Plotting points, reflecting shapes, and analyzing graphs.

3. Difficulty Level:

   • The paper is moderately challenging, with a mix of straightforward MCQs and complex problem-solving questions.

   • Section A is relatively easier, focusing on basic concepts, while Section B requires more analytical thinking and application of concepts.

4. Marking Scheme:

   • Marks are allocated based on the complexity of the questions, with detailed working required for full credit.

   • Rough work must be shown clearly, and omission of essential steps can lead to loss of marks.

5. Key Topics to Focus On:

   • Algebra: Quadratic equations, polynomials, and arithmetic progressions.

   • Geometry: Circle theorems, similarity of triangles, and constructions.

   • Trigonometry: Identities and angle calculations.

   • Mensuration: Surface areas and volumes of 3D shapes.

   • Statistics and Probability: Mean, median, histograms, and probability calculations.

6. Time Management:

   • Students should allocate 15 minutes to read the paper and plan their approach.

   • Section A should be completed within 60-75 minutes, leaving the remaining time for Section B.

Conclusion:

The ICSE Mathematics 2025 paper is well-balanced, testing both conceptual understanding and problem-solving skills. Students should focus on practicing a variety of problems, especially in algebra, geometry, and trigonometry, to perform well. Time management and clear presentation of working steps are crucial for scoring high marks.