#cbse sample papers

CBSE Sample Papers

Introduction

Maths can be one of the most scoring subjects in the CBSE Class 10 Board Exams—if you know how to solve problems quickly and accurately. Many students find Maths challenging, but with the right CBSE Class 10 Maths tricks and smart techniques, you can save time, avoid silly mistakes, and boost your confidence.

In this blog, you’ll discover powerful problem-solving tips, easy calculation tricks, and how online classes for Class 10 can help you master Maths in a smarter way.

1. Understand the Syllabus and Weightage

Before learning shortcuts, it’s important to understand what to focus on. The CBSE Class 10 Maths syllabus includes chapters like:

Real Numbers

Polynomials

Pair of Linear Equations in Two Variables

Quadratic Equations

Arithmetic Progressions

Triangles

Coordinate Geometry

Trigonometry

Statistics and Probability

Chapters like Trigonometry, Quadratic Equations, and Pair of Linear Equations often carry high marks — so learning tricks for these will save a lot of time in exams.

2. CBSE Class 10 Maths Tricks for Quick Calculation

a. Squaring Numbers Ending with 5

A quick trick to square numbers ending in 5:

(35)2=3×4∣25=1225(35)^2 = 3 × 4 | 25 = 1225(35)2=3×4∣25=1225

👉 Multiply the first digit by its next number (3×4=12) and write 25 at the end.

b. Multiplying Two-Digit Numbers

For example, 42×4842 × 4842×48: Take 45 (average) → subtract and add 3. Now:

(45)2−32=2025−9=2016(45)^2 - 3^2 = 2025 - 9 = 2016(45)2−32=2025−9=2016

This trick is helpful in quadratic and algebraic problems.

c. Divisibility Shortcuts

Divisible by 3 → Sum of digits divisible by 3.

Divisible by 4 → Last two digits divisible by 4.

Divisible by 9 → Sum of digits divisible by 9.

Divisible by 11 → Difference between sum of odd and even places divisible by 11.

Memorize these rules for Real Numbers chapter.

d. Square Root Trick (for Perfect Squares)

If a number ends in 6, its square root will end in 4 or 6. Example: 576→576=24576 → \sqrt{576} = 24576→576​=24

These tricks make calculation faster during multiple-choice and one-mark questions.

3. Algebra Tricks for Class 10 Maths

i. Sum and Product Trick for Quadratic Equations

For ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0:

Sum of roots=−ba,Product of roots=ca\text{Sum of roots} = -\frac{b}{a}, \quad \text{Product of roots} = \frac{c}{a}Sum of roots=−ab​,Product of roots=ac​

You can use this instead of solving every equation through the quadratic formula.

ii. Factorization Shortcut

If ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0, find two numbers whose sum = b and product = ac — helps in quick factorization.

Example: x2+5x+6=0x^2 + 5x + 6 = 0x2+5x+6=0 Sum = 5, Product = 6 → Factors (x+2)(x+3)=0 → x = -2, -3

4. Geometry and Trigonometry Tricks

a. Pythagoras Triples

Memorize common triples for fast calculation:

3, 4, 5

5, 12, 13

7, 24, 25 Use them in Triangles and Trigonometry problems.

b. Trigonometric Ratios at Special Angles

Angle

sin

cos

tan

0°

0

1

0

30°

1/2

√3/2

1/√3

45°

1/√2

1/√2

1

60°

√3/2

1/2

√3

90°

1

0

∞

Memorize this table — it helps solve Trigonometric Identities instantly.

5. Time-Saving Tips for CBSE Maths Exam

Step 1: Attempt simple questions first to build confidence.

Step 2: Don’t spend more than 3 minutes per question initially.

Step 3: Show all steps clearly for full marks.

Step 4: Always recheck calculations in the last 15 minutes.

Step 5: Underline final answers neatly.

Remember: CBSE examiners give marks for correct steps, not just the final answer.

6. Benefits of Online Classes for Class 10 Maths

Enrolling in online classes for Class 10 can make learning Maths faster and easier than ever.

Advantages:

Learn shortcuts and tricks from expert teachers.

Watch topic-wise video lectures anytime.

Access chapterwise quizzes and tests.

Get doubt-clearing sessions in real time.

Save travel time and study at your own pace.

Platforms like Fukey Education and other e-learning sites offer interactive and exam-focused online classes that include CBSE Class 10 Maths tricks explained step-by-step.

7. Practice Regularly

Mathematics is about consistency. The more you practice, the faster you get. Follow this routine:

Practice 5–10 sums daily from each chapter.

Attempt previous year question papers weekly.

Solve CBSE sample papers under timed conditions.

Analyze your mistakes and improve speed gradually.

Conclusion

Mastering CBSE Class 10 Maths tricks isn’t about memorizing formulas — it’s about learning to think smartly. Combine these shortcuts with daily practice and guidance from online classes for Class 10, and you’ll be able to solve problems quickly, accurately, and confidently during exams.

Arihant Publication I Succeed books offer meticulously crafted study materials designed to aid students in mastering the exam syllabus. With expert tips and a structured approach, these guides simplify learning. Get exclusive insights from Arihant experts on how to maximise your scores.

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Together with CBSE Sample Paper, Social Science has been designed as per the special scheme of assessment vide CBSE Circular No. 75/2021 for Term 1 ( For 2021 Nov-Dec Examination ) for Class 10 has been prepared as per the latest assessment pattern. 

Together with EAD Social Science Sample Paper (with answers) is a perfect step-by-step approach to ensure one’s readiness for Term 1 board examination. This Sample Paper for Class 10 assists the students with the right practice and approach to the newest MCQ pattern. 

EAD—Easy, Average, Difficult 

The content matter in this EAD 12+1 Social Science Sample Paper Class 10 has been arranged as complete papers with three levels of difficulty—Easy, Average and Difficult (EAD). 

Easy: The first set of papers in this CBSE Sample Paper 2021 is based on 'Easy' concept, thus contains Multiple Choice Questions of simple level, which a student can attempt at the beginning of the preparatory stage. 

Average: The next set based on 'Average' concept (MCQs) is graded to a level of difficulty to test mid-level preparedness for the examination. 

Difficult: The challenging papers allocated to the third set based on 'Difficult' concept are a test of complete preparedness for the examination. 

The EAD sample paper is a self-test drive for the students. 

Key Features 

This Sample Paper includes:

CBSE (2021-2022) Term 1 Sample Paper. 

3 Sample Papers each of Easy, Average & Difficult level. 

2 Pre-Board Papers based on CBSE pattern. 

1 Mock Paper Based On CBSE Pattern with OMR Sheet. 

Includes Assertion Reasoning and Case-Based Objective Type Questions. 

The 4-Step Process 

Step 1 The students are advised to attempt the set of EASY Papers first and obtain at least 80% marks to move onto the next set of papers which is Average. 

Step 2 If the student obtains 75% marks in the AVERAGE category of this EAD 12+1 Social Science Sample Paper Class 10, he/she can switch to the next category, i.e., Difficult. 

Step 3 If 70% marks in DIFFICULT category have been obtained, the students are expected to take the PRE-BOARD PAPERS that are exactly based on the CBSE pattern. 

Step 4 Attempt the MOCK PAPER (given at the end) for a final-go for your board exam preparations. 

Why EAD Latest Sample Papers? 

Learning gets strengthened with practice and its evaluation uplifts the preparation. The answers of the MCQs have been given at the end of each Sample Paper for evaluation purposes. The CBSE Sample Papers for class 10 All Subjects 2021-2022 have been prepared by a panel comprising experienced teachers, tabulators and examiners, who have jointly come up with a student-friendly approach to prepare the students for the forthcoming CBSE Board Examination. Repetitive practice of CBSE Sample Papers for class 10 All Subjects 2021-2022 will surely help the students to make their mark in the CBSE Board Examination.