Mental Maths for Class 9: Mental Maths for Class 9 focuses on enhancing students' quick calculation skills, logical reasoning, and problem-solving abilities, covering topics in algebra, geometry, trigonometry, statistics, and arithmetic. Students learn to solve problems mentally without relying on calculators, strengthening their grasp of fundamental mathematical concepts.
The curriculum includes exercises on number systems, equations, factorization, and mathematical patterns, encouraging students to develop analytical skills and accuracy. By practicing mental maths, students improve speed and precision, essential for competitive exams and advanced studies. Regular practice builds confidence, promotes cognitive flexibility, and helps students excel in mathematical reasoning and application.Mental Maths for Class 9 Overview |
Number System |
Polynomial |
Coordinate Geometry |
Linear Equations in Two Variables |
Introduction to Euclid’s Geometry |
Lines and Angles |
Triangles |
Quadrilaterals |
Areas of Parallelograms |
Circles |
Constructions |
Heron’s Formula |
Surface Areas and Volumes |
Statistics |
Probability |
1. Master the Basics
Ensure the student is well-versed with basic arithmetic operations such as addition, subtraction, multiplication, and division. Practice tables (up to at least 20) and squares of numbers to make them quick with calculations.2. Use Mental Math Tricks
For Addition/Subtraction : Break numbers into tens and units (e.g., for 47 + 56, add 40 + 50 = 90, and then add 7 + 6 = 13, so the total is 103).
For Multiplication : Break large numbers into smaller factors (e.g., for 18 × 15, use (10 × 15) + (8 × 15) = 150 + 120 = 270).
For Division : Estimate the quotient first and then adjust (e.g., for 72 ÷ 8, guess the number close to 72 divisible by 8 and refine).
3. Practice Mental Calculation Techniques
Doubling and Halving : This helps with multiplication and division. For example, 16 × 5 can be transformed into 8 × 10 = 80.
Estimation : For more complex problems, students can estimate the answer first and adjust accordingly (useful for checking answers).
4. Work on Word Problems
Practice solving word problems without using a calculator. Start with easier ones and gradually increase difficulty. Focus on breaking the problem into manageable parts and applying basic math operations.5. Use Apps and Games
There are numerous apps like Photomath, Mental Math Master, or Mathemagics that help students improve mental calculation. These apps offer challenges and fun ways to practice. Online games like Math Bingo or Sudoku also help with number familiarity and quick mental calculation.6. Understand Patterns and Properties
Learning patterns like number sequences, properties of numbers (even, odd, prime, multiples), and divisibility rules can speed up mental math. Recognize patterns in multiplication tables (e.g., multiplying by 9 can be simplified using the rule: subtract the number from 10 times the number).7. Practice Regularly
Set aside time every day to practice mental math for at least 10-15 minutes. Consistent practice will improve both speed and accuracy. Use worksheets or mental math books tailored to Class 9 syllabus problems.8. Solve Previous Years’ Papers
Solving past year papers or sample papers helps students get used to the types of questions they might encounter in exams and improves their mental math strategies.