How Can I Solve Maths Questions Faster Using Tricks?
The concept of Maths Tricks plays a key role in mathematics and is widely applicable to both real-life situations and exam scenarios. Learning handy shortcuts and clever mental math techniques can boost your calculation speed, accuracy, and confidence — whether you're solving sums at school, preparing for competitive exams, or doing quick calculations in daily life.
What Is Maths Tricks?
A Maths Trick is a simple shortcut or method that helps you perform mathematical calculations faster and more easily. You’ll find this concept applied in areas such as mental math, quick multiplication and division, and fast solving of arithmetic or algebraic questions. These tricks often break complex processes into easy, memorable steps.
Why Learn Maths Tricks?
Here are some great reasons to master Maths Tricks:
- Save valuable time during school tests and competitive exams.
- Increase calculation accuracy while minimizing silly mistakes.
- Build confidence with mental math and number sense.
- Make math learning fun and engaging for kids and adults alike.
- Develop logical thinking and flexible approaches to problem solving.
Basic Maths Tricks for Quick Calculations
Let’s look at a few core maths tricks that anyone can learn and use:
| Trick Name | How It Works (Example) |
|---|---|
| Multiplying by 11 | 23 × 11: Add the digits (2+3=5), place between them. 253 |
| Squaring Numbers Ending in 5 | 65 × 65: (6×7)=42, so answer is 4225 |
| Fast Addition | Instead of adding 49+38, do 49+1=50, 38-1=37, so 50+37=87 |
| Multiplying Close to 100 | 96×98: (100-96=4)(100-98=2), 96-2=94; 4×2=8; answer is 9408 |
Popular Vedic Maths Tricks
Vedic Maths Tricks are ancient Indian calculation shortcuts that simplify even tough sums. Here are two commonly used Vedic strategies:
- Vertically and Crosswise Multiplication: Multiply large numbers by splitting into parts and combining stepwise. Great for multiplying two- and three-digit numbers.
- All from 9 and the Last from 10: For easy subtraction from 10, 100, 1000, subtract each digit from 9 except the last (from 10).
Example: 1000 - 264 = (9-2)(9-6)(10-4) = 7 3 6 (Answer: 736)
Step-by-Step Illustration
- Multiply 27 × 11:
Step 1: Add the digits: 2+7=9Step 2: Place 9 between 2 and 7: 297Final Answer: 297
Speed Trick or Vedic Shortcut
Here’s a quick shortcut for multiplying two numbers near 100. Many students use this trick during timed exams:
Example Trick: Multiply 97 × 96
- Subtract each from 100:
100-97=3, 100-96=4 - Cross-subtract: 97-4=93 or 96-3=93
- Multiply the differences: 3×4=12
- Final Answer: 9312
Such maths tricks are fun, helpful, and make you stand out in exams or quizzes.
Tricks for Squares, Cubes, and Roots
| Type | Shortcut | Example |
|---|---|---|
| Square of numbers ending in 5 | (n × (n+1)) then put 25 | 85 × 85 = 8×9=72 ⇒ 7225 |
| Cube of single digit | Multiply number by itself twice | 4 × 4 × 4 = 64 |
| Square Roots (Estimate) | Find closest square then adjust | √50 ≈ 7 as 7²=49, close to 50 |
Try These Yourself
- Try 54 × 11 using the trick above!
- Square 75 using the “ending in 5” shortcut.
- Use the Vedic crosswise method for 34 × 32.
- Estimate √82 quickly without a calculator.
Frequent Errors and Misunderstandings
- Missing a step in tricks, especially when combining digits.
- Mixing up methods (Vedic vs. standard multiplication).
- Applying a shortcut when regular calculation is faster.
Relation to Other Concepts
The idea of Maths Tricks connects closely with Multiplication Tricks, Square Roots, Order of Operations, and logical reasoning. Building speed here helps you tackle algebra, equations, and higher math confidently.
Classroom Tip
A quick way to remember many maths tricks is to look for repeating patterns, use your finger for place value, or “make a round number” by adjusting pairs. Vedantu’s teachers often show these visual cues in live classes for engaging learning.
We explored Maths Tricks—from definition, value, Vedic and basic shortcuts, stepwise examples, and links to other maths topics. Keep practicing and exploring more tricks on Vedantu to boost your maths speed and ace exams with confidence.
Explore related topics and tools for more quick learning:
FAQs on Maths Tricks: Learn Easy Calculation Shortcuts with Stepwise Examples
1. What are maths tricks?
Maths tricks are clever shortcuts and techniques that simplify calculations and problem-solving in mathematics. They help you solve arithmetic, algebra, and other problems quickly and efficiently, boosting your speed and confidence. These methods can involve various strategies, from mental math techniques to algorithmic shortcuts, making complex calculations easier.
2. What are some easy maths tricks for kids?
Many simple tricks exist for younger learners! For example, to multiply by 10, simply add a zero to the end of the number. To multiply by 5, halve the number and add a zero. Other easy tricks involve recognizing patterns in multiplication tables (like multiples of 9 adding up to 9). Visual aids like number lines can also be extremely helpful.
3. How can I improve my speed in solving math problems?
Improving your speed requires consistent practice and the right strategies. Regularly practicing maths tricks alongside standard methods helps build fluency. Focus on understanding the underlying concepts of each trick rather than simply memorizing steps. Break down complex problems into smaller, manageable parts. Consider using timers to track your progress and identify areas needing more attention.
4. What are some useful maths tricks for competitive exams?
For competitive exams, focus on tricks that save time on common problem types. Mastering techniques for quick multiplication, division, and simplification is crucial. Practice applying these tricks under timed conditions to simulate the exam environment. Understanding approximation methods can also be beneficial for quickly eliminating wrong answers.
5. Are there maths tricks for solving equations faster?
Yes, several tricks exist for efficiently solving equations. For linear equations, techniques like cross-multiplication or substitution can speed up the process. For quadratic equations, using the quadratic formula or factoring methods can save time. Understanding the properties of equations (like the distributive property) is essential for applying these tricks correctly.
6. What are some multiplication tricks?
Many clever multiplication tricks exist! For multiplying by 11, add the digits of the number and place the sum between the original digits (e.g., 23 x 11 = 2(2+3)3 = 253). The Vedic Math system provides various advanced techniques for faster multiplication. Learning to recognize patterns and use distributive property can significantly improve speed.
7. How do I learn and remember maths tricks effectively?
Effective learning involves understanding, not just memorization. Begin by understanding the logic behind each trick; don’t just memorize steps. Practice regularly with a variety of problems. Use flashcards or other memory aids. Group similar tricks together to make them easier to recall. Regularly review and test yourself to reinforce your learning.
8. What are some maths tricks for mental calculations?
Mental maths relies on efficient strategies. Mastering basic arithmetic facts is foundational. Utilize techniques like breaking down numbers, using number properties (like commutativity and associativity), and using compatible numbers (numbers that are easy to work with). Practice consistently to improve mental calculation skills.
9. What are Vedic maths tricks?
Vedic mathematics is an ancient system offering unique methods for fast calculations. These tricks often involve clever techniques for multiplication, division, squaring, and more. They rely on understanding fundamental mathematical properties to simplify complex operations. Learning Vedic maths can significantly improve your calculation speed and accuracy.
10. Are maths tricks acceptable in exams?
The acceptability of maths tricks depends on the specific exam. While using shortcuts can significantly save time, it’s crucial to show your work clearly. Always ensure your approach is mathematically sound and that you can demonstrate your understanding of the underlying concepts. Check your exam guidelines for specific regulations.
11. Where can I find more maths tricks and resources?
Many resources are available online and in print. Educational websites, YouTube channels, and textbooks often feature collections of maths tricks. Consider exploring Vedic maths resources for advanced techniques. Vedantu offers various learning materials and courses to improve your math skills.
12. How do maths tricks help in real-life situations?
Maths tricks enhance problem-solving skills applicable to many everyday scenarios. Quick calculations become valuable when shopping, budgeting, estimating quantities, or even in simple conversions. Improved mental math skills boost confidence and efficiency in various daily tasks.
