In Class 10 Maths CBSE board exams, many students struggle not because they don’t understand concepts, but because they take too much time in calculations. Slow calculations can reduce your overall score by limiting the number of questions you attempt correctly.
The key to scoring high marks is not just knowing formulas—it is about applying them quickly and accurately. In this guide, we will explore powerful tricks and strategies that will help you improve your calculation speed and perform like a topper.
Why Calculation Speed Matters in Maths Exams
- Saves time for difficult questions
- Reduces exam stress
- Improves accuracy
- Helps complete paper on time
Faster calculations give you more time for revision and checking mistakes.
Trick 1: Memorize Square Values (1 to 30 Minimum)
Squares are one of the most frequently used numerical values in Class 10 Maths, especially in chapters like algebra, trigonometry, and coordinate geometry. During exams, students often waste time calculating squares again and again using long multiplication. This not only slows you down but also increases the chances of calculation errors. By memorizing square values, you can instantly recall answers and significantly boost your speed and confidence.
Why It Is Important
If you keep calculating squares during the exam, you waste valuable time. Toppers memorize these values so they can recall answers instantly.
What You Should Do
- Memorize squares from 1 to at least 30
- Practice daily for quick recall
Examples
- 15² = 225
- 20² = 400
- 25² = 625
Pro Tip
These values should come instantly to your mind without calculation.
Trick 2: Learn Square Roots (Approx Values)
Square roots play a crucial role in many Class 10 Maths problems, especially in coordinate geometry, trigonometry, and statistics. Students often rely on long division methods to find square roots, which is time-consuming and not practical during exams. Learning approximate square root values helps you solve questions quickly, especially MCQs and numerical problems where exact precision is not always required.
Why It Helps
Instead of using long division method, you can directly use approximate values.
Recommended Range
- Memorize square roots from 1 to 20
Examples
- √2 ≈ 1.41
- √5 ≈ 2.24
- √10 ≈ 3.16
Benefit
Saves time and improves approximation accuracy in MCQs.
Trick 3: Master Algebraic Identities
Algebraic identities are one of the most powerful tools in Mathematics that help you simplify complex calculations instantly. Instead of performing lengthy multiplication or expansion, identities allow you to reach the answer in just a few steps. Students who master these identities can solve questions faster, avoid unnecessary calculations, and reduce errors significantly.
Important Identities
- (a + b)² = a² + b² + 2ab
- (a − b)² = a² + b² − 2ab
- (a + b)(a − b) = a² − b²
- (a + b)³ = a³ + b³ + 3ab(a + b)
Why This Matters
Using identities reduces long calculations into simple steps.
Example
Instead of multiplying 49 × 51:
Use (a − b)(a + b)
= 50² − 1² = 2500 − 1 = 2499
Pro Tip
Practice applying identities instead of long multiplication.
Trick 4: Memorize Cube Roots (Basic Range)
Cube roots may not appear as frequently as squares, but they are still important in algebra and number system problems. Many students ignore cube roots thinking they are difficult, but memorizing basic cube root values can save time and help in solving questions quickly without lengthy calculations.
Recommended Range
- Learn cube roots from 1 to 15
Examples
- ∛8 = 2
- ∛27 = 3
- ∛64 = 4
Benefit
Avoids long calculation methods and saves time.
Trick 5: Multiplication by 11 Shortcut
Multiplying numbers by 11 is a very common operation in Maths exams, and doing it through traditional methods can take unnecessary time. This shortcut allows you to find the answer in seconds without writing multiple steps, making it extremely useful during time-bound exams.
Method
For a two-digit number AB:
- Add A + B
- Place result in between
Example
52 × 11
5 + 2 = 7 → 572
Another Example
64 × 11
6 + 4 = 10 → 704
Benefit
Saves time in calculations during exams.
Trick 6: Numbers Close to 100 (Fast Multiplication)
Multiplying numbers close to 100 using the traditional method can be time-consuming and prone to mistakes. This shortcut simplifies the process by converting the multiplication into simple subtraction and small multiplication, helping you solve such questions much faster.
Example
98 × 97
- 98 = 100 − 2
- 97 = 100 − 3
Step 1: 98 − 3 = 95
Step 2: 2 × 3 = 6
Answer = 9506
Why It Works
Reduces large multiplication into simple subtraction and multiplication.
Trick 7: Square Numbers Ending with 5
Squaring numbers that end with 5 is very common in Maths problems. Using the standard multiplication method takes time, but with this shortcut, you can instantly calculate the square in just a few seconds. This trick is widely used by toppers to save time in exams.
Method
For number ending with 5:
- Multiply first digit with next number
- Add 25 at end
Example
25²
2 × 3 = 6 → 625
Example
35²
3 × 4 = 12 → 1225
Benefit
Instant answers without calculation.
Trick 8: Multiply Any Number by 5 Quickly
Multiplication by 5 is very common in calculations, and using traditional multiplication methods repeatedly can slow you down. This shortcut helps you convert multiplication into a simple division-based operation, making it much faster and easier to compute mentally.
Method
- Divide number by 2
- Add zero
Example
48 × 5
48 ÷ 2 = 24 → 240
For Odd Numbers
- Divide and remove decimal
47 × 5 = 235
Trick 9: Break the Number (Distributive Property)
Sometimes numbers do not have any obvious relationship, making direct multiplication difficult. In such cases, breaking numbers into simpler components using the distributive property can make calculations much easier and faster. This method is especially helpful for complex or random numbers.
Method
Break numbers into easy parts.
Example
47 × 18
= (50 − 3) × 18
= 900 − 54 = 846
Benefit
Simplifies complex calculations.
Trick 10: Multiply by 25 Shortcut
Multiplication by 25 can be simplified significantly using a shortcut instead of long multiplication. This method converts multiplication into division and helps you arrive at the answer quickly without complex steps.
Method
- Divide number by 4
- Add two zeros
Example
36 × 25
36 ÷ 4 = 9 → 900
Benefit
Very useful in board exams.
Daily Practice Strategy
- Practice 20 calculations daily
- Revise squares and roots
- Solve MCQs with timer
Exam Day Tips
- Do not use long methods unnecessarily
- Use shortcuts wisely
- Stay calm and focused
FAQs
Q1. How can I improve calculation speed in Maths?
Practice regularly and memorize important values like squares and roots.
Q2. Are shortcuts useful in board exams?
Yes, they save time and improve efficiency.
Q3. Should I memorize all squares till 50?
At least memorize till 30 for better speed.
Q4. How much practice is needed daily?
At least 20–30 minutes of calculation practice.
Q5. Can these tricks guarantee full marks?
They help improve speed, but concepts and practice are equally important.
Conclusion
Improving calculation speed is essential to score high in Class 10 Maths CBSE. By using these tricks and practicing regularly, you can solve questions faster, reduce errors, and gain confidence in exams.
Start practicing today and turn your speed into your biggest advantage.
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