Mathematics — Tips & Techniques — For All Students

5 Mental Math Techniques
Every Student Should
Know

✍️ Vrushali Joshi 📅 July 2026 ⏱ 6 min read 📍 E.A.S.E. Education — Live Online Worldwide

In an age of calculators and smartphones, you might wonder why mental mathematics still matters. The answer is simple — mental math is not about calculating without a calculator. It is about thinking without limitations.

Students who develop strong mental calculation skills consistently outperform their peers — not just in mathematics, but in science, logical reasoning, and even standardised tests like the SAT, IGCSE, IB, CBSE, and other national and international examinations. The reason is straightforward: mental math builds a thinking habit that transfers across every subject.

Here are five powerful mental math techniques that every student should learn — and that we teach at E.A.S.E. Education in Bahrain.

Technique 1 — The Base Method for Multiplication

This is one of the most elegant techniques in Vedic mathematics and one of the first things we teach at E.A.S.E. It allows students to multiply large numbers mentally in seconds — without any written working.

The idea is to use a nearby base number (10, 100, 1000) as a reference point and work with the differences from that base.

🔢
Example: Multiply 97 × 98. Both numbers are close to 100. The differences are –3 and –2. Multiply the differences: –3 × –2 = 6. Cross-add: 97 + (–2) = 95. Answer: 9506. No written working needed.

Once a student grasps this technique, multiplying two-digit numbers close to 100 becomes as natural as basic addition. It transforms multiplication from a laborious task into a fluid mental exercise.

Technique 2 — Squaring Numbers Ending in 5

This is one of the quickest tricks in mental mathematics and one that genuinely surprises students when they first encounter it. Any number ending in 5 can be squared in two steps.

🔢
Rule: Take the digit(s) before the 5. Multiply them by the next number up. Write 25 at the end.

Example: 65² → Take 6, multiply by 7 (next number) = 42. Write 25 at the end → 4225. Done in under 3 seconds.

This technique works for any number ending in 5 — whether it is 25, 35, 75, 105, or 995. Once learned, it becomes completely automatic.

Technique 3 — The Subtraction Shortcut

Most students are taught to subtract by borrowing — a method that is slow and prone to errors under exam pressure. The mental math approach is far more elegant.

Instead of subtracting from left to right with borrowing, students learn to work from the nearest round number — reducing cognitive load and dramatically increasing speed and accuracy.

🔢
Example: 1000 – 637. Instead of borrowing across three columns, recognise that 637 needs 363 to reach 1000. Complement method: 9–6=3, 9–3=6, 10–7=3. Answer: 363. Instant, no borrowing.

Technique 4 — Percentage Calculations in Seconds

Percentages appear everywhere — in exams, in real life, in competitive situations. Students who can calculate percentages mentally have a genuine advantage. The key insight is that percentages are reversible and can be broken into simpler parts.

🔢
Key tricks:

• To find 10% — simply move the decimal point one place left.
• To find 5% — halve the 10% result.
• To find 15% — add 10% and 5%.
• To find 17.5% — add 10% + 5% + 2.5%.

Example: 17.5% of 240 → 10% = 24, 5% = 12, 2.5% = 6. Total = 42. Done mentally in seconds.

This approach removes the need for any formula. Students understand the logic and can apply it to any percentage, any number, in any exam.

Technique 5 — The Vinculum Method

The Vinculum (or bar number) technique is a cornerstone of the E.A.S.E. Intermediate programme and one of the most powerful tools in the Vedic mathematics system. It transforms complex calculations involving large digits (6, 7, 8, 9) into simpler ones involving small digits (1, 2, 3, 4).

The idea is that numbers like 8 and 9 are “heavy” to work with mentally. The Vinculum technique converts them into their complements from 10 — making arithmetic far lighter on the mind.

🔢
Concept: Instead of thinking of 8 as 8, think of it as (10 – 2) — or in Vinculum notation, as 12 (1 bar 2). This transforms multiplications involving 8s and 9s into much simpler operations involving 1s and 2s.

This technique takes practice to master — which is exactly why it is taught in a structured programme rather than as a standalone trick. When properly learned, it unlocks a completely new way of seeing and handling numbers.

📚 Important Note for Parents

These techniques are most effective when taught progressively and with proper guidance. Learning a trick in isolation is very different from understanding the underlying principle — and only the latter produces lasting results. This is why structured online training makes such a significant difference compared to YouTube videos or self-study.

How to Start Learning These Techniques

At E.A.S.E. Education, we teach all five of these techniques — and many more — through our live online Mental Mathematics programme. Classes are twice a week, maximum 30 students, and taught directly by certified trainers who understand each student individually.

Our programme is open to students aged 10 and above, from anywhere in the world. Students join live from home — all they need is a device and an internet connection.

Start learning these techniques with a certified trainer.
E.A.S.E. Mental Mathematics classes are live, online, and genuinely small. Your child gets real attention — not just a seat in a large virtual class.
Enquire About Classes →