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Free guides and practice

Free Mental Math Tutorials

Pick a method, study a worked example, and practise at your own pace. NumDojo covers Vedic Mathematics, the Trachtenberg System, and Soroban.

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Choose a Method

Each route starts with the basic idea before moving into guided lessons and practice.

Vedic Mathematics

Meet the 16 sutras and see how Vedic methods turn long calculations into smaller, repeatable steps.

Learn Vedic Mathematics

Trachtenberg System

Learn the neighbour-based rules for fast multiplication, including the popular multiply-by-11 method.

Learn the Trachtenberg System

Soroban and Anzan

Learn bead values and complements, then move from a physical Japanese abacus towards mental calculation.

Learn Soroban

Worked guides

Learn One Technique at a Time

What Is Vedic Mathematics?

A beginner-friendly introduction to the sutras, with worked examples and advice on where to start.

Read the Vedic guide

Trachtenberg Rules and Examples

Work through multiplication rules for 11, 12, 5, and 6, then check the mistakes learners often make.

Read the Trachtenberg guide

How the Soroban Builds Mental Calculation

See how bead movement becomes mental visualisation and how to practise without racing too early.

Read the Soroban guide

Practise What You Learn

Use a virtual abacus, work through a worksheet, compare methods, or build a short practice routine.

Free Virtual Soroban

Move the beads online, set target numbers, and keep a practice streak in your browser.

Open the virtual Soroban

Printable Trachtenberg ×11 Worksheet

Try 12 questions, check each answer online, print a fresh sheet, or download the PDF answer key.

Open the free worksheet

Compare the Three Methods

Compare Vedic Mathematics, Trachtenberg, and Soroban by strengths, learning style, and typical use.

Compare the methods

Five Ways to Practise Mental Math

Build a useful practice routine with short sessions, recall, estimation, and timed work used carefully.

Read the practice guide

Guides for Adults Supporting Learners

For parents

Help a child practise mental math at home without turning every session into a speed test.

Read the parent's guide

For teachers

Use short speed-math activities, assignments, and progress checks in a classroom routine.

Read the teacher's guide

Ready for Guided Practice?

Create a free account to save progress, practise up to 20 problems a day, and work through 42 foundation lessons across all eight learning paths.

Start 42 Free Lessons

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