---
title: "3 Times Table Tips | Anxiety-Free Maths Games"
url: https://xtableschampions.com/3-times-table-tips
description: "Easy tricks and patterns to master the 3 times table — part of XTables Champions' anxiety-free, game-based maths for SEND, ADHD and neurodivergent kids."
lang: en
---

Times Tables Tips & Tricks

# The 3 Times Table

Discover the digit magic hidden in every answer!

## 💡 The Double + One Trick

To multiply by 3, double the number first, then add it one more time.

3 × 6 =? 6×2=12, +6 = 18 ✓

3 × 7 =? 7×2=14, +7 = 21 ✓

3 × 8 =? 8×2=16, +8 = 24 ✓

## ⭐ The Digital Root Trick

Add the digits of any answer in the 3 times table — you always get 3, 6, or 9. Use this to check your work!

3 × 4 = 12 1+2 = 3 ✓

3 × 7 = 21 2+1 = 3 ✓

3 × 9 = 27 2+7 = 9 ✓

3 × 12 = 36 3+6 = 9 ✓

3 6 9 12 15 18 21 24 27 30 33 36

## 🌍 Real-World Examples

🔺 Triangle Sides

5 triangles = 3 × 5 = 15 sides!

🚲 Tricycles

4 tricycles = 3 × 4 = 12 wheels!

🚦 Traffic Lights

8 traffic lights = 3 × 8 = 24 bulbs!

## 🎮 Practice Tips

- • Skip count by 3s every morning: 3, 6, 9, 12...
- • Count triangle sides on shapes around you
- • Use the digit sum check to verify answers
- • Play "3s buzz" — count up, say "buzz" instead of multiples of 3
- • Link to 6s: the 6 times table is just the 3s doubled!

## Frequently Asked Questions

Ready to put it into practice?

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          "text": "The most reliable trick is the digital root check: add the digits of any answer in the 3 times table and you always get 3, 6, or 9. For example, 3 × 8 = 24, and 2 + 4 = 6. This works for every multiple of 3 without exception, and gives children a powerful self-checking tool that works even when they're unsure of an answer. The double-plus-one method is equally useful for working out unfamiliar facts: to find 3 × 7, double 7 to get 14, then add 7 to get 21. Both tricks reduce reliance on rote recall."
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          "text": "Start with skip counting — 3, 6, 9, 12 — as a daily routine. Say it together on the way to school, counting steps or lamp posts. Once the sequence feels natural, connect it to real objects: triangle sides, tricycle wheels, traffic light bulbs. This gives the sequence meaning rather than just rhythm. Then introduce the digital root trick so your child has a way to check answers independently. The goal is to move from 'I remember the sequence' to 'I can derive or check any fact quickly' — which is a much more reliable form of knowledge."
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          "text": "There are several. The most striking is the digital root pattern: the digits of every multiple of 3 add up to 3, 6, or 9. The sequence itself alternates odd and even (3, 6, 9, 12, 15, 18...) in a perfectly regular pattern. If you look at just the units digits, they cycle through: 3, 6, 9, 2, 5, 8, 1, 4, 7, 0 — and then repeat. Recognising these patterns transforms the 3 times table from a list to memorise into a system to understand, which is both more interesting and far more durable in memory."
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          "text": "The 3 times table lacks the obvious anchor points that make 2s, 5s, and 10s easy — doubling, counting in fives, adding a zero. The answers don't end in a simple repeating pattern of one or two digits, and there's no single-step trick that covers every fact. This means children often rely on sequence counting, which breaks down under pressure. The solution is to build multiple strategies: skip counting for familiarity, the double-plus-one method for derivation, and the digital root check for verification. Children who have three tools available are far more resilient than those who rely on one."
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          "text": "The 6 times table is the natural next step, because every fact in the 6s is simply the corresponding 3s fact doubled. Once a child knows 3 × 7 = 21, they can derive 6 × 7 = 42 by doubling. This connection means learning the 3s effectively gives children a shortcut into the 6s without starting from scratch. The 9 times table also has strong connections to the 3s through its digit sum patterns. Understanding these links means the tables form a connected network in memory rather than eleven separate lists — which is both more efficient to learn and far more resilient under pressure."
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