Addition Tricks & Mental Maths Strategies
7 powerful strategies to add numbers faster — in your head, without pencil and paper. Grades 2–5.
Why Learn Mental Maths Strategies?
Fluent mental addition frees up working memory for problem-solving. Students who know these strategies spend less mental effort on computation and more on understanding problems.
Make Ten
When adding 8 or 9, round up to 10 and adjust.
When to use: Use when one number is close to 10
Doubles
If both numbers are the same, double one.
When to use: Use for identical addends — super fast!
Near Doubles
If numbers differ by 1, double the smaller and add 1.
When to use: Use when addends are consecutive
Making Friendly Numbers (Compensation)
Round one number to the nearest 10, adjust the other.
When to use: Use when one number is close to a multiple of 10
Left-to-Right Addition
Add the tens first, then the ones.
When to use: Use for 2-digit mental addition — avoids carrying
Break Apart (Expanded Form)
Split numbers into tens and ones, add each part.
When to use: Use when numbers don't require carrying
Counting On
Start from the larger number, count on the smaller.
When to use: Best for small second addends (1–5)
Which Strategy When?
| Situation | Best Strategy |
|---|---|
| One number is 8 or 9 | Make Ten |
| Both numbers are the same | Doubles |
| Numbers differ by 1 | Near Doubles |
| One number ends in 7, 8, or 9 | Compensation |
| Two 2-digit numbers, no carrying | Break Apart |
| Adding a small number (1–5) | Counting On |
| Any 2-digit addition | Left-to-Right |
Curriculum Standards & Learning Objectives
This worksheet topic strictly aligns with global mathematics curricula. Review the detailed learning outcomes and standard identifiers for Two-Digit Addition (With Regrouping).
US Common Core
2.NBT.B.5
Fluently add within 100
CBSE (India)
Grade 2-3
Addition with regrouping
UK National Curriculum
Year 3
Formal written methods for addition
IGCSE
Foundation
Addition with carrying
Singapore Math
Primary 2-3
Addition with regrouping
Australian Curriculum
ACMNA055
Add using mental and written strategies
IB PYP
Year 3
Addition algorithms
Canadian Curriculum
Grade 3
Addition with regrouping
New Zealand
Level 2
Advanced addition strategies
UAE
Grade 3
Addition with carrying
Saudi Arabia
Grade 3
Addition with regrouping
ICSE (India)
Class 3
Addition with carrying
State Boards (India)
Class 3
Addition with regrouping
NCERT (India)
Class 2-3
Addition with regrouping
All other curricula (21-50)
Grade 3-4 equivalent
Addition with regrouping