Addition puzzles
Use magic triangles, pyramids and cross-number puzzles for practice.
Quick answer
Addition puzzles are fun maths challenges where you use addition to figure out missing numbers. They help you practice adding and thinking logically.
Learning outcome
By the end of this page, you will be able to solve addition puzzles by finding missing numbers using addition and logical thinking.
- You can add numbers to find the total in a puzzle
- You can use clues to work out what numbers are missing
- You can check your answers to make sure they are correct
- You can solve puzzles with more than one missing number
Why this matters
Addition puzzles help you become better at adding numbers quickly and carefully. They also teach you to think step by step and check your work. These skills are useful in everyday life, like when you're shopping and need to add up prices, or when you're playing games and need to count points. Addition puzzles also prepare you for more complex maths later on, like algebra and problem-solving.
How it works
Addition puzzles work like a detective game. You are given some numbers and a rule, like "the numbers in each row add up to 10". Then you need to figure out what the missing numbers are. You use addition to check your answers and make sure they fit the rule.
- Look at the puzzle and see what numbers you already know
- Find the rule or pattern (like "each row adds to 15")
- Use addition to work out what the missing numbers must be
- Check your answers by adding them up again
Examples you can see
Let's look at some addition puzzles you can try.
Example 1: Magic Triangle
A magic triangle has three sides. Each side adds up to the same total.
| Side 1 | Side 2 | Side 3 |
|---|---|---|
| 4 | 5 | ? |
| 3 | ? | 6 |
| ? | 2 | 7 |
Each side must add to 12. So:
- First row: 4 + 5 + ? = 12 → ? = 3
- Second row: 3 + ? + 6 = 12 → ? = 3
- Third row: ? + 2 + 7 = 12 → ? = 3
Example 2: Pyramid Puzzle
In a pyramid, each number is the sum of the two numbers below it.
| ? | ? | ? |
| 4 | 7 | 5 |
So:
- Top number = 4 + 7 = 11
- Next number = 7 + 5 = 12
- Last number = 4 + 5 = 9
Example 3: Cross Number Puzzle
Like a crossword, but with numbers.
| ? | + | ? | = | 12 |
| ? | + | 5 | = | 10 |
Solve:
- First row: ? + ? = 12 → 7 + 5 = 12
- Second row: ? + 5 = 10 → ? = 5
Try it as a mini adventure
Adventure: The Treasure Hunt
You are going on a treasure hunt! The treasure map shows a pyramid puzzle. You need to find the numbers to unlock the treasure chest.
Here's your puzzle:
| ? | ? | ? |
| 3 | 4 | 5 |
Each number on top is the sum of the two numbers below it.
4th time: What number goes in the top middle spot?
5th time: What number goes in the top right spot?
6th time: What number goes in the top left spot?
7th time: Check your answers. Do they all add up correctly?
Common mistakes
- Mistake: Adding the wrong numbers together
Why it happens: Looking at the puzzle quickly without checking what goes where
Fix: Read the puzzle rule carefully and write down what each number should add to - Mistake: Forgetting to check your answers
Why it happens: Being excited to finish the puzzle
Fix: Always add your answers again to make sure they match the rule - Mistake: Thinking the same number can go in more than one spot
Why it happens: Not reading the puzzle carefully
Fix: Write down each number only once unless the puzzle says it's allowed - Mistake: Not understanding the puzzle rule
Why it happens: Reading too fast or getting confused
Fix: Read the rule out loud and ask "What do I need to add to get this number?"
Parent and carer guide
Help your child with addition puzzles by:
- Reading the puzzle rule together
- Letting them write down the puzzle in their own way
- Encouraging them to check their work with addition
- Using everyday examples like adding up snacks or toys
- Not rushing them, but offering hints when they get stuck
- Practising with simple puzzles first before harder ones
- Using games or apps that have puzzle features
- Checking that they understand what the puzzle is asking
- Letting them make mistakes and learn from them
- Being patient and celebrating their progress
Remember: Addition puzzles are meant to be fun and challenging, not stressful. Keep the atmosphere light and encouraging.
Practice questions
- What number goes in the triangle puzzle where one side is 3, 4, and ? and the total is 10?
Answer: 3 - In a pyramid puzzle, if the bottom row is 2, 3, 5, what is the top number?
Answer: 10 - What number goes in the cross puzzle where ? + 6 = 15?
Answer: 9 - In a triangle where each side must add to 15, and one side is 5, 6, ?, what is ?
Answer: 4 - What number goes in the pyramid where bottom row is 1, 2, 3, 4 and top number is 10?
Answer: 10
FAQ
What is an addition puzzle?
An addition puzzle is a maths challenge where you use addition to find missing numbers. These puzzles often have a rule, like "each row adds to the same number", and you need to use addition to work out what the missing numbers are.
How can I practice addition puzzles at home?
You can make your own puzzles with paper and pencils, use online puzzle games, or solve puzzles in maths books. You can also create puzzles with everyday items like coins or blocks.
Are addition puzzles good for learning?
Yes! They help you practice addition, logical thinking, and problem-solving. They also make maths more fun and interesting than regular worksheets.
What age is best for addition puzzles?
Children as young as 5 can start with simple puzzles. Older children can handle more complex ones with multiple missing numbers or more difficult rules.
How do I know if my child is getting it?
They can solve puzzles with the help of a grown-up, check their answers with addition, and explain how they found the answer. They should be able to solve puzzles without getting frustrated.