Sun, 21 Jul 2024

Puzzle Books Make Great Gifts for Family and Friends (or Yourself!)

 Crossword a Day 2024 Mixed Puzzles Book Kriss Kross a Day 2024 Arrow Word Puzzles

# Strategy Tips for Solving Number Squares

There are various strategies that can be used to help you when solving number square puzzles.

The first one is simply to be ordered in the solving process: start by writing down the numbers from 1 to 9 and then cross them off as you use them. Sometimes the puzzle will have given numbers at the start to eliminate accordingly.

There are various rules that you can use to help you reduce options.

For instance if you have a sum where both operations are multiplication: a x b x c = n

If 'n' is an odd number, then you know that a,b,c must all be odd, since if any were even then the result of the multiplication would be an even number.

In a puzzle with only nine numbers to slot in, working out these must be 1,3,5,7,9 and eliminating the 2,4,6,8 from those cells is a very useful piece of information indeed.

There are various other simple rules that you will work out that apply to various sums as you start solving these puzzles, and it is fun to find these out and to apply them.

Look at particularly low values and high values too, as often there may only be one way to find them.

Imagine that a x b x c = 224 for instance, then you know that a,b,c must be 8, 4, 7 in some order.

Remember that when you have three cells with these pencilmarks, 478, 478, 478 then you can eliminate those numbers from all other cells in the puzzle. Similarly of course if you were to have 47, 47 in two cells and so on.

When you start solving the puzzle if nothing jumps out at you instantly, look at each sum and see if there is one that has very few options. If you can think of lots of possible ways of doing a particular sum then that is probably not the best starting point into solving that particular puzzle.

Remember to look carefully at numbers that are negative as well. If you have 'a - b x c' such as in the first column and final row in the puzzle shown here, then you know that the result of a - b must be negative. This tells you that b < a, in words that the value of b is greater than a. So of course 'a' cannot be '9'. And you can see that 'a' infact cannot be larger than 3.

There are various little rules and tricks that you will pick up whilst solving these puzzles. Feel free to share any that you come up with below!
Date written: 17 Nov 2010

Category: maths puzzles | Keywords: number square

### Puzzle Videos: Learn to Solve

How to solve Hanjie Puzzles
A fun logic puzzle, hanjies result in a simple piece of grid art being created. If you're new to this puzzle type but are intrigued and would like to give it a go, this video has a walkthrough of how to solve a simple hanjie puzzle to start you on your hanjie-solving adventures...

Hanjie is a fun puzzle, would you like to try the easy example in this video? You can do so here: Easy Online Hanjie Puzzle

Comment on this blog post

If you would like to comment on this post, please enter your comments below; all fields are mandatory. Posts are moderated before display.

Human testing question:
Is our favourite word: obscurity, clarity or semi-transparent?

Back to World of Puzzles
Puzzle Solutions
i Newspaper Solutions
Children's Puzzle Solutions

View a single page overview
List of puzzles

List of kids puzzles

View content such as dot to dots, adult colouring and more available to license for print right now

Word Puzzles
Children's Puzzles
Wordsearch
CodeWords
Arrow words
Kriss Kross
Word Wheel

Number & Colouring Puzzles
Children's Sudoku
Samurai Sudoku
Jigsaw Sudoku
Futoshiki
Mind Games
Killer Sudoku
Kakuro
Chess Puzzles
A - Z of Puzzles
Colour By Number
Dot To Dot

Puzzle Tools
Puzzle FAQ
Codeword Solver
Rhyming Dictionary
Puzzle Solving Tools
Solving Videos

Services
Puzzles for Apps
Article Writing
Themed Puzzle Pages