Puzzles

Activities

Number Jigsaws
Activity
Online, interactive jigsaw puzzles of grids of numbers.

Prime Numbers Jigsaw
Activity
Interactive jigsaw puzzles of different types of grids containing prime numbers.

Online Psychic
Activity
Let the psychic read the cards and magically reveal the number you have secretly chosen. What is the mathematics that makes this trick work?

Addle
Activity
Arrange the numbers from 1 to 14 in the spaces to make the sums correct. How fast can you do it?

Digimoji
Activity
Crack the emoji code by testing equations and spotting patterns.

Four Sum
Activity
Arrange the given number tiles to make two 2 digit numbers that add up to the given total.

Brainbox
Activity
A puzzle requiring the arrangement of numbers on the function machines to link the given input numbers to the correct output.

Beam Balance
Activity
Achieve a perfect balance while hanging the treasure sacks off the balance beam pegs.

Stepwise Sums
Activity
Arrange the numbers one to nine on the stairs to obtain the given sums.

Tangram Table
Activity
Use the pieces of the tangram puzzle to make the basic shapes then complete the table showing which shapes are possible.

Multitude
Activity
Arrange the given digits to make three numbers such that the third is the product of the first and the second.

Nine Digits
Activity
Arrange the given digits to make three numbers such that two of them add up to the third.

Roman Numerals Jigsaw
Activity
An online interactive jigsaw puzzle of a grid of Roman numerals.

Overloaded Fraction
Activity
A set of ten puzzles requiring you to arrange the given digits to make an equivalent fraction.

Camp Bosrow
Activity
Place the camping items into the plots on the camp site according to the clues given.

Path Puzzle
Activity
A great puzzle requiring you to use all of the cards to create a continuous red line from start to finish.

Equatero
Activity
Find the expression from a series of guesses and clues.

Prime Labyrinth
Activity
Find the path to the centre of the labyrinth by moving along the prime numbers.

Arithmagons
Activity
Find the missing numbers in these triangular, self-checking puzzles and discover the wonders of these fascinating structures.

Yohaku Puzzles
Activity
Fill in the blank spaces so that the cells give the sum or the product shown in each row and column.

Magic Square Jigsaws
Activity
Interactive jigsaw puzzles of four by four magic squares.

Awe-Sum
Activity
Arrange the given digits to make six 3-digit numbers that combine in an awesome way.

Largest Product
Activity
A drag and drop activity challenging you to arrange the digits to produce the largest possible product.

Crossing Bridges
Activity
Find your way around by crossing bridges. Each bridge needs to be crossed once and once only.

Area Maze
Activity
Use your knowledge of rectangle areas to calculate the missing measurement of these composite diagrams.

Ludicross
Activity
Arrange the given numbers on the cross so that the sum of the numbers in both diagonals is the same.

Magic Square
Activity
Each row, column and diagonal should produce the same sum.

Triside Totals
Activity
Arrange the digits 1 to 9 on the triangle so that the sum of the numbers along each side is equal to the given total.

Not Too Close
Activity
The students numbered 1 to 8 should sit on the chairs so that no two consecutively numbered students sit next to each other.

How Many Squares? 2
Activity
How many different sets of four dots can be joined to form a square?

T Puzzle
Activity
Use the pieces of the T puzzle to fit into the outlines provided. A drag, rotate and drop interactive challenge.

Squorder
Activity
The Transum version of the traditional sliding tile puzzle.

Area Wall Puzzles
Activity
Divide the grid into rectangular pieces so that the area of each piece is the same as the number it contains.

Without Lifting The Pencil
Activity
Can you draw these diagrams without lifting your pencil from the paper? This is an interactive version of the traditional puzzle.

Mixpressions
Activity
Arrange the cards to create a valid mathematical statement.

Factor Trees Challenge
Activity
Can you determine the unique digits that will complete these factor trees?

Squareas
Activity
Square areas - some are shown and others can be deduced to find the unknown

Quad Areas
Activity
Calculate the areas of all the possible quadrilaterals that can be constructed by joining together dots on this grid.

Frustration
Activity
A logic challenge requiring a strategy to update each of the numbers in a grid.

Calculator Words
Activity
Turn your calculator upside down to make words out of the answers to these questions.

Nine Nine Nine
Activity
Use the digits 1 to 9 to make three 3 digit numbers which add up to 999.

No Partner
Activity
Find which numbers in a given list do not combine with other numbers on the list to make a given sum.

Thrice
Activity
A challenge to place all nine counters on the grid in such a way that they form exactly 10 straight lines, with each line containing three counters.

Express Percentage Puzzle
Activity
Drag the numbers into the percentage statements to make them true.

Centexpression
Activity
Arrange the numbers from 1 to 9 to make an expression with a value of 100.

Cubical Net Challenge
Activity
Find all the ways of painting the faces of cubes using only two colours.

Maths Crossword
Activity
An interactive mathematical crossword for you to do online. Find the missing words from the given clues.

Counting To and Fro
Activity
A puzzle about the counting method that goes back and forth.

Numskull
Activity
Interactive, randomly-generated, number-based logic puzzle designed to develop numeracy skills.

Vector Cops
Activity
Help the cops catch the robbers by finding the vectors that will end the chase.

Jugs
Activity
Can you make four litres if you only have seven and five litre jugs?

Car Park Puzzle
Activity
Can you get your car out of the very crowded car park by moving other cars forwards or backwards?

One Digit Only
Activity
Find expressions using only one digit which equal the given targets.

Shunting Puzzles
Activity
Move the trams to their indicated parking places in the shunting yard as quickly as possible.

Lemon Law
Activity
Change the numbers on the apples so that the number on the lemon is the given total.

Pattern Clues
Activity
An interactive activity challenging you to reproduce a pattern of coloured squares according to given clues.

Vowelless
Activity
Vowels have been taken out of mathematical words. Can you recognise them?

Partial Pyramids
Activity
Calculate the missing numbers in these partly completed pyramid puzzles.

Mine Find
Activity
Find where the mines are hidden without stepping on one.

Pentadd Quiz
Activity
Find the five numbers which when added or multiplied together in pairs to produce the given totals.

Shapes In The Stars
Activity
Join up the stars to find the hidden regular polygons.

Clue Sudoku
Activity
A different way to complete a Sudoku puzzle with clues available at every stage.

Pick Up Sticks
Activity
If you were to pick up the sticks from this pile so that you were always removing the top stick what calculation would you create?

Logic Puzzle
Activity
Solve this deduction logic puzzle to find who, where and what.

Plane Numbers
Activity
Arrange numbers on the plane shaped grid to produce the given totals

Pu Wiang
Activity
A fewest-moves, counter-swapping challenge invented in northern Thailand.

River Crossing
Activity
The traditional River Crossing challenge. Can you do it in the smallest number of moves?

Goal Products
Activity
Arrange the numbered footballs on the goal posts to make three, 3-number products that are all the same.

Plus
Activity
A number arranging puzzle with seven levels of challenge.

Where's Wallaby?
Activity
Find the hidden wallaby using the clues revealed at the chosen coordinates.

Latin Square Puzzles
Activity
Arrange the given digits to make a Latin square with the given row and column calculation results.

Xmas Ornaments
Activity
A hands on activity requiring students to arrange Christmas ornaments in a square box.

Pyramid Puzzle
Activity
Numbers in the bricks are found by adding the two bricks immediately below together. Can you achieve the given target?

Pandigital Puzzles
Activity
Arrange the digits 1 to 9 to create two numbers in the given ratio.

Pancake Day
Activity
Toss the pancakes until they are neatly stacked in order of size. Find how to do this using the smallest number of moves.

Pentominoes
Activity
Arrange the twelve pentominoes in the outline of a rectangle.

Cryptographic
Activity
Fill in the squares according to the clues given by the string of numbers for each row and column.

Polygon Pieces
Activity
Arrange the nine pieces of the puzzle on the grid to make different polygons.

Vocabero
Activity
Find the mathematical word from a series of guesses and clues.

All For One
Activity
Drag the numbers one to nine onto the outlines of three fractions that combine to make one.

Egg Timers
Activity
The classic hourglass puzzle; Time the boiling of an egg using only the two egg timers provided.

Scallywags and Scoundrels
Activity
Arrange the scallywags and scoundrels on the chairs so that the numbers of any two sitting next to each other add up to a prime number.

Spinsum
Activity
Arrange the numbers on the squares so that the totals along each line of three squares are equal.

Thai Numbers Jigsaw
Activity
An online interactive jigsaw puzzle of a grid of Thai number symbols.

Go Figure
Activity
Arrange the digits one to nine to make the four calculations correct.

Suko Sujiko
Activity
Interactive number-based logic puzzles similar to those featuring in daily newspapers.

Divisive
Activity
Arrange the digits one to nine on the spaces provided to make two division calculations containing multiples of three.

Word Search
Activity
Find the mathematical words in the grid of letters.

Tantrum
Activity
A game, a puzzle and a challenge involving counters being placed at the corners of a square on a grid.

Chinese Numbers Jigsaw
Activity
An online interactive jigsaw puzzle of a grid of Chinese number symbols.

Partition Clues
Activity
Partition numbers in different ways according to the clues given. The higher levels are quite hard!

Product Square
Activity
Arrange the given numbers in a three by three grid to obtain the diagonal, row and column products.

StatGrid Challenge
Activity
Arrange the numbers one to nine in a three by three grid to obtain the given means, medians and ranges.

The Miller's Puzzle
Activity
This is an interactive version of the puzzle described by Henry Ernest Dudeney in The Canterbury Puzzles

Circumfraction
Activity
Quite a challenging number placing puzzle involving fractions.

Tools
Activity
In how many different ways can the numbers be arranged to give the same totals?

Satisfy
Activity
Place the nine numbers in the table so they obey the row and column headings about the properties of the numbers.

Perfect Magic Square
Activity
Arrange the sixteen numbers on the four by four grid so that groups of four numbers in a pattern add up to the same total.

Puzzle Cube Net
Activity
A jumbled moving-block puzzle cube is shown as a net. Can you solve it?

Unmagic Square
Activity
Like the magic square but all of the totals should be different.

Olympic Rings
Activity
Place the digits one to nine in each of the regions created by the Olympic rings so that the sum of the numbers in each ring is the same.

Online Sudoku
Activity
An online, interactive version of the popular number placing puzzle.

Triangled Hexagram
Activity
Arrange the twelve numbers in the triangles on the hexagram so that the numbers in each line of five triangles add up to the same total.

Zygo
Activity
Interactive, randomly-generated, number-based logic puzzle designed to develop numeracy skills.

Code Cracker
Activity
Crack the code by replacing the encrypted letters in the given text. There are lots of hints provided about code breaking techniques.

Pandigital Squares
Activity
Arrange the digits 1 to 9 to form one or more square numbers.

Tower of Hanoi
Activity
Move the pieces of the tower from one place to another in the minimum number of moves.

Magic Square Puzzle
Activity
Find all of the possible ways of making the magic total from the numbers in this four by four magic square.

Hexagram Star
Activity
Arrange the twelve numbers on the hexagram so that the numbers in each line add up to the same total.

Fleur-De-Lis
Activity
Click on six fleur-de-lis to leave an even number in each row and column.

Prime Square
Activity
Drag the numbers into the red cells so that the sum of the three numbers in each row and each column is a prime number.

Digivide
Activity
Arrange the numbers from 1 to 6 in the spaces to make the division calculation correct.

Satisfaction
Activity
This is quite a challenging number grouping puzzle requiring a knowledge of prime, square and triangular numbers.

Solvitude Festival
Activity
Can you find a way that Madam Mushnik could distribute the coins so that all three rules are obeyed?

The Broken Chessboard Puzzle
Activity
The chessboard has been broken into 13 pieces. Can you put it back together?

Double Treble
Activity
Arrange the digits to make three 3 digit numbers such that the second is double the first and the third is three times the first.

Doughnut Dissection
Activity
A puzzle to find four different ways of making 900 by multiplying together three different numbers.

Separated Twins
Activity
Can you find a 6 digit number containing two each of the digits one to three which obeys the rules given?

One Torch Tunnel
Activity
Solve the problem of getting four people through a tunnel with one torch in the minimum amount of time.

Octagram Star
Activity
Arrange the sixteen numbers on the octagram so that the numbers in each line add up to the same total.

Unbeknownst
Activity
Some picture grid puzzles which can be solved by using simultaneous equations.

Delightfully Divisible
Activity
Arrange the digits one to nine to make a number which is divisible in the way described.

Framed Numbers
Activity
Figure out which numbers will complete the sentences in the frame correctly. A drag and drop activity.

Scheduling Puzzle
Activity
Make a schedule for the 24-hour Darts Marathon which will take into account everyone's requests and keep everyone happy.

Truculent
Activity
Can you arrange the seven counters on the grid despite their truculent behaviour?

Power Shift
Activity
Arrange the given numbers as bases and indices in the three-term sum to make the target total.

Trafalgar Square
Activity
Solve the number puzzles drawn on the pavement of Trafalgar Square in London.

Congruent Parts
Activity
Use the colours to dissect the outlines into congruent parts.

Groups of Four
Activity
A simplified, mathematical version of the challenge seen in the British TV programme Only Connect. Find the connections between the terms.

Similar Parts
Activity
Use the colours to dissect the outlines into similar parts.

Window View
Activity
Drag the 20 flowers into the gardens so that 9 flowers are visible from each window of the house.

Scouts in Boats
Activity
Arrange a rota for the Scouts to travel in boats so that they are with different people each day.

Dominoes Puzzle
Activity
Arrange the dominoes in seven squares. The number of dots along each side of the square must be equal to the number in the middle.

Investigations

Frustration
Activity
A logic challenge requiring a strategy to update each of the numbers in a grid.

Jugs
Activity
Can you make four litres if you only have seven and five litre jugs?

Tetrominoes Investigation
Activity
A tetromino is a shape made of four squares joined edge to edge. How many different tetrominoes are there?

How Many Rectangles?
Activity
Investigate the number of rectangles on a grid of squares. What strategies will be useful in coming up with the answer?

Egg Timers
Activity
The classic hourglass puzzle; Time the boiling of an egg using only the two egg timers provided.

Tantrum
Activity
A game, a puzzle and a challenge involving counters being placed at the corners of a square on a grid.

Tower of Hanoi
Activity
Move the pieces of the tower from one place to another in the minimum number of moves.

The Four Rules
Activity
See if you can make all of the numbers from 0 to 10 using four threes

Window View
Activity
Drag the 20 flowers into the gardens so that 9 flowers are visible from each window of the house.

Search for Infinity
Activity
Manipulate the Lissajou curve to produce a perfectly symmetrical (vertically and horizontally) infinity symbol.

Videos

A Maths Puzzle Logic
Activity
Only 10% of people get the correct answer to this simple logic puzzle.

Binary and The Tower of Hanoi
Activity
A video showing how binary counting can solve the Tower of Hanoi puzzle.

The Train Fly Problem
Activity
This video from Mind Your Decisions teaches a trick so you can solve the puzzle quickly.

Visual Aids

Online Psychic
Activity
Let the psychic read the cards and magically reveal the number you have secretly chosen. What is the mathematics that makes this trick work?

Tangram Challenge
Activity
A series of tangram challenges in increasing order of difficulty. This page is designed to be projected onto a screen for a whole class to see.

Stick Squares
Activity
Arrange the matches to form four squares instead of five.

Hot Number Challenges
Activity
These hot numbers challenges are for students with no access to a computer and are presented in a form suitable to be projected onto a whiteboard in front of a class.

Word Sums Guide
Activity
A step by step guide showing how to solve a Word Sum where each letter stands for a different digit.

Satisfaction
Activity
This is quite a challenging number grouping puzzle requiring a knowledge of prime, square and triangular numbers.

Starters

Starter
9:50 Puzzle
A little lateral thinking might help you solve this puzzle.

Starter
All for 100
Can you write an expression for 100 which uses all the digits 1 to 9?

Starter
Alphanumbetical
A challenge to find the number which when written as a word has all the letters in alphabetical order.

Starter
Arithmagons
This lesson starter requires pupils to find the missing numbers in this partly completed arithmagon puzzle.

Starter
Boxing Day
Work out the contents and the cost of the Christmas boxes from the given clues.

Starter
Bridge Crossing
The classic puzzle of finding a route which crosses each bridge once.

Starter
Broken Calculator (3 and 4)
Some keys are missing from this calculator. Just how useful is it?

Starter
Christmas Ornaments
A Maths Starter activity requiring students to arrange Christmas ornaments in a square box.

Starter
Coins On The Table
A puzzle about the number of coins on a table given information about fractions of them.

Starter
Cube Calendar
What numbers should be on each face of the two cubes to make this perpetual calendar?

Starter
Don't Touch!
A number placing puzzle which, when solved, raises the notion of proof.

Starter
Eleven Plus Two
Rearrange the letters in the expression 'Eleven Plus Two' to make another expression with the same value.

Starter
Framed Numbers
Figure out which numbers will complete the sentences in the frame correctly.

Starter
Freemason's Cipher
Find symmetric words in this ancient cipher.

Starter
House Numbers
The numbers on five houses next to each other add up to 70. What are those five numbers?

Starter
How Do You Do?
A little lateral thinking will help you solve this number puzzle.

Starter
How Many Squares? 1
Work out how many squares are there altogether in the given pattern then tackle the chess board.

Starter
How Many Squares? 2
How many squares can be found by joining four dots on the grid?

Starter
Intents Excitement
Work out the mathematical words missing from the story about buying a tent.

Starter
Lemon Law
Change the numbers on the apples so that the number on the lemon is the given total.

Starter
Letter Clue Calculations
Work out what the calculations might be from the letter clues.

Starter
Loopy Lake
Match the fractions to their decimal equivalents and join them with lines that do not cross.

Starter
Match Fish
A classic matchstick puzzle designed to challenge your spacial awareness.

Starter
Maths Crossword
A small crossword puzzle containing mathematical words.

Starter
Maths In School
Find mathematical words which can be made by using the letters in the name of your school?

Starter
Mathster Mind
Guess the four digit number with help from the clues.

Starter
Mirror Maths
The bottom half of some symmetrical calculations are shown above. Can you work out the answers?

Starter
Missing Pound
A puzzle about a restaurant bill. Exactly where did the missing pound go?

Starter
Missing Square Puzzle
The missing square puzzle is an optical illusion used to help students reason about geometrical figures.

Starter
Mix and Match
Work out which team played which from the information given.

Starter
Mystery Numbers
Can you recognise the mystery numbers from the clues?

Starter
Mystic Maths
Work out why subtracting a two digit number from its reverse gives a multiple of nine.

Starter
News Common
Follow the compass directions given in the squares to find where the route starts?

Starter
Nine Digit Sum
Arrange the digits one to nine to make a correct addition calculation.

Starter
Not Too Close
This activity requires eight students to sit non consecutively on a grid of chairs.

Starter
Noughts and Crosses
In how many different ways can the first X and O by placed on the grid?

Starter
One Digit 100
How many ways can you write an expression for 100 which only uses the same digit repeated and any operations?

Starter
Palindromic Times
Can you use the digits on the left of this clock along with any mathematical operations to equal the digits on the right?

Starter
Paradox
Can you solve this paradox by agreeing whether the statements are right or wrong?

Starter
Pentadd
Five numbers are added together in pairs and the sums shown. What might the five numbers be?

Starter
Pipeline Puzzle
Arrange the numbers so that the totals of the three numbers along any pipe are the same.

Starter
Plus
A number puzzle suitable for children with a wide range of abilities.

Starter
Roundabout
Go around the roundabout performing each of the operations. Which starting point gives the largest answer?

Starter
Route to Las Vegas
Work out the cheapest way from Los Angeles to Las Vegas by choosing the best route and adding up the given numbers.

Starter
Rows of Roses
Can you draw 4 straight lines, without taking your pencil off the paper, which pass through all 9 roses?

Starter
Secret Symbol
Place a symbol between the four and the five to get a number greater than four and less than five.

Starter
Separated Twins
Can you find a 14 digit number containing two each of the digits one to seven which obeys the rules given?

Starter
Small Satisfaction
Arrange the digits one to nine in the grid so that they obey the row and column headings.

Starter
Square Pairs
Arrange the numbered trees so that adjacent sums are square numbers.

Starter
Squared Animals
Separate three rows of three animals using three squares.

Starter
Sudoku Sum
What is the sum of the numbers missing from the given Sudoku puzzle?

Starter
Suko
Interactive number-based logic puzzle similar to those featuring in The Times and Telegraph newspapers.

Starter
Sum Equals Product
What are the numbers if their sum equals their product?

Starter
Sum of the Signs
Each traffic sign stands for a number. Some of the sums of rows and columns are shown. What numbers might the signs stand for?

Starter
Sum Square
Arrange the numbers one to eight into the calculations to make the totals correct..

Starter
THOAN
THOAN stands for 'Think of a number' and there are four randomly generated THOAN puzzles to solve.

Starter
Tool Triangle
Place the numbers on the triangle so that the totals along each of the sides are equal.

Starter
Two Twins and Tim
A tricky problem set on a coordinate grid.

Starter
Upside Number
Work out the phone number from the clues given.

Starter
What are they?
A starter about sums, products, differences, ratios, square and prime numbers.

Starter
Word Search
Create your own mathematical word search for the whole class to enjoy.

Starter
Word Sum
Each letter stands for a different digit. Can you make sense of this word sum?

208 items are currently in this category.

Teachers might find the complete Puzzles Topic List useful.

Engaging and addictive, puzzles have been an irresistible lure for inquisitive minds throughout history. This topic introduces pupils to some interesting puzzles with a mathematical connection.

Some puzzles are based on the old classics but are presented in an interactive way or updated to relate to young people of today. The puzzles are recommended to start a lesson, to be used with pupils who finish classwork early or, even better, to be integrated into the main activity of the lesson as strategies for finding solutions are sound mathematical techniques.

A page designed for pupil to access containing the Transum puzzle collection can be found here: Maths Puzzles.

Puzzles

Maths Map Home

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