There is a great amount of satisfaction that can be obtained from solving a mathematical puzzle. There is a range of puzzles on this page, all with a mathematical connection, that are just waiting to be solved. You can earn Transum Trophies for the puzzles you solve.
The students numbered 1 to 8 should sit on the chairs so that no two consecutively numbered students sit next to each other.
In how many different ways can the numbers be arranged to give the same totals?
Drag the 20 flowers into the gardens so that 9 flowers are visible from each window of the house.
Join up the stars to find the hidden regular polygons.
Place the nine numbers in the table so they obey the row and column headings about the properties of the numbers.
Use the pieces of the T puzzle to fit into the outlines provided. A drag, rotate and drop interactive challenge.
Move the trams to their indicated parking places in the shunting yard as quickly as possible.
Find all of the possible ways of making the magic total from the numbers in this four by four magic square.
Find all the ways of painting the faces of cubes using only two colours.
Arrange the given digits to make three numbers such that two of them add up to the third.
Use the pieces of the tangram puzzle to make the basic shapes then complete the table showing which shapes are possible.
Turn your calculator upside down to make words out of the answers to these questions.
Vowels have been taken out of mathematical words. Can you recognise them?
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?
Arrange the digits one to nine on the spaces provided to make two division calculations containing multiples of three.
Arrange the digits one to nine to make the four calculations correct.
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.
An extensive collection of Arithmagons arranged in levels according to their features. Find the missing numbers in these online, self-checking exercises and discover the wonders of Arithmagons.
Divide the grid into rectangular pieces so that the area of each piece is the same as the number it contains.
A hands on activity requiring students to arrange Christmas ornaments in a square box.
Find the five numbers which when added or multiplied together in pairs to produce the given sums or products.
Find the path to the centre of the labyrinth by moving along the prime numbers.
Can you arrange the seven counters on the grid despite their truculent behaviour?
An interactive mathematical crossword for you to do online. Find the missing words from the given clues.
Use your knowledge of rectangle areas to calculate the missing measurement of these composite diagrams.
A game, a puzzle and a challenge involving counters being placed at the corners of a square on a grid.
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.
Find which numbers in a given list do not combine with other numbers on the list to make a given sum.
Can you arrange all of the counters on the grid to form 10 lines of three counters?
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
Click on six fleur-de-lis to leave an even number in each row and column.
This is an interactive variation of the puzzle described by Henry Ernest Dudeney in The Canterbury Puzzles
Arrange the digits one to nine to make a number which is divisible in the way described.
Use the digits 1 to 9 to make three 3 digit numbers which add up to 999.
Arrange the numbers on the squares so that the totals along each line of three squares are equal.
An interactive activity challenging you to reproduce a pattern of coloured squares according to given clues.
A puzzle requiring the arrangement of numbers on the function machines to link the given input numbers to the correct output.
Interactive, randomly-generated, number-based logic puzzle designed to develop numeracy skills.
Can you make 4 litres if you only have 7 and 5 litre jugs?
Crack the code by finding out which letters replace the encrypted letters in the text given. There are lots of hints provided about code breaking techniques.
How many different sets of four dots can be joined to form a square?
Arrange the given numbers on the cross so that the sum of the numbers in both diagonals is the same.
A drag and drop activity challenging you to arrange the digits to produce the largest possible product.
A different way to complete a Sudoku puzzle with clues available at every stage.
Arrange numbers on the plane shaped grid to produce the given totals
Fill in the squares according to the clues given by the string of numbers for each row and column.
Numbers in the bricks are found by adding the two bricks immediately below together. Can you achieve the given target?
The chessboard has been broken into 13 pieces. Can you put the chessboard back together?
This is quite a challenging number grouping puzzle requiring a knowledge of prime, square and triangular numbers.
The Transum version of the traditional sliding tile puzzle.
Find where the mines are hidden without stepping on one.
Arrange the twelve pentominoes in the outline of a rectangle.
Online, interactive jigsaw puzzles of grids of numbers.
An online interactive jigsaw puzzle of a grid of Roman numerals.
A number arranging puzzle with seven levels of challenge.
Can you get your car out of the very crowded car park by moving other cars forwards or backwards?
Find expressions using only one digit which equal the given targets.
Arrange the numbers from 1 to 9 to make an expression with a value of 100.
Each row, column and diagonal should produce the same sum.
Like the magic square but all of the totals should be different.
Solve the problem of getting four people through a tunnel with one torch in the minimum amount of time.
Can you find a 6 digit number containing two each of the digits one to three which obeys the rules given?
Can you draw these diagrams without lifting your pencil from the paper? This is an interactive version of the traditional puzzle.
The traditional River Crossing challenge. Can you do it in the smallest number of moves?
Arrange the numbers from 1 to 6 in the spaces to make the calculation correct.
Calculate the areas of all the possible quadrilaterals that can be constructed by joining together dots on this grid.
Make a schedule for the 24-hour Darts marathon which will keep everyone happy!
Change the numbers on the apples so that the number on the lemon is the given total.
Let the psychic read the cards and reveal which number you had chosen.
Interactive, randomly-generated, number-based logic puzzle designed to develop numeracy skills.
Arrange the numbers from 1 to 14 in the spaces to make the sums correct.
Interactive number-based logic puzzles similar to those featuring in daily newspapers.
A logical challenge requiring a strategy to update each of the numbers in a grid.
Arrange the nine pieces of the puzzle on the grid to make the given polygon.
A counter moving challenge invented in northern Thailand.
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.
Arrange the cards to create a valid mathematical statement.
Find the mathematical words in the grid of letters.
There are plenty more puzzles on the Transum website.
Exam Average
What mark is required in the last exam to achieve an 80% overall average?
Holy Sphere
Calculate the remaining volume of the sphere after a cylindrical hole has been drilled through the centre
Jumping Flea
How many different places could the flea find itself after 8 foot-long jumps either north, south, east or west?
Last Digit
How many positive two-digit numbers are there whose square and cube both end in the same digit?
Central Station
The probability that the next train to leave will be going north is five times the probability that the next train to leave will be going south.
Separated Twins
Work out the combination of the safe given the clues about pairs of numbers.
Divisible By Three
A puzzle about two digit numbers that can be made from ten different digits.
Letters In Numbers
A brand new puzzle involving the letters in numbers when written as words.
Square Angled Triangle
The angles of a triangle are all square numbers. What are they?
Tri-Junction Puzzle
What is the probability of the three cars arriving at the road junction not being involved in an accident?
Two Prime Squares
What is the smallest square number (greater than one) that cannot be expressed as the sum of two prime numbers?
The Missing Pound
Where did the missing pound go in this story about three people visiting a restaurant?
Ticks, Tocks, Tacks and Tucks
Find how ticks compare to tocks, tacks and tucks from the given information.
The Power of Christmas
A question about indices to get you thinking mathematically at this festive time of year.
Ant and Dec
What single question could Dec ask Ant to find out what he is thinking?
Three Mathematicians
How can the third mathematician be so certain that everyone wants a drink?
Unfinished Game
If the coin tossing game was cut short how would you share the winnings?
Best Dice
Which of the unusual dice would you choose to give you the best chance of winning the prize?
The Birthday Problem
What is the probability of two or more pupils in a class having the same birthday?
Twelve Days of Christmas
Can you figure out exactly how many gifts the true love sends during the twelve days of the Christmas holiday?
Chased by a Bear
A puzzle about an explorer being chased by a bear along with a question about imperial and metric measures with Measurement Man
Halloween Bases
A puzzle about Why is halloween like Christmas along with news of the new Number Skills Inventory
Torch Tunnel
A puzzle about four people making their way through a tunnel with just one torch along with news of the new numerology page
Cube in Milk
A puzzle about a cube being lowered into a bucket of milk along with news of the new shunting puzzles
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