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.
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.
A jumbled moving-block puzzle cube is shown as a net. Can you solve it?
Find the hidden wallaby using the clues revealed at the chosen coordinates.
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?
Move the pieces of the tower from one place to another in the minimum number of moves.
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 it 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.
Like the magic square but all of the totals should be different.
Each row, column and diagonal should produce the same sum.
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 division 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 have 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.
A hands on activity requiring students to arrange Christmas ornaments in a square box.
Arrange the cards to create a valid mathematical statement.
Find the mathematical words in the grid of letters.
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.
Use the pieces of the T puzzle to fit into the outlines provided.
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.
Vowels have been taken out of mathematical words. Can you recognise them?
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.
Find the missing numbers in these partly completed arithmagon puzzles.
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.
A game, a puzzle and a challenge involving counters being placed at the corners of a square on a grid.
Can you arrange all of the counters on the grid to form 10 lines of three counters?
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.
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
There are plenty more puzzles on the Transum website.
Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.
Eric Levy, United States
Thursday, November 17, 2016
"Thank you for the podcasts! I really enjoy the puzzles. This relates to the 5/29/15 podcast re: coin flipping game that was stopped before completion. The flips when stopped were two Heads and one Tail. You indicate that the options on next 2 tosses are HH, TH, HT, and TT. Since the game stops when one person reaches 3 points, wouldn't HH and HT be the same, as the second flip isn't needed? This seems to match your ultimate answer of 75% and 25%, though ... with the person with Tails only winning with TT, which is 25% chance. I get the same answer but intermediate steps differ. Am I looking at this incorrectly? Thanks!."
Transum,
Thursday, November 17, 2016
"Dear Eric, Thanks so much for your observations and you are completely right. The only reason I chose to list the next two outcomes was to produce equally likely outcomes making the arithmetic very slightly easier. I am glad you enjoy the puzzles."