There is a great amount of satisfaction that can be obtained from solving a mathematical puzzle. There are many 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. There is a great amount of satisfaction that can be obtained from solving a mathematical puzzle. There are many 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. Shunting Puzzles Move the trams to their indicated parking places in the shunting yard as quickly as possible. Shunting Puzzles Move the trams to their indicated parking places in the shunting yard as quickly as possible. Nine Digits Arrange the given digits to make three numbers such that two of them add up to the third. Arrange the given digits to make three numbers such that two of them add up to the third. Towers Create towers of heights determined by the numbers telling you how many towers you would see from that point. Create towers of heights determined by the numbers telling you how many towers you would see from that point. Cubical Net Challenge Find all the ways of painting the faces of cubes using only two colours. Cubical Net Challenge Find all the ways of painting the faces of cubes using only two colours. Tangram Table Use the pieces of the tangram puzzle to make the basic shapes then complete the table showing which shapes are possible. Use the pieces of the tangram puzzle to make the basic shapes then complete the table showing which shapes are possible. Tangram Template An online challenge to use all the pieces of the tangram puzzle to fit into the outlines provided. Tangram Template An online challenge to use all the pieces of the tangram puzzle to fit into the outlines provided. Vowelless Vowels have been taken out of mathematical words. Can you recognise them? Vowels have been taken out of mathematical words. Can you recognise them? Pick Up Sticks 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? 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? Divisive 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 on the spaces provided to make two division calculations containing multiples of three. Go Figure Arrange the digits one to nine to make the four calculations correct. Arrange the digits one to nine to make the four calculations correct. Olympic Rings 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. 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. Dudeney Puzzle Catalogue An index of 1251 puzzles by Henry Ernest Dudeney. Dudeney Puzzle Catalogue An index of 1251 puzzles by Henry Ernest Dudeney. Solvitude Festival Can you find a way that Madam Mushnik could distribute the coins so that all three rules are obeyed? Solvitude Festival Can you find a way that Madam Mushnik could distribute the coins so that all three rules are obeyed? Arithmagons Find the missing numbers in these triangular, self-checking puzzles and discover the wonders of these fascinating structures. Find the missing numbers in these triangular, self-checking puzzles and discover the wonders of these fascinating structures. Pandigital Squares Arrange the digits 1 to 9 to form one or more square numbers. Pandigital Squares Arrange the digits 1 to 9 to form one or more square numbers. Pandigital Puzzles Arrange the digits 1 to 9 to create two numbers in the given ratio. Pandigital Puzzles Arrange the digits 1 to 9 to create two numbers in the given ratio. Area Wall Puzzles Divide the grid into rectangular pieces so that the area of each piece is the same as the number it contains. Area Wall Puzzles Divide the grid into rectangular pieces so that the area of each piece is the same as the number it contains. Beam Balance Achieve a perfect balance while hanging the treasure sacks off the balance beam pegs. Achieve a perfect balance while hanging the treasure sacks off the balance beam pegs. Xmas Ornaments A hands on activity requiring students to arrange Christmas ornaments in a square box. A hands on activity requiring students to arrange Christmas ornaments in a square box. Squareas Square areas - some are shown and others can be deduced to find the unknown Square areas - some are shown and others can be deduced to find the unknown Crossing Bridges Find your way around by crossing bridges. Each bridge needs to be crossed once and once only. Crossing Bridges Find your way around by crossing bridges. Each bridge needs to be crossed once and once only. Pentadd Quiz Find the five numbers which when added or multiplied together in pairs to produce the given totals. Find the five numbers which when added or multiplied together in pairs to produce the given totals. Digimoji Crack the emoji code by testing equations and spotting patterns. Crack the emoji code by testing equations and spotting patterns. Prime Labyrinth Find the path to the centre of the labyrinth by moving along the prime numbers. Prime Labyrinth Find the path to the centre of the labyrinth by moving along the prime numbers. Truculent Can you arrange the seven counters on the grid despite their truculent behaviour? Can you arrange the seven counters on the grid despite their truculent behaviour? Maths Crossword An interactive mathematical crossword for you to do online. Find the missing words from the given clues. Maths Crossword An interactive mathematical crossword for you to do online. Find the missing words from the given clues. Word Search Find the mathematical words in the grid of letters. Find the mathematical words in the grid of letters. Area Maze Use your knowledge of rectangle areas to calculate the missing measurement of these composite diagrams. Use your knowledge of rectangle areas to calculate the missing measurement of these composite diagrams. Counting To and Fro A puzzle about the counting method that goes back and forth. Counting To and Fro A puzzle about the counting method that goes back and forth. Tantrum A game, a puzzle and a challenge involving counters being placed at the corners of a square on a grid. A game, a puzzle and a challenge involving counters being placed at the corners of a square on a grid. Scallywags and Scoundrels 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. Scallywags and Scoundrels 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. Camp Bosrow Place the camping items into the plots on the camp site according to the clues given. Place the camping items into the plots on the camp site according to the clues given. No Partner Find which numbers in a given list do not combine with other numbers on the list to make a given sum. Find which numbers in a given list do not combine with other numbers on the list to make a given sum. Thrice 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. 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. Dominoes Puzzle 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. Dominoes Puzzle 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. Framed Numbers Figure out which numbers will complete the sentences in the frame correctly. A drag and drop activity. Figure out which numbers will complete the sentences in the frame correctly. A drag and drop activity. The Miller's Puzzle This is an interactive version of the puzzle described by Henry Ernest Dudeney in The Canterbury Puzzles The Miller's Puzzle This is an interactive version of the puzzle described by Henry Ernest Dudeney in The Canterbury Puzzles Stepwise Sums Arrange the numbers one to nine on the stairs to obtain the given sums. Arrange the numbers one to nine on the stairs to obtain the given sums. StatGrid Challenge Arrange the numbers one to nine in a three by three grid to obtain the given means, medians and ranges. StatGrid Challenge Arrange the numbers one to nine in a three by three grid to obtain the given means, medians and ranges. Delightfully Divisible Arrange the digits one to nine to make a number which is divisible in the way described. Delightfully Divisible Arrange the digits one to nine to make a number which is divisible in the way described. Logic Puzzle Solve this deduction logic puzzle to find who, where and what. Solve this deduction logic puzzle to find who, where and what. Nine Nine Nine Use the digits 1 to 9 to make three 3 digit numbers which add up to 999. Use the digits 1 to 9 to make three 3 digit numbers which add up to 999. All For One Drag the numbers one to nine onto the outlines of three fractions that combine to make one. Drag the numbers one to nine onto the outlines of three fractions that combine to make one. Spinsum Arrange the numbers on the squares so that the totals along each line of three squares are equal. Arrange the numbers on the squares so that the totals along each line of three squares are equal. Pattern Clues An interactive activity challenging you to reproduce a pattern of coloured squares according to given clues. An interactive activity challenging you to reproduce a pattern of coloured squares according to given clues. Brainbox A puzzle requiring the arrangement of numbers on the function machines to link the given input numbers to the correct output. A puzzle requiring the arrangement of numbers on the function machines to link the given input numbers to the correct output. Zygo Interactive, randomly-generated, number-based logic puzzle designed to develop numeracy skills. Interactive, randomly-generated, number-based logic puzzle designed to develop numeracy skills. Online Sudoku An online, interactive version of the popular number placing puzzle. An online, interactive version of the popular number placing puzzle. Factor Trees Challenge Can you determine the unique digits that will complete these factor trees? Factor Trees Challenge Can you determine the unique digits that will complete these factor trees? Systematic Easter Eggs Drag the eggs into the cells. There should be no more than one copy of each egg in any row or column. Systematic Easter Eggs Drag the eggs into the cells. There should be no more than one copy of each egg in any row or column. Express Percentage Puzzle Drag the numbers into the percentage statements to make them true. Express Percentage Puzzle Drag the numbers into the percentage statements to make them true. Puzzle Cube Net A jumbled moving-block puzzle cube is shown as a net. Can you solve it? Puzzle Cube Net A jumbled moving-block puzzle cube is shown as a net. Can you solve it? Yohaku 3by3 Puzzles Fill in the blank spaces so that the cells give the sum or the product shown in each row and column. Yohaku 3by3 Puzzles Fill in the blank spaces so that the cells give the sum or the product shown in each row and column. Yohaku 4by4 Puzzles Fill in the blank spaces so that the cells give the sum or the product shown in each row and column. Yohaku 4by4 Puzzles Fill in the blank spaces so that the cells give the sum or the product shown in each row and column. Yohaku Puzzles Fill in the blank spaces so that the cells give the sum or the product shown in each row and column. Fill in the blank spaces so that the cells give the sum or the product shown in each row and column. Partition Clues Partition numbers in different ways according to the clues given. The higher levels are quite hard! Partition Clues Partition numbers in different ways according to the clues given. The higher levels are quite hard! Where's Wallaby? Find the hidden wallaby using the clues revealed at the chosen coordinates. Where's Wallaby? Find the hidden wallaby using the clues revealed at the chosen coordinates. Egg Timers The classic hourglass puzzle; Time the boiling of an egg using only the two egg timers provided. The classic hourglass puzzle; Time the boiling of an egg using only the two egg timers provided. Jugs Can you make four litres if you only have seven and five litre jugs? Can you make four litres if you only have seven and five litre jugs? Code Cracker Crack the code by replacing the encrypted letters in the given text. There are lots of hints provided about code breaking techniques. Crack the code by replacing the encrypted letters in the given text. There are lots of hints provided about code breaking techniques. Prime Numbers Jigsaw Interactive jigsaw puzzles of different types of grids containing prime numbers. Prime Numbers Jigsaw Interactive jigsaw puzzles of different types of grids containing prime numbers. Thai Numbers Jigsaw An online interactive jigsaw puzzle of a grid of Thai number symbols. Thai Numbers Jigsaw An online interactive jigsaw puzzle of a grid of Thai number symbols. Chinese Numbers Jigsaw An online interactive jigsaw puzzle of a grid of Chinese number symbols. Chinese Numbers Jigsaw An online interactive jigsaw puzzle of a grid of Chinese number symbols. How Many Squares? 2 How many different sets of four dots can be joined to form a square? How Many Squares? 2 How many different sets of four dots can be joined to form a square? Vocabero Find the mathematical word from a series of guesses and clues. Find the mathematical word from a series of guesses and clues. Equatero Find the expression from a series of guesses and clues. Find the expression from a series of guesses and clues. Fleur-De-Lis Click on six fleur-de-lis to leave an even number in each row and column. Click on six fleur-de-lis to leave an even number in each row and column. Match Fish By moving just three matches can you make it look as though the fish is swimming to the left? By moving just three matches can you make it look as though the fish is swimming to the left? Tower of Hanoi Move the pieces of the tower from one place to another in the minimum number of moves. Move the pieces of the tower from one place to another in the minimum number of moves. Ludicross Arrange the given numbers on the cross so that the sum of the numbers in both diagonals is the same. Arrange the given numbers on the cross so that the sum of the numbers in both diagonals is the same. Largest Product A drag and drop activity challenging you to arrange the digits to produce the largest possible product. Largest Product A drag and drop activity challenging you to arrange the digits to produce the largest possible product. Congruent Parts Use the colours to dissect the outlines into congruent parts. Congruent Parts Use the colours to dissect the outlines into congruent parts. Similar Parts Use the colours to dissect the outlines into similar parts. Use the colours to dissect the outlines into similar parts. Overloaded Fraction A set of ten puzzles requiring you to arrange the given digits to make an equivalent fraction. Overloaded Fraction A set of ten puzzles requiring you to arrange the given digits to make an equivalent fraction. Product Square Arrange the given numbers in a three by three grid to obtain the diagonal, row and column products. Arrange the given numbers in a three by three grid to obtain the diagonal, row and column products. Clue Sudoku A different way to complete a Sudoku puzzle with clues available at every stage. A different way to complete a Sudoku puzzle with clues available at every stage. Plane Numbers Arrange numbers on the plane shaped grid to produce the given totals Arrange numbers on the plane shaped grid to produce the given totals Cryptographic Fill in the squares according to the clues given by the string of numbers for each row and column. Fill in the squares according to the clues given by the string of numbers for each row and column. Unbeknownst Some picture grid puzzles which can be solved by using simultaneous equations. Some picture grid puzzles which can be solved by using simultaneous equations. Groups of Four A simplified version of the challenge seen in the TV programme Only Connect. Find the connections between the terms. A simplified version of the challenge seen in the TV programme Only Connect. Find the connections between the terms. Partial Pyramids Calculate the missing numbers in these partly completed pyramid puzzles. Partial Pyramids Calculate the missing numbers in these partly completed pyramid puzzles. Pyramid Puzzle Numbers in the bricks are found by adding the two bricks immediately below together. Can you achieve the given target? Numbers in the bricks are found by adding the two bricks immediately below together. Can you achieve the given target? The Broken Chessboard Puzzle The chessboard has been broken into 13 pieces. Can you put it back together? The Broken Chessboard Puzzle The chessboard has been broken into 13 pieces. Can you put it back together? Doughnut Dissection A puzzle to find four different ways of making 900 by multiplying together three different numbers. Doughnut Dissection A puzzle to find four different ways of making 900 by multiplying together three different numbers. Power Shift Arrange the given numbers as bases and indices in the three-term sum to make the target total. Arrange the given numbers as bases and indices in the three-term sum to make the target total. Satisfaction This is quite a challenging number grouping puzzle requiring a knowledge of prime, square and triangular numbers. This is quite a challenging number grouping puzzle requiring a knowledge of prime, square and triangular numbers. Squorder The Transum version of the traditional sliding tile puzzle. The Transum version of the traditional sliding tile puzzle. Mine Find Find where the mines are hidden without stepping on one. Find where the mines are hidden without stepping on one. Pentominoes Arrange the twelve pentominoes in the outline of a rectangle. Arrange the twelve pentominoes in the outline of a rectangle. Number Jigsaws Online, interactive jigsaw puzzles of grids of numbers. Online, interactive jigsaw puzzles of grids of numbers. Roman Numerals Jigsaw An online interactive jigsaw puzzle of a grid of Roman numerals. Roman Numerals Jigsaw An online interactive jigsaw puzzle of a grid of Roman numerals. Magic Square Jigsaws Interactive jigsaw puzzles of four by four magic squares. Magic Square Jigsaws Interactive jigsaw puzzles of four by four magic squares. Plus A number arranging puzzle with seven levels of challenge. A number arranging puzzle with seven levels of challenge. Car Park Puzzle Can you get your car out of the very crowded car park by moving other cars forwards or backwards? Car Park Puzzle Can you get your car out of the very crowded car park by moving other cars forwards or backwards? One Digit Only Find expressions using only one digit which equal the given targets. Find expressions using only one digit which equal the given targets. Centexpression Arrange the numbers from 1 to 9 to make an expression with a value of 100. Arrange the numbers from 1 to 9 to make an expression with a value of 100. Perfect Magic Square 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. Perfect Magic Square 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. Octagram Star Arrange the sixteen numbers on the octagram so that the numbers in each line add up to the same total. Arrange the sixteen numbers on the octagram so that the numbers in each line add up to the same total. Hexagram Star Arrange the twelve numbers on the hexagram so that the numbers in each line add up to the same total. Arrange the twelve numbers on the hexagram so that the numbers in each line add up to the same total. Triangled Hexagram 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. Triangled Hexagram 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. Awe-Sum Arrange the given digits to make six 3-digit numbers that combine in an awesome way. Arrange the given digits to make six 3-digit numbers that combine in an awesome way. Goal Products Arrange the numbered footballs on the goal posts to make three, 3-number products that are all the same. Arrange the numbered footballs on the goal posts to make three, 3-number products that are all the same. Circumfraction Quite a challenging number placing puzzle involving fractions. Quite a challenging number placing puzzle involving fractions. Magic Square Each row, column and diagonal should produce the same sum. Each row, column and diagonal should produce the same sum. Unmagic Square Like the magic square but all of the totals should be different. Like the magic square but all of the totals should be different. One Torch Tunnel Solve the problem of getting four people through a tunnel with one torch in the minimum amount of time. One Torch Tunnel Solve the problem of getting four people through a tunnel with one torch in the minimum amount of time. Separated Twins Can you find a 6 digit number containing two each of the digits one to three which obeys the rules given? Separated Twins Can you find a 6 digit number containing two each of the digits one to three which obeys the rules given? Without Lifting The Pencil Can you draw these diagrams without lifting your pencil from the paper? This is an interactive version of the traditional puzzle. Without Lifting The Pencil Can you draw these diagrams without lifting your pencil from the paper? This is an interactive version of the traditional puzzle. River Crossing The traditional River Crossing challenge. Can you do it in the smallest number of moves? The traditional River Crossing challenge. Can you do it in the smallest number of moves? Digivide Arrange the numbers from 1 to 6 in the spaces to make the division calculation correct. Arrange the numbers from 1 to 6 in the spaces to make the division calculation correct. Scouts in Boats Arrange a rota for the Scouts to travel in boats so that they are with different people each day. Scouts in Boats Arrange a rota for the Scouts to travel in boats so that they are with different people each day. Quad Areas Calculate the areas of all the possible quadrilaterals that can be constructed by joining together dots on this grid. Calculate the areas of all the possible quadrilaterals that can be constructed by joining together dots on this grid. Four Sum Arrange the given number tiles to make two 2 digit numbers that add up to the given total. Arrange the given number tiles to make two 2 digit numbers that add up to the given total. Path Puzzle A great puzzle requiring you to use all of the cards to create a continuous red line from start to finish. A great puzzle requiring you to use all of the cards to create a continuous red line from start to finish. Lemon Law Change the numbers on the apples so that the number on the lemon is the given total. Change the numbers on the apples so that the number on the lemon is the given total. Scheduling Puzzle Make a schedule for the 24-hour Darts Marathon which will take into account everyone's requests and keep everyone happy. Scheduling Puzzle Make a schedule for the 24-hour Darts Marathon which will take into account everyone's requests and keep everyone happy. Online Psychic Let the psychic read the cards and magically reveal the number you have secretly chosen. What is the mathematics that makes this trick work? Let the psychic read the cards and magically reveal the number you have secretly chosen. What is the mathematics that makes this trick work? Numskull Interactive, randomly-generated, number-based logic puzzle designed to develop numeracy skills. Interactive, randomly-generated, number-based logic puzzle designed to develop numeracy skills. Addle Arrange the numbers from 1 to 14 in the spaces to make the sums correct. How fast can you do it? Arrange the numbers from 1 to 14 in the spaces to make the sums correct. How fast can you do it? Suko Sujiko Interactive number-based logic puzzles similar to those featuring in daily newspapers. Interactive number-based logic puzzles similar to those featuring in daily newspapers. Latin Square Puzzles Arrange the given digits to make a Latin square with the given row and column calculation results. Latin Square Puzzles Arrange the given digits to make a Latin square with the given row and column calculation results. Polygon Pieces Arrange the nine pieces of the puzzle on the grid to make different polygons. Arrange the nine pieces of the puzzle on the grid to make different polygons. Pu Wiang A fewest-moves, counter-swapping challenge invented in northern Thailand. A fewest-moves, counter-swapping challenge invented in northern Thailand. Frustration A logic challenge requiring a strategy to update each of the numbers in a grid. A logic challenge requiring a strategy to update each of the numbers in a grid. Prime Square 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. 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. Mixpressions Arrange the cards to create a valid mathematical statement. Arrange the cards to create a valid mathematical statement. Pancake Day Toss the pancakes until they are neatly stacked in order of size. Find how to do this using the smallest number of moves. Toss the pancakes until they are neatly stacked in order of size. Find how to do this using the smallest number of moves. Vector Cops Help the cops catch the robbers by finding the vectors that will end the chase. Help the cops catch the robbers by finding the vectors that will end the chase. Trafalgar Square Solve the number puzzles drawn on the pavement of Trafalgar Square in London. Trafalgar Square Solve the number puzzles drawn on the pavement of Trafalgar Square in London. Triside Totals 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. 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. Multitude Arrange the given digits to make three numbers such that the third is the product of the first and the second. Arrange the given digits to make three numbers such that the third is the product of the first and the second. Double Treble 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. 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. Not Too Close The students numbered 1 to 8 should sit on the chairs so that no two consecutively numbered students sit next to each other. The students numbered 1 to 8 should sit on the chairs so that no two consecutively numbered students sit next to each other. Tools In how many different ways can the numbers be arranged to give the same totals? In how many different ways can the numbers be arranged to give the same totals? Window View Drag the 20 flowers into the gardens so that 9 flowers are visible from each window of the house. Drag the 20 flowers into the gardens so that 9 flowers are visible from each window of the house. Shapes In The Stars Join up the stars to find the hidden regular polygons. Shapes In The Stars Join up the stars to find the hidden regular polygons. Satisfy Place the nine numbers in the table so they obey the row and column headings about the properties of the numbers. Place the nine numbers in the table so they obey the row and column headings about the properties of the numbers. T Puzzle Use the pieces of the T puzzle to fit into the outlines provided. A drag, rotate and drop interactive challenge. Use the pieces of the T puzzle to fit into the outlines provided. A drag, rotate and drop interactive challenge. Magic Square Puzzle Find all of the possible ways of making the magic total from the numbers in this four by four magic square. Magic Square Puzzle Find all of the possible ways of making the magic total from the numbers in this four by four magic square. The following puzzles are from the Transum monthly Newsletters and Podcasts. Long way to Tipperary What is the fairest way to share the taxi fare with Mr Pernickety? Newsletter Podcast Master of the House How old are the Thénardiers given the clues about their ages? Newsletter Podcast Mrs Brambleshaw's Apples How many young Pickles were there if they all received the same amount of fruit? Newsletter Podcast Solvitude Festival Help Madam Mushnik distribute the coins so that the three festival rules are obeyed. Newsletter Podcast Knights of the Circular Table Where should the 5 knights sit around King Arthur's round table. Newsletter Podcast Quazmere Quadrant Green Glades and Orange Orchards. Find a radius in Quazmere Quadrant Newsletter Podcast A Penguin and a Crab What time did the Penguin's waddling and Crab's scuttling begin? Newsletter Podcast Badges for the Cods How much do Mr and Mrs Cod pay for badges for their children? Newsletter Podcast New Year Fence Painting When in the year will I require the most paint according to my fence painting routine? Newsletter Podcast Holly and Mistle How quickly can each of Santa's elves fill the sack with presents? Newsletter Podcast Rock, Paper, Scissors A competition between three players, two at a time. Who won the second game? Newsletter Podcast Going to Saint Bees What is the remainder when the number of eggs in the St Bees trees has been divided by six? Newsletter Podcast Farmers A and B How many cows did Farmer A own if, when he sells them, he receives the same amount of money as Farmer B? Newsletter Podcast A Really Mean Number Find a number that is the mean (average) of it's own digits. Newsletter Podcast Rectangle in Triangle What is the area of the rectangle given clues about the triangle that surrounds it? Newsletter Podcast How many pieces of the jigsaw puzzle do not have any straight edges? Newsletter Podcast Speakers with Blue Teeth If pounds change places with pence can you calculate the cost of a speaker? Newsletter Podcast The Price of Easter Eggs The cost of Easter eggs came down by 30p per dozen. How many did I buy? Newsletter Podcast Sharing Trophies How can Miss Adgood share her trophies between her three younger brothers? Newsletter Podcast Triangles in Hexagons How many different asymmetrical triangles can be drawn by joining three of the vertices of a regular hexagon? Newsletter Podcast Teaching the Wrong Class Will the last teacher out of the staffroom teach their timetabled class? Newsletter Podcast How far did Prancer walk while Santa was delivering presents to Tran Towers? Newsletter Podcast Planets Orbiting Vesperion How many moons does Nymeria have given some mean clues? Newsletter Podcast Pumpkin Price Puzzle What was the mean number of pumpkins that could be bought for £20? Newsletter Podcast Winter Draws On What fraction of the group wore all three items: hats, scarves, and gloves? Newsletter Podcast Three Numbers, Four Clues Given information about the mean, median and range, figure out what the three numbers are. Newsletter Podcast Pirate Pearl's Treasure Can you figure out how many stones of each colour there are in the pirate's cove? Newsletter Podcast A judge is twice as old as her wig was when she was as old as her wig is now. Newsletter Podcast Maths Equipment What percentage of the class brought all the required maths equipment to the lesson? Newsletter Podcast What is the letter D worth? From the clues about A, B and C can you work out the value of D? Newsletter Podcast Easter Egg Evaluation What is the largest number of eggs that cannot be purchased using a combination of the given basket sizes? Newsletter Podcast Leap Year February What birthday did Attika celebrate in the last leap year of the last century? Newsletter Podcast Justin's New Year's Resolution How many days in January will Justin be able to go for a jog? Newsletter Podcast Mean Spending On Christmas Presents Work out the cost of the most expensive gift given the mean cost and other clues. Newsletter Podcast End of Squares and Cubes How many positive two-digit numbers are there whose square and cube both end in the same digit? Newsletter Podcast Whopping Million Find two whole numbers, not containing zeros, that when multiplied, give a million. Newsletter Podcast Divided Dartboard A dartboard splits in two. One piece's numbers sum to twice the other's. Where's the break? Newsletter Podcast Calamity Cousins Work out the range of the ages of the cousins given the average clues. Newsletter Podcast If x and y are positive integers and x + xy + y = 90, what is the sum of x and y? Newsletter Podcast Indices are powerful exponents! If x squared equals sixteen to the power of x. Find the value of x. Newsletter Podcast Letters in a Sentence Write a number in words in the gap in the sentence that will make the statement true. Newsletter Podcast Cupcakes and Easter Eggs Work out how many children there were eating cupcakes from the given clues. Newsletter Podcast One Hundred Puzzle Can you make 100 from four sevens and a zero? Newsletter Podcast Palindromic Numbers Work out Mr Wheeler's average speed given the palindromic numbers seen on his odometer. Newsletter Podcast Six Three-Letter Words Work out the teacher's favourite word from the statements made by the clever students. Newsletter Podcast Coloured Ornaments How many ornaments are on the tree and how many of each colour are there? Newsletter Podcast Same Probability Why are the probabilities the same of picking two balls with an odd sum from two different pots? Newsletter Podcast What is the best way to settle the debts of the four friends? Newsletter Podcast What is the correct result of the calculation that has become a viral talking point on the internet? Newsletter Podcast Holiday Island Weather Work out the length of my holiday from the clues about the weather. Newsletter Podcast Weighted Puzzle What four weights would enable me to use the balance scales to weigh any object from 1 to 40 pounds? Newsletter Podcast Alphabetical Numbers Arange all the natural numbers in alphabetical order - which number comes second? Newsletter Podcast Number the faces of the cubes to make strange dice with a minimum face sum. Newsletter Podcast Leaving Transumvania Find where the drone catches up with the ship given their relative speeds. Newsletter Podcast Find a nice method to work out which number on the dice is uppermost after rolling across a chess board. Newsletter Podcast Sisters Outnumbering Brothers Work out the total number of children in Rachel's family using the clues about brothers and sisters. Newsletter Podcast Time and Calendars How many times in a 24 hour period do all four digits on my bedside clock change at the same time? Newsletter Podcast Santa's Small Window How do you increase the area of a window without changing its height or width? Newsletter Podcast How Much Richer? A puzzle about the relative wealth of Maureen compared to Doreen. Newsletter Podcast Factor Shopping Find the prices of the items bought if they are different and all factors of the total bill. Newsletter Podcast Splitting Ten for a Product Which of the many ways of splitting ten gives the largest product? Newsletter Podcast Where's the Father What seems like a familiar puzzle has an unusual twist. Newsletter Podcast A Frobenius coin problem What is the largest amount that cannot be made with 5p and 7p coins? Newsletter Podcast Bus Fare Premonition How did the bus driver know how much to charge Mrs P and Mrs Q? Newsletter Podcast A Half Mean Angle Find the size of the angle at A if it is half of the mean of the angles at B and C. Newsletter Podcast The cost of a meal increases by 4% to a whole number of pounds. Newsletter Podcast Chris and his Unpredictable Kids A think of a number puzzle with an unpredictable element. Newsletter Podcast Find the ages of Keith and Kath from the clues given. Newsletter Podcast Two-Faced and Blue How many of the smaller cubes that make up the 3x3 cube have two faces painted blue? Newsletter Podcast What temperature is reported using the same number in Celsius and Fahrenheit? Newsletter Podcast Three Trios of Triplets Thrice A simple question that seventy two percent of a group of people got wrong. Newsletter Podcast Trains Together How far apart will the trains be half an hour before they meet? Newsletter Podcast Can the pirates win their freedom by tying the six pieces of rope into one large loop? Newsletter Podcast Bogdan and Wally In what order should you play Ultimate Noughts and Crosses against Wally and Bogdan? Newsletter Podcast What's My Name Riddle Work out the name from the rhyming riddles. Newsletter Podcast Mathematical Days What is the date of the next Pythagorean Theorem Day? Newsletter Podcast Eva's Eggs and Fickle Fractions How many eggs did Eva take to market in order to make those strange half sales? Newsletter Podcast Feeding Fools and Horses How long will the horse feed last the horses after some of them left the stables? Newsletter Podcast Balancing Balloons How many balloons must Jamie give to Ben to balance the balloon equation? Newsletter Podcast A Puzzle from Carl Carl's puzzle is about the result of dividing the product of his parents' ages by double his own age. Newsletter Podcast Odds from evens up to 2020 Subract the sum of the odd numbers less than 2020 from the sum of the even numbers less than 2020. Newsletter Podcast Noel in Lapland Work out the length of Noel's trip to Lapland given the details of the weather conditions. Newsletter Podcast Multiple Remainders What is the second smallest number such that when it is divided by 5 the remainder is 4, and when divided by 7 the remainder is 6? Newsletter Podcast Coaches to Cambridge Can you figure out which coach I travelled in when I went to Cambridge? Newsletter Podcast Percy Cod's Kids Percy Cod was talking about his children. Can you work out their ages given the ratios? Newsletter Podcast Carrot-eating Critters

Work out how many of each kind of animal are in the field from their carrot-eating habits. Newsletter Podcast Red Arrow Square What fraction of the square does the red arrow cover? Newsletter Podcast Patsy Loves Percy The strange case of Percy who seems to be getting older very quickly Newsletter Podcast Monkeys, Kittens and Dogs Who is most likely to be able to work out the square root of 121? Newsletter Podcast Feed The Horses How long will the remaining feed last the horses that have not been sold? Newsletter Podcast Strange Addition If I start at five and add six I get eleven but if I start at six and add seven I get one. Newsletter Podcast Prime Permutations Of all the permutations of 1 to 9 used to make nine-digit numbers, how many are prime? Newsletter Podcast 4-Digit Hotel Room Safe Code Can you work out what number I used to lock and unlock my hotel room safe? Newsletter Podcast Choir Eye Colour Figure out the percentage of choir members that do not have blue eyes from the clues given. Newsletter Podcast Calculator Keys at the Corners of a Rectangle A question about the four keys at the corners of a rectangle on a calculator. Newsletter Podcast Average House Numbers Work out the house numbers from the clues about the mean, median and mode. Newsletter Podcast Clock in the Mirror What time was the clock in the mirror really showing? Newsletter Podcast Delightfully Divisible Find a pandigital number that is delightfully divisible. Newsletter Podcast Five integers with a product of 12 Can you find five integers that multiply together to give twelve? Newsletter Podcast Square in a Rectangle What is the largest square that can be drawn in the corner of a 10cm by 15cm rectangle? Newsletter Podcast London Marathon A question about the average speed required for the second half of the marathon. Newsletter Podcast Cutting the Lawn Aynuk and Ayli cut half of the lawn each. How long is each side of the square lawn? Newsletter Podcast The Missing Pound's Found A really wonderful answer to the missing pound puzzle. Newsletter Podcast Forty Five in Four Parts Split the number 45 into four parts according to the given information. Newsletter Podcast Shrivelled Spuds Work out the weight of the potatoes after they have been left out in the sun to dry. Newsletter Podcast Transposition Error Work out the bank balance given information about the transposition error. Newsletter Podcast Work out the number of sheep owned by Percy and Patsy from the given clues. Newsletter Podcast Juggling with Egg Timers Can you time exactly nine minutes using the four and seven minute egg timers? Newsletter Podcast Permutation Sum What is sum of all the four digit numbers containing all of the digits one to four? Newsletter Podcast Odd Probability What is the probability that two random numbers are both even if they are not both odd? Newsletter Podcast Regions in Circles Calculate the number of regions in a circle formed by intersecting chords. Newsletter Podcast Brothers and Sisters Can you work out the number of children in the Numlove family given the clues about brothers and sisters? Newsletter Podcast What mark is required in the last exam to achieve an 80% overall average? Newsletter Podcast Where should the last slice of cake be cut to give two equal pieces? Newsletter Podcast Calculate the remaining volume of the sphere after a cylindrical hole has been drilled through the centre Newsletter Podcast How many different places could the flea find itself after 8 foot-long jumps either north, south, east or west? Newsletter Podcast How many positive two-digit numbers are there whose square and cube both end in the same digit? Newsletter Podcast 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. Newsletter Podcast Is it possible to answer the question if Betsy's age is not known? Newsletter Podcast Separated Twins Work out the combination of the safe given the clues about pairs of numbers. Newsletter Podcast Divisible By Three A puzzle about two digit numbers that can be made from ten different digits. Newsletter Podcast Letters In Numbers A brand new puzzle involving the letters in numbers when written as words. Newsletter Podcast Square Angled Triangle The angles of a triangle are all square numbers. What are they? Newsletter Podcast Tri-Junction Puzzle What is the probability of the three cars arriving at the road junction not being involved in an accident? Newsletter Podcast Two Prime Squares What is the smallest square number (greater than one) that cannot be expressed as the sum of two prime numbers? Newsletter Podcast The Missing Pound Where did the missing pound go in this story about three people visiting a restaurant? Newsletter Podcast Ticks, Tocks, Tacks and Tucks Find how ticks compare to tocks, tacks and tucks from the given information. Newsletter Podcast The Power of Christmas A question about indices to get you thinking mathematically at this festive time of year. Newsletter Podcast What single question could Dec ask Ant to find out what he is thinking? Newsletter Podcast How far does the bookworm travel on its meal-time journey? Newsletter Podcast Three Mathematicians How can the third mathematician be so certain that everyone wants a drink? Newsletter Podcast Unfinished Game If the coin tossing game was cut short how would you share the winnings? Newsletter Podcast Alphanumbetical Questions about the letters used to make the natural numbers. Newsletter Podcast Which of the unusual dice would you choose to give you the best chance of winning the prize? Newsletter Podcast The Birthday Problem What is the probability of two or more pupils in a class having the same birthday? Newsletter Podcast A coding question inspired by the film The Imitation Game. Newsletter Podcast A mathematical question asked by Microsoft and Google interviewers. Newsletter Podcast Twelve Days of Christmas Can you figure out exactly how many gifts the true love sends during the twelve days of the Christmas holiday? Newsletter Podcast 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 Newsletter Podcast Halloween Bases A puzzle about Why is halloween like Christmas along with news of the new Number Skills Inventory Newsletter Podcast A puzzle about four people making their way through a tunnel with just one torch along with news of the new numerology page Newsletter Podcast A puzzle about a cube being lowered into a bucket of milk along with news of the new shunting puzzles Newsletter Podcast The following puzzles are all Starters of the Day A little lateral thinking might help you solve this puzzle. Can you write an ex pression for 100 which uses all the digits 1 to 9? Alphanumbetical A challenge to find the number which when written as a word has all the letters in alphabetical order. This lesson starter requires pupils to find the missing numbers in this partly completed arithmagon puzzle. Work out the contents and the cost of the Christmas boxes from the given clues. Bridge Crossing The classic puzzle of finding a route which crosses each bridge once. Broken Calculator (3 and 4) Some keys are missing from this calculator. Just how useful is it? Christmas Ornaments A Maths Starter activity requiring students to arrange Christmas ornaments in a square box. Coins On The Table A puzzle about the number of coins on a table given information about fractions of them. What numbers should be on each face of the two cubes to make this perpetual calendar? A number placing puzzle which, when solved, raises the notion of proof. Eleven Plus Two Rearrange the letters in the ex pression 'Eleven Plus Two' to make another ex pression with the same value. Figure out which numbers will complete the sentences in the frame correctly. Freemason's Cipher Find symmetric words in this ancient cipher. The numbers on five houses next to each other add up to 70. What are those five numbers? A little lateral thinking will help you solve this number puzzle. How Many Squares? 1 Work out how many squares are there altogether in the given pattern then tackle the chess board. How Many Squares? 2 How many squares can be found by joining four dots on the grid? Intents Excitement Work out the mathematical words missing from the story about buying a tent. Change the numbers on the apples so that the number on the lemon is the given total. Letter Clue Calculations Work out what the calculations might be from the letter clues. Match the fractions to their decimal equivalents and join them with lines that do not cross. A classic matchstick puzzle designed to challenge your spacial awareness. Maths Crossword A small crossword puzzle containing mathematical words. Maths In School Find mathematical words which can be made by using the letters in the name of your school? Guess the four digit number with help from the clues. The bottom half of some symmetrical calculations are shown above. Can you work out the answers? A puzzle about a restaurant bill. Exactly where did the missing pound go? Missing Square Puzzle The missing square puzzle is an optical illusion used to help students reason about geometrical figures. Work out which team played which from the information given. Mystery Numbers Can you recognise the mystery numbers from the clues? Work out why subtracting a two digit number from its reverse gives a multiple of nine. Follow the compass directions given in the squares to find where the route starts? Arrange the digits one to nine to make a correct addition calculation. This activity requires eight students to sit non consecutively on a grid of chairs. Noughts and Crosses In how many different ways can the first X and O by placed on the grid? How many ways can you write an expression for 100 which only uses the same digit repeated and any operations? 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? Can you solve this paradox by agreeing whether the statements are right or wrong? Five numbers are added together in pairs and the sums shown. What might the five numbers be? Pipeline Puzzle Arrange the numbers so that the totals of the three numbers along any pipe are the same. A number puzzle suitable for children with a wide range of abilities. Go around the roundabout performing each of the operations. Which starting point gives the largest answer? 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. Can you draw 4 straight lines, without taking your pencil off the paper, which pass through all 9 roses? Place a symbol between the four and the five to get a number greater than four and less than five. Separated Twins Can you find a 14 digit number containing two each of the digits one to seven which obeys the rules given? Small Satisfaction Arrange the digits one to nine in the grid so that they obey the row and column headings. Arrange the numbered trees so that adjacent sums are square numbers. Squared Animals Separate three rows of three animals using three squares. What is the sum of the numbers missing from the given Sudoku puzzle? Interactive number-based logic puzzle similar to those featuring in The Times and Telegraph newspapers. Sum Equals Product What are the numbers if their sum equals their product? 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? Arrange the numbers one to eight into the calculations to make the totals correct.. THOAN stands for 'Think of a number' and there are four randomly generated THOAN puzzles to solve. Place the numbers on the triangle so that the totals along each of the sides are equal. Two Twins and Tim A tricky problem set on a coordinate grid. Work out the phone number from the clues given. A starter about sums, products, differences, ratios, square and prime numbers. Create your own mathematical word search for the whole class to enjoy. Each letter stands for a different digit. Can you make sense of this word sum? The following puzzles are the Transum Advanced Starters. Airport Security The old lady has a misconception about conditional probability Advanced Starter Algebraic Product Finding the value of the expression is easier than you think! Advanced Starter Find the range of possible angles, x, for which tan x > cos x > sin x Advanced Starter Find reasons why the area of this large right-angled triangle might not be 20 square centimetres Advanced Starter Average Cycling Speed Work out the average speed of two journeys. The obvious answer is not the correct answer. Advanced Starter Back To The Factory Find all the numbers below 1000 which have exactly 20 factors Advanced Starter A misleading way of stating the answer to a simple calculation. Advanced Starter Bertrand's Box Paradox Bertrand's box paradox is a paradox of elementary probability theory, first posed by Joseph Bertrand in 1889 Advanced Starter Which of the unusual dice would you choose to give you the best chance of winning the prize? Advanced Starter Use a biased coin to obtain a fair result Advanced Starter Car Inequalities Solve three simultaneous inequalities to find how many cars I own. Advanced Starter A question about fractional indices Advanced Starter Catering for a Function Find f(x) given f(x-1). Advanced Starter Charging Rhinos Find the easy way to solve this kinematics problem involving a fly and two rhinos. Advanced Starter Cheryl's Birthday Use a process of elimination to work out the correct date from the clues given. Advanced Starter Chris Smith's 688th Puzzle Simplify the sequence of logarithms Advanced Starter Coordinate Distance Find k given that(-2,k) is 13 units away from (10,9) Advanced Starter Cos 10 Equals p Find the trigonometric values in terms of the given value, p. Advanced Starter Find the dimensions of a cuboid matching the description given Advanced Starter How many right angles are there in a semicircle? Advanced Starter Difference Cipher Find the mathematical word from the cipher Advanced Starter Differentiation Workout Eight basic functions that need differentiating with respect to x Advanced Starter Divisible by 11 Can you prove that a three digit number whose first and third digits add up to the value of the second digit must be divisible by eleven? Advanced Starter Double or Half? At ten percent change per day is doubling achieved faster than halving? Advanced Starter Eight to the Unknown Solve the equation using the laws of indices Advanced Starter Find the number whose double exceeds its half by exactly 99. Advanced Starter Exponential Trigonometry Find, in degrees, all eight of the solutions to the given exponential, trigonometric equation Advanced Starter Fence Optimisation Find the length of a rectangle enclosing the largest possible area. Advanced Starter The classic Fermi problem using standard estimation techniques Advanced Starter Find The Radius Find the radius of the circle from the small amount of information provided. Advanced Starter Fortune's Throw A question about the sum of two dice not being equally probable. Advanced Starter Four Fraction Division Explain why the answer to a series of fraction divisions is a whole number. Advanced Starter Fruitless Field Optimisation Advanced Starter Produce the given graph on a graphic display calculator Advanced Starter Find the value of the marked angle in this diagram from the book Geometry Snacks Advanced Starter Ghosts or Papua New Guinea A probability prediction based on a biased sample Advanced Starter How far would grandma have travelled after a suitably large number of days given her walking regime? Advanced Starter The hands of a clock are together at midnight. At what time are they next together? Advanced Starter HCF and LCM given If given the HCF, LCM can you find the numbers? Advanced Starter How Many Left Handers? Work out the number of members if the probability of left-handed members being randomly selected is given. Advanced Starter Hundred and Fifty Percent Divide 110 into two parts so that the larger part is 150% of the smaller part. Advanced Starter Solve x squared equals sixteen to the power of x Advanced Starter Integrals without Integrating Find the integrals without integrating Advanced Starter Is it a Number? A mathematical object is a number if it ... Advanced Starter Prove that a four digit number constructed in a certain way will be a multiple of eleven. Advanced Starter Determine whether the given statements containing logarithms are true or false Advanced Starter Logarithm Equation Solve an equation containing logarithms with different bases Advanced Starter Maximum Product Two numbers add up to 10. What's the largest possible product they could have? Advanced Starter Mean of the Twelfth Terms Find all the sequences of integers containing the given terms. Advanced Starter Multiple of sum of digits What number is six times the sum of its digits? Advanced Starter Find the area of one circle relative to another Advanced Starter Nine Digit Numbers How many different nine digit numbers are their that contain each of the digits from one to nine? Advanced Starter Find the length of the line drawn inside a badly drawn triangle. Advanced Starter One Candle Each What are the chances of getting a candle on each piece of birthday cake? Advanced Starter One Torch Tunnel What is the least amount of time for all four people to walk through the tunnel? Advanced Starter Ostrich Shadows Work out the height of the Ostrich given the information about its shadows. Advanced Starter Other Child's Gender What is the probability that the other child is also a boy? Advanced Starter Pair of Pictures A puzzle about the relative dimensions of two pictures in an art gallery. Advanced Starter Calculate the ratio of the sides of an A4 sheet of paper without any measuring. Advanced Starter Paper Surprising Perimeter Find the perimeter of a folded sheet of A4 paper as described in this short video. Advanced Starter Parabola Area Fractions Find out how the areas of the parabola, a triangle, and a square relate to each other. Advanced Starter Parallel Graphs Determine from their equations which of the straight line graphs are parallel and perpendicular. Advanced Starter Can you place 63 pennies in bags in such a way that you can give away any amount of money (from 1p to 63p) by giving a selection of these prepacked bags? Advanced Starter Perennial Rivals Which football team will be first to win four games? Advanced Starter Permutable Functions Find pairs of functions that are commutative under composition. Advanced Starter Piece of String Find where a piece of string should be cut to form a circle and a square of equal areas. Advanced Starter A problem which can be solved by considering the areas of a triangle and a sector of a circle. Advanced Starter Powers from the Past Find the value of x from the equation on the classroom chalk board Advanced Starter Product of Indices Find the product of the unknown indices that feature in two equations Advanced Starter What shape is created when the midpoints of the sides of a quadrilateral are joined together? Advanced Starter Restrained Flea How many different places could the flea find itself after 8 foot-long jumps either north, south, east or west? Advanced Starter Reverse Connection Find a general rule for the difference between a two digit number and that same number with the digits reversed. Advanced Starter Rice on a Chess Board How many grains of rice are on a chess board if each square has twice the number of grains as the previous square. Advanced Starter An interesting outcome of percentage increase and decrease Advanced Starter Road Connections Design roads to connect four houses that are on the corners of a square, side of length one mile, to minimise the total length of the roads. Advanced Starter Rope Around The World Imagine a long rope wrapped around Earth's equator - One metre longer than it needs to be. Advanced Starter Rounding Up or Down Does 0.4999... round up or down Advanced Starter What is the difference in the number of combinations available for the two safes? Advanced Starter Same Series Sum Find an arithmetic series and a geometric series that have the same sum of the first five terms. Advanced Starter Same Three Digits Find ex pressions which contain indices and evaluate to numbers containing the same digits. Advanced Starter Seventeen Camels Explain the mathematics of the classic ninteenth century fraction sharing story. Advanced Starter Simplify an algebraic fraction Advanced Starter Singers and Dancers What fraction of the singers and dancers are both singers and dancers? Advanced Starter Single Fraction Simplify an expression involving fractions, exponents and a square root. Advanced Starter Sorcerer's Apprentices The difference between random selection and an 'at least' scenario involving sorcerer's apprentices. Advanced Starter Find the diameters of the circles in the corners of the square. Advanced Starter Find the volume of the remaining part of a sphere after a 10cm cylindrical hole has been drilled through it. Advanced Starter Square in Rectangle Find the area of a square drawn under the diagonal of a rectangle Advanced Starter Square Root of 1% What is the square root of one percent? Advanced Starter Starducks' Bill Calculate the number of people in the group of friends given details about the bill for coffee and cakes. Advanced Starter Find the power 2, 4 and 8 must be raised by so that they sum to 39. Advanced Starter Find an exact value for tan 22.5° without using a calculator. Advanced Starter Find the sum of the tangents of angles on a straight line. Advanced Starter Temperature Sum Can you explain why 0 o C + 0 o C does not equal 64 o F Advanced Starter Explore the misconception that when adding fractions you add both the numerators and the denominators Advanced Starter Three Right Triangles Calculate the lengths of the unlabelled sides of these right-angled triangles. Advanced Starter Which of the expressions can be evaluated from the given information? Advanced Starter What is the largest number of bottles that it is not possible to buy if they come in packs of 6, 9, and 20? Advanced Starter A real life situation that can be analysed with the use of a tree diagram. Advanced Starter Triangle or Quadrilateral Can a quadrilateral have a straight angle? Advanced Starter Triangled Rectangle Find the area of the rectangle given information about the two connected right-angles triangles. Advanced Starter Find all the measurements of the given triangle. Advanced Starter What is wrong with the algebraic reasoning that shows that 2 = 1 ? Advanced Starter Use tree diagrams to find the surprising result that probabilities of different situations are the same. Advanced Starter Two real numbers The sum of the reciprocals of two real numbers is -1, and the sum of their cubes is 4. What are they? Advanced Starter Unfinished Game Share the prize in a fair ratio according to the probability of each player winning. Advanced Starter Uniqueness Starter Find answers to questions that no one else in the class has thought of. Advanced Starter Unlucky Seven Eleven Follow the instructions to multiply a chosen number then explain the result you get. Advanced Starter Type the equation of a graph into each section of the Venn diagram. Advanced Starter Victorian Times Comparison Is 10! larger or smaller than the number of seconds in six weeks? Advanced Starter How many ways can you create a code for the vowels by assigning to each vowel a different vowel? Advanced Starter Weather Reports Which five different integers multiply together to give 12? Advanced Starter Write down all the possible questions that could have been asked if this was the Venn diagram provided in a mathematics exam. Advanced Starter X Divided by 2Y Why do different calculators not agree on the order of operations? Advanced Starter Prove that zero is an even number. Advanced Starter 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!. " 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. " Dubai English Speaking School, Wednesday, January 24, 2018 " Six Yellow are working together using Transum Maths this morning...head to head on puzzles ranging from Darts to Factors Connect 4 " Elena Bezoari, Twitter Saturday, June 8, 2019 Great second lesson with our Shanghai pupils and Y6. @Transum problems making their brains hurt! Great to see the resilience and enjoyment in the problems. @RanbyHouse pic.twitter.com/gFblgEggPL Tuesday, September 3, 2019 " Hi there! Great maths puzzles & activities. Thank you. Do you have the answers? [Transum: Hello Ann, Thanks for leaving a comment on the Transum Puzzles page. Yes, each of the puzzles has an answer that appears when you are logged in as a subscriber. You can find a subscription application form here . " Mike Park, United States Saturday, October 2, 2021 " I must commend you on nurturing such a thorough and ingenious website of math problems. You offer great exercises, puzzles, review material, and so much more. I really enjoyed using Transum Math. " Whitney Edmondson, Linkedin Wednesday, March 29, 2023 " This month we ran our puzzle and problem solving team competition amongst the different grades. We decided to improve from the traditional "hard maths" questions and have inquiry and thinking stations. This wasn't about who was the best at just Maths, it was about who was the best at doing Maths using all the MYP ATL Skills. Thanks again to the fantastic Transum.org site for the puzzles I used to create the stations. To mention a few brilliant aspects about using this site for Maths stations. On refreshing you get a new but similar puzzle, points are often generated, instructions included for staff to read and creative interactive levels you can adjust depending on the grade...Completely FREE! " Sunday, August 3, 2025 " Sometimes collaborating makes puzzle solving easier! " Monday, January 12, 2026 " What makes puzzles especially worth your time is that they train your brain to be comfortable with not knowing the answer right away—and that's huge. In real life, most interesting problems don't come with instructions, and the ability to stay calm, be creative, and try different approaches when you're stuck is what separates people who give up from people who figure things out. Plus, honestly, there's something deeply satisfying about that moment when everything clicks and you solve something that seemed impossible five minutes earlier. That feeling of "I figured it out!" builds confidence that carries over into everything else you do, making you more willing to take on challenges instead of avoiding them. And unlike a lot of things adults tell you are "good for you," puzzles like this are actually fun once you get into them. " 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. Starter of the Day Create An Account