There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Puzzles. In the right column below are links to related online activities, videos and teacher resources.

A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

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### Puzzles Starters:

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

All for 100: Can you write an expression 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.

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

Boxing Day: 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.

ClockEquate: Can you use the digits on the left of this clock along with any mathematical operations to equal the digits on the right?

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

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

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

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

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

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

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

How Do You Do?: 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.

Lemon Law: 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.

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

Match Fish: 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?

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

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

Missing Pound: 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.

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

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

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

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

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

Not Too Close: 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?

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

One Torch Tunnel: Work out the least amount of time for four people to walk through a tunnel?

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

Pentadd: 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.

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

Roundabout: 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.

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

Secret Symbol: 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.

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

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

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

Suko: 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?

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

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

Tool Triangle: 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.

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

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

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

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

Penny Bags: 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?

Piece of String: Find where a piece of string should be cut to form a circle and a square of equal areas.

Restrained Flea: How many different places could the flea find itself after 8 foot-long jumps either north, south, east or west?

Weather Reports: Which five different integers multiply together to give 12?

#### Number Jigsaws

Online, interactive jigsaw puzzles of grids of numbers.

Transum.org/go/?to=numjig

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### Notes:

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 Teacher Resources:

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?

Tangram Challenge: 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: Arrange the matches to form four squares instead of five.

Hot Number Challenges: 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: A step by step guide showing how to solve a Word Sum where each letter stands for a different digit.

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

### Puzzles Activities:

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

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

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?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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.

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.

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

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

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

Area Wall Puzzles: 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: Can you draw these diagrams without lifting your pencil from the paper? This is an interactive version of the traditional puzzle.

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

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

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

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

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

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

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

Thrice: Can you arrange all of the counters on the grid to form 10 lines of three counters?

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

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

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

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

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

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

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

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.

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

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

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

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

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

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

Pentadd Quiz: Find the five numbers which when added or multiplied together in pairs to produce the given sums or products.

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

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

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?

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

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

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

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

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

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

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

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

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

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.

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

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

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

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

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

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

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

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.

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

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

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

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

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

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

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

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

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

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

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

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

Circumfraction: Quite a challenging number placing puzzle involving fractions.

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

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

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.

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

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

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.

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

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.

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

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

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

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

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

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

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.

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

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

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

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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

### Puzzles Investigations:

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

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

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

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

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

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

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

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

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

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

### Puzzles Videos:

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

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

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

### Puzzles Worksheets/Printables:

Arithmagon Worksheets: A printable set of worksheets to go with the Arithmagons challenge.

Line Drawings: Six line drawings that may or may not be able to be traced without lifting the pencil or going over any line twice.

Recap Crossword: Two small crossword puzzles based on Secondary school Maths topics.

Xmas Ornaments Grids: Three different grids for the Christmas Ornaments puzzle.

Siam Symbols Worksheet: Work out which digit each of the ten symbols represents from the six given calculations.

Two Twins Printable: This worksheet extends the puzzle in the July 21st Starter of the Day.

Tools Worksheet: A worksheet containing the grids to fill in for the Tools puzzles.

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#### 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

Transum.org/go/?to=dominoe

### Teaching Notes:

Many Transum activities have notes for teachers suggesting teaching methods and highlighting common misconceptions. There are also solutions to puzzles, exercises and activities available on the web pages when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher, tutor or parent you can apply for one by completing the form on the Sign Up page.

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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

"

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