There are 366 different Starters of The Day, many to choose from. You will find below some starters on the topic of Puzzles. 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:

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

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.

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

Some keys are missing from this calculator. Just how useful is it?

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

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

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.

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

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?

Work out how many squares are there altogether in the given pattern then tackle the chess board.

How many squares can be found by joining four dots on the grid?

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.

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.

Arrange the numbers so that the totals of the three numbers along any line are the same.

A classic matchstick puzzle designed to challenge your spacial awareness.

A small crossword puzzle containing mathematical words.

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?

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

Find the missing terms from these linear sequences.

Work out which team played which from the information given.

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.

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?

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

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?

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?

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.

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

Continue the sequences if you can work out the rule.

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.

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.

What are the numbers if their sum equals their product?

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.

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 word sum?

## Exercises

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

#### Area Maze

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

#### Area Wall Puzzles

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

#### Arithmagons

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

#### Awe-Sum

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

#### Brainbox

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

#### Calculator Words

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

#### Car Park Puzzle

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

#### Centexpression

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

#### Circumfraction

Quite a challenging number placing puzzle involving fractions.

#### Clue Sudoku

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

#### Code Cracker

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

#### Cryptographic

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

#### Cubical Net Challenge

Find all the ways of painting the faces of cubes using only two colours.

#### Delightfully Divisible

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

#### Digivide

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

#### Divisive

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

#### 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

#### 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.

#### Fleur-De-Lis

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

#### Four Sum

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

#### Frustration

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

#### Go Figure

Arrange the digits one to nine to make the four calculations correct.

#### Goal Products

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

#### Groups of Four

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

#### Hexagram Star

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

#### 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.

#### How Many Rectangles?

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

#### How Many Squares? 2

How many different sets of four dots can be joined to form a square?

#### Jugs

Can you make 4 litres if you only have 7 and 5 litre jugs?

#### Largest Product

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

#### Latin Square Puzzles

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

#### Lemon Law

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

#### 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.

#### Magic Square Jigsaws

Interactive jigsaw puzzles of four by four magic squares.

#### Magic Square Puzzle

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

#### Maths Crossword

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

#### Mine Find

Find where the mines are hidden without stepping on one.

#### Mixpressions

Arrange the cards to create a valid mathematical statement.

#### 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.

#### 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.

#### 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.

#### Number Jigsaws

Online, interactive jigsaw puzzles of grids of numbers.

#### Numskull

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

#### Octagram Star

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

#### 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.

#### One Digit Only

Find expressions using only one digit which equal the given targets.

#### One Torch Tunnel

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

#### 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?

#### Online Sudoku

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

#### 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.

#### Partial Pyramids

Calculate the missing numbers in these partly completed pyramid puzzles.

#### Path Puzzle

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

#### Pattern Clues

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

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

#### Pentominoes

Arrange the twelve pentominoes in the outline of a rectangle.

#### 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.

#### 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?

#### Plane Numbers

Arrange numbers on the plane shaped grid to produce the given totals

#### Plus

A number arranging puzzle with seven levels of challenge.

#### Polygon Pieces

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

#### Power Shift

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

#### Prime Labyrinth

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

#### 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.

#### Pu Wiang

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

#### Puzzle Cube Net

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

#### Pyramid Puzzle

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

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

#### River Crossing

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

#### Roman Numerals Jigsaw

An online interactive jigsaw puzzle of a grid of Roman numerals.

#### Satisfaction

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

#### Satisfy

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

#### 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.

#### Scheduling Puzzle

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

#### Scouts in Boats

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

#### Separated Twins

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

#### Shapes In The Stars

Join up the stars to find the hidden regular polygons.

#### Shunting Puzzles

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

#### Spinsum

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

#### Squorder

The Transum version of the traditional sliding tile puzzle.

#### Stick Squares

Arrange the matches to form four squares instead of five.

#### Suko Sujiko

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

#### T Puzzle

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

#### Tangram Challenge

A series of tangram challenges in increasing order of difficulty.

#### Tangram Table

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

#### Tantrum

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

#### Tetrominoes

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

#### The Broken Chessboard Puzzle

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

#### The Four Rules

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

#### The Miller's Puzzle

This is an interactive version of the puzzle described by Henry Ernest Dudeney in The Canterbury Puzzles

#### Thrice

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

#### Tools

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

#### Tower of Hanoi

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

#### Trafalgar Square

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

#### 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.

#### 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.

#### Truculent

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

#### Unmagic Square

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

#### Vector Cops

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

#### Vowelless

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

#### Where's Wallaby?

Find the hidden wallaby using the clues revealed at the chosen coordinates.

#### Window View

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

#### 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.

#### Word Search

Find the mathematical words in the grid of letters.

#### Word Sums Guide

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

#### Xmas Ornaments

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

#### Zygo

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

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