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The math trick above was mine Brooke kelly 7G1 

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The math trick above was mine Brooke kelly 7G1 

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I Will Predict Your Number - Math Magic Trick

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How to Draw The Impossible Waterfall 3D Optical Illusion

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How To Draw Islamic Geometric Pattern - Illustrator Tutorial

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Click to open the picture fully!

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For those of you who do not know what a calculator colouring looks like I have attached an example below.

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Skippy and Anna are locked in a room at the top of a large castle. There are five other locked rooms to go through to get out.

The key to that room, and all the other rooms, is a number. The numbers are locked away in a problem. The number is the key to that room.

Can you help them to get out?

You must have the number to be able to do the next problem and you must have all the keys to finish by answering the last question.

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Here is a BRILLIANT board game which is very well connected to probability that you can play with your household. Its 2-4 players, games take about 10-20 minutes and it is really really addictive.

Watch the video and attached are some weblinks to allow you to play easily.

Instructions: youtu.be/eSRS0XSn4Zg

Can't Stop Dice: (online app) unaiyecora.github.io/Cant-Stop-Dice

Wiki: en.wikipedia.org/wiki/Can't_Stop_(board_game)

Want to buy it for you to play properly? (Link is to Amazon) cutt.ly/IyXLyB7

Please see the board attacked below:

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However, before they can finally leave the castle you must answer a last question.
What is Skippy's real name?
Using the code 1=A,2=B,3=C,...26=Z translate all the key numbers into letters.

These letters will give you an anagram of Skippy's real name. When you have worked this out you have finally finished!

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Skippy and Anna have the fourth key number. They have gone through the fourth locked door.

On the table there are some jam tarts.

There are also two special trays used to cook them in. These hold the key number of tarts each.

There are enough tarts to fill one tray but not enough to fill the other one as well.

If the tarts are counted in fours there are three left over.

If they are counted in threes there is one left over.

How many tarts are there altogether? This number is the fifth and last key.

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Skippy and Anna have the third key number. They have gone through the third locked door.

On the floor there is a strange diagram and the numbers from 1 to 8 on eight cards. The diagram is a square with eight boxes arranged round it.

Skippy and Anna have to arrange the numbers in the boxes so that each side of the square adds to the third key number.

To find the fourth key number, add the numbers on all the corner boxes and then subtract 10.

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Skippy and Anna have the second key number. They have gone through the second locked door. Here there is a diagram.

There are two overlapping circles inside a rectangle. The rectangle is the second key number of centimetres long and 5 centimetres high.

How far apart are the centres of the two circles?

Square this answer and subtract one. This will give you the third key number.

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Skippy and Anna have the first key number. They have gone through the first locked door.

There are ten cards numbered from 0 to 9. Five of these are face down in a row on the table.

The numbers on the first two cards add to the first key number.
The numbers on the second and third cards add to 9,
the numbers on the third and fourth cards add to 11,
and the numbers on the fourth and fifth cards add to 16.

What number is on the last card? This number is the second key.

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There is a pile of dice.

Three of them are put in a row. The numbers on the top of these three add to 8.
What do the hidden numbers on the bottom add to?

This number is the first key.

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Try and find your own Maths Magic tricks and post them here....

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Try and find your own Maths Magic tricks and post them here....

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Try this on a member of your family and show us your Magic!

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How Predictable Are You? Three Digit Magic Trick

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Here are three 'tricks' to amaze your friends.

But the really clever trick is explaining to them why these 'tricks' are maths and not magic. Like all good magicians, you should practise by trying them. Can you explain how they work?

This trick will impress even your maths teacher.

Think of a number.

Double it.

Add $10$.

Halve it.

Take away you original number.

Is your answer $5$?

Try this with a different starting number. Did you get a different result? Why does this happen?
Write the answer on a piece of paper without letting anybody see it and seal it in an envelope. Have somebody hold the envelope and at the end ask them to open it and reveal the number you wrote at the beginning. Wow, Magic!

Guess how much money people have in their pockets!

Without giving you any information, ask a friend to count the value of some coins and write the amount on a piece of paper. Then ask your friend to:

Double the amount.

Add the first odd prime number to the new total.

Multiply the result by 1/4 of 20.

Subtract the lowest common multiple of 2 and 3.

For the grand finale, you ask for the final answer. Take off the last digit and you will be able to work out how much the coins are worth!

Amaze your audience by working out not only their age but also what size shoe they wear! Wow them even more by telling them how the maths works.

Give them the following directions but tell them not to show you any calculations:

Write down your age.

Multiply it by 1/5 of 100.

Add on today's date (e.g. 2 if it's the 2nd of the month).

Multiply by 20% of 25.

Now add on your shoe size (if it's a half size round to a whole number).

Finally subtract 5 times today's date.

Show me you final answer!

Look at the answer, the hundreds are the age and the remaining digits are the shoe size. If for instance somebody shows you 1105, there are 11 hundreds - the age, and the remaining digits 05 (or 5) show the shoe size.
Now, how on earth does that work?

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creating and manipulating expressions and formulae

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Here are three 'tricks' to amaze your friends. But the really clever trick is explaining to them why these 'tricks' are maths not magic. Like all good magicians, you should practice by trying them. Can you explain how they work?

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Try these on family and friends and upload their reactions

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Try these on family and friends and upload their reactions

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Try these on family and friends and upload their reactions

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In this sudoku, not only do the the columns, rows and 3x3 grids all need to contain the numbers 1-9. The dotted boxes all need to add up to the number indicated in the box. For example in the top left of this box there is a dotted rectangle of 2 squares with the number 8 in it. This means that these two squares must add up to the number 8. Therefore they could be 1 and 7, 2 and 6, 3 and 5 but they cannot be 4 and 4 because you cannot have the same number in the box.

Good luck!

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Sudoku is designed so that all the rows columns and 3x3 squares all contain the numbers 1-9. You are not allowed to repeat numbers in any row, column or 3x3 square.

Attached is a easy one to start you off. Please look below for more difficult examples followed by the "killer sudoku"

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An early example of an impossible object comes from Apolinère Enameled, a 1916 advertisement painted by Marcel Duchamp. It depicts a girl painting a bed-frame with white enamelled paint, and deliberately includes conflicting perspective lines, to produce an impossible object. To emphasise the deliberate impossibility of the shape, a piece of the frame is missing.

Swedish artist Oscar Reutersvärd was one of the first to deliberately design many impossible objects. He has been called "the father of impossible figures".[7] In 1934 he drew the Penrose triangle, some years before the Penroses. In Reutersvärd's version the sides of the triangle are broken up into cubes.

In 1956, British psychiatrist Lionel Penrose and his son, mathematician Roger Penrose, submitted a short article to the British Journal of Psychology titled "Impossible Objects: A Special Type of Visual Illusion". This was illustrated with the Penrose triangle and Penrose stairs. The article referred to Escher, whose work had sparked their interest in the subject, but not Reutersvärd, of whom they were unaware. The article was published in 1958.[4]

From the 1930s onwards, Dutch artist M.C. Escher produced many drawings featuring paradoxes of perspective gradually working towards impossible objects.[7] In 1957, he produced his first drawing containing a true impossible object: Cube with Magic Ribbons. He produced many further drawings featuring impossible objects, sometimes with the entire drawing being an impossible object. Waterfall and Belvedere are good examples of impossible constructions. His work did much to draw the attention of the public to impossible objects.

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Play bingo with friends or family. Choose from a variety of Maths topics

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Lots of Maths Bingo games, each game is randomly generated, students create their own bingo cards.

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Play numbers countdown online

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Use the "Vowel" and "Consonant" buttons to pick your letters, or "Conundrum" to practice a conundrum, then you have up to 30 seconds to find your words (use the working area if you like), then you can use the "Check word" box to check your best words, and "Show answers" to see the top answers.

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Use the "Vowel" and "Consonant" buttons to pick your letters, or "Conundrum" to practice a conundrum, then you have up to 30 seconds to find your words (use the working area if you like), then you can use the "Check word" box to check your best words, and "Show answers" to see the top answers.

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Please follow the link below to find a number of fun maths games that will challenge you in a variety of different topics

https://www.topmarks.co.uk/maths-games/11-14-years/number

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Now this one is really clever! In Albrecht Dürer's painting entitled Melancholia I, Dürer painted a magic square on the wall of the building.

The magic number for this square is 34. However, it is not just the columns, diagonals and rows that add up to 34, no that would be too easy for Dürer. He also made it so that the middle 4 tiles add up to 34...but wait there's more! Each of the four quadrants also add up to 34. So the top four squares on the left add to 34, the top four on the right, the bottom four on the left and the bottom four on the right. Surely that's impressive enough right? But there's more! Dürer painted this masterpiece in 1514 and if you look at the two central tiles at the bottom of the square you can see the numbers 15 and 14.
That is why this is my favourite magic square.

Why don't you have a go? See if you can create your own magic square.

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See if you can complete this magic square

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Magic Squares are square grids with a special arrangement of numbers in them. These numbers are special because every row, column and diagonal adds up to the same number. So for the example below, 15 is the magic number. Could you work this out just from knowing that the square uses the numbers from 1 to 9?

Also, the two numbers that are opposite each other across the centre number will add up to the same number. So in the square above, 8 + 2 = 10 , 6 + 4 = 10, 1 + 9 = 10 and 3 + 7 = 10. Why is this?

The "order" of a magic square tells how many rows or columns it has. So a square with 3 rows and columns is Order 3, and a square with 4 rows and columns is Order 4 and so on.

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The third order magic square was known to Chinese mathematicians as early as 190 BCE, and explicitly given by the first century of the common era. The first datable instance of the fourth-order magic square occur in 587 CE in India. Specimens of magic squares of order 3 to 9 appear in an encyclopedia from Baghdad c. 983, the Encyclopedia of the Brethren of Purity (Rasa'il Ikhwan al-Safa). By the end of 12th century, the general methods for constructing magic squares were well established. Around this time, some of these squares were increasingly used in conjunction with magic letters, as in Shams Al-ma'arif, for occult purposes.[6] In India, all the fourth-order pandiagonal magic squares were enumerated by Narayana in 1356. Magic squares were made known to Europe through translation of Arabic sources as occult objects during the Renaissance, and the general theory had to be re-discovered independent of prior developments in China, India, and Middle East. Also notable are the ancient cultures with a tradition of mathematics and numerology that did not discover the magic squares: Greeks, Babylonians, Egyptians, and Pre-Columbian Americans.

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Please follow the link below to find creative ways of using geometry and construction to create some fantastic patterns.

https://arbitrarilyclose.com/2020/05/13/mathartchallenge-57-islamic-geometry-sheikh-zayed-masjid/

For those of you who have not have compasses you can use the below website which will provide you with all the tools you require.

https://www.desmos.com/geometry

If you use desmos you can screenshot your design and then edit further by colouring it in on your iPad or printing it off to colour it in.

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This section is devoted to impossible drawings using isometric paper. The following links will take you to videos that you can use draw these. You can also find some isometric paper attached so that you have something to work on.

https://arbitrarilyclose.com/2020/03/30/mathartchallenge-day-15-isometric-illusions/

https://www.youtube.com/watch?v=KdxL3lpO4JA

https://www.youtube.com/watch?v=lXc087fD7oE

https://www.youtube.com/watch?v=a3Ra_MhJuOU

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This is a creative way to use sequences. The power point attached will demonstrate how you can create this. You could you your knowledge of sequences to get as creative with it as you want.

below this are templates for 60 point and 150 point grids.

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There are some templates you may wish to use. Your task is to choose a topic that you have learnt during your virtual learning and create a calculator colouring for it. You could either use one of the following templates or if you wanted to you could create your own picture to use.