**Introduction**

As the signature game of **the 7puzzle company**, and one which is regularly used during our school workshops, **the 7puzzle game** is our most famous and popular creation to date.

Designed and produced in the summer of 2010 by Paul Godding, **the 7puzzle game** is playable by all ages and abilities.

It has been specifically designed to be flexible as it is perfect for children aged 7 years and above, but also extremely challenging for older children, adults and the more experienced puzzle enthusiast.

As **the 7puzzle game** continues to play an integral part of our workshops, it has become very popular with children, teaching staff and parents.

**Popularity**

We were extremely proud when the **Techniquest Science Discovery Centre** in Cardiff approached us and asked permission to produce a larger version of the game to become a permanent exhibit at the centre (see below). Since being unveiled in 2011, it has been earning rave reviews by the general public and visiting schools.

We were also very flattered when receiving an e-mail from an American university professor praising **the 7puzzle game**. The feedback can be viewed by clicking **this link**.

**P****ackaging**

**The 7puzzle game** is a unique product as the contents of the game have always been kept in a distinctive eco-friendly bag. As with any game, we like to keep the playing board clean and tidy, and make it extremely difficult for the owner to lose the playing pieces.

From the beginning, we housed the game and its extras in a black & lilac bag but a fresh new look has seen the game move with the times and it looks even more gorgeous than before in its new purple home!

**How to Play**

The playing board is a 7 by 7 grid of 49 squares, each square containing a number, colour and shape. When taking on the challenges, players must place all of the 14 playing pieces (7 of which are straight and 7 angled) onto the board, therefore leaving seven spaces.

The intention is that everything on the board will be covered up, **except seven** of a certain element, which may be a particular shape, colour or type of number, depending on the challenge being undertaken.

Most of the challenges, of which there are 42 altogether, are number-related. There are also a few easier shape challenges and some tougher colour challenges to complement the numeracy aspect. **The ****7puzzle game** challenges should be attempted in the order shown on the instruction sheet as they become more difficult as you progress.

For instance, **Challenge No.1** requires you to leave **7 even numbers** uncovered. As the board contains 30 even numbers in total, this is quite an easy task to start off your** 7puzzle** adventure and ideal for the younger player who can be guided through, and taught about, **even** **numbers** at the same time.

For instance, the teacher could ask the class to find all the** even numbers** in each row and column on the board before attempting the puzzle. This type of learning activity could take place before each number challenge.

One of the many possible solutions for Challenge No.1 is shown below:

**Use in the Classroom**

As the challenges increase in difficulty, **the 7puzzle game** can continue to be used as a teaching aid, as described above, whether it is to improve mental maths skills or perhaps to reinforce existing knowledge by creating challenges against other players.

Timed challenges could be set or even head-to-head contests can take place if there are two or more copies available.

Teachers could even use the playing board to introduce concepts and theories of probability as well as fractions & percentages, decimal places and maybe even calculations involving area & perimeter.

*The latest 2017 version of the playing board*

**Number Challenges**

When undertaking the shape and colour challenges, it is quite obvious what needs to be left uncovered on the playing board, but it may not be so straightforward when taking on one of the 30 number challenges.

Players may not be aware of how many options are available on the board, so they have been listed here. As mentioned earlier, teachers could even go through the various options with a class in a mini-lesson before attempting a particular challenge.

This list can be referenced either as an educational tool or perhaps used as a check-list to see if a challenge has been completed correctly. It is commonly used as an argument-settler, just like the dictionary in *Scrabble*!

*Note: Remember, there are many more of each type of number in existence. We are only discussing the range of numbers present on the** playing board.*

For the initial set of number challenges, there are more than seven options available. The actual amount is given in brackets below. Players are therefore allowed to leave any seven of the numbers uncovered to complete that task:

**Challenge 1: Even numbers**(30) 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 28, 30, 32, 36, 40, 42, 44, 48, 50, 54, 56, 60, 64, 66, 70, 72, 80, 84**Challenge 2: Multiples of 3**(22) 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 42, 45, 48, 54, 60, 63, 66, 72, 81, 84**Challenge 3: Odd numbers**(19) 3, 5, 7, 9, 11, 13, 15, 17, 21, 25, 27, 33, 35, 45, 49, 55, 63, 77, 81**Challenge 4: Multiples of 4**(18) 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 56, 60, 64, 72, 80, 84**Challenge 6: Multiples of 5**(14) 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 70, 80**Challenge 8: Multiples of 6**(13) 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 84**Challenge 10: Factors of 60**(11) 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60**Challenge 11: Multiples of 7**(12) 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84**Challenge 12: Factors of 84**(11) 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84**Challenge 13: Multiples of 8**(10) 8, 16, 24, 32, 40, 48, 56, 64, 72, 80**Challenge 14: Factors of 72**(11) 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72**Challenge 15: Multiples of 9**(9) 9, 18, 27, 36, 45, 54, 63, 72, 81**Challenge 16: Factors of 48**(9) 2, 3, 4, 6, 8, 12, 16, 24, 48**Challenge 17: Square numbers**(8) 4, 9, 16, 25, 36, 49, 64, 81**Challenge 18: Factors of 36**(8) 2, 3, 4, 6, 9, 12, 18, 36**Challenge 19: Multiples of 10**(8) 10, 20, 30, 40, 50, 60, 70, 80**Challenge 20: Single-digit numbers**(8) 2, 3, 4, 5, 6, 7, 8, 9**Challenge 21: Factors of 80**(9) 2, 4, 5, 8, 10, 16, 20, 40, 80

To successfully complete the rest of the number challenges, players must leave uncovered all seven numbers shown below:

**Challenge 23: Factors of 66**2, 3, 6, 11, 22, 33, 66**Challenge 25: Factors of 70**2, 5, 7, 10, 14, 35, 70**Challenge 26: Multiples of 11**11, 22, 33, 44, 55, 66, 77**Challenge 28: Factors of 24**2, 3, 4, 6, 8, 12, 24**Challenge 30: Factors of 54**2, 3, 6, 9, 18, 27, 54**Challenge 31: Multiples of 12**12, 24, 36, 48, 60, 72, 84**Challenge 33: Factors of 42**2, 3, 6, 7, 14, 21, 42**Challenge 35: Factors of 40**2, 4, 5, 8, 10, 20, 40**Challenge 36: Prime numbers**2, 3, 5, 7, 11, 13, 17**Challenge 38: Factors of 56**2, 4, 7, 8, 14, 28, 56**Challenge 41: Numbers in the 20’s**20, 21, 22, 24, 25, 27, 28

The final number challenge, **Challenge 42**, is unique in that it requires players to leave uncovered any seven numbers that total 100. This challenge can be expanded so that any total from 50 through to 300 can become the target (see** Target Challenges** below).

**Shape & Colour Challenges**

As well as the above, the other 12 challenges (4 shape & 8 colour) are numbered as follows:

5.stars; 7.heptagons; 9.squares; 22.pink; 24.yellow; 27.green; 29.brown; 32.lilac; 34.red; 37.blue; 39.one of each colour; 40. circles.

**Target Challenges**

Choose a random number from** 50 to 300** inclusive. Give your opponent 5 minutes to place all 14 pieces onto the board and see how close he/she can get to the target number you set when adding the seven numbers that remain uncovered.

Can they actually hit the exact target number?

Now it’s your turn! Your opponent now sets a different target number. When time is up, the person who was nearest to their target number is the winner.

In a classroom (or team) situation with multiple copies available, the teacher or referee sets the same target number for all teams taking part. Again, the team closest to the target number, at the end of a pre-determined time, is the victor.

**Mathematical Terms**

Some of the mathematical terms used during the game and/or our daily number puzzles at **7puzzleblog.com** are briefly explained here, just in case you get asked by younger members of the family. Many other useful GCSE terms can be located further down:

**+**add, plus, sum.**–**subtract, take away, minus, difference.**×**multiply, times, product.**÷**divide, share, quotient.**Integer:**a whole number.- Even number: any number which ends in 2, 4, 6, 8 or 0 – so it is divisible by 2.
- Odd number: any number which ends in 1, 3, 5, 7 or 9 – not divisible by 2.
- Multiple: these are numbers in a certain times table (e.g. 21 is a multiple of 7).
- Factor: a number which can divide exactly into another number (e.g. 5 is a factor of 20).
- Square number: the answer when a number is multiplied by itself (e.g. 36 is a square number as 6×6 or 6² = 36).
**Square root:**the reverse of a square number. The number that needs to be multiplied by itself to arrive at your answer (e.g. √36 = 6, because 6×6 or 6² = 36).**Cube number**: the answer when a number is multiplied by itself, and itself again (e.g. 8 is a cube number as 2×2×2 or 2³ = 8).- Single-digit number: a whole number (integer) from 1 to 9, just one digit.
**Double-digit number**: a whole number (integer) from 10 through to 99, containing two digits.- Prime number: a number that is only divisible by 1 and itself, no other factors.
**Triangular number**: any of the series of numbers 1, 3, 6, 10, 15, … obtained by continually adding the numbers 1, 2, 3, 4, 5, etc. (0+1=**1**, +2=**3**, +3=**6**, +4=**10**…)- Circle: you should know what this is, but Challenge No.40 is one of the toughest!
- Square: a four-sided figure with each side being of equal length and each angle being a right-angle (measuring 90 degrees), therefore adding up to 360 degrees. With these characteristics, a square is a type of regular polygon.
- Star pentagon: is the shape of a five-pointed star drawn with five straight strokes and each internal angle being 36 degrees (also called a pentagram). A five-sided polygon could be created from this by joining the five points with lines, and this would be called a pentagon.
- Heptagon: a seven-sided figure with each length the same and each angle the same, therefore this is also a type of regular polygon.

Examples of some other regular polygons are equilateral triangle (3 sides), hexagon (6 sides), octagon (8 sides), nonagon (9 sides) and a decagon (10 sides).

For a list of many other mathematical terms, ideal for GCSE, click **here**.

**The junior edition – the 5puzzle game**

As well as our signature game, there is a junior version available, which has also become extremely popular in schools. Click **the 5puzzle game** link to find out more!

**Purchasing Options**

Please get in touch if you wish to invest in a copy of **the 7puzzle game** which retails at **£24** per game, plus £5 P&P.

The easiest way to make a purchase is to click **paul@7puzzle.com** and let us know.

We hope you enjoy **the 7puzzle game**.