The 12 Ways of ChristmasHow many different ways can you make the number 12 using the digits 1 to 4? 
You score:
Using the digits 1, 2, 3 and 4 make expressions that are equal to 12. For example you could begin with 12(4 − 3). Find as many different ways as you can.
Earn trophies based on the number of correct solutions:
Level 1: for finding at least 12 solutions;
Level 2: for finding at least 24 solutions;
Level 3: for finding at least 36 solutions;
Level 4: for finding at least 48 solutions;
Level 5: for finding at least 60 solutions;
If by mistake you type in the same solution twice the duplicate will be marked with a #.
InstructionsTry your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help. When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. 



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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician? Comment recorded on the 11 January 'Starter of the Day' page by S Johnson, The King John School: "We recently had an afternoon on accelerated learning.This linked really well and prompted a discussion about learning styles and short term memory." Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay: "An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!" 
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This festive activity is based on the Make an Expression challenge which you can try by clicking on the link below.
Make an Expression  This is the original activity with five different levels.
Make an Expression :: Advanced  For this advanced challenge you cannot concatenate digits (you can't put 2 and 3 together to make 23) but you can use exponentials and factorials.
CentExpression  Find an expression for 100 using the digits 1 to 9
One Digit Only  Find expressions for target numbers using repeated digits.
More on this topic including lesson Starters, visual aids and investigations.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
Christmas activities make those December Maths lessons interesting, exciting and relevant. Click on the snowman above for some online activities to keep everyone engaged in worthwhile, festive mathematics.
The idea is to make correct mathematical expressions for 12 using all of the digits 1 to 4. Click the green buttons in the order you wish to see their values in the expressions. Press the C button to clear the expression and start again.
Examples:
2^3 means 2^{3} = 2 × 2 × 2 = 8
5! means 5 × 4 × 3 × 2 × 1 = 120
This Numberphile video of the four 4s problem might give you some ideas!
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can doubleclick the 'Check' button to make it float at the bottom of your screen.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
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