The 12 Ways of ChristmasHow many different ways can you make the number 12 using the digits 1 to 4? |
You score:
Using all the digits 1, 2, 3 and 4 make expressions (using the green keys) that are equal to 12. For example you could begin with 12(4 − 3).
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 28 September 'Starter of the Day' page by Malcolm P, Dorset: "A set of real life savers!! Comment recorded on the 25 June 'Starter of the Day' page by Inger.kisby@herts and essex.herts.sch.uk, : "We all love your starters. It is so good to have such a collection. We use them for all age groups and abilities. Have particularly enjoyed KIM's game, as we have not used that for Mathematics before. Keep up the good work and thank you very much |
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AnswersThere are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer. A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves. Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members. If you would like to enjoy ad-free access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now: Subscribe |
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Go MathsLearning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school. Maths MapAre you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic. | ||
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© Transum Mathematics :: This activity can be found online at:
www.transum.org/Software/SW/Starter_of_the_day/Students/Make_An_Expression_Christmas.asp
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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 23 = 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 double-click 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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