Festive FivesomeUse the clues to answer the seasonal questions

In Santa's big workshop, five helpers reside.
Their ages a secret, they cleverly hide.
Older than snowmen and tall Christmas trees,
They live in a climate where many would freeze.
Work out their ages by the colours they choose,
But don't be confused, because there are clues!
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 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!" Comment recorded on the 1 May 'Starter of the Day' page by Phil Anthony, Head of Maths, Stourport High School: "What a brilliant website. We have just started to use the 'starteroftheday' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources online we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and fun." 
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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 adfree 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 

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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❎Level 1  Questions about the cost of five Christmas presents
Level 2  Questions about the burning times of five candles.
Level 3  Questions about the ages of Santa's helpers.
More Christmas Activities including lesson Starters, visual aids, investigations and selfmarking exercises.
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.
1. Read Carefully: Before you start solving, read the entire problem. Understand what is being asked and what information is provided.
2. Identify the Unknowns: Determine what you need to find out. It's helpful to represent unknown quantities with variables, like x or y.
3. Break Down the Problem: Some problems have multiple parts. It's essential to solve each part step by step. Sometimes, solving one part can help you solve the next.
4. Write Down the Information: List down the facts you know from the problem. This can include prices, quantities, ratios, or any other given data.
5. Formulate Equations: Based on the information provided, try to form mathematical equations. Remember, the same word can mean different mathematical operations:
 "More than" usually means addition.
 "Less than" usually means subtraction.
 "Times" or "of" often means multiplication.
 "Divided by" means division.
6. Solve the Equations: Once you have your equations set up, solve for the unknowns. Sometimes, you might need to solve multiple equations simultaneously.
7. Check Your Work: After finding a solution, read the problem again to ensure your answer makes sense in the context of the question. It's always a good idea to plug your solution back into the problem to see if it works.
8. Practise: The more problems you solve, the better you'll become at identifying patterns and strategies for different types of questions.
9. Stay Calm: If you find a problem challenging, take a deep breath and approach it calmly. Sometimes, taking a short break and coming back to the problem can provide a fresh perspective.
10. Ask for Help: If you're stuck, don't hesitate to ask a teacher, classmate, or parent for guidance. Sometimes, discussing the problem out loud can help you see it in a new light.
Remember, word problems are like puzzles. With practise and the right strategies, you can become a master problem solver!
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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