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Festive Fivesome

Use the clues to answer the seasonal questions
about the five festive figures

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Christmas Candles

Not all of the Christmas candles will burn for the same length of time. The total burning time for all five cangles added together is 118 hours.

The red candle will burn for 11 hours.

The blue candle burns three times as long as the red candle. How long will the blue candle last?

hours

The orange candle lasts three hours longer than the red candle. How long will the orange candle burn for?

hours

The purple candle lasts five hours longer than the blue candle. How many hours will the purple candle burn for?

hours

What is the total burning time of the red and green candles together (the green candle is lit when the red candle burns out)?

hours

What was the total burning time of the blue and green candles together?

hours

What was the total burning time of the orange and green candles together?

hours

What was the total burning time of the purple and green candles together?

hours

What was the total burning time of all the candles except the red one?

hours

What was the total burning time of all the candles except the blue one?

hours

What was the difference between the burning times of the longest lasting and the shortest lasting candles?

hours
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This is Festive Fivesome level 2. You can also try:
Level 1 Level 3

Instructions

Try 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.

Why am I learning this?

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!!
Keep it up and thank you!"

Comment recorded on the 1 February 'Starter of the Day' page by M Chant, Chase Lane School Harwich:

"My year five children look forward to their daily challenge and enjoy the problems as much as I do. A great resource - thanks a million."

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Featured Activity

23 or Bust

23 or Bust

A game involving mental arithmetic and strategy for two players or one player against the computer. It is possible to beat the computer but you need a well thought out strategy.

Answers

There 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.

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Go Maths

Learning 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 Map

Are 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.

Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

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Scan the QR code below to visit the online version of this activity.

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https://www.Transum.org/go/?Num=65

Holly

Description of Levels

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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 self-marking 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.

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Suggested

Xmas Consonants

Xmas Consonants

After working out which vowels are missing from the Christmas words do some basic calculations.

The short web address is:

Transum.org/go/?to=xmasconsonants

Suggested

Twelve Days

Twelve Days

How many gifts did my true love send to me according to the traditional Christmas song 'Twelve Days of Christmas'.

The short web address is:

Transum.org/go/?to=12days

Suggested

Systematic Snowflakes

Systematic Snowflakes

Drag the flakes into the cells. There should be no more than one copy of each flake in a line.

The short web address is:

Transum.org/go/?to=syssnow

Suggested

The 12 Ways of Christmas

The 12 Ways of Christmas

How many different ways can you make the number 12 using the digits 1 to 4?

The short web address is:

Transum.org/go/?to=twelvewaysxmas

Holly

Maths Word Problem Solving Guide

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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