Transum Software

Flowchart Bills - Calculating Gas Bills

Calculate bill totals by following the instructions given in the form of a flow chart.

Level 1 Level 2 Level 3 Description Investigation More Money Maths

This is level 3; Calculating Gas Bills You can earn a trophy if you get at least 7 correct.

You have started a new job preparing bills and the boss has sketched this flow chart to show how the totals are arrived at. Calculate the cost of the items on the right:

Flowchart Flowchart Flowchart

47 therms

£ Correct Wrong

89 therms

£ Correct Wrong

288 therms

£ Correct Wrong

50 therms

£ Correct Wrong

100 therms

£ Correct Wrong

49 therms

£ Correct Wrong

51 therms

£ Correct Wrong

165 therms

£ Correct Wrong

81 therms

£ Correct Wrong

175 therms

£ Correct Wrong

Check

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

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.

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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 12 July 'Starter of the Day' page by Miss J Key, Farlingaye High School, Suffolk:

"Thanks very much for this one. We developed it into a whole lesson and I borrowed some hats from the drama department to add to the fun!"

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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Answers

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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.

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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:

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Description of Levels

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Level 1 - Selling Textbooks

The more textbooks a customer buys the cheaper the unit price. The task at this level is to calculate the cost of buying different numbers of textbooks using the flow chart for guidance.

Level 2 - Selling Eggs

Similarly buying eggs in bulk is cheaper (per egg) than buying a smaller number of eggs. Traditionally eggs have been sold by the dozen. A dozen is 12.

Level 3 - Calculating Gas Bills

Paying for gas and electricity usually includes a standing charge and a staged set of charges per unit. The amount of gas is measured in therms.

Investigation

Try many different starting numbers in the given flowchart. Which starting numbers reach one the fastest? Why?

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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