Transum Software

Stepwise Sums

Arrange the numbers one to nine on the stairs to obtain the given sums.

Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8 Info More

Drag the numbers into the yellow cells to make the given horizontal and vertical sums.

Click the 'Check' button when you have finished.

Congratulations!
Claim your trophy by clicking on the red button below.

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Your answer is not correct.

The calculations are not all correct.

Press the Clear button and try again.

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This is Stepwise Sums level 1. You can also try:
Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8

Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

Please contact me if you have any suggestions or questions.

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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 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

Comment recorded on the 5 April 'Starter of the Day' page by Mr Stoner, St George's College of Technology:

"This resource has made a great deal of difference to the standard of starters for all of our lessons. Thank you for being so creative and imaginative."

Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month.

The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing.

Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page.

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This spectacular magic trick never fails to amaze people of all ages assuming they can add and subtract very simple numbers. The mathematics comes in finding out how the trick works.

Numeracy

"Numeracy is a proficiency which is developed mainly in Mathematics but also in other subjects. It is more than an ability to do basic arithmetic. It involves developing confidence and competence with numbers and measures. It requires understanding of the number system, a repertoire of mathematical techniques, and an inclination and ability to solve quantitative or spatial problems in a range of contexts. Numeracy also demands understanding of the ways in which data are gathered by counting and measuring, and presented in graphs, diagrams, charts and tables."

Secondary National Strategy, Mathematics at key stage 3

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 main page links to more activities designed for students in upper Secondary/High school.

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 are 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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Information

At first glance, this puzzle seems to be one where there are many different ways the numbers one to nine can be arranged in the yellow cells. There are 362880 different ways of doing this! On closer inspection you’ll see that actually once one number has been placed on the grid you have no choice over where the other numbers could be placed because the totals determine what they should be. Consequently this makes this puzzle much easier that the other number placing puzzles on the Transum website.

This puzzle was inspired by an isomorphic puzzle that appeared in the Grange Academy Mathematics Department Newsletter and looked like this:

Grange Academy Mathematics Department Newsletter

The equivalent puzzle is Level 3 of Stepwise Sums.

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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