# Stepwise Sums

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

##### Level 1Level 2Level 3Level 4Level 5Level 6Level 7Level 8InfoMore

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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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.

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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?

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#### Practice Papers

Mathematics GCSE(9-1) Higher style questions and worked solutions presented as twenty short, free, practice papers to print out.

## 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

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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:

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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