Level 1 Level 2 Level 3 More Puzzles

Olympic Rings

Place the numbers in the rings so that the sum of the numbers in each ring is the same. Four numbers are already in the correct place and the ring sum is 11.

0

0

0

0

0

0

0

0

0

Olympic Projects and Investigations for the Keen Mathematical Athlete.

Optimal Running Strategy

Investigate different running strategies for a 400m race. Compare the times if an athlete starts fast and slows down, starts slow and speeds up, or maintains a constant speed. Use data from past Olympic races to support your analysis.

Cumulative Medals

For each day of the Olympics, record the total number of medals earned by your country. For each day work out the cumulative frequency and use these numbers to draw a cumulative frequency chart. Describe the features of your chart.

Impact of Altitude on Performance

Investigate how altitude affects athletic performance. Compare performances of athletes in high-altitude venues versus sea-level venues. Analyse data from events held in cities like Mexico City and compare it to events held in London.

Historical Performance Trends

Investigate the trends in world records over the past century in events like the 100m sprint and the long jump. Analyse how the records have improved and predict future records based on historical data.

Economics of Hosting the Olympics

Investigate the costs and benefits of hosting the Olympic Games. Compare the economic impact on cities that have hosted the games in the past 30 years. Analyse data on infrastructure spending, tourism revenue, and long-term benefits to the local economy.

Gender and Performance

Investigate the performance gap between male and female athletes in various Olympic events. Analyse data to see if the gap has been closing over the years and explore potential reasons for these trends.

Predicting Medal Counts

Use statistical models to predict the medal counts for different countries in the upcoming Olympics. Analyse factors such as past performance, current world rankings, and investment in sports programs.

Medals Pie Charts

Choose five countries that have had a wide range of success in the last Olympics. For each country manually draw a pie chart showing the proportion of gold, silver and bronze medals they won. Comment on what can be seen when comparing the pie charts.

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.

Email address

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 9 May 'Starter of the Day' page by Liz, Kuwait:

"I would like to thank you for the excellent resources which I used every day. My students would often turn up early to tackle the starter of the day as there were stamps for the first 5 finishers. We also had a lot of fun with the fun maths. All in all your resources provoked discussion and the students had a lot of fun."

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.

Featured Activity

Four Colour Theorem

Four Colour Theorem

This mathematical activity involves colouring in! That makes a change. Using the paint bucket tool can you flood fill the regions so that no two adjacent regions are the same colour?

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!

Transum,

Saturday, February 17, 2018

"One method of finding a solution to a puzzle in which the digits one to nine have to be arranged in a particular formation is by trying every different permutation. This strategy however is very time consuming. Even if it only took one second to arrange the numbers and check whether a solution has been found, you would need to allow over one hundred hours to complete the task!

Developing a strategy with some insight or consideration of the number patterns might be a better course of action. Good Luck! "

Deirdre Whittington, Alice Smith School

Friday, March 23, 2018

"The olympic ring problem, level 3, my class found 3 different answers - one that summed to 14, 13 and 11."

Deirdre Whittington, Alice Smith School

Friday, March 23, 2018

"Oops - just realised that the Level 1 and 2 ones were for 11 and 13! We did try to get one that added to 12 but were unsuccessful......is there one and if not, why not?"

Transum,

Monday, January 16, 2023

"I loved Miss Efford's introduction to this activity which I stumbled across on YouTube:
https://www.youtube.com/watch?v=nXmO4peXqQk"

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.

Transum.org is a proud supporter of the kidSAFE Seal Program

Pandigital Activities

These puzzles and challenges use each of the digits 1 to 9, making them examples of what mathematicians sometimes call zeroless pandigital activities. They invite you to arrange the digits carefully, spot patterns and use logical thinking to achieve the given objective.

Suggested

The Miller's Puzzle

The Miller's Puzzle

This is an interactive version of the puzzle described by Henry Ernest Dudeney in The Canterbury Puzzles

The short web address is:

Transum.org/go/?Num=344

Suggested

Stepwise Sums

Stepwise Sums

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

The short web address is:

Transum.org/go/?Num=392

Suggested

StatGrid Challenge

StatGrid Challenge

Arrange the numbers one to nine in a three by three grid to obtain the given means, medians and ranges.

The short web address is:

Transum.org/go/?Num=1073

Suggested

Delightfully Divisible

Delightfully Divisible

Arrange the digits one to nine to make a number which is divisible in the way described.

The short web address is:

Transum.org/go/?Num=339

Suggested

Nine Nine Nine

Nine Nine Nine

Use the digits 1 to 9 to make three 3 digit numbers which add up to 999.

The short web address is:

Transum.org/go/?Num=18

Suggested

All For One

All For One

Drag the numbers one to nine onto the outlines of three fractions that combine to make one.

The short web address is:

Transum.org/go/?Num=1066

Suggested

Ludicross

Ludicross

Arrange the given numbers on the cross so that the sum of the numbers in both diagonals is the same.

The short web address is:

Transum.org/go/?Num=587

Suggested

Product Square

Product Square

Arrange the given numbers in a three by three grid to obtain the diagonal, row and column products.

The short web address is:

Transum.org/go/?Num=917

Suggested

Centexpression

Centexpression

Arrange the numbers from 1 to 9 to make an expression with a value of 100.

The short web address is:

Transum.org/go/?Num=280

Suggested

Magic Square

Magic Square

Each row, column and diagonal should produce the same sum.

The short web address is:

Transum.org/go/?Num=25

Suggested

Unmagic Square

Unmagic Square

Like the magic square but all of the totals should be different.

The short web address is:

Transum.org/go/?Num=26

Suggested

Suko Sujiko

Suko Sujiko

Interactive number-based logic puzzles similar to those featuring in daily newspapers.

The short web address is:

Transum.org/go/?Num=463

Suggested

Prime Square

Prime Square

Drag the numbers into the red cells so that the sum of the three numbers in each row and each column is a prime number.

The short web address is:

Transum.org/go/?Num=253

Suggested

Satisfy

Satisfy

Place the nine numbers in the table so they obey the row and column headings about the properties of the numbers.

The short web address is:

Transum.org/go/?Num=32

Suggested

Nine Digits

Nine Digits

Arrange the given digits to make three numbers such that two of them add up to the third.

The short web address is:

Transum.org/go/?Num=752

Suggested

Divisive

Divisive

Arrange the digits one to nine on the spaces provided to make two division calculations containing multiples of three.

The short web address is:

Transum.org/go/?Num=740

Suggested

Go Figure

Go Figure

Arrange the digits one to nine to make the four calculations correct.

The short web address is:

Transum.org/go/?Num=737

Suggested

Hot Numbers

Hot Numbers

Move the numbered cards to form five 2-digit numbers which obey the given rules. A ten-stage numeracy challenge.

The short web address is:

Transum.org/go/?Num=5

Suggested

Pandigital Puzzles

Pandigital Puzzles

Arrange the digits 1 to 9 to create two numbers in the given ratio.

The short web address is:

Transum.org/go/?Num=1171

Suggested

Pandigital Squares

Pandigital Squares

Arrange the digits 1 to 9 to form one or more square numbers.

The short web address is:

Transum.org/go/?Num=1173

Suggested

Pandigital Numbers

Pandigital Numbers

An exercise exploring the properties of nine-digit numbers containing each of the digits 1 to 9.

The short web address is:

Transum.org/go/?Num=763

Finally the classic Render 2026 Digitful. An annual favourite lesson starter targetting the current year.