Inertia Racetrack

Track 1 Track 2 Track 3 Track 4 Track 5 Track 6 Track 7 Track 8 Track 9 Track 10 Help
Blue racing car Orange racing car

Player 1

Created with Raphaël 2.1.0

Player 2

0

Race Record

The vectors used in the race will be recorded below.

Background

In the book Math Games with Bad Drawings (well worth reading), Ben Orlin describes a very similar game called Racetrack. He describes how the game's "… origins are lost to time, though 'Western Europe in the 1960s' seems like a credible guess. In 1971, a French version was published under the devastatingly cool name Le Zip. In a 1973 Scientific American column, Martin Gardner (having learned the game from a computer scientist who picked it up in Switzerland) described it as 'virtually unknown' in the US."

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 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 1 May 'Starter of the Day' page by Phil Anthony, Head of Maths, Stourport High School:

"What a brilliant website. We have just started to use the 'starter-of-the-day' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources on-line we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and 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

Nine Digits

Nine Digits

Arrange the given digits one to nine to make three numbers such that two of them add up to the third. This is a great puzzle for practicing standard pen and paper methods of three digit number addition and subtraction.

Answers

The solutions to this and other Transum puzzles, exercises and activities are available in this space when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher or parent you can apply for one here.

A Transum subscription also gives you access to the "Class Admin" student management system and opens up ad-free access to the Transum website for you and your pupils.

Teachers
Parents
Tutors

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,

Monday, July 25, 2022

"Although Inertia Racetrack is a two-player game here is a suggestion for how to enjoy this activity as a one-player challenge. Use only the blue car (set the other car’s vector components to zeros or let it crash) and try to drive around the course using the minimum number of moves. Claim a trophy to record your achievement then try to improve on your personal best.

The best I have seen so far are:
Track 1: 13 moves
Track 2: 19 moves
Track 3: 30 moves
Track 4: 25 moves
Track 5: 33 moves
Track 6: 33 moves
Track 7: 38 moves
Track 8: 37 moves
Track 9: 40 moves
Track 10: 50 moves

If you manage to complete a track in a smaller number of moves please let me know by copying and pasting you list of ordered pairs into a comment on this page (link below)."

Alex Smyth, Perth

Monday, October 23, 2023

"Track 4: 25 Moves
[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐],[⭐, ⭐]

[Transum: Well done Alex for beating the previous record of 27 - I have hidden your route so as not to spoil the fun for others] "

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

© Transum Mathematics :: This activity can be found online at:
www.Transum.org/go/?Num=556

Instructions

The objective of the game is to be the first player to get around the racetrack and reach the red FINISH line.

Each player adjusts the numbers on their race vector by clicking on one or more of the red buttons at the sides of their vectors. This only allow a maximum increment of one each time (this provides the notion of inertia).

When both players are happy with their settings the 'Run Vectors' button can be clicked.

Continue this process until at least one of the plays reaches the FINISH line.

This racetrack uses some futuristic technology that allows two racecars to occupy the same space at the same time - Amazing!

If the race is a draw try racing again on one of the other racetracks (levels). If one player is a clear winner a virtual trophy can be claimed by that player.

The titles Player 1 and Player 2 are editable so your names can be typed in.

Example race

The image above shows a typical race that the blue car wins. The orange car crashed due to over-enthusiastic inertia!

 

Close

Close