Transum Software

The Uniqueness Game

Find examples for each of the mathematical categories that no other person has found.

  Menu   Year 5 Year 6 Year 7 Year 8 Year 9 Year 10 Year 11 Year 12 Year 13
1

The coordinates of a point exactly 5 units from (6,7)

(6,2)

2

An arithmetic sequence whose first 5 terms sum to 105

\( u_n = 5n + 6 \)

3

A function that's the inverse of itself

\(f(x)=x\)

4

Four numbers that have a range that is double the mean

1, 1, 1, 5

5

\(n(A)=20, n(B)=5\). What might \( n(A \cup B) \) be?

25

6

What might \( \theta \) be if \( \sin{ \theta } + \cos{ \theta } = 1 \)

0

1 point for an example checked to be correct by the teacher.

2 points for a correct example different from Captain Obvious' example.

3 points for a correct example that no one else in the class has chosen.

Captain Obvious Show the Captain's First Answer

This is The Uniqueness Game Year 12. You can also try:
Year 5 Year 6 Year 7 Year 8 Year 9 Year 10 Year 11 Year 13

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.

Why am I learning this?

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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"A really awesome website! Teachers and students are learning in such a fun way! Keep it up..."

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Featured Activity

ChristMaths

ChristMaths

Christmas activities make those December Maths lessons interesting, exciting and relevant. If students have access to computers there are some online activities to keep them engaged such as Christmas Ornaments and Christmas Light Up.

Answers

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

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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 page is an alphabetical list of free activities designed for students in Secondary/High school.

Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

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 is a 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, March 25, 2024

"If you like the idea of this game but the topics are not suitable for your students I suggest the Smallest Number challenge. It is a competition to choose the smallest integer that no one else has chosen. You can find out more about it here."

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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Scan the QR code below to visit the online version of this activity.

This is a QR Code

https://www.Transum.org/go/?Num=1078

Description of Levels

Close

Year 5 - Topics typically practised in Year 5

Year 6 - Topics typically practised in Year 6

Year 7 - Topics typically practised in Year 7

Year 8 - Topics typically practised in Year 8

Year 9 - Topics typically practised in Year 9

Year 10 - Topics typically practised in Year 10

Year 11 - Topics typically practised in Year 11

Year 12 - Topics typically practised in Year 12

Year 13 - Topics typically practised in Year 13

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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