Otago Problem Solving
Otago university maths problem-solving challenge.
At Kenakena we have been focusing on delivering a school-wide maths programme where problem-solving is at the heart.
Problem Challenge is a mathematics problem solving competition aimed primarily at Intermediate School children. It is organised by members of the Department of Mathematics at the University of Otago ( https://www.maths.otago.ac.nz/pc/ ).
Children participating in the competition attempt to answer five questions in 30 minutes on each of five problem sheets, which are done about a month apart starting in April.
The Otago University programme is well suited to what we do and our participating students do really well. Children from Years 6 to 8 are nominated by their teachers based on a recognised ability to solve demanding mathematical problems. In 2015, 55% of our students who participated achieved an Excellence award!
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Previous questions
Welcome to the Junior Mathematics Competition!
This year the competition will be held in two parts - the first being a multiple-choice and short answer exam sat entirely online , while the second part will be a paper exam limited to the top 15 percent of participants in the first part.
The first part of the competition will be sat from Monday April 8 to Friday April 12 , while the second part will be held on Wednesday May 15 .
2024 is the 39th year of this highly successful Competition.
This mathematics competition is for students in years 9 to 11 (forms 3 to 5), although younger students may also take part. Every student throughout New Zealand sits the competition on exactly the same days, usually two Wednesdays in April in May (one for each part).
The competition lasts for 50 minutes per part (so one hour, 40 minutes in total). The emphasis is on problem solving, so expect surprises!
Mathematical skills are important, but so is careful reading. Students who read the questions carefully and work out exactly what is being asked generally do better than those who jump in and write down the first thing that springs to mind.
Although many of the same questions are asked for each year level, students only compete against students at the same level as themselves. (However students in years 7 or 8 are regarded as being in year 9 for the purposes of the competition.)
Full details of the competition may be found here , with a note on who can enter here .
Note: This competition should not be confused with Problem Challenge , which is run by a separate unit within the Department of Mathematics and Statistics at the University of Otago. For Problem Challenge enquires please contact the Problem Challenge organisers directly.
© Department of Mathematics & Statistics
Welcome to the Junior Mathematics Competition!
This year the competition will be held in two parts – the first being a multiple-choice and short answer exam sat entirely online , while the second part will be a paper exam limited to the top 15 percent of participants in the first part.
The first part of the competition will be sat from Monday April 4 to Friday April 8 inclusive , while the second part will be held on Wednesday May 11 .
2022 is the 37th year of this highly successful Competition.
This mathematics competition is for students in years 9 to 11 (forms 3 to 5), although younger students may also take part. Every student throughout New Zealand sits the competition on exactly the same days, usually two Wednesdays in April in May (one for each part).
The competition lasts for 50 minutes per part (so one hour, 40 minutes in total). The emphasis is on problem solving, so expect surprises!
Mathematical skills are important, but so is careful reading. Students who read the questions carefully and work out exactly what is being asked generally do better than those who jump in and write down the first thing that springs to mind.
Although many of the same questions are asked for each year level, students only compete against students at the same level as themselves. (However students in years 7 or 8 are regarded as being in year 9 for the purposes of the competition.)
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Otago Problem Solving
The competition started around the early 1990’s in South Island schools, but after about two years, the competition became available to schools all over New Zealand with students in years 7 and 8. Some younger children can sometimes participate too. In most years about 650 schools enter problem challenges, involving over 35,000 children.
Each year students answer 5 questions in 30 minutes, over 5 sets of work, and at the end of each competition everyone receives a certificate. 10% get excellence, 30% get a merit, while the others receive a participation award.
We think that everyone who participated had a great time and enjoyed pushing themselves in that category. A quote from Harry, “I really loved the challenge and even though I didn’t do brilliantly I have thoroughly enjoyed it and improved on my maths.”
Here are some questions from the quiz
The school soccer team has played 15 games with a success rate of 80%. In order to raise their success rate to 90% in the shortest possible time, how many consecutive games must they win?
All of Toby’s marbles are either blue, red, green, or yellow. One third of his marbles are blue, one quarter of them are red, and seven of them are green.
What is the smallest number of yellow marbles that Toby could have?
Written by Aydin Khajehzadeh and Harry Baddington
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Set up account challenge questions
You can set up three challenge questions which are used to verify your identity if you forget your University of Otago password and want to change your password yourself. To set up or change your challenge questions:
- Go to the Identity Self Service console (via Waharoa)
- Log in using your University Username and Password , then click the Log In button.
- Click on the My Information panel in the middle of the screen and scroll down to the Challenge Questions section.
- If you have challenge questions already set, the questions will be displayed but your answers are hidden for security reasons.
- Enter your current password in the box directly above the challenge questions.
- Select new challenge questions from the drop-down menu by clicking the small downwards pointing triangle to see a list of options you can use for each of three questions. You must use different questions and answers for each one.
- Enter each answer in the corresponding Answer box. The answers are not case-sensitive.
- Click out of the final answer box, then click the Apply button to save your questions and answers.
- Sign out of the Identity Self Service console using the Sign Out link under your username at the top right of the page.
For further information about setting your challenge questions, contact AskOtago .
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Otago Problem Solving
Kia ora Otago Problem Solvers,
Yes, it is time for the final session! We return to school tomorrow and I'm sure you will all be too busy to do any more Otago questions. Traditionally we have finished well before November.
Thank you to all the students who regularly completed the questions - you know who you are...as do I, as I kept a list! :-)
Term 4 - Week 5 - Session 10 - *If you would like a set of questions, please email me :- ) [email protected]
Term 4 - Week 5 - Session 9 - FINAL SESSION!
Term 4 - Week 4 - Session 8
Term 4 - Week 4 - Session 7
Term 4 - Week 3 - Session 6
Term 4 Week 3 - Session 5
Term 4 - Week 2 - Session 4
Term 4 - Week 2 - Session 3
Term 4 - Week 1 - Session 2
Term 4 - Week1 - Session 1
Session 11 - Thursday 30th September *Last Session of Term 3
Session 10 - Tuesday 28th September
Session 9 - Thursday 23rd September
Session 8 - Tuesday 21st September
Session 7 - Thursday 16th September
Session 6 - Tuesday 14th September
Session 5 - Thursday 9th September
Session 4 - Tuesday 7th September
Kia ora All - for Session 4 I would like you to send me an email [email protected] requesting a copy of today's questions/video. The reason for this is to check how many of you are actually completing the questions - I'm currently only getting the same 6 - 8 students sending me their answers and there are 36 students in the Otago problem solving group.
Thanks Bevan
*If you are not part of the Otago Group and would like to try some of the questions please also send me an email.
Remember to email me your answers - [email protected]
Support for schools
Introduction.
This page contains links to resources for schools created by Sandy Garner and Anthony Robins at the Computer Science Department, University of Otago.
PFST101 - A course for teachers
Programming For Secondary Teachers (PFST101) is an online course on programming in Python, tailored to the NCEA programming standards. It is being offered (in conjunction with Otago's College of Education) in the second semester (running from 31 August to 14 December 2015). Please see this pdf for details, and this page for responses to some frequently asked questions.
Programming workbooks
We have written workbooks to support the NCEA programming standards, with versions in both Java and Python:
- Year 12 Programming and Problem Solving: Student Workbook In Python
- Year 12 Programming and Problem Solving: Student Workbook In Java
- Year 13 Programming With Objects And Graphical User Interfaces: Student Workbook In Python
- Year 13 Programming With Objects And Graphical User Interfaces: Student Workbook In Java
Find out more here .
Notes on the standards
We have written some notes on the programming standards, including interpretations of the Achieved Merit and Excellence step-ups, and including example programs (in Python). These have been presented at various CS4HS events 2011-2013. They have no "official" status, they are just our opinions and informal advice.
We think robotics is a great platform for teaching programming. We may develop some resources for this in the future. In the meantime - you might want to consider the annual RoboCup Junior competition .
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GE3151 PSPP Question Paper
We are providing the GE3151 Problem Solving and Python Programming Question Papers ( First and are Exclusively Available on our Website ) below for your examination success. use our Materials to score good marks in the examination. Best of Luck.
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19. 13. 87. 58. Qn = percentage of correct answers for question n. Tn = percentage of students getting a total of n questions correct. Cn = percentage of students getting a total of n or more questions correct. (So for Set 5, for example, 39% got question 3 correct, 26% got three questions correct, and 58% got three or more correct.)
The set of questions you answer is determined by your year level: Question 1: Question 2: 10 marks. Year 10 and below only. Question 3 to Question 6: 20 marks each. All students. Question 7: 10 marks. Years 10 and 11 only. Question 8: 10 marks. Year 11 only. If you answer an incorrect question for your year level it will not be marked.
Solutions. 2004. Questions. Solutions. Note that the Questions and Solutions available here are as they were presented to schools. Any errors in the questions have not been corrected, although with any luck such errors will be noted in the relevant solutions. Ask Otago | 0800 80 80 98 | [email protected] |. | Top of page.
The Otago Problem Challenge is a nationwide mathematics competition participated in by Year 7 and 8 students. It consists of five sets of five questions with... In how many years' time will their ages total 100? David Kelly — May 12th, 2021. The Otago Problem Challenge is a nationwide mathematics competition... Candidates should answer ...
On Wednesday, two teams from Gracefield School participated in the Hutt Science Student Challenge 2021. It was a great day out and we had a fun time collaborating on the answers. I think the thing I enjoyed most was seeing all the different teams there, trying their hardest. The trickiest question w
Otago University Maths Problem-Solving Challenge . At Kenakena we have been focusing on delivering a school-wide maths programme where problem-solving is at the heart. ... Children participating in the competition attempt to answer five questions in 30 minutes on each of five problem sheets, which are done about a month apart starting in April. ...
Welcome to the Junior Mathematics Competition! This year the competition will be held in two parts - the first being a multiple-choice and short answer exam sat entirely online, while the second part will be a paper exam limited to the top 15 percent of participants in the first part.. The first part of the competition will be sat from Monday April 8 to Friday April 12, while the second part ...
Welcome to the Junior Mathematics Competition! This year the competition will be held in two parts - the first being a multiple-choice and short answer exam sat entirely online, while the second part will be a paper exam limited to the top 15 percent of participants in the first part. The first part of the competition will be sat from Monday ...
Problem Challenge Competition Book 1 - Free download as PDF File (.pdf) or read online for free. 'Problem challenge' is a 5-year competition held in otago, NEW ZEALAND. Competition started in 1991 for intermediate level children in mainland schools. Since 1992 It has been offered to all schools with pupils in forms 1 and 2. 540 schools entered 16000 children in 1992, 630 schools entered 22000 ...
Past exam papers. Paper co-ordinators may request an embargo on the publication of an exam paper: Email [email protected] AND [email protected]. Lists of embargoed papers can be found in AskOtago Teams, in the relevant folder for year and semester: Examinations and Exam Support. See also Return of exam scripts for more information.
The Otago Problem Challenge is a mathematics problem competition aimed primarily at children in years 7 and 8. It is organised by John Curran and John Shanks, retired members of the Department of Mathematics and Statistics at the University of Otago. Children participating in the competition attempt to answer five questions in 30 minutes on ...
What is Problem Challenge? Most schools with year 7 and 8 children, and some with year 6 children, are on our mailing list and will automatically receive an invitation, in mid-Feb
In most years about 650 schools enter problem challenges, involving over 35,000 children. Each year students answer 5 questions in 30 minutes, over 5 sets of work, and at the end of each competition everyone receives a certificate. 10% get excellence, 30% get a merit, while the others receive a participation award.
Problem 18. Coordination chemistry and its application to solid-state catalysts 36 Problem 19. Acids and bases 38 Problem 20. Semiconductors 39 Problem 21. Carbenes and non-benzenoid aromatic compounds 41 Problem 22. Nazarov cyclization 43 Problem 23. Tea party 44 Problem 24. E-Z chemistry 45 Problem 25. Fischer indole synthesis 46 Problem 26.
To set up or change your challenge questions: Log in using your University Username and Password, then click the Log In button. Click on the My Information panel in the middle of the screen and scroll down to the Challenge Questions section. If you have challenge questions already set, the questions will be displayed but your answers are hidden ...
Session 4 - Tuesday 7th September. Kia ora All - for Session 4 I would like you to send me an email [email protected] requesting a copy of today's questions/video. The reason for this is to check how many of you are actually completing the questions - I'm currently only getting the same 6 - 8 students sending me their answers and there are 36 students in the Otago problem solving group.
Simple two-step process for problem-solving; Ways to teach your children effective problem-solving strategies; Question and answer session; By attending this session, parents and carers will have a better understanding of how to help their children develop problem-solving skills so they can navigate the many different up's and downs that life ...
Programming For Secondary Teachers (PFST101) is an online course on programming in Python, tailored to the NCEA programming standards. It is being offered (in conjunction with Otago's College of Education) in the second semester (running from 31 August to 14 December 2015). Please see this pdf for details, and this page for responses to some ...
GE3151 PSPP Question Paper. We are providing the GE3151 Problem Solving and Python Programming Question Papers ( First and are Exclusively Available on our Website ) below for your examination success. use our Materials to score good marks in the examination. Best of Luck.