Challenge Prompts from Andrew Stewart-Brown provides just what the title says, a video prompt for students trying Maths Challenge questions. With the Junior Maths Challenge approaching in April this is an ideal time to look at this excellent resource if you have not done so. Papers covered by the resource are for Junior, 2014-2021 and Intermediate, 2015-2017. The resource is accessible on tablets and mobile phones as well as computers.
With the latest interface, students can be set a paper to attempt on their own, go to the website and enter their answers. If the answer is not correct, they are presented with the video. Students can listen to the question being read, watch the prompt at which point many will be able to solve the problem.
This is an ideal resource for students preparing for the Maths Challenges, but of course, is also excellent for any student working on their problem-solving skills. Highly recommended!
The BSRLM published an article on the development of challenge prompts based on a presentation given at their online conference in Summer 2021, see paper 20 here.
Remember that it is possible to access Maths Challenge questions by topic for Junior, Intermediate and Senior from Dr Frosts’s wonderful website full of outstanding resources. Very conveniently it is possible to download zip files of questions by topic, choose a resource, for example, Senior Maths Challenge questions by topic and you will see the option to download all files. You can also search the UKMT database by topic.
From UKMT you can look at full solutions for recent papers also note the investigations and solutions to individual questions for the Junior, Intermediate and Senior competitions. The UKMT Solo Competitions page provides a useful index to resources. Solutions are also available for follow on rounds.
The investigations take a question further.
Have a look for example at the solutions and investigation for the 2020 paper.
On the outstanding Diagnostic Questions site, you can choose Maths Challenge questions by topic for the Junior, Intermediate and Senior Challenges by choosing the Themed Quizzes option. These quizzes consist of sets of four or five questions grouped by topic. (Log in to Diagnostic Questions to use the link.)
For further challenging problems see the post, Polya – Problem Solving which includes many recommendations.