Highgrove Education

GCSE Maths Enrichment

Students in the GCSE Maths enrichment elective will enjoy problem solving with questions from nRich, and the UKMT Intermediate Maths Challenge You will have the chance to work independently and collaboratively to put your mind to the test with a wide range of mathematical challenges. These questions will support and your development of numerical problem solving skills. The UKMT Intermediate Maths Challenge takes place at the end of January, and is open to students in both year 10 and year 11. Students that do particularly well in the Intermediate Maths Challenge are invited to sit the Kangaroo competition or the Olympiad, and all students on this course will have a taste of what type of questions come up in those competitions, and enhance their problem-solving ability. As we finish the academic year, you will have the chance to dip into some A level Mathematics and Further Mathematics material and tackle some intriguing and challenging problems which will help solidify a sense of wonder for mathematics and its applications to problem solving. 

Private Tuition

Key Information



Access Course Enrolment:
  • Enrolment in our pre-GCSE or pre-A level access course.
  • Access to our self-study materials and platform, live class lessons, and individual teacher support in Office Hours.
  • Weekly teacher-marked homework.
  • Half termly reports.
  • Support from our SENDCo for pupils with special educational needs or disabilities, including assessment for access arrangement entitlement.
  • Support with English for pupils whose first language is not English.
  • A Highgrove Education Office365 account, including Teams, SharePoint and a school email
TeacherMr Harry Williams, Head of Mathematics
Course LengthAcademic year
Live LessonsOne 45-minute lesson per week
HomeworkMinimal, although students may wish to continue their investigations independently.
Entry RequirementsStudents must be studying for GCSE Maths and have an interest in problem solving.

Course Syllabus

Autumn 1Problem Solving: Exploring and Noticing, Working Systematically, Conjecturing and Generalising, Reasoning, Convincing and Proving, Visualising and Representing
Autumn 2Being Curious, Resourceful, Resilient & Collaborative, & UKMT Intermediate Maths Challenge Preparation
Spring 1UKMT Intermediate Maths Challenge Preparation
Spring 2UKMT Intermediate Maths Challenge – Kangaroo/Olympiad; Problem Solving: Being Curious, Resourceful, Resilient & Collaborative
Summer 1Problem Solving: Exploring and noticing; working systematically, conjecturing and generalising, reasoning, convincing and proving, visualising and representing 
Summer 2A level Maths tasters: Infinite series, logarithms, complex numbers, matrices. The Josephus Flavius problem

Teacher Profile

Mr Williams has taught Maths and Further Maths for over ten years prior to joining Highgrove Education, most recently at Harrow School Online, where in 2023 his pupils achieved 90% A*-A in Maths and 100% A*-A in Further Maths. Before this he taught at Abingdon School where he was responsible for their UKMT challenges and Sixth Form Maths Enrichment. Mr Williams graduated with a First class Masters degree in Mathematics from the University of Sussex in 2013, then went on to complete his PGCE with the University of Reading. He is a keen advocate for the power of technology to enhance and indeed transform pupils’ enjoyment and understanding of Mathematics.