Goal-free problems are a great way to support all students, whether they need to develop their resilience or need a challenge to stretch themselves. They can support your Year 11 students in improving their knowledge and understanding by removing the cognitive load so that they focus on the maths they’re applying, rather than actually trying to answer the question.
Goal Free Problems is a website that you may find useful. The problems are easily downloadable and can be printed to share with your classes in the run-up to exams. There are lots of Foundation & Higher Tier problems available.