50 GCSE maths problem-solving questions for Higher tier, Challenge level, Sets A-E. The emphasis is on choosing methods, connecting skills and explaining mathematical decisions in exam-style problems.

More demanding problems that require extended reasoning and connected methods. Support, Core and Challenge describe levels within this resource range, not GCSE grades.

Included:

• 5 question sheets, with 10 questions per set.
• Separate worked solutions and mark schemes for every set.
• Printable PDFs and editable Microsoft Word versions.
• Combined question and answer PDFs, bookmarked by set.
• 8 question pages and 20 answer pages (28 unique pages in total).

Content includes rationalising surds, algebraic fractions, quadratic modelling, sphere volume, sine-rule ambiguity, circle theorems, vector intersection. Total available marks: 263. Marks by set: A: 58, B: 49, C: 52, D: 51, E: 53.

Calculators are allowed. Students write on separate paper: the sheets contain questions without answer lines or working spaces. Use labelled dimensions and graph scales. The solutions show methods and mark allocations, with credit for valid alternatives.

Use these resources for revision, homework, intervention or class discussion. Microsoft Word is recommended for editing the native drawings and equations; use the PDFs for reliable printing in other software.