This set of Higher Tier problem-solving questions is designed for students aiming for GCSE grades 6 and 7.

Each task blends two or more topics to mirror the hybrid-style problems found in exams, helping students develop fluency, reasoning, and multi-step problem-solving skills. Topics include box plots and cumulative frequency graphs, composite functions, forming equations using index laws, algebraic fractions, graphing inequalities, the capture recapture method and population models using iteration and more.

These questions encourage learners to think critically and apply their knowledge in unfamiliar contexts. Full answers and worked solutions are included to support independent study and meaningful revision.