A Structured Programme for Advanced Higher Tier Mathematics

Level 4 is the final stage of the HikmaX Maths Pathway, designed to develop the advanced mathematical understanding and problem-solving skills required for the highest GCSE grades.

Building on the knowledge developed in Level 3, students progress into demanding Higher Tier topics across algebra, functions, graphs, geometry, trigonometry, probability and mathematical proof.

The programme is designed for students who have a secure understanding of earlier GCSE content and are ready to work towards Grades 7–9.

What Students Will Learn

  • Surds, indices, recurring decimals, bounds and error intervals

  • Direct and inverse proportion

  • Harder quadratics, including factorisation, the quadratic formula and completing the square

  • Algebraic fractions, rearranging formulae, simultaneous equations and inequalities

  • Sequences, including Fibonacci, geometric and quadratic sequences

  • Functions, iteration and advanced graphs

  • Advanced trigonometry, 3D geometry, circle theorems, sectors and arcs

  • Vectors and mathematical proof

  • Histograms, cumulative frequency and box plots

  • Product rule for counting, conditional probability and probability equations

Topics are taught in a carefully planned sequence, developing the connections, reasoning and problem-solving skills required for Higher Tier Mathematics.

How the Programme Works

Students attend two live online lessons each week, with each lesson lasting one hour.

Lessons are interactive, and students can raise their hand whenever they need help. The teacher guides them through challenging questions step by step, while explaining the reasoning and methods needed to solve them effectively.

Higher Tier GCSE exam questions are integrated throughout the programme, helping students learn how to apply their knowledge to unfamiliar and multi-step problems.

Regular homework reinforces learning, exposes students to a wider range of challenging questions and develops the independence required for the highest GCSE grades.

The Result

Level 4 prepares students for the most demanding areas of GCSE Mathematics. They develop advanced mathematical reasoning, stronger exam technique and the confidence to tackle the challenging problems required for Grades 7–9.

Ready to Get Started with HikmaX Maths?

One HikmaX Maths subscription gives your child access to the complete four-level pathway. They can start at the level that best matches their current ability and progress step by step as their knowledge, skills and confidence grow.

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