• Correctly solve at least 2 out of 3 Unit Tests with full working
• Correctly solve at least 2 out of 3 Integration Tests
• Show clear method marks even if final answer has arithmetic errors
• Correct use of mathematical notation and units

• Correctly solve 1—2 Unit Tests and 1 Integration Test
• Shows correct method but with arithmetic errors
• Partially correct solutions with some steps missing
• Struggles with multi-step problems but handles single-step questions

• Cannot convert between fractions, decimals, and percentages
• Cannot solve simple linear equations
• Cannot apply Pythagoras” theorem correctly
• Does not show working for calculations
• Cannot interpret statistical diagrams (box plots, histograms)

Number (fractions, decimals, percentages, standard form)
  ├── Algebra (equations require number skills)
  │     └── Ratio and Proportion (proportional reasoning)
  └── Statistics (calculations require number skills)

Number (factors, multiples)
  └── Algebra (factorisation, simplification)

Algebra (solving equations)
  ├── Geometry (trigonometry, Pythagoras)
  └── Ratio and Proportion (formula rearrangement)

Geometry (area, perimeter)
  └── Statistics (histograms, frequency density)

Recommended order of diagnostic completion:

1. diag-number — foundational arithmetic skills
2. diag-algebra — core problem-solving toolkit
3. diag-geometry — requires algebra and number skills
4. diag-ratio-proportion — applied number skills
5. diag-statistics — integrates number and algebra skills

Total recommended time: approximately 2.75 hours (spread across 2 sessions).

1. Complete each diagnostic without a calculator unless the question explicitly allows one.
2. Show ALL working — method marks are often worth more than the final answer in GCSE exams.
3. Pay attention to units — convert to consistent units before calculating.
4. Check solutions immediately, comparing both method and final answer.
5. If you score FAIL on a topic, review the source file and practise additional problems before retrying.
6. Integration Tests combine skills from multiple topics — these are essential for Paper 2 and Paper 3 preparation.
7. Common pitfalls to watch: percentage change vs percentage of, confusing median and mean, forgetting units in compound measures.

The key principles covered in this topic are linked in the sub-pages above. Focus on understanding the definitions, applying the formulas or frameworks, and evaluating strengths and limitations of each approach.

Worked examples demonstrating the application of key concepts are covered in the detailed sub-pages linked above.

• Confusing terminology or concepts that appear similar but have distinct meanings.
• Overlooking key assumptions or boundary conditions that limit applicability.

This diagnostic assessment provides comprehensive coverage of Gcse content for the Qualifications qualification, with detailed explanations, worked examples, and practice questions aligned to the specification.

This page includes:

• Key Definitions: Precise explanations of essential concepts
• Core Concepts: Detailed treatment of fundamental principles
• Worked Examples: Step-by-step solutions demonstrating application
• Practice Questions: Examination-style questions with mark schemes
• Common Pitfalls: Frequent errors and how to avoid them
• Exam Tips: Strategies for maximising marks

1. Read through the introductory material to establish context
2. Study the definitions and core concepts carefully
3. Work through the worked examples, following each step
4. Attempt the practice questions independently
5. Review your answers against the provided solutions
6. Note any areas requiring further revision

• Foundational definitions and terminology
• Application of principles to examination contexts
• Connections to related topics within the specification
• Assessment objective alignment

• Active Recall: Test yourself on the material rather than passively re-reading
• Spaced Repetition: Review this content at increasing intervals
• Interleaving: Mix this topic with others during study sessions
• Elaborative Interrogation: Ask yourself why each concept works

Practise applying these concepts under timed conditions. Focus on understanding what each question is asking and how marks are allocated. Review examiner reports to learn from common mistakes made by other students.