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NTC GTLE past questions and key areas to focus on Comprehensive Guide to SHS Mathematics
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 Core Content Areas & Weight Distribution

Content Area Key Topics Weight (%)
Number & Operations Real numbers, surds, percentages 16.7%
Algebra & Functions Polynomials, equations, sequences 16.7%
Geometry & Measurement 2D/3D shapes, coordinate geometry 15%
Trigonometry & Vectors Trigonometric ratios, bearings 18.3%
Calculus Derivatives, integrals 11.7%
Data Handling & Probability Statistics, probability rules 21.6%

Detailed Breakdown by Content Area

1. Number & Operations (16.7%)

  • Key Competencies:

    • Perform operations with real numbers

    • Simplify surds and logarithmic expressions

    • Solve percentage problems (interest, depreciation)

  • Teaching Tips:

    • Use real-life examples (bank interest calculations)

    • Visual aids for number system classification

2. Algebra & Functions (16.7%)

  • Key Topics:

    • Factorization techniques

    • Quadratic equations (3 solution methods)

    • Arithmetic/geometric sequences

  • Class Activity:

    • "Equation Olympics" with timed problem-solving

3. Geometry & Measurement (15%)

  • Focus Areas:

    • Angle properties (parallel lines, polygons)

    • 3D shape calculations (surface area/volume)

    • Coordinate geometry (circle equations)

  • Hands-on Idea:

    • Construct geometric figures using a compass and/ruler

4. Trigonometry & Vectors (18.3%)

  • Critical Concepts:

    • Pythagorean applications

    • Sine/cosine rules

    • Vector operations & bearings

  • Real-world Connection:

    • Navigation problems using bearings

5. Calculus (11.7%)

  • Core Skills:

    • Differentiation rules (product/quotient/chain)

    • Basic integration

    • Curve sketching

  • Teaching Strategy:

    • Graphical demonstrations of derivatives

6. Data & Probability (21.6%)

  • Essential Knowledge:

    • Statistical measures (mean, SD)

    • Probability rules (addition/multiplication)

    • Data representation (graphs/charts)

  • Engagement Tip:

    • Analyze real datasets (sports stats, weather data)


 Assessment Structure (Depth of Knowledge)

Cognitive Level Weight Sample Question Types
Recall (L1) 15% Define terms, state formulas
Understanding (L2) 25% Explain concepts, basic calculations
Application (L3) 30% Solve multi-step problems
Analysis (L4) 30% Real-world applications, proofs

Key Insight: 60% of assessments target higher-order thinking (L3/L4)


Teaching Resources & Strategies

Recommended Activities

  1. "Financial Math Day" (Number Operations)

    • Simulate bank transactions with interest calculations

  2. Geometry Scavenger Hunt

    • Identify geometric shapes in the school environment

  3. Probability Carnival

    • Design and analyze simple games of chance

Digital Tools

  • Graphing Software: Desmos/GeoGebra for visualizations

  • Statistical Tools: Excel for data analysis projects

Common Pitfalls to Address

  • Trigonometry: Emphasize unit circle connections

  • Calculus: Clarify derivative vs. integral concepts

  • Probability: Distinguish between independent/mutually exclusive events


 Free Resource Downloads

For the past question, click here: https://ntc.gov.gh/practice_test/maths_shs/ For more updates, click: https://seekersconsult247.com/?p=788&preview=true Follow us on WhatsApp for more updates: https://whatsapp.com/channel/0029VaCyYGIFHWpx22L38a2K Seekers Consult Contact Us for Your Study Abroad Journey We search for schools and check available scholarships for you Contact: 0550414552 / 0362297079 Loan for government workers Transcript Application English Proficiency Recommendation letter Project work/thesis for undergrate, master's, and PHD students.

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