Mathematics

“GCSE Maths teaches you the fundamentals that will help you later in life.” 

GCSE Mathematics is compulsory for all students in Key Stage Four (ages 14–16) at Queen Ethelburga’s College. The course equips students to solve complex mathematical problems and fosters key skills in pattern recognition, logical reasoning, and systematic thinking.

Key topics include:

• Number
• Ratio, Proportion, and Rates of Change
• Algebra
• Geometry and Measures
• Probability
• Statistics

Course Pathways:

• A two-year programme, with the opportunity to take GCSE Further Mathematics in Year 11 for high achievers.
• A one-year intensive course, followed by Further Mathematics and the option for Advanced Mathematics in Year 11.

For high-achieving students, GCSE Further Mathematics bridges the gap between GCSE and A Level study. The course focuses on higher-order problem-solving, algebraic fluency, and advanced reasoning.

Key topics include:

• Number
• Algebra
• Coordinate Geometry
• Calculus
• Matrix Transformations
• Geometry

“It’s like the arts and crafts of maths, plus it complements subjects such as geography, business, and economics.”

Statistics connects mathematical concepts with real-life examples in an ever-changing world. The course builds transferable skills in data analysis and interpretation.

Topics include:

• Data Collection
• Processing and Representing Data 
• Summarising Data 
• Scatter Diagrams and Correlation 
• Time Series 
• Probability 
• Index Numbers 
• Probability Distributions

“My experience of studying A Level Mathematics in the sixth form has been amazing. I appreciate the extra support sessions the teaching staff put in place and the extra effort teachers make.”

Mathematics is one of our most popular subjects at Queen Ethelburga’s College. As technology evolves, so too does mathematics, and it is becoming increasingly more essential in everyday and working life. A Level Mathematics is crucial for careers in science, engineering, data analysis, and finance. 

Topics include:

• Pure Mathematics:
  • Proof
  • Algebra and Functions
  • Coordinate Geometry
  • Sequences and Series
  • Trigonometry
  • Exponentials and Logarithms
  • Differentiation and Integration
  • Vectors
• Statistics:
  • Sampling
  • Data Presentation
  • Probability
  • Distributions
  • Hypothesis Testing
• Mechanics:
  • Quantities and Units
  • Kinematics
  • Forces and Newton’s Laws

Further Mathematics is an excellent choice if you’re aiming to study Mathematics or STEM degrees at university. It introduces advanced pure and applied topics.

Topics include:

• Pure Mathematics:
  • Complex Numbers
  • Matrices
  • Series and Hyperbolic Functions
  • Differential Equations
  • Polar Coordinates
• Statistics:
  • Continuous and Discrete Random Variables
  • Hypothesis Testing
  • Confidence Intervals
  • Chi-squared Tests
  • Non-parametric Methods
• Mechanics:
  • Dimensional Analysis
  • Work, Energy and Power
  • Circular Motion
  • Momentum and Impulse

“Teachers are all very kind, patient and helpful. I would advise future students not to hesitate to ask any questions they have, as even something that seems totally unrelated to the exam can be very useful.”

A Level Statistics provides practical, real-world data analysis skills essential in fields like economics, biology, psychology, and business.

Topics include:

• Data and Probability:
  • Graphs and Diagrams
  • Probability Distributions (Normal, Binomial, Poisson)
  • Correlation and Regression
  • Experimental Design
  • Bayes’ Theorem
• Statistical Inference:
  • Sampling and Hypothesis Testing
  • Significance Testing and Confidence Intervals
  • Goodness of Fit
  • Analysis of Variance
  • Statistical Enquiry Cycle